AIMS Home

Recent Development in Advanced Numerical Methods for Partial Differential Equations

Organizer(s):
Name:	Affiliation:	Country:
Yanping Chen	Nanjing University of Posts and Telecommunications, CHINA	Peoples Rep of China
Jian Huang	Xiangtan University, CHINA	Peoples Rep of China
Liwei Xu	University of Electronic Science and Technology of China, CHINA	Peoples Rep of China

Introduction:

The aim of this special session is to offer a platform for experts, researchers, and scholars to present and discuss the latest innovations and breakthroughs in the field of numerical methods for PDEs, exchange ideas, share their recent research findings, and foster collaborations and connections. Topics to be addressed include, but are not limited to: adaptive methods, high-order numerical methods, parallel and distributed Computing, multiscale and multiphysics problems, uncertainty quantification, applications in various fields, and the integration of machine learning with PDE solvers.

All Abstracts

List of abstracts and speakers
Name	Affiliation	Title
Wei Guo	Hebei Normal University	Shearlet Scattering Transform and Its Applications
Jian Huang	Xiangtan University, CHINA	Characteristic block-centered finite difference methods for Darcy-Forchheimer compressible miscible displacement problem
Meng Li	Zhengzhou University	Parametric finite element methods for anisotropic axisymmetric flows
Hui Liang	Harbin Institute of Technology, Shenzhen	A general collocation analysis for weakly singular Volterra integral equations with variable exponent
Chaoyu Quan	The Chinese University of Hong Kong (Shenzhen)	Maximum bound principle and original energy dissipation of arbitrarily high-order rescaled exponential time differencing Runge--Kutta schemes for Allen--Cahn equations
Yin Yang	Xiangtan University	Multiscale Model Reduction for Heterogeneous Perforated Domains based on CEM-GMsFEM
Xiaobo Yin	Central China Normal University	Error estimates of finite element methods for nonlocal problems with exact or approximated interaction neighborhoods
Wenjun Ying	Shanghai Jiao Tong University	An Alternating Direction Implicit Method for Mean Curvature Flows
Zhen Zhang	Southern University of Science and Technology	An operator/direction splitting approach to a class of dissipative systems
Xiangcheng Zheng	Shandong University	Addressing complex boundary conditions of miscible flow and transport with application to optimal control