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The convergence rat...
The convergence rate of finite difference schemes in the presence of shocks
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- Engquist, Björn (author)
- KTH,Numerisk analys, NA
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Sjögreen, B (author)
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(creator_code:org_t)
- 1998
- 1998
- English.
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In: SIAM Journal on Numerical Analysis. - 0036-1429 .- 1095-7170. ; 35:6, s. 2464-2485
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
Close
- : Finite difference approximations generically have O(1) pointwise errors close to a shock. We show that this local error may effect the smooth part of the solution such that only first order is achieved even for formally higher-order methods. Analytic and numerical examples of this form of accuracy are given. We also show that a converging method will have the formal order of accuracy in domains where no characteristics have passed through a shock.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Keyword
- finite difference approximation; shock wave; hyperbolic system
Publication and Content Type
- ref (subject category)
- art (subject category)
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