LEADER 03363nam 22005655 450 001 9910254081203321 005 20241105100010.0 010 $a3-319-27067-2 024 7 $a10.1007/978-3-319-27067-8 035 $a(CKB)3710000000602300 035 $a(SSID)ssj0001659923 035 $a(PQKBManifestationID)16441233 035 $a(PQKBTitleCode)TC0001659923 035 $a(PQKBWorkID)14985359 035 $a(PQKB)10129867 035 $a(DE-He213)978-3-319-27067-8 035 $a(MiAaPQ)EBC5578659 035 $a(PPN)192221876 035 $a(EXLCZ)993710000000602300 100 $a20160211d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aPartial Differential Equations: Modeling, Analysis and Numerical Approximation /$fby Hervé Le Dret, Brigitte Lucquin 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (XI, 395 p. 140 illus., 21 illus. in color.) 225 1 $aInternational Series of Numerical Mathematics,$x0373-3149 ;$v168 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-27065-6 320 $aIncludes bibliographical references and index. 327 $aForeword -- Mathematical modeling and PDEs -- The finite difference method for elliptic problems -- A review of analysis -- The variational formulation of elliptic PDEs.-Variational approximation methods for elliptic PDEs -- The finite element method in dimension two -- The heat equation -- The finite difference method for the heat equation -- The wave equation -- The finite volume method -- Index -- References. 330 $aThis book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems. . 410 0$aInternational Series of Numerical Mathematics,$x0373-3149 ;$v168 606 $aDifferential equations, Partial 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aDifferential equations, Partial. 615 14$aPartial Differential Equations. 676 $a515.353 700 $aLe Dret$b Hervé$4aut$4http://id.loc.gov/vocabulary/relators/aut$0756039 702 $aLucquin$b Brigitte$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254081203321 996 $aPartial Differential Equations: Modeling, Analysis and Numerical Approximation$92283935 997 $aUNINA