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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Numerical PDEs for Fluid-Structure Interaction (FSI) Problems
流固耦合 数值 偏微分方程
2023/5/8
The interaction of a flexible structure with a flowing fluid in which it is submersed or by which it is surrounded gives rise to a rich variety of physical phenomena with applications in many fields o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deep adaptive sampling for numerical PDEs
数值 偏微分方程 深度 自适应采样
2023/5/15
Adaptive computation is of great importance in numerical simulations. The ideas for adaptive computations can be dated back to adaptive finite element methods in 1970s. In this talk, we shall first re...
Nonlinear-damping continuation of the nonlinear Schrodinger equation - a numerical study
Nonlinear-damping continuation nonlinear Schrodinger equation Analysis of PDEs
2011/9/13
Abstract: We study the nonlinear-damping continuation of singular solutions of the critical and supercritical NLS. Our simulations suggest that for generic initial conditions that lead to collapse in ...
Numerical Continuation of resonances and bound states in coupled channel Schrödinger equations
Resonances Numerical Continuation Coupled Channels Schr¨odinger equation
2011/1/17
In this contribution, we introduce numerical continuation methods and bifurcation theory, techniques which find their roots in the study of dynamical systems,to the problem of tracing the parameter de...
A general framework for deriving integral preserving numerical methods for PDEs
general framework deriving integral preserving numerical methods PDEs
2010/12/8
A general procedure for constructing conservative numerical integra-tors for time dependent partial di erential equations is presented. In particular, linearly implicit methods preserving a time avera...
The nonlinear singular perturbation problem is solved numerically on nonequidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral e...
期刊信息
篇名
Asymptotic behavior of the numerical solutions for a system of nonlinear integrodifferential reaction-diffusion equations
语种
英文
撰写或编译
作者
王元明
第一作者单位
刊物名称
Applied Numerical Mathematics
页面
39, 20...