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On Error Bounds of Finite Difference Approximations to Partial Differential Equations—Temporal Behavior and Rate of Convergence

On Error Bounds of Finite Difference Approximations to Partial Differential Equations—Temporal... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Scientific Computing Springer Journals

On Error Bounds of Finite Difference Approximations to Partial Differential Equations—Temporal Behavior and Rate of Convergence

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References (23)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Plenum Publishing Corporation
Subject
Mathematics; Algorithms; Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Theoretical, Mathematical and Computational Physics
ISSN
0885-7474
eISSN
1573-7691
DOI
10.1023/A:1007688522777
Publisher site
See Article on Publisher Site

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.

Journal

Journal of Scientific ComputingSpringer Journals

Published: Oct 16, 2004

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