Matches in SemOpenAlex for { <https://semopenalex.org/work/W2108559477> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W2108559477 endingPage "231" @default.
- W2108559477 startingPage "209" @default.
- W2108559477 abstract "The aim of this work is the accurate calculation of periodic solutions to the Sivashinsky equation, which models dynamics of the long wave instability of laminar premixed flame. A highly accurate computational algorithm was developed in both one and two spatial dimensions and its crucial implementation details are presented. The algorithm is based on the concept of saturated asymptotic approximations and can be straightforwardly extended to a wide variety of nonlinear integro-differential equations. The development of such an algorithm was motivated by difficulties in interpretation of the results of numerical experiments with the Sivashinsky equation using spectral methods. The computations carried out by the algorithm in question are in good agreement with the results obtained earlier by spectral methods. Analysis of the accuracy of obtained numerical solutions and of their stabilization to steady states supports the idea of the instability of the steady coalescent pole solutions (with maximal possible number of poles) to the Sivashinsky equation in large domains through huge linear transient amplification of nonmodal perturbations of small but finite amplitudes." @default.
- W2108559477 created "2016-06-24" @default.
- W2108559477 creator A5025273123 @default.
- W2108559477 creator A5036028881 @default.
- W2108559477 creator A5065167325 @default.
- W2108559477 date "2003-06-01" @default.
- W2108559477 modified "2023-10-16" @default.
- W2108559477 title "High accuracy periodic solutions to the Sivashinsky equation" @default.
- W2108559477 cites W1485016971 @default.
- W2108559477 cites W1638675652 @default.
- W2108559477 cites W1967490422 @default.
- W2108559477 cites W1982999858 @default.
- W2108559477 cites W1995310230 @default.
- W2108559477 cites W1996407840 @default.
- W2108559477 cites W1997652534 @default.
- W2108559477 cites W2053087713 @default.
- W2108559477 cites W2059097946 @default.
- W2108559477 cites W2061558987 @default.
- W2108559477 cites W2067862732 @default.
- W2108559477 cites W2069665540 @default.
- W2108559477 cites W2076963649 @default.
- W2108559477 cites W2078343589 @default.
- W2108559477 cites W2094013294 @default.
- W2108559477 cites W2095954705 @default.
- W2108559477 cites W2102032362 @default.
- W2108559477 cites W2109419735 @default.
- W2108559477 cites W4240572325 @default.
- W2108559477 cites W1977678265 @default.
- W2108559477 doi "https://doi.org/10.1016/s0021-9991(03)00164-5" @default.
- W2108559477 hasPublicationYear "2003" @default.
- W2108559477 type Work @default.
- W2108559477 sameAs 2108559477 @default.
- W2108559477 citedByCount "7" @default.
- W2108559477 countsByYear W21085594772012 @default.
- W2108559477 crossrefType "journal-article" @default.
- W2108559477 hasAuthorship W2108559477A5025273123 @default.
- W2108559477 hasAuthorship W2108559477A5036028881 @default.
- W2108559477 hasAuthorship W2108559477A5065167325 @default.
- W2108559477 hasConcept C134306372 @default.
- W2108559477 hasConcept C28826006 @default.
- W2108559477 hasConcept C33923547 @default.
- W2108559477 hasConceptScore W2108559477C134306372 @default.
- W2108559477 hasConceptScore W2108559477C28826006 @default.
- W2108559477 hasConceptScore W2108559477C33923547 @default.
- W2108559477 hasIssue "1" @default.
- W2108559477 hasLocation W21085594771 @default.
- W2108559477 hasOpenAccess W2108559477 @default.
- W2108559477 hasPrimaryLocation W21085594771 @default.
- W2108559477 hasRelatedWork W2050770628 @default.
- W2108559477 hasRelatedWork W2076155347 @default.
- W2108559477 hasRelatedWork W2083964489 @default.
- W2108559477 hasRelatedWork W2141704600 @default.
- W2108559477 hasRelatedWork W2347039194 @default.
- W2108559477 hasRelatedWork W2401850100 @default.
- W2108559477 hasRelatedWork W3043663456 @default.
- W2108559477 hasRelatedWork W3117324600 @default.
- W2108559477 hasRelatedWork W3157737782 @default.
- W2108559477 hasRelatedWork W3161443230 @default.
- W2108559477 hasVolume "188" @default.
- W2108559477 isParatext "false" @default.
- W2108559477 isRetracted "false" @default.
- W2108559477 magId "2108559477" @default.
- W2108559477 workType "article" @default.