Improved accuracy of linear multistep methods

Research output: Contribution to journalArticle

Abstract

We present a technique for improving the accuracy of a given multistep method. We first propose a new formulation of the θ-method providing a general framework for studying stability and allowing to select the appropriate values of the parameter θ that increase the order of accuracy. The idea is followed through to generate optimal linear multistep methods.

Original languageEnglish
Pages (from-to)491-496
Number of pages6
JournalApplied Mathematics and Information Sciences
Volume7
Issue number2
Publication statusPublished - Mar 2013

Fingerprint

Linear multistep Methods
Multistep Methods
Formulation
Framework

Keywords

  • θ-method
  • Absolute stability
  • Linear multistep methods
  • Optimal method

ASJC Scopus subject areas

  • Applied Mathematics
  • Numerical Analysis
  • Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics

Cite this

Improved accuracy of linear multistep methods. / Karaa, Samir.

In: Applied Mathematics and Information Sciences, Vol. 7, No. 2, 03.2013, p. 491-496.

Research output: Contribution to journalArticle

@article{be13fc13bd9d46a78fe2f4d3b2dd92ed,
title = "Improved accuracy of linear multistep methods",
abstract = "We present a technique for improving the accuracy of a given multistep method. We first propose a new formulation of the θ-method providing a general framework for studying stability and allowing to select the appropriate values of the parameter θ that increase the order of accuracy. The idea is followed through to generate optimal linear multistep methods.",
keywords = "θ-method, Absolute stability, Linear multistep methods, Optimal method",
author = "Samir Karaa",
year = "2013",
month = "3",
language = "English",
volume = "7",
pages = "491--496",
journal = "Applied Mathematics and Information Sciences",
issn = "1935-0090",
publisher = "Natural Sciences Publishing Corporation",
number = "2",

}

TY - JOUR

T1 - Improved accuracy of linear multistep methods

AU - Karaa, Samir

PY - 2013/3

Y1 - 2013/3

N2 - We present a technique for improving the accuracy of a given multistep method. We first propose a new formulation of the θ-method providing a general framework for studying stability and allowing to select the appropriate values of the parameter θ that increase the order of accuracy. The idea is followed through to generate optimal linear multistep methods.

AB - We present a technique for improving the accuracy of a given multistep method. We first propose a new formulation of the θ-method providing a general framework for studying stability and allowing to select the appropriate values of the parameter θ that increase the order of accuracy. The idea is followed through to generate optimal linear multistep methods.

KW - θ-method

KW - Absolute stability

KW - Linear multistep methods

KW - Optimal method

UR - http://www.scopus.com/inward/record.url?scp=84873462536&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873462536&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84873462536

VL - 7

SP - 491

EP - 496

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

SN - 1935-0090

IS - 2

ER -