Local error control in SDIRK-methods
type: Item
instance of: scholarly article
title: Local error control in SDIRK-methods
zbMATH Open document ID: 0627.65082
DOI: 10.1007/BF01939366
author: Syvert P. Nørsett
author: Per Grove Thomsen
published in: BIT
publication date: 1986-01-01T00:00:00Z
review text: From authors' summary: This paper describes some problems that are encountered in the implementation of a class of singly diagonally implicit Runge-Kutta (SDIRK) methods. The contribution to the local error from the local truncation error and the residual error from the algebraic systems involved are analyzed. A strategy for computing a starting stepsize is presented. The techniques are applied to numerical examples.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4020370
zbMATH Keywords: local error control
zbMATH Keywords: prediction stage
zbMATH Keywords: variable stepsize
zbMATH Keywords: singly diagonally implicit Runge-Kutta methods
zbMATH Keywords: local truncation error
zbMATH Keywords: residual error
zbMATH Keywords: numerical examples
describes a project that uses: SPARSKS
MaRDI profile type: Publication
cites work: An implementation of singly-implicit Runge-Kutta methods
cites work: Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output
cites work: Displacement or Residual Test in the Application of Implicit Methods for Stiff Problems
cites work: Embedded SDIRK-methods of basic order three
cites work: Perturbed collocation and Runge-Kutta methods
cites work: Implementation of Implicit Formulas for the Solution of ODE<scp>s</scp>
cites work: Evaluation of implicit formulas for the solution of ODEs
full work available at URL: https://doi.org/10.1007/bf01939366
OpenAlex ID: W1981084826
description: scientific article; zbMATH DE number 4020370