Implementation of DIMSIMs for stiff differential systems
type: Item
instance of: scholarly article
title: Implementation of DIMSIMs for stiff differential systems
zbMATH Open document ID: 1001.65082
DOI: 10.1016/S0168-9274(01)00154-4
author: Zdzislaw Jackiewicz
published in: Applied Numerical Mathematics
publication date: 2002-08-22T00:00:00Z
review text: The author describes a variable-step variable-order experimental code for the numerical solution of stiff differential systems. The code is based on A-stable diagonally implicit multistage integration methods of order 1, 2 and 3. Special issue are discussed: reliable estimation of the local discretization error, construction of continuous interpolants, choice of initial stepsize and order. The numerical experiments indicate that the new code outperforms the Matlab code for stiff ordinary differential equations (ODEs) on systems whose Jacobian has eigenvalues which are close to the imaginary axis.
reviewed by: Dana Petcu
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 1787735
zbMATH Keywords: stiff systems
zbMATH Keywords: diagonally implicit multistage integration methods
zbMATH Keywords: variable stepsize
zbMATH Keywords: error estimators
zbMATH Keywords: \(A\)-stability
zbMATH Keywords: variable order
zbMATH Keywords: numerical experiments
describes a project that uses: Matlab
describes a project that uses: DIMSIM
describes a project that uses: Ode15s
describes a project that uses: ode113
describes a project that uses: MATLAB ODE suite
describes a project that uses: RODAS
describes a project that uses: ode23
describes a project that uses: ode45
describes a project that uses: ode23s
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787735