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dc.contributor.authorZlotnik, Alexander
dc.contributor.authorČiegis, Raimondas
dc.date.accessioned2023-09-18T16:36:25Z
dc.date.available2023-09-18T16:36:25Z
dc.date.issued2023
dc.identifier.issn0885-7474
dc.identifier.other(SCOPUS_ID)85148486576
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/115380
dc.description.abstractWe consider an initial-boundary value problem for the n-dimensional wave equation with the variable sound speed, n≥ 1. We construct three-level implicit in time and compact in space (three-point in each space direction) 4th order finite-difference schemes on the uniform rectangular meshes including their one-parameter (for n= 2) and three-parameter (for n= 3) families. We also show that some already known methods can be converted into such schemes. In a unified manner, we prove the conditional stability of schemes in the strong and weak energy norms together with the 4th order error estimate under natural conditions on the time step. We also transform an unconditionally stable 4th order two-level scheme suggested for n= 2 to the three-level form, extend it for any n≥ 1 and prove its stability. We also give an example of a compact scheme for non-uniform in space and time rectangular meshes. We also suggest simple and fast (in theory and practice) iterative methods to implement the schemes. A new effective initial guess to start iterations is given too. We also present promising results of a number of various 2D and 3D numerical experiments.eng
dc.formatPDF
dc.format.extentp. 1-35
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.titleOn construction and properties of compact 4th order finite-difference schemes for the variable coefficient wave equation
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.references30
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionHigher School of Economics University
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.studydirectionA02 - Taikomoji matematika / Applied mathematics
dc.subject.vgtuprioritizedfieldsFM0101 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes
dc.subject.ltspecializationsL104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies
dc.subject.enwave equation
dc.subject.envariable sound speed
dc.subject.encompact higher-order scheme
dc.subject.enstability
dc.subject.eniterative methods
dcterms.sourcetitleJournal of scientific computing
dc.description.issueiss. 1
dc.description.volumevol. 95
dc.publisher.nameSpringer
dc.publisher.cityNew York
dc.identifier.doi2-s2.0-85148486576
dc.identifier.doi85148486576
dc.identifier.doi0
dc.identifier.doi145155117
dc.identifier.doi000935266800001
dc.identifier.doi10.1007/s10915-023-02127-3
dc.identifier.elaba158259159


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