Fourth Order Chebyshev Methods with Recurrence Relation

Abdulle, Assyr

doi:10.1137/s1064827500379549

Scientific article

English

Fourth Order Chebyshev Methods with Recurrence Relation

Contributors

Abdulle, Assyr

Published in

SIAM journal on scientific computing, vol. 23, no. 6, p. 2041-2054

Publication date

2002

Abstract

In this paper, a new family of fourth order Chebyshev methods (also called stabilized methods) is constructed. These methods possess nearly optimal stability regions along the negative real axis and a three-term recurrence relation. The stability properties and the high order make them suitable for large stiff problems, often space discretization of parabolic PDEs. A new code ROCK4 is proposed, illustrated at several examples, and compared to existing programs.

Keywords

Stiff ordinary differential equations
Explicit Runge–Kutta methods
Orthogonal polynomials
Parabolic partial differential equations

UNIGE affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ABDULLE, Assyr. Fourth Order Chebyshev Methods with Recurrence Relation. In: SIAM journal on scientific computing, 2002, vol. 23, n° 6, p. 2041–2054. doi: 10.1137/s1064827500379549

Article (Published version)

Identifiers

PID : unige:12366
DOI : 10.1137/s1064827500379549

Journal ISSN

1064-8275

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28/10/2010 14:23:00

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29/10/2024 17:21:44

Fourth Order Chebyshev Methods with Recurrence Relation

Contributors

Published in

Publication date

Abstract

Keywords

UNIGE affiliation entities

Citation (ISO format)

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Technical informations

Creation

First validation

Update

Status update

Last indexation