Papers in preparation

Edited Books:

Editorial Contributions:

  1. Shen, B.-W., R. A. Pielke Sr., and X. Zeng 2023b: 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Special Issue on Multistability, Multiscale Predictability, and Sensitivity in Numerical Models. [Editorial]  Atmosphere 2023, 14(8), 1279; https://doi.org/10.3390/atmos14081279 (22 journal pages)

Magazines, Newsletters, and NASA Technical Reports:

  1. Pielke, R.A., B.-W. Shen, X. Zeng, 2024: Butterfly Effects. Physics Today 77 (9), 10. https://doi.org/10.1063/pt.ifge.djjy 

  2. Pielke Sr, R., B.-W. Shen, X. Zeng: 2024: The Butterfly Effect: Can a butterfly in Brazil cause a tornado in Texas? Weatherwise. https://doi.org/10.1080/00431672.2024.2329521. (pdf)

  3. Shen, B.-W.*, 2015: Simulations and Visualizations of Hurricane Sandy (2012): Multiscale Processes vs. Butterfly Effect. APEC Research Center for Typhoon and Society (ACTS) Newsletter, Vol. 5, No. 3, 12-15 December 2015. (pdf)

  4. Shen, B.-W.*, S. Cheung, J.-L. F. Li, and Y.-L. Wu, 2013:  Analyzing Tropical Waves using the Parallel Ensemble Empirical Model Decomposition (PEEMD) Method: Preliminary Results with Hurricane Sandy (2012),  NASA ESTO Showcase by IEEE Earthzine magazine. posted December 2, 2013.  (URL) (pdf)

  5. Shen, B.-W.*, 2013: Simulations and Visualizations of Hurricane Sandy (2012) as Revealed by the NASA CAMVis. NASA ESTO Showcase by IEEE Earthzine magazine. posted December 2, 2013.  (URL) (pdf)

  6. Tao, W.-K., D. Anderson, R. Atlas, J. Chern, P. Houser, A. Hou, S. Lang, W. Lau, C. Peters-Lidard, R. Kakar, S. Kumar, W. Lapenta, X. Li, T. Matsui, R. Rienecker, B.-W. Shen, J. J. Shi, J. Simpson, and X. Zeng, 2008: A Goddard Multi-Scale Modeling System with Unified Physics. World Climate Research Programme Global Energy and Water Cycle Experiment (WCRP/GEWEX) Newsletter, Vol 18, No 1, 6-8. (pdf)

  7. Shen, B.-W.*, R. Atlas, W.-K. Tao, T. Lee, O. Reale, J.-D. Chern, S.-J. Lin, J. Chang, C. Henze, J.-L. Li, 2006: Experimental High-Resolution Weather/Hurricane Predictions with the NASA fvGCM. High-End Computing at NASA, 48-49. (PDF) (pdf)

  8. Tao, W.-K., A. Hou, W. Lau, J.-D. Chern, S. Lang, B.-W. Shen, C. Peters-Lidard, R. Shi, X. Li, X. Zeng, S. Kumar, C.-L. Shie, 2006: Applications, Evaluation, and Important of Multi-Scale Modeling Systems. High-End Computing at NASA, 40-41. (pdf)

  9. Chang, Y., S. D. Schubert, S.-J. Lin, S. Nebuda, and B.-W. Shen, 2001: The climate of the FVCCM-3 Model. NASA/GSFC Technical Report Series on Global Modeling and Data Assimilation, vol 20, p. 127. (pdf) (pdf)

  10. Shen, B.-W.*, P.. Fuh, and S. G. Wu, 1994: Development of Meteorological Information Service System --- The Second Generation of Current Weather Answering System. Weather Forecasting and Analysis. 140, Taipei, Taiwan (in Chinese), 24-48. (toc)

  11. Shen, B. -W.*, J.-M. Shyu, et al. 1994: Meteorological Automatic Operation Improvement Project Part I: Transferring the Computer Meteorological Products. Weather Forecasting and Analysis. 138, Taipei, Taiwan (in Chinese), 32-39. (toc)

  12. Shen, B. -W.*, P. Fuh, et al. 1994: Meteorological Automatic Operation Improvement Project Part II: Transferring the Computer Meteorological Products. Weather Forecasting and Analysis. 138, Taipei, Taiwan (in Chinese), 40-45. (toc)

  13. Shen, B.- W.*, and M. T., Lu, 1993: The Application of Fourier Transform in Atmospheric Sciences. Weather Forecasting and Analysis. 136, Taipei, Taiwan (in Chinese), 25-43. (toc)

  14. Shen, H., A.-C. Yih, V. S. Ku, and B.-W. Shen, 1993: The Evolution of the Observed Weather Service System. Weather Forecasting and Analysis, 136, Taipei, Taiwan (in Chinese), 9-15. (toc)

Refereed Book Chapters:

  1. Shen, B.-W.*, 2023: Attractor Coexistence, Butterfly Effects, and Chaos Theory (ABC): A Review of Lorenz Models and a Generalized Lorenz Model. 10.1007/978-3-031-60907-7_42. Proofs available from RG: https://www.researchgate.net/publication/372194700 (accepted Sep 13, 2023; in press)

  2. Shen, B.-W.*, 2021: Solitary Waves, Homoclinic Orbits, and Nonlinear Oscillations within the non-dissipative Lorenz Model, the inviscid Pedlosky Model, and the KdV Equation. In: Christos H. Skiadas, Yiannis Dimotikalis (eds) The 13th Chaos International Conference CHAOS 2020. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-70795-8_58   (proofs available from pdf)

  3. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J.-J. Baik, S. Faghih-Naini, J. Cui, R. Atlas, T.A. Reyes, 2021:  Is Weather Chaotic? Coexisting Chaotic and Non-Chaotic Attractors within Lorenz Models. In: Christos H. Skiadas, Yiannis Dimotikalis (eds) The 13th Chaos International Conference CHAOS 2020. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-70795-8_57  (proofs available from pdf) 

  4. Shen, B.-W.*, T. Reyes#, and S.  Faghih-Naini#, 2019: Coexistence of Chaotic and Non-Chaotic Orbits in a New Nine-Dimensional Lorenz Model. In: Skiadas C., Lubashevsky I. (eds) 11th Chaotic Modeling and Simulation International Conference. CHAOS 2018. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-15297-0_22  (slides) (pdf) (google ebook)

  5. Reyes, T.#  and B.-W. Shen*, 2020: A Recurrence Analysis of Multiple African Easterly Waves during  Summer 2006, Current Topics in Tropical Cyclone Research, Anthony Lupo, IntechOpen, DOI: 10.5772/intechopen.86859. Available from: (link)

  6. Lin, Y.-L., J. Spinks, and B.-W. Shen, 2017: Formation and Maintenance of an African Easterly Wave -Mesoscale Convective System in 2004 over East Africa and Arabian Peninsula. Ch. 1 (pp.1-34) of the “North Africa Social, Environmental and Political Issues” (Ed. S. Fuller), Nova Scientific Publishers, Inc., New York, 102pp. (ISBN: 978-1-53612-984-7).  (pdf)

  7. Biswas, R., M.J. Aftosmis, C. Kiris, and B.-W. Shen, 2007: Petascale Computing: Impact on Future NASA Missions. Petascale Computing: Architectures and Algorithms, 29-46 (D. Bader, ed.), Chapman and Hall / CRC Press, Boca Raton, FL.(pdf)

  8. Atlas, R., S.-J. Lin, B.-W. Shen, O. Reale, and K.-S. Yeh: 2007: Improving Hurricane Prediction through Innovative Global Modeling. EXTENDING THE HORIZONS: Advances in Computing, Optimization and Decision Technologies, 1-14 (Editors: E. Baker, A. Joseph, A. Mehrotra, M. Trick), Springer, New York, NY. DOI: 10.1007/978-0-387-48793-9_1

Refereed Journal Articles: 

  1. Shen, B.-W.*, 2024: Exploring Downscaling in High-Dimensional Lorenz Models Using the Transformer Decoder. Mach. Learn. Knowl. Extr. 2024, 6, 2161-2182. https://doi.org/10.3390/make6040107

  2. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, and X. Zeng, 2024: Exploring the Origin of the Two-Week Predictability Limit: A Revisit of Lorenz’s Predictability Studies in the 1960s. Atmosphere 2024, 15(7), 837; https://doi.org/10.3390/atmos15070837 (podcast)

  3. Shen, B.- W., 2024: Revisiting Lorenz’s Error Growth Models: Insights and Applications. Encyclopedia 2024, 4(3), 1134-1146; https://doi.org/10.3390/encyclopedia4030073

  4. Shen, B.-W., 2023: A Review of Lorenz's Models from 1960 to 2008. International Journal of Bifurcation and Chaos. Vol. 33, No. 10, 2330024 (2023).  https://doi.org/10.1142/S0218127423300240. Proof version available from RG https://doi.org/10.13140/RG.2.2.24115.81446 (Feature Article)

  5. Shen, B.-W., R. A. Pielke Sr., X. Zeng, and X. Zeng, 2023: Lorenz’s View on the Predictability Limit. Encyclopedia 2023, 3(3), 887-899; https://doi.org/10.3390/encyclopedia3030063

  6. Paxson, W#. and B.-W. Shen*, 2023: A KdV-SIR Equation and Its Analytical Solutions: An Application for COVID-19 Data Analysis. Chaos, Solitons & Fractals. https://doi.org/10.1016/j.chaos.2023.113610 (published online, June 1, 2023)

  7. Shen, B.-W., R. A. Pielke Sr., X. Zeng, J. Cui#, S. Faghih-Naini#, W. Paxson#, A. Kesarkar, X. Zeng, R. Atlas, 2022c: The Dual Nature of Chaos and Order in the Atmosphere. Atmosphere 13, no. 11: 1892. https://doi.org/10.3390/atmos13111892. (Editor's Choice) (a long list)

  8. Paxson, W#. and B.-W. Shen, 2022: A KdV-SIR Equation and Its Analytical Solutions for Solitary Epidemic Waves.  International Journal of Bifurcation and Chaos. https://doi.org/10.1142/S0218127422501991.  Proofs Available from https://doi.org/10.13140/RG.2.2.34193.10087

  9. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J. Cui, S. Faghih-Naini, W. Paxson, R. Atlas, 2022b: Three Kinds of Butterfly Effects Within Lorenz Models. Encyclopedia 2, no. 3: 1250-1259. https://doi.org/10.3390/encyclopedia2030084 

  10. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, 2022a: One Saddle Point and Two Types of Sensitivities Within the Lorenz 1963 and 1969 Models. Atmosphere 13, no. 5: 753. https://doi.org/10.3390/atmos13050753

  11. Cui, J.# and B.-W. Shen*, 2021: A Kernel Principal Component Analysis of Coexisting Attractors within a Generalized Lorenz Model. Chaos, Solitons & Fractals, 146. https://doi.org/10.1016/j.chaos.2021.110865. 

  12. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J.-J. Baik,  S. Faghih-Naini#, J. Cui#, and R. Atlas, 2021: Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model. Bulletin of the American Meteorological Society, 102(1), E148-E158. https://doi.org/10.1175/BAMS-D-19-0165.1

  13. Shen, B.-W.*, 2020: Homoclinic Orbits and Solitary Waves within the non-dissipative Lorenz Model and KdV Equation. International Journal of Bifurcation and Chaos. 30. 2050257-1-15. DOI:10.1142/S0218127420502570.

  14. Shen, B.-W.*, 2019a: Aggregated Negative Feedback in a Generalized Lorenz Model. International Journal of Bifurcation and Chaos, Vol. 29, No. 3 (2019) 1950037 (20 pages). https://doi.org/10.1142/S0218127419500378

  15. Shen, B.-W.*, 2019b: On the Predictability of 30-day Global Mesoscale Simulations of Multiple African Easterly Waves during Summer 2006: A View with a Generalized Lorenz Model. Geosciences 2019, 9(7), 281; https://doi.org/10.3390/geosciences9070281  

  16. Reyes, T.# and B.-W. Shen*, 2019a:  A Recurrence Analysis of Chaotic and Non-Chaotic Solutions within a Generalized Nine-Dimensional Lorenz Model. Chaos, Solitons & Fractals. Chaos, Solitons & Fractals. 125 (2019), 1-12. https://doi.org/10.1016/j.chaos.2019.05.003

  17. Shen, B.-W.*, 2018: On periodic solutions in the non-dissipative Lorenz model: the role of the nonlinear feedback loop. Tellus A: 2018, 70, 1471912, https://doi.org/10.1080/16000870.2018.1471912.  (pdf)

  18. Faghih-Naini, S#. and B.-W. Shen*, 2018: Quasi-periodic orbits in the five-dimensional non-dissipative Lorenz model: the role of the extended nonlinear feedback loop. International Journal of Bifurcation and Chaos, Vol. 28, No. 6 (2018) 1850072 (20 pages).DOI: 10.1142/S0218127418500724.  (IJBC is ranked 6th out of 111 in the Multidisciplinary category) (selected as one of IJBC featured articles of 2018) (gallery) (pdf) 

  19. Shen, B.-W.*, S. Cheung, Y. Wu, F. Li, and D. Kao, 2017: Parallel Implementation of the Ensemble Empirical Mode Decomposition (PEEMD) and Its Application for Earth Science Data Analysis. Computing in Science & Engineering, vol. 19, no. 5, pp. 49-57, September/October 2017, doi:10.1109/MCSE.2017.3421555. (pdf)

  20. Shen, B.-W.*, 2017: On an extension of the nonlinear feedback loop in a nine-dimensional Lorenz model. Chaotic Modeling and Simulation (CMSIM), 2: 147–157, 2017. (pdf)

  21. Shen, B.-W.*, 2017:  Forecasting Tropical Cyclogenesis with a Global Mesoscale Model: Results for Six Tropical Cyclones in May 2002. Fish & Ocean Opj. 2017; 4(1): 555626. DOI:10.19080/OFOAJ.2017.04.555626. (mini review; invited). 

  22. Shen, Samuel S.P., Gregori Clarke, B.-W. Shen, and Tandong Yao, 2017: Spatiotemporal Variations of the 20th Century Tibetan Plateau Precipitation Based on the Monthly 2.5-Degree Reconstructed Data. Theor Appl Climatol (2017). https://doi.org/10.1007/s00704-017-2357-5. 

  23. Shen, B.-W.*, 2016: Hierarchical scale dependence associated with the extension of the nonlinear feedback loop in a seven-dimensional Lorenz model. Nonlin. Processes Geophys., 23, 189-203, doi:10.5194/npg-23-189-2016, 2016.  (pdf)

  24. Shen, B.-W.*, S. Cheung, J.-L. F. Li, and Y.-L. Wu, S. S. Shen, 2016:  Multiscale Processes of Hurricane Sandy (2012) as Revealed by the Parallel Ensemble Empirical Mode Decomposition and Advanced Visualization Technology. Advances in Data Science and Adaptive Analysis. 08, 1650005 (2016) [22 pages] DOI: http://dx.doi.org/10.1142/S2424922X16500054 (pdf)

  25. Wu, Y.-L.,and B.-W. Shen*, 2016: An Evaluation of the Parallel Ensemble Empirical Mode Decomposition Method in Revealing the Role of Downscaling Processes Associated with African Easterly Waves in Tropical Cyclone Genesis. J. Atmos. Oceanic Technol. 33, 1611-1628, DOI: 10.1175/JTECH-D-15-0257.1. (pdf)

  26. Shen, B.-W.*, 2015b: Nonlinear Feedback in a Six-dimensional Lorenz Model. Impact of an additional heating term. Nonlin. Processes Geophys., 22, 749-764, doi:10.5194/npg-22-749-2015, 2015. (link) (pdf)

  27. Shen, B.-W.*, 2015a: Parameterization of Negative Nonlinear Feedback using a Five-dimensional Lorenz Model. Fractal Geometry and Nonlinear Anal in Med and Bio. 1, 33-41, doi: 10.15761/FGNAMB.1000109 (pdf)

  28. Shen, B.-W.*, 2014: Nonlinear Feedback in a Five-dimensional Lorenz Model. J. of Atmos. Sci., 71, 1701–1723. doi:http://dx.doi.org/10.1175/JAS-D-13-0223.1 

  29. Shen, B.W.*, M. DeMaria, J.-L. F. Li, and S. Cheung, 2013c: Genesis of Hurricane Sandy (2012) Simulated with a Global Mesoscale Model. Geophys. Res. Lett. 40. 2013, DOI: 10.1002/grl.50934.  (pdf)

  30. Shen, B.-W.*, B. Nelson, S. Cheung, and W.-K. Tao, 2013b: Improving the NASA Multiscale Modeling Framework's Performance for Tropical Cyclone Climate Study. Computing in Science and Engineering,  IEEE computer Society Digital Library. IEEE Computer Society,no. 5, pp. 56-67, Sep./Oct. 2013  (pdf) (pdf1)

  31. Shen, B.-W.*, B. Nelson, W.-K. Tao, and Y.-L. Lin, 2013a: Advanced Visualizations of Scale Interactions of Tropical Cyclone Formation and Tropical Waves. Computing in Science and Engineering, vol. 15, no. 2, pp. 47-59, March-April 2013, doi:10.1109/MCSE.2012.64 (pdf) 

  32. Shen, B.-W.*, W.-K. Tao, Y.-L. Lin, A. Laing, 2012: Genesis of Twin Tropical Cyclones as Revealed by a Global Mesoscale Model: The Role of Mixed Rossby Gravity Waves. J. Geophys. Res., 117, D13114, doi:10.1029/2012JD017450. (pdf) 

  33. Shen, B.-W.*, W.-K. Tao, Y.-L. Lin, and A. Laing, 2012s: Correction to: "Genesis of twin tropical cyclones as revealed by a global mesoscale model: The role of mixed Rossby gravity waves" J. Geophys. Res., 117, D16199,   doi:10.1029/2012JD018598. (pdf)

  34. Shen, B.-W.*, W.-K. Tao, and B. Green, 2011: Coupling Advanced Modeling and Visualization to Improve High-Impact Tropical Weather Prediction(CAMVis), IEEE Computing in Science and Engineering (CiSE), vol. 13, no. 5, pp. 56-67, Sep./Oct. 2011, doi:10.1109/MCSE.2010.141 (impact factor: 1.42) (pdf) (pdf1) (pdf1)

  35. Shen, B.-W.*, W.-K. Tao, and M.-L. Wu, 2010b: African Easterly Waves in 30-day High-resolution Global Simulations: A Case Study during the 2006 NAMMA Period. Geophys. Res. Lett., 37, L18803, doi:10.1029/2010GL044355. (pdf) (supplemental)

  36. Shen, B.-W.*, W.-K. Tao, W. K. Lau, R. Atlas, 2010a: Predicting Tropical Cyclogenesis with a Global Mesoscale Model: Hierarchical Multiscale Interactions During the Formation of Tropical Cyclone Nargis (2008) . J. Geophys. Res.,115, D14102, doi:10.1029/2009JD013140. (available at AGU; a brief summary) A story entry derived from this article appeared in the April 2010 "Research Breakthroughs," to be disseminated by the Division of Research at the University of Maryland at College Park. (pdf)

  37. W.-K. Tao, D. Anderson, J. Chern, J. Entin, A. Hou, P. Houser, R. Kakar, S. Lang, W. Lau, C. Peters-Lidard, X. Li, T. Matsui, M. Rienecker, M. R. Schoeberl, B.-W. Shen, J. J. Shi, and X. Zeng, 2009: A Goddard Multi-Scale Modeling System with Unified Physics. Special Issue dedicated to The 1st International Conference on From Desert to Monsoons. Ann. Geophys., 27, 3055-3064.(pdf)

  38. Li, F. J.-L., D. Waliser, C. Woods, J. Teixeira, J. Bacmeister, J. Chern, B.-W. Shen, A. Tompkins, W.-K. and M. Kohler, 2008: Comparisons of satellites liquid water estimates to ECMWF and GMAO analyses, 20th century IPCC AR4 climate simulations, and GCM simulations. Geophysical Research Letters, 35, L19710, doi:10.1029/2008GL035427.

  39. Shen,B.-W.*, R. Atlas, O. Oreale, S.-J Lin, J.-D. Chern, J. Chang, C. Henze,and J.-L. Li, 2006b: Hurricane Forecasts with a Global Mesoscale-Resolving Model: Preliminary Results with Hurricane Katrina(2005). Geophys. Res. Lett., L13813, doi:10.1029/2006GL026143. (This has been selected as an AGU Journal Highlight, and has also been highlighted in Science, 25 August 2006) (pdf) (Supplemental)

  40. Atlas, R., O. Reale, B.-W. Shen, S.-J. Lin, 2006: The use of remotely sensed data and innovative modeling to improve hurricane prediction. Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XII. Proc. SPIE, 6233, 62330U, DOI:10.1117/12.673221.(pdf)

  41. Shen, B.-W.*, R. Atlas, J.-D. Chern, O. Reale, S.-J. Lin, T. Lee, and J.Change 2006a: The 0.125 degree Finite Volume General Mesoscale Circulation Model: Preliminary simulations of mesoscale vortices. Geophys. Res. Lett., 33, L05801, doi:10.1029/2005GL024594. (This work has been cited as a " A Global/Mesoscale Modeling Breakthrough.'')

  42. Putman, W., S.-J. Lin, and B.-W. Shen, 2005: Cross-Platform Performance of a Portable Communication Module and the NASA Finite Volume General Circulation Model. International Journal of High Performance Computing Applications. 19: 213-223.(pdf)

  43. Atlas, R., O. Reale, B.-W. Shen, S.-J. Lin,J.-D. Chern, W. Putman, T. Lee, K.-S. Yeh, M. Bosilovich, and J.Radakovich, 2005: Hurricane forecasting with the high-resolution NASA finite-volume General Circulation Model, Geophysical Research Letters,32, L03801, doi:10.1029/2004GL021513. (This has been selected as an AGU Journal Highlight.) 

  44. Shen, B.- W., and Y.-L. Lin, 1999: Effects of Critical Levels on Two-Dimensional Backsheared Flow over an Isolated Mountain Ridge on an f-plane. J. of Atmos. Sci., 56, 3286-3302.

  45. Shen, B.-W., and N.-H. Lin, 1995: A Theoretical Study of the Effects of an Isolated Mountain on Particle Deposition. J. of Atmos. Sci., 23, Taipei, Taiwan (in Chinese), 237-264.(pdf)

Thesis and Dissertation:

  1. Shen, B.-W., 1998: Inertia Critical Layers and Their Impacts on Nongeostrophic Baroclinic Instability. Ph.D. Dissertation. North Carolina State Univ., p. 255. (pdf)

  2. Shen, B.- W., 1992: The Linear Solution of a Three-Dimensional Flow over an Isolated Mountain, Master Thesis, National Central University, Taiwan, (in Chinese), p. 85. (pdf)

Technical Report/Newsletters/Magazine and Journal Articles (with Preprints):

  1. Shen, B.-W.*, R. A. Pielke Sr., Xubin Zeng, 2024: A Summary of Two Kinds of Butterfly Effects. Available from ResearchGate: https://doi.org/10.13140/RG.2.2.32401.24163 (podcast)

  2. Shen, B.-W.*, R. A. Pielke Sr., Xubin Zeng, 2024: Special Issue Theme Topic: "Revisiting Butterfly Effect, Multiscale Dynamics, and Predictability Using Ai-Enhanced Modeling Framework (AEMF) and Chaos Theory". https://doi.org/10.13140/RG.2.2.33483.20003 (webpage https://www.mdpi.com/topics/B9N0115Q3E)

  3. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, 2024: Revisiting Lorenz’s and Lilly’s Empirical Formulas for Predictability Estimates. https://egusphere.copernicus.org/preprints/2024/egusphere-2024-2228/ (for open review and discussion on EGUsphere)

  4. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng,  and X. Zeng, 2024: Recent Advances in Predictability and Prediction Using PDE-Based, AI-Powered, and Idealized Generalized Lorenz Models.  https://encyclopedia.pub/entry/56862 (This entry is adapted from the peer-reviewed paper 10.3390/atmos15070837) 

  5. Zhou, O.# and B.-W. Shen*, 2024: The Annotated Guide to LogisticEquations with Python. San Diego State University. (pdf) (podcast)

  6. Shen, B.-W. 2024: Predictability Limit Hypothesis: Insights and Advances from Recent Studies. [2 pages]  https://doi.org/10.13140/RG.2.2.18729.61282

  7. Shen, B.-W.*, 2024: A Brief Review of AI-Enhanced Modeling Framework. https://en.wikipedia.org/wiki/History_of_numerical_weather_prediction#AI-Enhanced_Modeling_Framework

  8. Shen, B.-W. 2024: Review of "Analysis of model error in forecast errors of extended atmospheric Lorenz' 05 systems and the ECMWF system". (review report)

  9. Shen, B.-W. 2024: Review of: Exploring Transformation in Flux-Like Pattern – A Review of The Chinese Biantong in Yijing. Qeios. https://doi.org/10.32388/2Z0URX

  10. Shen, B.-W., 2023: Comments on ""Analysis of model error in forecast errors of extended atmospheric Lorenz' 05 systems and the ECMWF system by Bednář and Kantz". EGU GMD (pdf)

  11. Shen, B.-W., 2023: Comments on "Variability and Predictability of a reduced-order land atmosphere coupled model" by Xavier et al. (2023). EGUsphere.  (URL)

  12. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, and X, Zeng, 2024: On the Two-Week Predictability Limit Hypothesis: A Revisit of Lorenz’s Modeling and Predictability Studies from 1960 to 2008. Days Of Applied NOnlinearity and Complexity (DANOC), January 12-14, 2024. (pdf)

  13. Shen, B.-W., R. Pielke, Sr., and X. Zeng, 2023: Preface: Commemorating the 50th Anniversary of the Metaphorical Butterfly Effect. DOI: 10.13140/RG.2.2.25185.07521

  14. Shen, B.-W., 2023: A Personal View on the Challenges of Accuracy and the Butterfly Effect in AI's Role in STEM Information Synthesis. https://doi.org/10.13140/RG.2.2.16112.88324 (1 page). (link)

  15. Shen, B.-W.*, 2023: Exploring Chaos Theory and Its Impact on Predictability Studies: A Brief Report with Responses to Reader’s Questions. Available from ResearchGate. https://doi.org/10.13140/RG.2.2.26058.64960

  16. Shen, B.-W., R. Pielke, Sr., and X. Zeng, 2022: Supplementary Materials for the Manuscript Entitled “Revisiting Lorenz’s and Lilly’s Empirical Formulas for Predictability Estimates: Does the Estimated Limit Represent an Intrinsic or Practical Predictability?”. Available from ResearchGate: https://doi.org/10.13140/RG.2.2.10629.83683

  17. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J. Cui#, S. Faghih-Naini#, W. Paxson#, A. Kesarkar, X. Zeng, R. Atlas, 2022: Chaos and Order in the Atmosphere. https://encyclopedia.pub/entry/35869 (an editable entry originally derived from Shen et al. 2022c). 

  18. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J. Cui#, S. Faghih-Naini#, W. Paxson#, A. Kesarkar, X. Zeng, R. Atlas, 2022: Coexisting Attractors within Classical and Generalized Lorenz Models. https://encyclopedia.pub/entry/36139. (an editable entry originally derived from Shen et al. 2022c). 

  19. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J. Cui, S. Faghih-Naini, W. Paxson, R. Atlas, 2022: Three Kinds of Butterfly Effects Within Lorenz Models. https://encyclopedia.pub/entry/24852 (an editable entry originally derived from Shen et al. 2022b). 

  20. Shen, B.-W.*, 2022: Supplementary Materials (II) for the Paper Entitled "One Saddle Point and Two Types of Sensitivities Within the Lorenz 1963 and 1969 Models". Available as supplementary materials from the following paper: https://doi.org/10.3390/atmos13050753. (also available from ResearchGate: https://doi.org/10.13140/RG.2.2.10372.81284) 

  21. Shen, B.-W.* R.. A. Pielke Sr., X. Zeng,  2021: 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Special Issue on Multistability, Multiscale Predictability, and Sensitivity in Numerical Models. https://doi.org/10.13140/RG.2.2.30931.30241 (the special issue for Atmosphere)

  22. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J.-J. Baik,  S. Faghih-Naini#, J. Cui#, and R. Atlas, 2021: Is Weather Chaotic? Coexisting Attractors and Multistability. 2021 Conference on Weather Analysis and Forecasting. Central Weather Bureau. October 26-28, 2021. https://doi.org/10.13140/RG.2.2.11229.95205  (invited)

  23. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J.-J. Baik,  S. Faghih-Naini#, J. Cui#, and R. Atlas, 2021: Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model. AOGS.  August 2, 2021. (pdf) https://bit.ly/2WsCtia (invited)

  24. Zeng, X., B.-W. Shen, R. A. Pielke Sr. 2021: Atmospheric Predictability Research under WADFA. In response to the RFI on NASA’s Weather and Atmospheric Dynamics Focus Area. (submitted, 18 Jan. 2021). 

  25. Cui, J.# and B.-W. Shen*, 2020: Applying a Kernel PCA Method to Reveal Coexisting Attractors within a Generalized Lorenz Model. Chaotic Modeling & Simulation Web Conference. 22-24 October 2020. http://doi.org/10.13140/RG.2.2.28342.11843.  (a plenary talk) (pdf)

  26. Shen, B.-W., 2020: Recent Findings On the Dual Nature of Chaos and Order in Weather and Climate: A Paradigm Shift in Predictability Research. A Research Report in Response to The Request for Information on Earth System Predictability R&D. http://doi.org/10.13140/RG.2.2.31944.75526 (submitted, 14 May 2020).

  27. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, S. Faghih-Naini#, C.-L. Shie, R. Atlas, J.-J. Baik, and T. A. L. Reyes#, 2018: Butterfly Effects of the First and Second Kinds: New Insights Revealed by High-dimensional Lorenz Models.  The 11th Chaos International Conference (CHAOS2018), Rome, Italy, June 5-8, 2018. (pdf)

  28. Shen, B.-W.*, and  S. Faghih-Naini#, 2017: On recurrent solutions within high-dimensional non-dissipative Lorenz models: the role of the nonlinear feedback loop. The 10th Chaos Modeling and Simulation International Conference (CHAOS2017), Barcelona, Spain, 30 May - 2 June 2017. (pdf)

  29. Shen, B.-W.*, 2016: On periodic solutions associated with the nonlinear feedback loop in the non-dissipative Lorenz model. Nonlin. Processes Geophys. Discuss. https://doi.org/10.5194/npg-2016-40  (link) 

  30. Shen, B.-W.*, 2015: Using Katrina and Sandy Data to Improve Hurricane Prediction Tools. Supercomputing Conference 2015 (SC15). Austin, TX, Nov. 15-20, 2015. (url) (pdf)

  31. Shen, B.-W.*, 2014: On the nonlinear feedback loop and energy cycle of the non-dissipative Lorenz model. Nonlin. Processes Geophys. Discuss., 1, 519-541, https://doi.org/10.5194/npgd-1-519-2014, 2014.

  32. Shen, B.-W.*, 2013: comments on ``Atmospheric waves as scaling, turbulent phenomena’’ by J. Pinel and S. Lovejoy Atmos. Chem. Phys. Discuss., 13, 14797–14822, 2013 (MS No.: acp-2013-111) (pdf)

  33. Shen, B.-W.*, 2011: Turning The Tables On Chaos: Is the Atmosphere More Predictable Than We Assume? (translated from R. Anthes in English)  (revised December  29, 2021) (in Chinese) https://doi.org/10.13140/RG.2.2.22825.31841

  34. Shen, B.-W.*, W.-K. Tao, B. Nelson, 2011: Recent Development of the NASA CAMVis for Tropical Cyclone Studies. The Earth Science Technology Forum 2011 (ESTF2011). Pasadena, CA., June 21-23, 2011. (slides) (pdf)

  35. Shen, B.-W.*, 2010: Recent Advances in Global Hurricane Modeling after Katrina (2005). Supercomputing Conference 2010 (SC10). New Orleans, Louisiana, November 15-18, 2010. (selected as one of the top 4 project demonstrations for SC10 among aeronautics, exploration, science, and space operations missions at NASA). (URL) (pdf)

  36. Shen, B.-W.*, W.-K. Tao, R. Atlas, Y.-L. Lin, C.-D. Peters-Lidard, J.-D. Chern, K.-S. Kuo, 2010: Application of a Global Mesoscale Model for Predicting the Formation of Twin Tropical Cyclones associated with a Madden-Julian Oscillation. Proceedings of the Joint 2010 CWB Weather Analysis- Forecasting and COAA 5th International Ocean-Atmosphere Conference, p78-86. Taipei, Taiwan, June 28-30, 2010. (pdf)

  37. Shen, B.-W.* et al., 2010: African Easterly Waves in 30-day High-resolution Global Simulations. A Case Study during the 2006 NAMMA period. Proceedings of the Joint 2010 CWB Weather Analysis- Forecasting and COAA 5th International Ocean-Atmosphere Conference, p87-96. Taipei, Taiwan, June 28-30, 2010.  (slides) (pdf)

  38. Shen, B.- W.*, 2009c: In Support of Hurricane Forecasting Research at CWB in Taiwan. Want Daily. October 7, 2009. (in Chinese). (pdf)

  39. Shen, B.- W.*, 2009b: Supercomputer and Typhoon Prediction.  Want daily forum. September 8, 2009. (in Chinese). (pdf)

  40. Shen, B.-W.*, 2009a: Current Challenges of Hurricane Intensity Predictions in Taiwan. Want daily forum and China Times. August 14, 2009. (in Chinese). (pdf)

  41. Shen, B.-W.*, 2009: Extending the Lead Time of Tropical Cyclogenesis Prediction with a Global Mesoscale Model. Supercomputing Conference 2009, Portland, Oregon, November 14-20, 2009. (selected as one of NASA's top project demonstrations at SC09). (URL) (pdf)

  42. Shen, B.-W.*, W.-K. Tao, B. Green, C. Henze, P. Mehrotra, J.-L. F. Li, 2009: High-impact Tropical Weather Prediction with the NASA Coupled Advanced multi-scale Modeling and concurrent Visualization Systems (CAMVis). Supercomputing conference 2009, Portland, Oregon, November 14-20, 2009. (pdf)

  43. Shen, B.-W.*, W.-K. Tao, J.-D. Chern, and R. Atlas, 2009: Scalability Improvements in the  NASA Goddard Multiscale Multicomponent Modeling Framework for Tropical Cyclone Climate Studies. HPC ASIA & APAN 2009 International Conference and Exhibition.Proceedings, p 249-256. Kaohsiung, Taiwan, March 2-5, 2009. (pdf)

  44. Shen, B.-W.*, and W.-K. Tao, and R. Atlas, 2009: Hurricane Forecasts with the Global Mesoscale model on NASA Supercomputers. HPC ASIA & APAN 2009 International Conference and Exhibition. Proceedings, p 649-650. Kaohsiung, Taiwan, March 2-5, 2009. (pdf)

  45. Shen, B.-W.*, and W.-K. Tao, 2008: Predicting the Formation of Tropical Cyclone Nargis (2008) with a High-resolution Global Model. International Conference for High Performance Computing, Net­working, Storage and Analysis (SC08). Austin, Texas, November 15-21, 2008. (slides) (pdf)

  46. Shen, B.-W.*, and W.-K. Tao, 2008: High-Impact Tropical Weather Prediction with the NASA Multi-scale Modeling System. International Conference for High Performance Computing, Net­working, Storage and Analysis (SC08). Austin, Texas, November 15-21, 2008.(Selected as one of NASA's top three project demonstrations at SC08; the #1 in the Science Mission Directorate) (presskit) (pdf) 

  47. Shen, B.-W.*, W.-K. Tao, R. Atlas, 2007: Simulations of Multiple Tropical Cyclones with a Global Mesoscale Model: A Preliminary Study on the NASA Columbia Supercomputer. "Research Activities in Atmospheric and Oceanic Modeling" (edited by J. Cote), Report 37, CAS/JSC Working Group on Numerical Experimentation (WGNE) WMO/TD-No. 1397, 6.7-6.8. (pdf)

  48. Shen, B.-W*, W.-K. Tao, J.-D. Chern, 2007: Improvements in the Scalability of the NASA Goddard Multiscale Multicomponent Modeling Framework for Hurricane Climate Studies. "Research Activities in Atmospheric and Oceanic Modeling" (edited by J. Cote), Report 37, CAS/JSC Working Group on Numerical Experimentation (WGNE) WMO/TD-No. 1397, 3.17-3.18. (pdf) (pdf1)

  49. Atlas, R., B.-W. Shen, O. Reale, J., W. Putman, J., J.-D. Chern, S.-J. Lin, M. Bosilovich, T. Lee, J. Radakovich, K.-S. Yeh, J. Ardizzone, and D. Bungato, 2004: The NASA finite-volume General Circulation Model: The 2004 hurricane season -- a high-resolution NWP application, The SC2004 High Performance Computing, Networking and Storage Conference, Pittsburgh, Pennsylvania, November 6-12, 2004. (Selected as one of the NASA top four project demonstrations at SC04; the #1 in the Science Mission Directorate)   http://doi.org/10.13140/RG.2.2.15340.49280 

  50. Lin, S. J., Nebuda, S., Shen, B.-W.* , J. D. Chern,  W. Sawyer, and A. DaSilva, 2001: DAO's suggestions to the software design of CAM. (technical note). March 16, 2001.(pdf)

  51. Shen, B.-W.*, 1994: Development of the Meteorological Information Service System at the Air Force Weather Wing Center, Air Force Weather Wing., Taipei, Taiwan (in Chinese), p. 31. (pdf)

Recent Videos 

  1. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, and X, Zeng, 2023: Lorenz’s View on the Predictability Limit. Encyclopedia.pub  https://doi.org/10.13140/RG.2.2.19282.12489  (slides) (video)

  2. Shen, B.-W.*, 2023: A Popular but Inaccurate Analogy for Chaos and Butterfly Effect. A short video (YouTube Video) (Encyclopedia Pub) (Video in Chinese)

  3. Shen, B.-W.*, 2023: Exploring Chaos Theory for Monstability and Multistability. A short video. (YouTube Video) (Encyclopedia Pub) (Video in Chinese)

Responses / Course Materials

  1. Shen, B.- W., 2024: Supplementary Materials: Selected Features of Neural Networks and Transformer Technology.  https://doi.org/10.13140/RG.2.2.17971.03369

  2. Shen, B.- W., 2024: Supplementary Materials for Math340: Revisiting Lorenz’s Error Growth Models. Spring 2024.  https://doi.org/10.13140/RG.2.2.36718.22089 (published as a journal article, listed above)

  3. Shen, B.- W., 2023: Responses (III) to Reviewers' Comments on "A Note on Lorenz’s and Lilly’s Empirical Formulas for Predictability Estimates." Available from ResearchGate: https://doi.org/10.13140/RG.2.2.34334.20809

  4. Shen, B.- W., 2023: Responses (II) to Reviewers' Comments on "A Note on Lorenz’s and Lilly’s Empirical Formulas for Predictability Estimates." Available from ResearchGate: https://doi.org/10.13140/RG.2.2.33511.73120

  5. Shen, B.- W., 2022: Responses (III) to Reviewers' Comments on "The Dual Nature of Chaos and Order in the Atmosphere". Available from ResearchGate: https://doi.org/10.13140/RG.2.2.24619.72483

  6. Shen, B.- W., 2022: Responses (I) to Reviewers' Comments on "The Dual Nature of Chaos and Order in the Atmosphere". Available from ResearchGate: https://doi.org/10.13140/RG.2.2.31330.61126

  7. Shen, B.-W., 2020: Lecture #14 of Math537, Fall 2020: A Review of Chapters 1 and 2. https://doi.org/10.13140/RG.2.2.13101.15842. (Course Materials, Presented on September 30, 2020; Posted at ResearchGate on August 7, 2022)

  8. Shen, B.-W., et al., 2020: Butterfly Effects of the First and Second Kinds: A Review based on Original and Generalized Lorenz Models. https://doi.org/10.13140/RG.2.2.32236.80002

  9. Shen, B.-W., 2019: Responses to Reviewers' Comments on "Butterfly Effects of the First and Second Kinds in Lorenz Models." https://doi.org/10.13140/RG.2.2.32254.66882

  10. Shen, B.-W., 2017: Limit Cycles, Closed Orbits and Poincare-Bendixson Theorem in 2D Systems (course materials for M537) http://dx.doi.org/10.13140/RG.2.2.16138.57285

  11. Shen, B.-W., 2017: Lecture Slides for Linearization Theorems. Course Mater. Math. Available from ResearchGate: http://dx.doi.org/10.13140/RG.2.2.26204.90247

News Articles & Selected Posters (EPO):

  1. Climate Modeling at NASA

  2. NASA High-End Computing (pdf)

Conference Presentations/Technical Reports:

2024
  1. Shen, B.-W., 2024: Using Transformers to Investigate Downscaling in the Generalized Lorenz Model. Course Materials. San Diego State University. 
    https://doi.org/10.13140/RG.2.2.11127.84642
  2. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, and X, Zeng, 2024: On the Two-Week Predictability Limit Hypothesis: A Revisit of Lorenz’s Modeling and Predictability Studies from 1960 to 2008. The 17th Chaos 2024 International Conference. Chania, Crete, Greece. June 11-14, 2024.
  3. Shen, B.-W., 2024: Predictability within Simplified & Generalized Lorenz Models: Scale vs. Detail. Lighting Talk. Department of Mathematics and Statistics. San Diego State University. Feb. 16, 2024. https://doi.org/10.13140/RG.2.2.16512.61446 (post-recorded video)
  4. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, and X, Zeng, 2024: Exploring the Origin of the Two-Week Predictability Limit: A Revisit of Lorenz’s Predictability Studies in the 1960s. GATE 50th Anniversary Celebration III 
    at the 104th AMS Annual Meeting    . Baltimore, MD. Feb. 1, 2024. https://doi.org/10.13140/RG.2.2.27950.69440  (video)
  5. Chen, C.-Y., B.-W. Shen, and C.-Y. Lin, 2024: Predictability of Hurricane Hilary (2023) in 33-day Simulation using the WRF Model. The 104th AMS Annual Meeting. Baltimore, MD. Jan. 30, 2024(abstract)
  6. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, and X, Zeng, 2024: On the Two-Week Predictability Limit Hypothesis: A Revisit of Lorenz’s Modeling and Predictability Studies from 1960 to 2008. Days of Applied NOnlinearity and Complexity (DANOC), January 12-14, 2024.  https://doi.org/10.13140/RG.2.2.31829.60647 
2023

  1. Shen, B.-W.*, 2023: Exploring Chaos, Butterfly Effects, Predictability, and Multistability: A Review of Lorenz Models from 1960 to 2008. The 6th International Electronic Conference on Atmospheric Sciences (ECAS 2023). 19 October 2023. https://doi.org/10.13140/RG.2.2.22836.63367 (flyer) (invited) 

  2. Shen, B.-W.*, 2023: Is the predictability limit of the atmosphere two weeks? Research Center for Environmental Changes, Academia Sinica. April 18, 2023. https://doi.org/10.13140/RG.2.2.18304.92162 (invited)

  3. Shen, B.-W.*, 2023: Attractor Coexistence and Butterfly Effects Within Lorenz Models and a Generalized Lorenz Model. National Taiwan University. April 13, 2023.  https://doi.org/10.13140/RG.2.2.10569.21606 (invited)

  4. Shen, B.-W.*, 2023:  A Kernel Principal Component Analysis of Coexisting Chaotic and Nonchaotic Attractors Within a Generalized Lorenz Model. National Central University. March 21, 2023. https://doi.org/10.13140/RG.2.2.17280.10241 (invited)

  5. Shen, B.-W.*, 2023: Three Kinds of Butterfly Effects Within Lorenz Models. National Taiwan Normal University. March 14, 2023. https://doi.org/10.13140/RG.2.2.22732.69762 (invited)

  6. Shen, B.-W.* 2023: Attractor Coexistence, Butterfly Effects, and Chaos Theory (ABC): A Review of Lorenz Models and a Generalized Lorenz Model. Chaos 2023. June 13-16, 2023. https://doi.org/10.13140/RG.2.2.30961.35685 (plenary) (article)

  7. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J. Cui#, S. Faghih-Naini#,  W. Paxson#, and R. Atlas, 2023: Three Kinds of Butterfly Effects Within Lorenz Models. AMS 2023. https://doi.org/10.13140/RG.2.2.31098.77768  (video)
2022
  1. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, 2022: One Saddle Point and Two Types of Sensitivities Within the Lorenz 1963 and 1969 Models. AOGS 2022. 1-5 August  2022.  https://doi.org/10.13140/RG.2.2.17528.93443  
  2. Paxson, W#. and B.-W. Shen*, 2022: The KdV-SIR Equation and the Non-dissipative Lorenz Model: Analytical Solutions of Solitary Epidemic Waves. AOGS 2022. 1-5 August  2022.  https://doi.org/10.13140/RG.2.2.10722.20165
  3. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, S. Faghih-Naini#, Cui, J.#,  W. Paxson, T.A.L. Reyes#, R. Atlas, and A. Kesarkar, 2022: The Duality of Chaos and Order, Multistability, and Predictability within Lorenz Model. AOGS 2022. 1-5 August  2022. https://doi.org/10.13140/RG.2.2.21457.40805
  4. Paxson, W#. and B.-W. Shen*, 2022:  A KdV-SIR Equation Under a Weak Outbreak: Analytical Solutions of Solitary Epidemic Waves and Homoclinic Orbits. Chaos 2022. June 14-17, 2022.  https://doi.org/10.13140/RG.2.2.31803.90408 
  5. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, 2022: Finite Predictability and Two Types of Sensitivities Within the Lorenz 1963 and 1969 Models. Chaos 2022. June 14-17, 2022. https://doi.org/10.13140/RG.2.2.12091.08483
  6. Shen, B.-W.*, 2022: Coexisting Chaotic and Non-chaotic Attractors, Multistability, Multiscale Instability, and Predictability within Lorenz Models. Institute of Physical and Chemical Research (RIKEN), Tokyo, Japan Feb. 18,  2022. https://doi.org/10.13140/RG.2.2.35120.02562 (invited) (video)
  7. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, 2022: One Saddle Point and Two Types of Sensitivities Within the Lorenz 1963 and 1969 Models. EGU General Assembly 2022. Vienna | Austria, 23–27 May 2022, EGU22-10890, 2022. https://doi.org/10.13140/RG.2.2.30308.86404 (video)

2021

  1. Shen, B.-W.*, 2021: Collaboration with Tao on Multiscale Simulations and Multiscale Modeling. In Celebration of Wei-Kuo Tao’s Retirement. NASA Goddard Space Flight Center 18 December 2021. 10.13140/RG.2.2.31861.09440 (video)

  2. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, S. Faghih-Naini#, J. Cui#, and R. Atlas, 2021: Is Weather Chaotic? Coexisting Attractors and Multistability. 2021 Conference on Weather Analysis and Forecasting. Central Weather Bureau. October 26-28, 202.  Slides: https://doi.org/10.13140/RG.2.2.13244.77440 (invited) (recorded video) 

  3. Shen, B.-W.*, 2021: Is Weather Chaotic? Multistability, Multiscale Instability, and Predictability within Lorenz Models. Oxford University. 11 October 2021. https://doi.org/10.13140/RG.2.2.13991.88485 (recorded video) (invited)

  4. Shen, B.-W.*, 2021: Is Weather Chaotic? Coexisting Attractors and Multistability within a Generalized Lorenz Model. National Central University. August 17, 2021. http://doi.org/10.13140/RG.2.2.14850.81603 (invited) (video)

  5. Shen, B.-W.*, 2021: Is Weather Chaotic? Coexisting Chaotic and Non-Chaotic Attractors and Time-Varying Multistability within a Generalized Lorenz Model. Hurricane Forecast Improvement Program (HFIP). 4 August 2021. http://doi.org/10.13140/RG.2.2.14271.02720 (invited) (video1)

  6. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J.-J. Baik,  S. Faghih-Naini#, J. Cui#, and R. Atlas, 2021: Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model. AOGS.  August 2, 2021. http://doi.org/DOI:%2010.13140/RG.2.2.14991.10407 (AOGS, invited). (paper) (video) 

  7. Shen, B.-W.*, 2021: Two Types of Sensitivities within Lorenz Models.The 14th Chaos International Conference CHAOS 2021. June 8-11, 2021. http://doi.org/10.13140/RG.2.2.32139.41760 (recorded video)

  8. Shen, B.-W.*, 2021: On the Dual Nature of Chaos and Order: Two Types of Sensitivities within Lorenz Models. National Taiwan University. May 18, 2021. http://doi.org/DOI:%2010.13140/RG.2.2.26735.15520. (recorded video) (invited) 

  9. Shen, B.-W.*, 2021: On the Dual Nature of Chaos and Order in Weather and Climate: Understanding and Detecting Coexisting Attractors. NASA Goddard Earth Sciences Data and Information Services Center (GES DISC). May 4, 2021. http://doi.org/10.13140/RG.2.2.24054.73281  (invited) 

  10. Shen, B.-W.*, 2021: Lorenz Models, Butterfly Effect, and Predictability. The University of Arizona.  http://doi.org/10.13140/RG.2.2.28674.30402. March 18, 2021 (invited) (recorded video)

  11. Shen, B.-W.*, 2021: A Kernel Principal Component Analysis of Coexisting Attractors within a Generalized Lorenz Model. BDA 600. San Diego State University. March 4, 2021. http://doi.org/10.13140/RG.2.2.26008.93440 (invited)

2020

  1. Shen, B.-W.*, On the Dual Nature of Chaos and Order in Weather and Climate: New Insights and Opportunities Within a Generalized Lorenz Model. https://doi.org/10.13140/RG.2.2.12468.19843.  Computational Science Research Center. 6 November 2020. (recorded presentation)

  2. Cui, J.# and B.-W. Shen*, 2020: Applying a Kernel PCA Method to Reveal Coexisting Attractors within a Generalized Lorenz Model. Chaotic Modeling & Simulation Web Conference. 22-24 October 2020. http://doi.org/10.13140/RG.2.2.28342.11843. (a plenary talk)

  3. Shen, B.-W.*, 2020: A Lighting Talk entitled "Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model".http://doi.org/10.13140/RG.2.2.27349.86241. 26 June 2020.

  4. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J.-J. Baik, S. Faghih-Naini#, J. Cui#, R.  Atlas, and T.A.L. Reyes#, 2020: Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model. The 13th Chaos International Conference (CHAOS2020). 9-12 June 2020. (virtual conference)  https://doi.org/10.13140/RG.2.2.35867.90404

  5. Shen, B.-W.*, 2020: Homoclinic Orbits and Solitary Waves within the non-dissipative Lorenz Model and KdV Equation. The 13th Chaos International Conference (CHAOS2020). 9-12 June 2020. https://doi.org/10.13140/RG.2.2.34190.18244

  6. Shen, B.-W. 2020: Recent Findings On the Dual Nature of Chaos and Order in Weather and Climate: A Paradigm Shift in Predictability Research. A Research Report in Response to The Request for Information on Earth System Predictability R&D. http://doi.org/10.13140/RG.2.2.31944.75526 (submitted, 14 May 2020). 

  7. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J.-J. Baik, T.A.L. Reyes#, S. Faghih-Naini#, R.  Atlas, and J. Cui#, 2020: Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model.100th AMS meeting. Boston, MA, 12-16 January 2020.  http://doi.org/10.13140/RG.2.2.21811.07204 (slides) (recorded presentation)  (presentation)

  8. Shen, B.-W.*, 2020: On the Predictability of 30-day Global Mesoscale Simulations of Multiple African Easterly Waves during Summer 2006: A View with a Generalized Lorenz Model. 100th AMS meeting. Boston, MA, 12-16 January 2020. (slides)

2019

  1. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, J.-J. Baik, T.A.L. Reyes#, S. Faghih-Naini#, R.  Atlas, and J. Cui#, 2019: Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model. Workshop 2 “Big data, data assimilation, and uncertainty quantification” Institut Henry Poincare, Paris, France, 12-15 November 2019.  Available from ResearchGate http://doi.org/10.13140/RG.2.2.21811.07204 (slides) (recorded talk)  (schedule)

  2. Shen, B.-W.*, 2019: Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model. Presented for Math542. San Diego, 17 October, 2019. Available from Research Gate: http://bit.ly/2Br3yEO

  3. Shen, B.-W.*, 2019: Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model. Research Center for Environmental Changes, Academia Sinica. June 19, 2019. Available from ResearchGate http://doi.org/10.13140/RG.2.2.14720.07681/1

  4. Shen, B.-W.*, 2019: Butterfly Effects and Chaos within a Generalized Lorenz Model: New Insights and Opportunities. NOAA/AOML/HRD (Hurricane Research Division), Feb. 25, 2019. http://doi.org/10.13140/RG.2.2.24721.28000 (presentation)

  5. Shen, B.-W.*, 2019: Butterfly Effects and Chaos: New Insights Revealed by a Generalized Lorenz Model. National Taiwan University. Jan. 3, 2019 (invited) http://doi.org/10.13140/RG.2.2.15765.99040

  6. Shen, B.-W.*, 2019: Butterfly Effects and Chaos: New Insights Revealed by a Generalized Lorenz Model. National Central University. Jan. 4, 2019 (invited) http://doi.org/10.13140/RG.2.2.15765.99040

2018

  1. Reyes, T. and B.-W. Shen*, 2018:  Applying Recurrence Analysis to Illustrate the Co-existence of Chaotic and Non-Chaotic Solutions within a Generalized Lorenz Model. AGU 2018 Fall Meeting. Washington, D.C., December 10-14, 2018. https://dx.doi.org/10.13140/RG.2.2.20197.29925

  2. Cui, J. and B.-W. Shen*, 2018: Hierarchical Scale Dependence and Co-existence of Chaotic and Non-Chaotic Processes within a Generalized Lorenz Model: A Study using Kernel PCA and SVM Methods. AGU 2018 Fall Meeting. Washington, D.C., December 10-14, 2018. https://goo.gl/JDE3Fq

  3. Shen, B.-W.*, S. Cheung, J.-L. F. Li,  T.A.L. Reyes, J. Cui, S. Faghih-Naini: 2018: Reveal the Role of Butterfly Effects and Multiscale Processes in Predictability using Advanced Concurrent Visualization and Multiscale Analysis (PEEMD) Methods. AGU 2018 Fall Meeting. Washington, D.C., December 10-14, 2018. (invited) https://goo.gl/2nG4hg 

  4. Shen, B.-W.*, S. Cheung, J.-L. F. Li,  T.A.L. Reyes, J. Cui, S. Faghih-Naini: On the Predictability of Short-term Climate Simulations of African Easterly Waves within a Global Mesoscale Model: A View with a Generalized Lorenz Model. AGU 2018 Fall Meeting. Washington, D.C., December 10-14, 2018. https://dx.doi.org/10.13140/RG.2.2.15995.36648

  5. Wu, Y.-L. and B.-W. Shen*, 2018:  Exploring the Role of Large-Scale Environmental Flow in Tropical Cyclone Genesis: 10-year Data Analysis using the PEEMD. (Submitted to AOGS, accepted, Feb. 8, 2018)

  6. Shen, B.-W.*, 2018: Understanding the Predictability of Short-term Climate Simulations of African Easterly Waves using a Global Mesoscale Model and Idealized Lorenz Model. (Submitted to AOGS, accepted, Feb. 8, 2018)

  7. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, S. Faghih-Naini#, C.-L. Shie, R. Atlas, J.-J. Baik, and T. A. L. Reyes#, 2018: Butterfly Effects of the First and Second Kinds: New Insights Revealed by High-dimensional Lorenz Models.  The 11th Chaos International Conference (CHAOS2018), Rome, Italy, June 5-8, 2018.

  8. Shen, B.-W.*, T.A.L. Reyes, S. Faghih-Naini, 2018: Coexistence of Chaotic and Non-Chaotic Orbits in a New Nine-Dimensional Lorenz Model The 11th Chaos International Conference (CHAOS2018), Rome, Italy, June 5-8, 2018.

  9. Shen, B.-W.*, 2018: Current Visualization (CV) and Parallel Ensemble Empirical Mode Decomposition (PEEMD) for Big Earth Science Data Analysis. March 2, 2018. (invited) (slides)

  10. Shen, B.-W.*, R. A. Pielke Sr., X. Zeng, I. A. Santos, S. Faghih-Naini, J. Buchmann, C.-L. Shie, and R. Atlas, 2018: Butterfly Effects of the First and Second Kinds in Lorenz Models.  AMS 2018 annual meeting. January 7-11, 2018.  (an article in preparation) (pdf) (slides) 

  11. Faghih-Naini, S. and B.-W. Shen*, 2018:High-dimensional Lorenz Modeling in Python: Chaotic, Limit Cycle and Quasi-Periodic Solutions. AMS 2018 annual meeting. January 7-11, 2018. (pdf) (slides)

2017

  1. Reyes, T., B.-W. Shen*, Y.-L. Wu, Faghih-Naini S., and J.-J. F. Li,  2017: Applying the recurrence quantification analysis method for analyzing the recurrence of multiple African easterly waves in 2006. AGU 2017 Fall meeting, New Orleans, LA, December 11-16, 2017. (pdf)(poster)
  2. Shen, B.-W.*, 2017: Butterfly, Recurrence, and Predictability in Lorenz Models. AGU 2017 Fall meeting, New Orleans, LA, December 11-16, 2017. (slides)(revised pdf)

  3. Shen, B.-W.* and  S. Faghih-Naini, 2017: On recurrent solutions within high-dimensional non-dissipative Lorenz models: the role of the nonlinear feedback loop. The 10th Chaos Modeling and Simulation International Conference (CHAOS2017), Barcelona, Spain, 30 May - 2 June 2017. (slides) (slides) (pdf) (slides)

  4. Faghih-Naini, S. and B.-W. Shen*, 2017: On quasi-periodic solutions associated with the extended nonlinear feedback loop in the five-dimensional non-dissipative Lorenz model. The 10th Chaos Modeling and Simulation International Conference (CHAOS2017), Barcelona, Spain, 30 May - 2 June 2017. (slides) (pdf) (slides)

2016

  1. Shen, B.-W.* et al., 2016: On the extension of the nonlinear feedback loop in a seven-dimensional Lorenz model. The 9th Chaos Modeling and Simulation International Conference (CHAOS2016), Senate House, University of London, 23-26 May 2016. https://doi.org/10.13140/RG.2.2.15437.92645 

  2. Shen, B.-W.*, 2016: Hierarchical scale dependence associated with the extension of the nonlinear feedback loop in high-dimensional Lorenz models. AGU Fall Meeting, San Francisco, CA. December 12-16, 2016. 

  3. Wu, Y., B.-W. Shen*, and S. Cheung: Analyzing the Multiscale Processes in Tropical Cyclone Genesis Associated with African Easterly Waves using the PEEMD. Part I: Downscaling Processes. AGU Fall Meeting, San Francisco, CA. December 12-16, 2016. 

  4. Shen, B.-W.*, 2016: An Introduction to Paraview: High-Dimensional Data Analysis and Visualization. San Diego State University. July 19, 2016. (presented for the SDSU SCC team) (slides available upon request)

  5. Shen, B.-W.*, 2016: An Introduction to Matlab, R, Python, and Julia for 3D surface plots. (a course note for vector calculus). (slides are available upon request)

2015

  1. Shen, B.-W., 2015: Supplement of Nonlinear feedback in a six-dimensional Lorenz model: impact of an additional heating term. (derivations)  (pdf)

  2. Shen, B.-W., 2015: Short-term Climate Simulations of African Easterly Waves with a Global Mesoscale Model. AGU Fall Meeting, San Francisco, CA. December 14-18, 2015. (pdf)

  3. Wu, Y.-L. and B.-W. Shen, 2015: Exploring Multiscale Processes of Tropical Cyclone Genesis Associated with African Easterly Waves Using the PEEMD. December 14-18, 2015.

  4. Shen, B.-W., 2015:  Multiscale Processes of Hurricane Sandy (2012) as Revealed by the Coupled Advanced Global Modeling and Visualization Systems (CAMVis). Taiwan Typhoon and Flood Research Institute of National Applied Research Laboratories. Taipei, Taiwan. November 27, 2015. (invited, pdf).

  5. Shen, B.-W., 2015: Simulations and Visualizations of Hurricane Sandy (2012): Multiscale Processes vs. Butterfly Effect. Manila, Philippines, Nov. 24-25, 2015. (invited, pdf)

  6. Shen, B.-W., 2015: Using Katrina and Sandy Data to Improve Hurricane Prediction Tools. Supercomputing Conference 2015 (SC15). Austin, TX, Nov. 15-20, 2015.  (invited, pdf)

  7. Shen, B.-W., 2015: Short-term Climate Simulations of African Easterly Waves with a Global Mesoscale Model. Japan Geophysical Union Meeting. Makuhari Messe, Chiba, Japan, May 24-28, 2015. (invited, pdf)

  8. Shen, B.-W., 2015: Multiscale Simulations of Tropical Cyclone Formation with an Advanced Global Mesoscale Model. Dean of Sciences’ Conference Room. San Diego State University. May 4, 2015. 

  9. Shen, B.-W., 2015: Lorenz Equations and High-order Lorenz Models. Department of Mathematics, San Diego State University, April 30, 2015. DOI: 10.13140/RG.2.1.3720.8485. (an invited lecture for Math638-Continuous Dynamical Systems and Chaos) (pdf)

  10. Shen, B.-W., 2015: Advanced Supercomputing Technology for Big Data Science. “Big Data Science at SDSU." Templo Room, Conrad Prebys Aztec Student Union, SDSU. March 07, 2015. 

  11. Shen, B.-W., 2015: Short-term Climate Simulations of African Easterly Waves with a Global Mesoscale Model. Workshop on High-Resolution Climate Simulation, Projection, and Application. Academia Sinica, Taipei, Taiwan. January 19‐21, 2015. (invited) (pdf) (slides)

  12. Shen, B.-W., S. Cheung, J.-L. F. Li, and Y.-L. Wu, 2015: Analyzing Tropical Waves Using the Parallel Ensemble Empirical Model Decomposition Method: Preliminary Results from Hurricane Sandy. Research Center for Adaptive Data Analysis, National Central University. Jan. 16, 2015. (invited) (pdf) (slides)

  13. Shen, B.-W., 2015: Global Modeling with NASA Supercomputing Technology: When Sandy Meets Lorenz. National Central University. Jan. 16, 2015. (invited) (pdf) (slides)

  14. Shen, B.-W., 2015: Global Modeling with NASA Supercomputing Technology: When Sandy Meets Lorenz. National Taiwan University. Jan. 15, 2015. (invited) (pdf) (slides)

2014

  1. Wu, Y., B.-W. Shen, S. Cheung, J.-L. Li, Z. Liu, 2014: Resolving Multiscale Processes in Tropical Cyclogenesis Using Parallel EEMD. AGU Fall Meeting, San Francisco, CA. December 15-19, 2014.

  2. Shen, B.-W.,  Global Modeling with NASA Supercomputing Technology: When Sandy Meets Lorenz. Computational Science Research Center. San Diego State University. November 21, 2014. (pdf)

  3. Shen, B.-W., S. Cheung, J.-L. F. Li,  and Y.-L. Wu, 2014: Analyzing Tropical Waves Using the Parallel Ensemble Empirical Model Decomposition Method: Preliminary Results from Hurricane Sandy Earth Science Technology Forum (ESTF), Leesburg, VA, October 28-30 2014. (abstract) (slides)

  4. Shen, B.-W., 2014: Global Hurricane Modeling with NASA Supercomputing Technology: My Journey with Computational Science.Climate Informatics Lab. San Diego State University. October 16, 2014. (pdf)

  5. Shen, B.-W., 2014: Global Weather/Climate Modeling with NASA Supercomputing Technology: Scale or Detail Matters? ``Discovery Slams'', College of Sciences, San Diego State University. October 6, 2014. (pdf)

  6. Shen, B.-W., 2014: Global Weather/Climate Modeling with NASA Supercomputing Technology. Center for Human Dynamics in the Mobile Age. San Diego State University. October 3, 2014. (pdf)

  7. Wu, Y., Shen, B.-W., S. Cheung, and J.-L. F. Li, 2014: Resolving multiscale processes in tropical cyclogenesis using the parallel EEMD. The World  Weather Open Science Conference, 2014, Montreal, Canada. August 16-21, 2014.

  8. Shen, B.-W., M. DeMaria, J.-L. F. Li, and S. Cheung, W.-L., Wu, 2014:Genesis of Hurricane Sandy (2012) Simulated with a Global Mesoscale Model. The World Weather Open Science Conference (WWOSC). Montreal, Canada. August 16-21, 2014.

  9. Shen, B.-W., M. DeMaria, J.-L. F. Li, and S. Cheung, 2014: Genesis of Hurricane Sandy (2012) Simulated with a Global Mesoscale Model.  31st Conferences on Hurricane and Tropical Meteorology. San Diego, CA. March 31-April 4, 2014. (pdf)

  10. Lin, Y.-L., J. Spinks, G. M. Smith, B.-W. Shen, 2014: Fujiwhara Effect on Track Deflection Associated with Hurricane Sandy (2012) Before Landfalling on the US East Coast. 31st Conference on Hurricanes and Tropical Meteorology. San Diego, CA. 31 March–4 April 2014.  

  11. Shen, B.-W., 2014:  Short-term Climate Simulations of African Easterly Waves: A Case Study with a Global Mesoscale Model.The Department of Mathematics and Statistics, San Diego State University, San Diego, CA. March 28, 2014. DOI:10.13140/2.1.5111.9046. (invited talk) (pdf)

  12. Shen, B.-W., 2014: Multiscale Simulations and Visualizations of Hurricane Sandy (2012).  Goddard Earth Sciences Data and Information Services Center (GES DISC). Greenbelt, MD  18  March  2014. (invited talk)

  13. Shen, B.-W., 2014: Genesis of Hurricane Sandy (2012) Simulated with a Global Mesoscale Model. Stony Brook University, Stony Brook, NY. February 26, 2014. (invited talk).

  14. Shen B.-W., M. DeMaria, J.-L. F. Li, and S. Cheung, 2014:  Genesis of Hurricane Sandy (2012) Simulated with a Global Mesoscale Model. 94th AMS Annual Meeting. Atlanta, Georgia. 2-6 February 2014.

2013

  1. Shen, B.-W., J.-L. Li, and S. Cheung, 2013: Multiscale Processes of Hurricane Sandy (2012) as Revealed by the CAMVis-MAP. AGU 2013 Fall Meeting, San Francisco, December 9-13. (pdf)

  2. Cheung, S., B.-W. Shen, P. Mehrotra, J.-L. F. Li, 2013: Parallelization of the Ensemble Empirical Model Decomposition (PEEMD) Method on Multi- and Many-core Processors. AGU 2013 Fall Meeting, San Francisco, December 9-13. (pdf)

  3. Shen, B.-W., 2013: Scale Interactions of Tropical Waves and Tropical Cyclone Formation as Revealed by the NASA CAMVis. National Central University, Chung-Li, Taiwan, June 19, 2013. (pdf)

  4. Shen, B.-W., 2013: How Supercomputers Help Tropical Cyclone Predictions. CHUNG GANG SENIOR HIGH SCHOOL. Taichung City, Taiwan, June 18, 2013.

  5. Shen, B.-W., 2013: Multiscale Interactions and Predictability of Tropical Cyclogenesis: Case Studies with a Global Mesoscale Model. The Research Center for Environmental Changes (RCEC), Academia Sinica, Taipei, Taiwan, June 13, 2013. (pdf) https://doi.org/10.13140/RG.2.2.33419.21283

  6. Shen, B.-W., 2013: Multiscale Interactions and Predictability of Tropical Cyclogenesis: Case Studies with a Global Mesoscale Model. National Central University, Chung-Li, Taiwan, June 11, 2013. (pdf).

  7. Shen, B.-W. et al., 2013: Scale Interactions of Tropical Waves and Tropical Cyclone Formation as Revealed by the NASA CAMVis. 2013 Earth Science Technology Forum (ESTF), Leesburg, VA, June 18-20 2013. (abstract). (meeting canceled).

  8. Shen, B.-W., 2013: Nonlinear Feedback in a Generalized Lorenz Model. AGU 2013 Meeting of the Americas, Cancun, Mexico, 14-17 May 2013. . Abstract #NG52A-03. (abstract).(pdf) (revised slides). https://doi.org/10.13140/RG.2.2.21675.16161

  9. Shen, B.-W., 2013:  A View on the Predictability of Tropical Cyclogenesis with a Global Mesoscale Model. Conference on “Advanced Dynamical Core Modeling for Atmospheric and Oceanic Circulations”, National Atmospheric Research Laboratory (NARL), Gadanki, Chittoor District, Andhra Pradesh, India, 18-23 Feb. 2013. (an invited talk) (abstract) (slides) (mentioned in the local news, the Hindu).

  10. Shen, B.-W., 2013: Scale Interactions of Tropical Waves and Tropical Cyclone Formation as Revealed by NASA Advanced Technologies. Conference on “Advanced Dynamical Core Modeling for Atmospheric and Oceanic Circulations”, National Atmospheric Research Laboratory (NARL), Gadanki, Chittoor District, Andhra Pradesh, India, 18-23 Feb. 2013. (an invited talk) (abstract)

  11. Shen, B.-W., 2013: Genesis of Twin Tropical Cyclones as Revealed by a Global Mesoscale Model: The Role of Mixed Rossby Gravity Wave. Central Weather Bureau, Taipei, Taiwan, Jan. 24, 2013. (an invited talk)(pdf)

2012

  1. Shen, B.-W., Z. Wu, and S. Cheung, 2012: Analysis of Tropical Cyclones and Tropical Waves using the Parallel Ensemble Empirical Model Decomposition (EEMD) Method. AGU 2012 Fall Meeting, San Francisco, December 03-07, 2012. (pdf)

  2. Wu, Z., and B.-W. Shen, 2012: Time-Frequency-Amplitude/Energy Representation of Geophysical Data: A Local Perspective. AGU 2012 Fall Meeting, San Francisco, December 03-07, 2012. (pdf)

  3. Shen, B.-W., 2012: Genesis of Twin Tropical Cyclones as Revealed by a Global Mesoscale Model: The Role of Mixed Rossby Gravity Wave. (invited talk)

  4. Shen, B.-W., B. Nelson, S. Cheung, W.-K. Tao,  and P. Piyush, 2012: Scalability Improvement of the NASA Multiscale Modeling Framework for Tropical Cyclone Climate Study. The Earth Science Technology Forum 2012 (ESTF2012), Orlando, FL, June 26-28, 2012. (abstract submitted; conference canceled). 

  5. Shen, B.-W., 2012: Integration of the NASA CAMVis and Multiscale Analysis Package (CAMVis-MAP) for Tropical Cyclone Climate Study. Mesoscale Atmospheric Processes Laboratory, Greenbelt, MD., March 5, 2012. (pdf)

2011

  1. Shen, B.-W., 2011: Coupling Advanced Modeling and Visualization to Improve High-Impact Tropical Weather Prediction. AGU 2011 Fall Meeting, San Francisco, December 05-09, 2011. (presentation at NASA booth) (pdf).

  2. Shen, B.-W., B. Nelson, W.-K. Tao, 2011:  Analyzing the Multi‐scale Interactions of Tropical Waves and Tropical Cyclone Formation with the NASA CMAVis. AGU 2011 Fall Meeting, San Francisco, December 05-09, 2011. (pdf)

  3. Shen, B.-W., 2011: Predictability of Tropical Cyclone Formation: Butterfly Effect vs. Hierarchical Multiscale Interactions. Central Weather Bureau, Taipei, Taiwan, August 26, 2011.

  4. Shen, B.-W., 2011: Scale Interactions of Tropical Waves and Tropical Cyclone Formation in a Global Mesoscale Model. The 2011 Asia Oceania Geosciences Society (AOGS) Meeting, Taipei, Taiwan, August 8-12, 2011. (pdf)

  5. Shen, B.-W., 2011: Scale Interactions of Tropical Waves and Tropical Cyclone Formation in a Global Mesoscale Model. Sensitivity Experiments with Cumulus Parameterizations. The 2011 Asia Oceania Geosciences Society (AOGS) Meeting, Taipei, Taiwan, August 8-12, 2011.

  6. Shen, B.-W., W.-K. Tao, B. Nelson, 2011: Recent Development of the NASA CAMVis for Tropical Cyclone Studies. The Earth Science Technology Forum 2011 (ESTF2011). Pasadena, CA., June 21-23, 2011. (pdf)

  7. Shen, B.-W., 2011: Scale Interactions of Tropical Waves and Tropical Cyclone Formation in a Global Mesoscale Model. YOTC International Science Symposium and 8th AMY International Workshop. Beijing, China. 16-19 May 2011. (pdf) or (pdf1)

  8. Shen, B.-W., 2011: Forecasts of Tropical Cyclones with the NASA Coupled Advanced multi-scale Modeling and concurrent Visualization Systems (CAMVis). Taiwan Typhoon and Flood Research Institute. March 16, 2011.

  9. Shen, B.-W., 2011: Scale Interactions of Tropical Waves and Tropical Cyclone Formation in a Global Mesoscale Model. National Central University, Chung-Li, Taiwan, March 15, 2011.

  10. Shen, B.-W., 2011: Genesis of Twin Tropical Cyclones Simulated by a Global Mesoscale Model: the Role of Mixed Rossby Gravity Wave. Central Weather Bureau, Taipei, Taiwan, March 14, 2011.

  11. Shen, B.-W., 2011: Numerical Weather Predictions and Supercomputing. National Center for High-Performance Computing (NCHC), Hsin-Chu, Taiwan, March 9, 2011.

  12. Shen, B.-W., 2011: Scale Interactions of Tropical Waves and Tropical Cyclone Formation in a Global Mesoscale Model. National Taiwan University, Taipei, Taiwan, March 7, 2011.

  13. Shen, B.-W., 2011: Recent Advances in Global Hurricane Modeling. Weather Risk at the Grand Hotel, Taipei, Taiwan, February 25, 2011.

 

2010

  1. Shen, B.-W., W.-K. Tao, C. Henze, 2010: Coupling NASA Advanced Multi-Scale Modeling and Concurrent Visualization Systems for Improving Predictions of Tropical High-Impact Weather (CAMVis). AGU 2010 Fall Meeting, San Francisco, December 13-17, 2010.

  2. Shen, B.-W., 2010: Current Status of Project CAMVis. NASA Ames Research Center, Moffett Field, CA, December 17, 2010.

  3. Shen, B.-W., 2010: Recent Advances in Global Hurricane Modeling after Katrina. National Central University, Chung-Li, Taiwan, December 7, 2010.

  4. Shen, B.-W., 2010: Scale interactions of Tropical Waves and Tropical Cyclone Formation. National Taiwan Normal University, Taipei, Taiwan, December 6, 2010.

  5. Shen, B.-W., 2010: African easterly waves in 30-day high-resolution global simulations: A case study during the 2006 NAMMA period. Central Weather Bureau, Taipei, Taiwan, December 6, 2010.

  6. Shen, B.-W., 2010: Recent Advances in Global Hurricane Modeling after Katrina. Supercomputing Conference 2010 (SC10). New Orleans, Louisiana, November 15-18, 2010. (selected as one of the top 4 project demonstrations among aeronautics, exploration, science, and space operations missions at NASA). featured in a NASA News release entitled Supercomputing Conference Highlights NASA Earth, Space Missions. A related story is entitled "Getting to the Heart of the Storm."

  7. Shen, B.-W., 2010: Global Mesoscale Modeling with NASA Supercomputing Technology: Application to High-impact Tropical Weather Forecasts. Shanghai Typhoon Institute, Shanghai, July 1, 2010.

  8. Shen, B.-W., 2010: Global Multiscale Modeling with NASA Supercomputing Technology: Multiscale Simulations of Tropical Cyclogenesis associated with an MJO or AEW. National Central University, Chung-Li, Taiwan, June 24, 2010.

  9. Shen, B.-W., B. Green, W.-K. Tao, C. Henze, S. Cheung, J.-L. F. Li, and P. Mehrotra, 2010: Coupling NASA Advanced Multi-Scale Modeling and Concurrent Visualization Systems for Improving Predictions of Tropical High-Impact Weather (CAMVis). The Earth Science Technology Forum 2010 (ESTF2010). Arlington, Virginia, June 22-24, 2010.

  10. Shen, B.-W., W.-K. Tao, W. K. Lau, J. Chern, J.-L. F. Li, B. Green, R. Atlas, 2010: Global Multiscale Modeling with NASA Supercomputing Technology: Multiscale Simulations of Tropical Cyclogenesis associated with an MJO or AEW. Eos Trans. AGU, 91(26), West. Pac. Geophys. Meet. Suppl., Abstract A21E-04. AGU 2010 Western Pacific Geophysics Meeting, Taipei, Taiwan, June 22-25, 2010.

  11. Li, J.-L. F, D. E. Waliser, J. Chern, B.-W. Shen, W.-T. A. Chen, J. Teixeira, W.-K. Tao, T. L. Kubar, 2010: Cloud Vertical Structure in the simulations with Conventional GCMs and a Multi-scale Modeling Framework GCM, Global Analyses and CloudSat observations. AGU 2010 Western Pacific Geophysics Meeting, Taipei, Taiwan, June 22-25, 2010.

  12. Green, B., C. Henze, B.-W. Shen, 2010: Development of a scalable concurrent visualization approach for high temporal- and spatial-resolution models. Eos Trans. AGU, 91(26), West. Pac. Geophys. Meet. Suppl., Abstract A23B-142. AGU 2010 Western Pacific Geophysics Meeting, Taipei, Taiwan, June 22-25, 2010. Highlighted by NASA Advanced Supercomputing (NAS) Division, NASA Ames Research Center.

  13. Chern, J.-D., W.-K. Tao, B.-W. Shen, T. Matsui, J.-L. F Li, D. E Waliser, 2010: Evaluations of the Global and Regional Energy and Water Cycles in a Multiscale Modeling Framework System. AGU 2010 Western Pacific Geophysics Meeting, Taipei, Taiwan, June 22-25, 2010.

  14. Shen, B.-W., W.-K. Tao, W. K. Lau, R. Atlas, 2009: Predicting Tropical Cyclogenesis with a Global Mesoscale Model: Hierarchical Multiscale Interactions During the Formation of Tropical Cyclone Nargis (2008). AGU 2010 Western Pacific Geophysics Meeting, Taipei, Taiwan, June 22-25, 2010. 

  15. Shen, B.-W., S.-J. Lin, J.-L. Lee, M. Satoh, and R. Atlas, 2010: "High-resolution Global and Regional Modeling and Simulations of High-impact Weather and Climate", AGU 2010 Western Pacific Geophysics Meeting, Taipei, Taiwan, June 22-25, 2010. (session proposal)

  16. Shen, B.-W., W.-K. Tao, B. Green, C. Henze, P. Mehrotra, J.-L. F. Li, 2010: High-impact Tropical Weather Prediction with the NASA Coupled Advanced multi-scale Modeling and concurrent Visualization Systems (CAMVis). The NASA ESTO AIST 2010 Workshop: Decadal Survey Era Capabilities and Technology Roadmap, Cocoa Beach, FL, February 8-11 2010.

  17. Shen, B.-W., and K.-S. Kuo, 2010: Twin Tropical Cyclones associated with Madden-Julian Oscillation in the Indian Ocean, Journal of Earth Science Phenomena, 2010, 13.

  18. Shen, B.-W., 2010: Global Mesoscale Modeling and Supercomputing at NASA: Hierarchical Multiscale Interactions during the Formation of Tropical Cyclone Nargis (2008). National Central University, Chung-Li, January 5, 2010.

2009

  1. Shen, B.-W., 2009: Application of a NASA Global Mesoscale Model to Study Tropical Cyclogenesis associated with an MJO or AEW. National Taiwan Normal University, Taipei, December 22, 2009.

  2. Shen, B.-W. and W.-K. Tao, 2009: Application of a Global Mesoscale Model to Study Hierarchical Multiscale Interactions during the Tropical Cyclogenesis associated with African Easterly Waves in 2006. AGU 2009 Fall Meeting, San Francisco, December 14-18, 2009.

  3. Shen, B.-W., 2009: Extending the Lead Time of Tropical Cyclogenesis Prediction with a Global Mesoscale Model. Supercomputing Conference 2009, Portland, Oregon, November 14-20, 2009. Selected as one of NASA's top project demonstrations at SC09.

  4. Shen, B.-W., 2009: Global Mesoscale Modeling with NASA Supercomputing Technology: Hierarchical Multi-scale Interactions during Tropical Cyclogenesis associated with an MJO or AEW. M Square Office Building of UMCP/ESSIC, November 9, 2009. (invited)

  5. Shen, B.-W., 2009: Global Mesoscale Modeling with NASA Supercomputing Technology: Hierarchical Multi-scale Interactions during Tropical Cyclogenesis associated with an MJO or AEW. NOAA/AOML/HRD (Hurricane Research Division), August 17-21, 2009. (invited)

  6. Shen, B.-W. and W.-K. Tao, 2009: Global Multiscale Modeling on NASA Supercomputers: Extended-Range Simulations of MJOs and AEWs. 7th CMMAP Bi-annual team meeting, Fort Collins, CO, July 27-30, 2009.

  7. Shen, B.-W. and W.-K. Tao, W. K. Lau, R. Atlas, 2009: Hierarchical Multi-scale Interactions during Tropical Cyclone Formation associated with an MJO or AEW. 7th CMMAP Bi-annual team meeting, Fort Collins, CO, July 27-30, 2009. https://doi.org/10.13140/RG.2.2.36453.61927

  8. Chern, J., W.-K. Tao, T. Matsui, and B.-W. Shen, 2009: Evaluating Goddard Multi-scale MOdeling Framework Through the TRMM Triple-Sensor Three-Step Evaluation Framework (T3EF). 7th CMMAP Bi-annual team meeting, Fort Collins, CO, July 27-30, 2009.

  9. Shen, B.-W. and W.-K. Tao, 2009: Global Multiscale Modeling on NASA Supercomputers: Extended-Range Simulations of MJOs and AEWs. The EarthCARE Workshop 2009, Kyoto, Japan, June 10-12, 2009.

  10. Shen, B.-W., 2009: Global Multi-scale Modeling on NASA Supercomputers: Application to Hurricane Forecasts. The first meeting of AIST Project CAMVis. NASA/ARC/NAS, Moffett Field, CA, May 11, 2009.

  11. Shen, B.-W., 2009: Global Mesoscale Modeling on NASA Supercomputers: Preliminary Multi-scale Simulations of Tropical Cyclogenesis associated with a Madden-Julian Oscillation. Central Weather Bureau, Taipei, Taiwan, March 6, 2009.

  12. Shen, B.-W., 2009: Global Mesoscale Modeling on NASA Supercomputers: Preliminary Multi-scale Simulations of Tropical Cyclogenesis associated with a Madden-Julian Oscillation. National Central University, Chung-Li, Taiwan, February 27, 2009.

  13. Shen, B.-W., 2009: Experiences with Global Mesoscale Modeling: Preliminary Multi-scale Simulations of Tropical Cyclogenesis and Madden-Julian Oscillations. A talk presented at the branch meeting (code 613.1), February 5, 2009.

  14. Shen, B.-W., W.-K. Tao, R. Atlas, et al., 2009: Hurricane Forecasts with a Global Mesoscale Model on the NASA Columbia Supercomputer. The 2nd SED (Science and Exploration Directorate) Poster Party Blowout, January 21, 2009, Greenbelt, MD (hosted by the deputy director's council on Science, DDCS). the second place in the most readable poster category among over 150 posters from Earth sciences to astrophysics.

  15. Shen, B.-W., W.-K. Tao, J.-D. Chern, C. D. Peters-Lidard, J.-L. Li, 2009: Extended-Range Predictions of Madden-Julian Oscillations with the Goddard Multi-scale Modeling System. 21st Conference on Climate Variability and Change. The 89th AMS Annual Meeting, Phoenix, Arizona, January 11-16, 2009.

2008

  1. Shen, B.-W., W.-K. Tao, R. Atlas, 2008: Predicting Tropical Cyclogenesis with a Global Mesoscale Model: Preliminary Results with Very Severe Cyclonic Storm Nargis (2008). AGU 2008 Fall Meeting, San Francisco, December 15-19, 2008.

  2. Li, J. F., J Teixeira, D Waliser, C Woods, J Chern, B.-W. Shen, J Bacmeister, A Tompkins, W Tao, M Koehler, 2008: Comparisons of Cloud Structure from Satellite Estimates to ECMWF and GMAO Analyses, 20th Century IPCC AR4 Climate Simulations, and GCM Simulations. AGU 2008 Fall Meeting, San Francisco, December 15-19, 2008.

  3. Shen, B.-W. and W.-K. Tao, 2008: High-Impact Tropical Weather Prediction with the NASA Multi-scale Modeling System. International Conference for High Performance Computing, Networking, Storage and Analysis (SC08). Austin, Texas, November 15-21, 2008. Selected as one of NASA's top three project demonstrations at SC008.

  4. Shen, B.-W. and W.-K. Tao, and R. Atlas, 2008: Hurricane Forecasts with the Global Mesoscale model on NASA Supercomputers. International Conference for High Performance Computing,, Networking, Storage and Analysis (SC08). Austin, Texas, November 15 21, 2008.

  5. Shen, B.-W, 2008: Tropical Cyclogenesis Simulated with a Global Mesoscale Model on NASA Supercomputers: Very Severe Tropical Cyclonic Storm Nargis (2008). National Taiwan University, Taipei, Taiwan, October 16, 2008. (an invited talk)

  6. Shen, B.-W, 2008: Global Mesoscale Modeling, Concurrent Visualizations, and Supercomputing Systems: Application to High-impact Tropical Weather Predictions. National Central University, Chung-Li, Taiwan, October 14, 2008. (an invited talk)

  7. Shen, B.-W, 2008: Global Mesoscale Modeling on the NASA Columbia Supercomputer: Application to Hurricane Forecasts. Central Weather Bureau, Taipei, Taiwan, October 13, 2008. (an invited talk)

  8. Shen, B.-W, 2008: Global Mesoscale Modeling, Concurrent Visualizations, and Supercomputing Systems: Application to Hurricane Forecasts. National Taiwan Normal University, Taipei, October 7, 2008. (an invited talk)

  9. Shen, B.-W. and W.-K. Tao, 2008: Tropical Cyclogenesis Revealed in Global Mesoscale Simulations: Very Severe Cyclonic System Nargis (2008). CMMAP Team Meeting, Fort Collins, Colorado, July 29-31, 2008.

  10. Shen, B.-W., W.-K. Tao, J.-D. Chern, C. D. Peters-Lidard, and J.-L. Li, 2008: Extended-Range Predictions of Madden-Julian Oscillations with the Goddard Multi-scale Modeling System. CMMAP Team Meeting, Fort Collins, Colorado, July 29-31, 2008.

  11. Shen, B.-W., W.-K. Tao, J.-D. Chern, et al., 2008: A study on the Comparisons of Goddard MMF Simulations with SP-CAM and Satellite Data. CMMAP Team Meeting, Fort Collins, Colorado, July 29-31, 2008.

  12. Peters-Lidard, C., W.-K. Tao, J. Santanello, S. Kumar, B.-W. Shen, C. Alonge, J.-D. Chern, 2008: Land-Atmosphere Coupling at Local, Regional and Global Scales. AGU Meeting 2008 Joint Assembly, Fort Lauderdale, FL, May 27-30, 2008.

  13. Shen, B.-W, W.-K. Tao, Roger Shi, et al., 2008: Using a Multiscale Modeling Approach to Simulate and Forecast hurricanes. Hurricane Forecast Improvement Project (HFIP) Workshop, Miami, March 11-12, 2008.

2007

  1. Shen, B.-W., W.-K. Tao, R. Atlas, 2007: Hurricane Modeling and Supercomputing: Can a global mesoscale model be useful in improving forecasts of tropical cyclogenesis? AGU 2007 Fall Meeting, San Francisco, December 10-14, 2007. (pdf)

  2. Shen, B.-W., 2007: Global Mesoscale Modeling on the NASA Columbia Supercomputer: Application to Hurricane Forecasts. ESSIC, University of Maryland, College Park, Maryland. December 3, 2007.

  3. Chern, J.-D., W.-K. Tao, B.-W. Shen et al., 2007: Evaluations and Improvements of Goddard Multi-scale Modeling Framework using high-resolution NASA Satellites. International Workshop on Computational Hydrometeorology and Prof. H. L. Kuo's Memorial Symposium. National Center of High-performance Computing, Hsin-chu, Taiwan, October 15-17, 2007. (pdf)

  4. Shen, B.-W., W.-K. Tao et al., 2007: Global Mesoscale Modeling on the NASA Columbia Supercomputer: Application to Weather and Hurricane Forecasts. International Workshop on Computational Hydrometeorology and Prof. H. L. Kuo's Memorial Symposium. National Center of High-performance Computing, Hsin-chu, Taiwan, October 15-17, 2007. (pdf)

  5. Shen, B.-W., W.-K. Tao, C.-D. Peters-Lidard, J.-D. Chern, R. Atlas, Y.-L. Lin, R. Reale, and K.-S. Kuo, 2007: Global Mesoscale Modeling on the NASA Columbia Supercomputer: Modulation of Tropical Cyclogenesis by the MJO in May 2002. 3rd Annual NEWS PI Meeting, Huntsville, AL, September 19-21, 2007.

  6. Tao, W.-K., J.-D. Chern, C.-D. Peters-Lidard, B.-W. Shen, R. Atlas, S. Lang, J. Luo, G. Stephens, 2007: Evaluation and Improvements of Cloud Model Dynamics and Microphysics in Multi-Scale Modeling System. 3rd Annual NEWS PI Meeting, Huntsville, AL, September 19-21, 2007.

  7. Chern, J.-D., W.-K. Tao, B.-W. Shen, R. Atlas, S. Lang, Z. J. Lu, and G. Stephens, 2007: Evaluation and Improvements of Cloud Model Dynamics and Microphysics in Multi-Scale Modeling System. 3rd Annual NEWS PI Meeting, Huntsville, AL, September 19-21, 2007.

  8. Shen, B.-W., W.-K. Tao, R. Atlas, Y.-L. Lin, R. Reale, J.-D. Chern, C.-D. Peters-Lidard, K.-S. Kuo, 2007: Forecasts of Tropical Cyclogenesis with a Global Mesoscale Model: Modulation of Six Tropical Cyclones by the MJO in May 2002. CMMAP Team Meeting, Fort Collins, Colorado, August 7-9, 2007.

  9. Shen, B.-W., W.-K. Tao, R. Atlas, J.-D. Chern, S.-J. Lin, 2007: Multiscale Simulations of a Mei-Yu Front Accompanied by a Drifting Mesocyclone with a General Mesoscale Model. CMMAP Team Meeting, Kauai, Hawaii, February 20-22, 2007. (pdf)

2004-2006

  1. Shen, B.-W., 2006: Hurricane Research. In the section "Highlights of Laboratory Activities in 2006" of the annual report "Laboratory for Atmospheres 2006 Technical Highlights", NASA/GSFC.

  2. Shen, B.-W., W.-K. Tao, R. Atlas, T. Lee, O. Reale, J.-D. Chern, S.-J. Lin, J. Chang, C. Henze, J.-L. Li, 2006: Hurricane Forecasts with a Global Mesoscale-resolving Model on the NASA Columbia Supercomputer, AGU 2006 Fall Meeting, December 11-16, 2006. (PowerPoint file, 9.3 MB)

  3. Shi, J. J., Tao, W., Ardizzone, J., and Shen, B., 2006: Impact of GEOS-5 Data on Hurricane Forecasts Using WRF. American Geophysical Union, Fall Meeting 2006, abstract #A13E-0987. (abstract)

  4. Chern, J.-D., W.-K. Tao, C. Peters-Lidard, B.-W. Shen, 2006: Use of a Coupled, Global Cloud-Scale and Land Surface Modeling System to Study the Impact of Land Surface Processes on Energy and Water Cycles. 2nd NEWS PI Meeting, College Park, Maryland, September 26-28, 2006.

  5. Shen, B.-W., R. Atlas, O. Oreale, S.-J Lin, J.-D. Chern, J. Chang, C. Henze, 2006: Hurricane Forecasts with a Global Mesoscale-resolving Model on the NASA Columbia Supercomputer Preliminary Simulations of Hurricane Katrina (2005), AGU 2006 Ocean Meeting. January 2006.

  6. Atlas, R., B.-W. Shen, O. Reale, S.-J. Lin, T. Lee, 2005: Application of NASA's high-resolution finite-volume General Circulation Model (fvGCM) to hurricane prediction. 5th International Scientific Conference on the Global Energy and Water Cycle, Costa Mesa, California, June 20-24, 2005.

  7. Shen, B.-W., 2004: Hurricane Forecasting with NASA's high-resolution GCM on NASA's Columbia Supercomputer. International Workshop on Monthly-to-Seasonal Climate Prediction. Taipei, Taiwan. December 13-31, 2004. (meeting agenda) (pdf)

  8. Atlas, R., B.-W. Shen, O. Reale, J., W. Putman, J., J.-D. Chern, S.-J. Lin, M. Bosilovich, T. Lee, J. Radakovich, K.-S. Yeh, J. Ardizzone, and D. Bungato, 2004: The NASA finite-volume General Circulation Model: The 2004 hurricane season -- a high-resolution NWP application, The SC2004 High-Performance Computing, Networking, and Storage Conference, Pittsburgh, Pennsylvania, November 6-12, 2004. Selected as one of NASA's top four project demonstrations at SC04.

1993-2003

  1. Lin, S.-J., B.-W. Shen, W. P. Putman, J.-D. Chern, 2003: Application of the high-resolution finite-volume NASA/NCAR Climate Model for Medium-Range Weather Prediction Experiments. EGS - AGU - EUG Joint Assembly, Nice, France, 6 - 11 April 2003. (Abstract) (link2)

  2. Radakovich, J. D., G. Wang, J.-D. Chern, M. G. Bosilovich, S.-J. Lin, S. Nebuda, and B.-W. Shen, 2003: Implementation of the NCAR Community Land Model (CLM) in the NASA/NCAR finite-volume Global Climate Model (fvGCM). 14th Symposium on Global Change and Climate Variations.

  3. Lin, S.-J., S. Nebuda, B.-W. Shen, J.-D. Chern, W. Sawyer, and A. DaSilva, 2001: DAO's suggestions to the software design of CAM. (informal technical note). March 16, 2001. (available upon request)

  4. Lin, Y.-L. , S. Chiao, T.-A. Wang, B.-W. Shen, G. Lai, and M. L. Kaplan, 2000: Heavy orographic rain induced by a tropical depression over Taiwan. International Conference on MCSs and Heavy Rain in East Asia, 24 26 April 2000, Seoul, Korea.

  5. Lin, Y.-L. , S. Chiao, T.-A. Wang, B.-W. Shen, G. Lai, C.-P. Pu, and C.-W. Lee, 2000: Interaction of a tropical depression with Taiwan topography and its impacts on producing heavy orographic rainfall. Ninth Conference on Mountain Meteorology, 7-11 August 2000, Aspen, Colorado.

  6. Shen, B.-W., and Y.-L. Lin, 1999: Nongeostrophic Baroclinic Instability in a Three-Layer Atmosphere. Its Role on Mesoscale Wave Ducting. Reprints, 8th Conference on Mesoscale Processes, Amer. Meteor. Soc.

  7. Shen, B.- W., and Y.-L. Lin, 1998: Effects of Critical Levels on Two-Dimensional Backsheared Flow over a Mountain Ridge on an f-plane. Part II: Inertia Critical Layer Instability. Reprints, 8th Conference on Mountain Meteorology, Amer. Meteor. Soc., 105-112.

  8. Shen, B.- W., and Y.-L. Lin, 1997: Effects of Critical Levels on Two-Dimensional Backsheared Flow over an Isolated Mountain Ridge on an f-plane. Reprints, 11th Conference on Atmospheric and Oceanic Dynamics, Amer. Meteor. Soc., 199-203.