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Long time error bou...
Long time error bounds for the wave equation on second order form
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- Nordström, Jan (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Frenander, Hannes (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Linköping : Linköping University Electronic Press, 2017
- Engelska 12 s.
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Serie: LiTH-MAT-R, 0348-2960 ; 2017:1
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Abstract
Ämnesord
Stäng
- Temporal error bounds for the wave equation expressed on second order form is investigated. By using the energy method, we show that, with appropriate choices of boundary condition, the time and space derivative of the error is bounded even for long times. No long time bound on the actual error can be obtained, although numerical experiments indicate that such a bound exist.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Error bounds
- second order form
- summation-by-parts
- finite differences
- simultaneous approximation terms
- wave equation
Publikations- och innehållstyp
- vet (ämneskategori)
- rap (ämneskategori)