Rodyti trumpą aprašą

dc.contributor.authorKrylovas, Aleksandras
dc.contributor.authorČiegis, Raimondas
dc.date.accessioned2023-09-18T19:14:38Z
dc.date.available2023-09-18T19:14:38Z
dc.date.issued2004
dc.identifier.issn1392-6292
dc.identifier.other(BIS)VGT02-000008974
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/137197
dc.description.abstractWe present an overview of averaging method for solving weakly nonlinear hyperbolic systems. An asymptotic solution is constructed, which is uniformly valid in the "large" domain of variables t + |x| ~ O(ε­¹). Using this method we obtain the averaged system, which disintegrates into independent equations for the nonresonant systems. A scheme for theoretical justification of such algorithms is given and examples are presented. The averaged systems with periodic solutions are investigated for the following problems of mathematical physics: shallow water waves, gas dynamics and elastic waves. In the resonant case the averaged systems must be solved numerically. They are approximated by the finite difference schemes and the results of numerical experiments are presented.eng
dc.format.extentp. 209-222
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.titleA review of numerical asymptotic averaging for weakly nonlinear hyperbolic waves
dc.typeStraipsnis kitame recenzuotame leidinyje / Article in other peer-reviewed source
dc.type.pubtypeS4 - Straipsnis kitame recenzuotame leidinyje / Article in other peer-reviewed publication
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dcterms.sourcetitleMathematical Modelling and Analysis : The Baltic Journal on Mathematical Applications, Numerical Analysis and Differential Equations
dc.description.issueno. 3
dc.description.volumeVol. 9
dc.publisher.nameTechnika
dc.publisher.cityVilnius
dc.identifier.doiMRU02-000016757
dc.identifier.elaba3679674


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Rodyti trumpą aprašą