Convergence of iterative methods for a fourth-order discretization scheme

J. Zhang

doi:10.1016/S0893-9659(97)00010-4

Convergence of iterative methods for a fourth-order discretization scheme

J. Zhang

Computer Science

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We prove, that under certain conditions, some classical iterative methods converge for the linear system resulting from a fourth-order compact discretization of the convection-diffusion equation.

Original language	English
Pages (from-to)	49-55
Number of pages	7
Journal	Applied Mathematics Letters
Volume	10
Issue number	2
DOIs	https://doi.org/10.1016/S0893-9659(97)00010-4
State	Published - Mar 1997

Keywords

Convection-diffusion equation
Fourth-order compact discretization scheme
Iterative methods
Linear systems

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0893-9659(97)00010-4

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title = "Convergence of iterative methods for a fourth-order discretization scheme",

abstract = "We prove, that under certain conditions, some classical iterative methods converge for the linear system resulting from a fourth-order compact discretization of the convection-diffusion equation.",

keywords = "Convection-diffusion equation, Fourth-order compact discretization scheme, Iterative methods, Linear systems",

author = "J. Zhang",

year = "1997",

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N2 - We prove, that under certain conditions, some classical iterative methods converge for the linear system resulting from a fourth-order compact discretization of the convection-diffusion equation.

AB - We prove, that under certain conditions, some classical iterative methods converge for the linear system resulting from a fourth-order compact discretization of the convection-diffusion equation.

KW - Convection-diffusion equation

KW - Fourth-order compact discretization scheme

KW - Iterative methods

KW - Linear systems

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Convergence of iterative methods for a fourth-order discretization scheme

Abstract

Keywords

ASJC Scopus subject areas

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