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Factorization of boundary value problems using the invariant embedding method

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHENRY, Jacques
hal.structure.identifierUniversidad Complutense de Madrid / Departamento Matematica Aplicada
dc.contributor.authorRAMOS, Angel M.
dc.date.accessioned2024-04-04T03:12:19Z
dc.date.available2024-04-04T03:12:19Z
dc.date.issued2016-10
dc.identifier.isbn9781785481437
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193857
dc.description.abstractEnThis book presents a new “factorized” formulation, for boundary value problems for linear elliptic partial differential equations.Based on the invariant embedding method of Richard Bellman, well-known for the synthesis of closed loop optimal control, and here applied to solving boundary value problems, this formulation is comprised of two decoupled Cauchy problems and a Riccati equation for Dirichlet Neumann type operators.After presenting and justifying the formal calculation of the factorization using a simple model problem, the authors discuss the application of this method to more complex situations. In this context, a link is built, on a discretized version of the problem, between invariant embedding and the Gaussian factorization.Finally, the book examines how factorization can be extended to other classic linear equations of elliptic type and to the QR factorization
dc.language.isoen
dc.publisherISTE press
dc.title.enFactorization of boundary value problems using the invariant embedding method
dc.typeOuvrage
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.page262
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01413582
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01413582v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2016-10&rft.spage=262&rft.epage=262&rft.au=HENRY,%20Jacques&RAMOS,%20Angel%20M.&rft.isbn=9781785481437&rft.genre=unknown


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