Special Session 126: Machine Learning and New Framework for Solving Partial Differential Equations
Organizer(s): Jingrun Chen , Haijun Yu , Shuo Zhang

Parallel Session 14 :: Thursday, 12/19, 13:00-15:00                  Capital Suite 3
13:00-13:30	Maria K Cameron (University of Maryland, College Park, USA)  Learning coarse-grained models and quantifying transitions between metastable states in molecules and clusters of interacting particles

13:30-14:00

Wei Gong (Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Peoples Rep of China)  A novel shape optimization approach for source identification in elliptic equations

14:00-14:30

Xia Ji (Beijing institute of technology, Peoples Rep of China)  A new method using C0IPG for the biharmonic eigenvalue problem

14:30-15:00

Nitu Kumari (Indian Institute of Technology Mandi, India)  Solving Reaction Diffusion Equation Using Transformer-based Koopman Autoencoder

Parallel Session 15 :: Thursday, 12/19, 15:15-17:15                Capital Suite 3
15:15-15:45	Tiexiang Li (Southeast University, Peoples Rep of China)  Ball Mass-preserving Parameterizations with Applications on Brain Tumor Segmentations

15:45-16:15

Yuwen Li (Zhejiang University, Peoples Rep of China)  Reduced Krylov Basis Methods

16:15-16:45

Haiyan Su (Xinjiang University, Peoples Rep of China)  Dual-robust iterative analysis of divergence-conforming IPDG FEM for thermally coupled inductionless MHD system

16:45-17:15

Haijun Yu (Academy of Mathematics and Systems Science, Chinese Academy of Science, Peoples Rep of China)  Deep Neural Networks with Rectified Power Units: Efficient Training and Applications in Partial Differential Equations

Parallel Session 16 :: Thursday, 12/19, 17:30-19:30                 Capital Suite 3
17:30-18:00	Chensong Zhang (Academy of Mathematics and Systems Science, Peoples Rep of China)  A deep learning enabled massive parallel simulator for porous media flow

18:00-18:30

Xiang ZHOU (City University of Hong Kong, Hong Kong)  Weak Generative Sampler to Solve High - Dimensional PDEs for Stochastic Models: Efficiency and Adaptivity

18:30-19:00

Shuo Zhang (Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Peoples Rep of China)  Complex dualities and new solution frameworks

19:00-19:30

Chunmei Su (Tsinghua University, Peoples Rep of China)  Structure-preserving parametric finite element methods for curve diffusion