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Accurate solution-a...
Accurate solution-adaptive finite difference schemes for coarse and fine grids
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- Linders, Viktor (författare)
- Lund University,Lunds universitet,Numerisk analys,Forskargrupper vid Lunds universitet,Numerical Analysis,Lund University Research Groups,Technion - Israel Institute of Technology
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- Carpenter, Mark H. (författare)
- NASA Langley Research Center, Hampton, United States
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- Nordström, Jan, 1953- (författare)
- Linköping University,Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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(creator_code:org_t)
- Elsevier, 2020
- 2020
- Engelska.
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Ingår i: Journal of Computational Physics. - : Elsevier. - 0021-9991 .- 1090-2716. ; 410
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Abstract
Ämnesord
Stäng
- We introduce solution dependent finite difference stencils whose coefficients adapt to the current numerical solution by minimizing the truncation error in the least squares sense. The resulting scheme has the resolution capacity of dispersion relation preserving difference stencils in under-resolved domains, together with the high order convergence rate of conventional central difference methods in well resolved regions. Numerical experiments reveal that the new stencils outperform their conventional counterparts on all grid resolutions from very coarse to very fine.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Adaptivity
- Finite differences
- Least squares
- Dispersion relation preserving
- Accuracy
- Convergence
- Accuracy
- Adaptivity
- Convergence
- Dispersion relation preserving
- Finite differences
- Least squares
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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