An incomplete assembly with thresholding algorithm for systems of reaction--diffusion equations in three space dimensions IAT for reaction--diffusion systems
type: Item
instance of: scholarly article
title: An incomplete assembly with thresholding algorithm for systems of reaction--diffusion equations in three space dimensions IAT for reaction--diffusion systems
zbMATH Open document ID: 1024.65086
DOI: 10.1016/S0021-9991(03)00205-5
author: Peter K. Moore
published in: Journal of Computational Physics
publication date: 2003-08-17T00:00:00Z
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 1965158
zbMATH Keywords: numerical examples
zbMATH Keywords: systems of reaction-diffusion equations
zbMATH Keywords: incomplete assembly
zbMATH Keywords: incomplete factorization
zbMATH Keywords: algorithm
zbMATH Keywords: finite element
zbMATH Keywords: method-of-lines
zbMATH Keywords: performance
zbMATH Keywords: temporal integrator DASPK
zbMATH Keywords: algebraic solver GMRES
zbMATH Keywords: preconditioner ILUT
describes a project that uses: RODAS
describes a project that uses: ILUT
MaRDI profile type: Publication
cites work: Implicit-explicit multistep finite element methods for nonlinear parabolic problems
cites work: Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
cites work: Q3993493
cites work: Matrix-Free Methods for Stiff Systems of ODE’s
cites work: Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems
cites work: Q3347420
cites work: An alternating direction scheme on a nonuniform mesh for reaction-diffusion parabolic problems
cites work: A second-order ADI scheme for three-dimensional parabolic differential equations
cites work: Edge of Chaos and Local Activity Domain of FitzHugh-Nagumo Equation
cites work: Comparing numerical methods for stiff systems of O.D.E:s
cites work: Estimating the error of numerical solutions of systems of reaction-diffusion equations
cites work: QMR: A quasi-minimal residual method for non-Hermitian linear systems
cites work: Q3779682
cites work: Splitting methods
cites work: A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method
cites work: An Adaptive Finite Element Method for Parabolic Differential Systems: Some Algorithmic Considerations in Solving in Three Space Dimensions
cites work: Implicit-explicit methods for reaction-diffusion problems in pattern formation
cites work: ILUT: A dual threshold incomplete LU factorization
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Parallel iterative methods for sparse linear systems
cites work: Q4000182
cites work: Q4360234
cites work: Q3698210
full work available at URL: s0021-9991(03)00205-5
OpenAlex ID: W2066700403
description: scientific article; zbMATH DE number 1965158