## Simon, Sai-Mang Pun 潘世猛

Curriculum Vitae: upon request

MathSciNet: Click here

Math Genealogy Project: Click here

Google Scholar: Click here

Curriculum Vitae: upon request

MathSciNet: Click here

Math Genealogy Project: Click here

Google Scholar: Click here

- Young man, in mathematics you don't understand things. You just get used to them.
*- John von Neumann* - What is important is to deeply understand things and their relations to each other. This is where intelligence lies. The fact of being quick or slow isn't really relevant.
*- Laurent Schwartz* - Happy wife, happy life!

- No Teaching in 2021 Summer.

- My current research interests include numerical analysis for partial differential equations with nature of multiple scales or highly-oscillatory heterogeneities.
- Such partial differential equations (Darcy, Stokes, Brinkman, etc) are studied for many applications (such as flows in porous media).
- The main technique (that I mainly used) for solving these problems is generalized multiscale finite element method (GMsFEM).
- There are many others multiscale methods in the community (such as localized orthogonal decomposition, gamblet, variational multisacle methods, heterogeneous multisacle methods, etc).
- Temporal discertization for such partial differential equations could also be studied.
- I am also interested in studying the (energy-driven/goal-oriented) adaptive algorithms for multiscale PDEs.
- As techniques of machine learning are being very mature, these can be utilized when designing computational multiscale methods.
- If there are enough space and time in the margin, I would also like to study high-performance computing in the future.

- E. Chung, S. Pollock and S.-M. Pun.
*Goal-oriented adaptivity of mixed GMsFEM for flows in heterogeneous media.*Computer Methods in Applied Mechanics and Engineering, 323 (2017), pp.151-173. - E. Chung, S.-M. Pun and Z. Zhang.
*An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations.*Journal of Computational and Applied Mathematics, 393 (2019), pp.302-313. - R. Altmann, E. Chung, R. Maier, D. Peterseim and S.-M. Pun.
*Computational multiscale methods for linear heterogeneous poroelasticity.*Journal of Computational Mathematics 38 (1) 2020, 41-57. - E. Chung, S. Pollock and S.-M. Pun.
*Online basis construction for goal-oriented adaptivity in the GMsFEM.*Journal of Computational Physics, 393 (2019), pp.59-73. - S. Fu, R. Altmann, E. Chung, R. Maier, D. Peterseim and S.-M. Pun.
*Computational multiscale methods for linear heterogeneous poroelasticity with high contrast.*Journal of Computational Physics, 395 (2019), pp.286-297. - E. Chung and S.-M. Pun.
*Online adaptive basis enrichment for mixed CEM-GMsFEM.*Multiscale Modeling & Simulation 17 (4) 2019, 1103-1122. - E. Chung and S.-M. Pun.
*Computational multiscale methods for first-order wave equation using CEM-GMsFEM.*Journal of Computational Physics 409, 109359, 2020. - E. Chung, J. Hu, and S.-M. Pun.
*Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains.*Journal of Computational and Applied Mathematics (2021), 113327. - E. Chung, W.-T. Leung, S.-M. Pun, and Z.-C. Zhang.
*A multi-stage deep learning based algorithm for multiscale model reduction.*Journal of Computational and Applied Mathematics (2021), 113506. - B. Chetverushkin, E. Chung, Y. Efendiev, S.-M. Pun, and Z.-C. Zhang.
*Computational multiscale methods for quasi-gas dynamic equations.*Journal of Computational Physics (2021), 110352. - Y. Efendiev, S.-M. Pun, and and P. N. Vabishchevich.
*Temporal splitting algorithms for non-stationary multiscale problems.*Journal of Computational Physics (2021), 110375. - E. Chung, Y. Efendiev, W.-T. Leung, S.-M. Pun, and Z.-C. Zhang.
*Multi-agent Reinforcement Learning Accelerated MCMC on Multiscale Inversion Problem.*arXiv preprint arXiv.2011.08954, 2020. - S. W. Cheung, E. Chung, Y. Efendiev, W.-T. Leung, and S.-M. Pun.
*Iterative Oversampling Technique for Constraint Energy Minimizing Generalized Multiscale Finite Element Method in the Mixed Formulation.*arXiv preprint arXiv.2012.01817, 2020. - S.-M. Pun and S. W. Cheung.
*Online Adaptive Algorithm for Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method.*arXiv preprint arXiv.2103.02677, 2021. - E. Chung, Y. Efendiev, S.-M. Pun, and Z.-C. Zhang.
*Computational multiscale methods for parabolic wave approximations in heterogeneous media.*arXiv preprint arXiv.2104.02283, 2021.

- At TAMU:
- At CUHK:

2021 Spring: | Course Instructor, MATH308-525/528 Differential Equations (online). |

Course Instructor, MATH417-502 Numerical Methods (online). | |

2020 Fall: | Course Instructor, MATH251-520 Engineering Mathematics III (online). |

2020 Spring: | Course Instructor, MATH417-503/504 Numerical Methods. |

2019 Fall: | Course Instructor, MATH251-504 Engineering Mathematics III. |

2019 Spring: | Teaching assistant, MATH2221 Mathematics Laboratory II. |

2018 Fall: | Teaching assistant, MATH3290 Mathematical Modeling. |

MATLAB review guide; | |

Additional example for Chapter 5. | |

2018 Spring: | Teaching assistant, MATH2221 Mathematics Laboratory II. |

2017 Fall: | Teaching assistant, MATH3290 Mathematical Modeling. |

2017 Spring: | Teaching assistant, MATH2230 Complex Variables and applications. |

2016 Fall: | Teaching assistant, MATH3290 Mathematical Modeling. |

2015 Fall: | Teaching assistant, MATH3290 Mathematical Modeling; |

Teaching assistant, MATH2230 Complex Variables and applications. |