Starting algorithms for some DIRK methods
type: Item
instance of: scholarly article
title: Starting algorithms for some DIRK methods
zbMATH Open document ID: 0957.65071
DOI: 10.1023/A:1019112419829
author: Inmaculada Higueras
author: Teo Roldán
published in: Numerical Algorithms
publication date: 2000-11-22T00:00:00Z
review text: For implicit Runge-Kutta methods, a nonlinear system must be solved at each step. Usually a such system is solved by means of an iterative scheme and, to start the iterations, some accurate initial values are required. A initializer for some diagonally implicit Runge-Kutta (DIRK) and singly DIRK methods is constructed and the numerical experiments show that its use gives good results. The proposed initializer is also compared with others used in the literature.
reviewed by: Dana Petcu
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1534756
zbMATH Keywords: starting algorithms
zbMATH Keywords: implicit Runge-Kutta methods
zbMATH Keywords: initial value problem
zbMATH Keywords: comparison of methods
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: a:1019112419829
OpenAlex ID: W1635150914
description: scientific article; zbMATH DE number 1534756