A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations
type: Item
instance of: scholarly article
title: A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations
zbMATH Open document ID: 1145.65080
author: Weizhang Huang
author: Jingtang Ma
author: Robert D. Russell
published in: Journal of Computational Physics
publication date: 2008-07-21T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 5303104
zbMATH Keywords: moving mesh
zbMATH Keywords: blowup
zbMATH Keywords: reaction diffusion equations
zbMATH Keywords: mesh adaptation
zbMATH Keywords: dominance of equidistribution
zbMATH Keywords: numerical results
MaRDI profile type: Publication
full work available at URL: j.jcp.2008.03.024
OpenAlex ID: W1978507854
cites work: An adaptive time step procedure for a parabolic problem with blow-up
cites work: Blowup in diffusion equations: A survey
cites work: Final Time Blowup Profiles for Semilinear Parabolic Equations via Center Manifold Theory
cites work: A rescaling algorithm for the numerical calculation of blowing-up solutions
cites work: An adaptive numerical method to handle blow up in a parabolic system
cites work: Computation of self-similar solution profiles for the nonlinear Schrödinger equation
cites work: Precise computations of chemotactic collapse using moving mesh methods
cites work: Moving Mesh Methods for Problems with Blow-Up
cites work: Parabolic Monge–Ampère methods for blow-up problems in several spatial dimensions
cites work: Splines (with optimal knots) are better
cites work: Q4111020
cites work: Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
cites work: A moving collocation method for solving time dependent partial differential equations
cites work: Perturbation methods in applied mathematics
cites work: Blowing up of a finite difference solution to \(u_t=u_{xx}+u^2\)
cites work: Q3878703
cites work: Nonlinear elliptic boundary-value problems in unbounded domains
cites work: An adaptive mesh method with variable relaxation time
DOI: 10.1016/J.JCP.2008.03.024
description: scientific article; zbMATH DE number 5303104