On error bounds of finite difference approximations to partial differential equations - Temporal behavior and rate of convergence

S. Abarbanel; A. Ditkowski; B. Gustafsson

doi:10.1023/a:1007688522777

On error bounds of finite difference approximations to partial differential equations - Temporal behavior and rate of convergence

S. Abarbanel, A. Ditkowski, B. Gustafsson

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

38 Scopus citations

Abstract

This paper considers a family of spatially semi-discrete approximations, including boundary treatments, to hyperbolic and parabolic equations. We derive the dependence of the error-bounds on time as well as on mesh size.

Original language	English
Pages (from-to)	79-116
Number of pages	38
Journal	Journal of Scientific Computing
Volume	15
Issue number	1
DOIs	https://doi.org/10.1023/a:1007688522777
State	Published - Mar 2000
Externally published	Yes

Keywords

Error bounds
Finite difference

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10.1023/a:1007688522777

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abstract = "This paper considers a family of spatially semi-discrete approximations, including boundary treatments, to hyperbolic and parabolic equations. We derive the dependence of the error-bounds on time as well as on mesh size.",

keywords = "Error bounds, Finite difference",

author = "S. Abarbanel and A. Ditkowski and B. Gustafsson",

year = "2000",

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On error bounds of finite difference approximations to partial differential equations - Temporal behavior and rate of convergence

Abstract

Keywords

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