Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952637887> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2952637887 abstract "We introduce and analyze a spectral vanishing viscosity approximation of periodic fractional conservation laws. The fractional part of these equations can be a fractional Laplacian or other non-local operators that are generators of pure jump L'{e}vy processes. To accommodate for shock solutions, we first extend to the periodic setting the Kruv{z}kov-Alibaud entropy formulation and prove well-posedness. Then we introduce the numerical method, which is a non-linear Fourier Galerkin method with an additional spectral viscosity term. This type of approximation was first introduced by Tadmor for pure conservation laws. We prove that this {em non-monotone} method converges to the entropy solution of the problem, that it retains the spectral accuracy of the Fourier method, and that it diagonalizes the fractional term reducing dramatically the computational cost induced by this term. We also derive a robust $L^1$-error estimate, and provide numerical experiments for the fractional Burgers' equation." @default.
- W2952637887 created "2019-06-27" @default.
- W2952637887 creator A5001747558 @default.
- W2952637887 creator A5025746918 @default.
- W2952637887 date "2010-11-15" @default.
- W2952637887 modified "2023-09-27" @default.
- W2952637887 title "On the spectral vanishing viscosity method for periodic fractional conservation laws" @default.
- W2952637887 hasPublicationYear "2010" @default.
- W2952637887 type Work @default.
- W2952637887 sameAs 2952637887 @default.
- W2952637887 citedByCount "1" @default.
- W2952637887 countsByYear W29526378872013 @default.
- W2952637887 crossrefType "posted-content" @default.
- W2952637887 hasAuthorship W2952637887A5001747558 @default.
- W2952637887 hasAuthorship W2952637887A5025746918 @default.
- W2952637887 hasConcept C102519508 @default.
- W2952637887 hasConcept C106301342 @default.
- W2952637887 hasConcept C121332964 @default.
- W2952637887 hasConcept C127172972 @default.
- W2952637887 hasConcept C134306372 @default.
- W2952637887 hasConcept C154249771 @default.
- W2952637887 hasConcept C207864730 @default.
- W2952637887 hasConcept C23463724 @default.
- W2952637887 hasConcept C2524010 @default.
- W2952637887 hasConcept C2775913539 @default.
- W2952637887 hasConcept C2780695682 @default.
- W2952637887 hasConcept C2834757 @default.
- W2952637887 hasConcept C28826006 @default.
- W2952637887 hasConcept C33923547 @default.
- W2952637887 hasConcept C3445786 @default.
- W2952637887 hasConcept C61797465 @default.
- W2952637887 hasConcept C62520636 @default.
- W2952637887 hasConceptScore W2952637887C102519508 @default.
- W2952637887 hasConceptScore W2952637887C106301342 @default.
- W2952637887 hasConceptScore W2952637887C121332964 @default.
- W2952637887 hasConceptScore W2952637887C127172972 @default.
- W2952637887 hasConceptScore W2952637887C134306372 @default.
- W2952637887 hasConceptScore W2952637887C154249771 @default.
- W2952637887 hasConceptScore W2952637887C207864730 @default.
- W2952637887 hasConceptScore W2952637887C23463724 @default.
- W2952637887 hasConceptScore W2952637887C2524010 @default.
- W2952637887 hasConceptScore W2952637887C2775913539 @default.
- W2952637887 hasConceptScore W2952637887C2780695682 @default.
- W2952637887 hasConceptScore W2952637887C2834757 @default.
- W2952637887 hasConceptScore W2952637887C28826006 @default.
- W2952637887 hasConceptScore W2952637887C33923547 @default.
- W2952637887 hasConceptScore W2952637887C3445786 @default.
- W2952637887 hasConceptScore W2952637887C61797465 @default.
- W2952637887 hasConceptScore W2952637887C62520636 @default.
- W2952637887 hasLocation W29526378871 @default.
- W2952637887 hasOpenAccess W2952637887 @default.
- W2952637887 hasPrimaryLocation W29526378871 @default.
- W2952637887 hasRelatedWork W2004547904 @default.
- W2952637887 hasRelatedWork W2064830082 @default.
- W2952637887 hasRelatedWork W2094331216 @default.
- W2952637887 hasRelatedWork W2131822437 @default.
- W2952637887 hasRelatedWork W2283745700 @default.
- W2952637887 hasRelatedWork W2510945485 @default.
- W2952637887 hasRelatedWork W2727419065 @default.
- W2952637887 hasRelatedWork W2756051650 @default.
- W2952637887 hasRelatedWork W2759837948 @default.
- W2952637887 hasRelatedWork W2782419711 @default.
- W2952637887 hasRelatedWork W2807937553 @default.
- W2952637887 hasRelatedWork W2810656263 @default.
- W2952637887 hasRelatedWork W2888917457 @default.
- W2952637887 hasRelatedWork W2899608402 @default.
- W2952637887 hasRelatedWork W2946670889 @default.
- W2952637887 hasRelatedWork W2951773870 @default.
- W2952637887 hasRelatedWork W2988610093 @default.
- W2952637887 hasRelatedWork W2997879345 @default.
- W2952637887 hasRelatedWork W3177420946 @default.
- W2952637887 hasRelatedWork W2136337320 @default.
- W2952637887 isParatext "false" @default.
- W2952637887 isRetracted "false" @default.
- W2952637887 magId "2952637887" @default.
- W2952637887 workType "article" @default.