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

Jan Nordström, Hannes Frenander

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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 languageEnglish
Pages (from-to)1327-1336
Number of pages10
JournalJournal of Scientific Computing
Issue number3
Publication statusPublished - 1 Sept 2018
Externally publishedYes


  • 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


Dive into the research topics of 'On Long Time Error Bounds for the Wave Equation on Second Order Form'. Together they form a unique fingerprint.

Cite this