LEADER 04267nam 22007455 450 001 9910299785703321 005 20220502170952.0 010 $a3-319-19267-1 024 7 $a10.1007/978-3-319-19267-3 035 $a(CKB)3710000000449518 035 $a(EBL)3567760 035 $a(SSID)ssj0001534659 035 $a(PQKBManifestationID)11995407 035 $a(PQKBTitleCode)TC0001534659 035 $a(PQKBWorkID)11496430 035 $a(PQKB)11573650 035 $a(DE-He213)978-3-319-19267-3 035 $a(MiAaPQ)EBC3567760 035 $a(PPN)187689660 035 $a(EXLCZ)993710000000449518 100 $a20150717d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDiscontinuous Galerkin method $eanalysis and applications to compressible flow /$fby Vít Dolej?í, Miloslav Feistauer 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (575 p.) 225 1 $aSpringer Series in Computational Mathematics,$x0179-3632 ;$v48 300 $aDescription based upon print version of record. 311 $a3-319-19266-3 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Part I: Analysis of the discontinuous Galerkin method -- DGM for elliptic problems -- Methods based on a mixed formulation -- DGM for convection-diffusion problems -- Space-time discretization by multi-step methods -- Space-time discontinuous Galerkin method  -- Generalization of the DGM -- Part II:  Applications of the discontinuous Galerkin method -- Inviscid compressible flow -- Viscous compressible flow -- Fluid-structure interaction -- References -- Index.  . 330 $aThe subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. It deals with the theoretical as well as practical aspects of the DGM and treats the basic concepts and ideas of the DGM, as well as the latest significant findings and achievements in this area. The main benefit for readers and the book?s uniqueness lie in the fact that it is sufficiently detailed, extensive and mathematically precise, while at the same time providing a comprehensible guide through a wide spectrum of discontinuous Galerkin techniques and a survey of the latest efficient, accurate and robust discontinuous Galerkin schemes for the solution of compressible flow. 410 0$aSpringer Series in Computational Mathematics,$x0179-3632 ;$v48 606 $aNumerical analysis 606 $aComputer mathematics 606 $aMathematical models 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aNumerical analysis. 615 0$aComputer mathematics. 615 0$aMathematical models. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aNumerical Analysis. 615 24$aComputational Science and Engineering. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aApplications of Mathematics. 676 $a515.35 700 $aDolej?í$b Vít$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755608 702 $aFeistauer$b Miloslav$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299785703321 996 $aDiscontinuous Galerkin Method$92528693 997 $aUNINA