Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems
type: Item
instance of: scholarly article
title: Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems
zbMATH Open document ID: 1020.65057
DOI: 10.1016/S0168-9274(02)00110-1
author: I. Alonso-Mallo
author: César Palencia
published in: Applied Numerical Mathematics
publication date: 2003-03-10T00:00:00Z
review text: The authors use a Runge-Kutta method to discretize an initial-boundary value problem in a Banach space, and provide optimal error estimates. They give examples of its application and present numerical experiments.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K90
zbMATH DE Number: 1879020
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: optimal order
zbMATH Keywords: fractional orders
zbMATH Keywords: partial differential equations
zbMATH Keywords: initial boundary value problems
zbMATH Keywords: semigroups
zbMATH Keywords: Banach spaces
zbMATH Keywords: numerical experiments
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
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full work available at URL: s0168-9274(02)00110-1
OpenAlex ID: W1965251554
description: scientific article; zbMATH DE number 1879020