A reliable error estimation for diagonally implicit multistage integration methods

J. C. Butcher, Zdzislaw Jackiewicz

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

A new approach to the estimation of the local discretization error for diagonally implicit multistage integration methods (DIMSIMs) is described. The error estimates that are obtained are very accurate and very reliable for both explicit and implicit methods for any stepsize pattern.

Original languageEnglish (US)
Pages (from-to)656-665
Number of pages10
JournalBIT Numerical Mathematics
Volume41
Issue number4
StatePublished - Dec 2001

Fingerprint

Discretization Error
Explicit Methods
Implicit Method
Error Estimation
Error analysis
Error Estimates

Keywords

  • DIMSIM methods
  • Local error estimation
  • Nordsieck representation

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software
  • Applied Mathematics
  • Computational Mathematics

Cite this

A reliable error estimation for diagonally implicit multistage integration methods. / Butcher, J. C.; Jackiewicz, Zdzislaw.

In: BIT Numerical Mathematics, Vol. 41, No. 4, 12.2001, p. 656-665.

Research output: Contribution to journalArticle

@article{da04edacbc5049eca91c743fda80175c,
title = "A reliable error estimation for diagonally implicit multistage integration methods",
abstract = "A new approach to the estimation of the local discretization error for diagonally implicit multistage integration methods (DIMSIMs) is described. The error estimates that are obtained are very accurate and very reliable for both explicit and implicit methods for any stepsize pattern.",
keywords = "DIMSIM methods, Local error estimation, Nordsieck representation",
author = "Butcher, {J. C.} and Zdzislaw Jackiewicz",
year = "2001",
month = "12",
language = "English (US)",
volume = "41",
pages = "656--665",
journal = "BIT Numerical Mathematics",
issn = "0006-3835",
publisher = "Springer Netherlands",
number = "4",

}

TY - JOUR

T1 - A reliable error estimation for diagonally implicit multistage integration methods

AU - Butcher, J. C.

AU - Jackiewicz, Zdzislaw

PY - 2001/12

Y1 - 2001/12

N2 - A new approach to the estimation of the local discretization error for diagonally implicit multistage integration methods (DIMSIMs) is described. The error estimates that are obtained are very accurate and very reliable for both explicit and implicit methods for any stepsize pattern.

AB - A new approach to the estimation of the local discretization error for diagonally implicit multistage integration methods (DIMSIMs) is described. The error estimates that are obtained are very accurate and very reliable for both explicit and implicit methods for any stepsize pattern.

KW - DIMSIM methods

KW - Local error estimation

KW - Nordsieck representation

UR - http://www.scopus.com/inward/record.url?scp=0042318570&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042318570&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0042318570

VL - 41

SP - 656

EP - 665

JO - BIT Numerical Mathematics

JF - BIT Numerical Mathematics

SN - 0006-3835

IS - 4

ER -