On Long Time Error Bounds for the Wave Equation on Second Order Form

Jan Nordström; Hannes Frenander

doi:10.1007/s10915-018-0667-0

On Long Time Error Bounds for the Wave Equation on Second Order Form

Jan Nordström, Hannes Frenander

Linköping University

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

8 Citations (Scopus)

Abstract

Temporal error bounds for the wave equation expressed on second order form are investigated. We show that, with appropriate choices of boundary conditions, the time and space derivatives of the error are bounded even for long times. No long time bound on the error itself is obtained, although numerical experiments indicate that a bound exists.

Original language	English
Pages (from-to)	1327-1336
Number of pages	10
Journal	Journal of Scientific Computing
Volume	76
Issue number	3
DOIs	https://doi.org/10.1007/s10915-018-0667-0
Publication status	Published - 1 Sept 2018
Externally published	Yes

Keywords

Error bounds
Finite differences
Long times
Second order form
Simultaneous approximation terms
Summation-by-parts
Wave equation

ASJC Scopus subject areas

Software
Theoretical Computer Science
Numerical Analysis
General Engineering
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

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10.1007/s10915-018-0667-0

Cite this

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KW - Simultaneous approximation terms

KW - Summation-by-parts

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On Long Time Error Bounds for the Wave Equation on Second Order Form

Abstract

Keywords

ASJC Scopus subject areas

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