Simon, Sai-Mang Pun
Curriculum Vitae: upon request
MathSciNet: Click here
Math Genealogy Project: Click here
Google Scholar: Click here
Linkedin: Click here
Left: Me; Right: Gilbert Strang; At SIAM AN18, Portland OR
Curriculum Vitae: upon request
MathSciNet: Click here
Math Genealogy Project: Click here
Google Scholar: Click here
Linkedin: Click here
 
 
 
 
 
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.2022 Spring: | Course Instructor, MATH304-511 Linear Algebra. |
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 Simulation. | |
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. |