LEADER 05187nam 22007455 450 001 9910300147203321 005 20200702004336.0 010 $a3-319-05684-0 024 7 $a10.1007/978-3-319-05684-5 035 $a(CKB)3710000000114376 035 $a(EBL)1731074 035 $a(OCoLC)880934476 035 $a(SSID)ssj0001242750 035 $a(PQKBManifestationID)11679736 035 $a(PQKBTitleCode)TC0001242750 035 $a(PQKBWorkID)11262009 035 $a(PQKB)11126545 035 $a(MiAaPQ)EBC1731074 035 $a(DE-He213)978-3-319-05684-5 035 $a(PPN)178781681 035 $a(EXLCZ)993710000000114376 100 $a20140512d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFinite Volumes for Complex Applications VII-Methods and Theoretical Aspects $eFVCA 7, Berlin, June 2014 /$fedited by Jürgen Fuhrmann, Mario Ohlberger, Christian Rohde 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (450 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v77 300 $aDescription based upon print version of record. 311 $a3-319-05683-2 320 $aIncludes bibliographical references and index. 327 $aPart I Invited contributions. P. Bochev: Compatible Discretizations for Partial Differential Equations -- F. Bouchu: Finite Volume Methods for Shallow Water Equations, Hyperbolic Equations, Magnetohydrodynamics -- C. Chainais-Hillairet: Finite Volume Methods for Drift-Diffusion Equations -- M. Dumbser: High Order One-Step AMR and ALE Methods for Hyperbolic PDE -- P. Helluy: Compressible Multiphase Flows -- K. Mikula: Finite Volumes in Image Processing and Groundwater Flow -- S. Mishra: Finite Volume Methods for Conservation Laws, Uncertainty Quantification -- Part II Theoretical aspects of Finite Volume Methods. 330 $aThe first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Altogether, a rather comprehensive overview is given of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v77 606 $aNumerical analysis 606 $aPhysics 606 $aComputer simulation 606 $aPartial differential equations 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aSimulation and Modeling$3https://scigraph.springernature.com/ontologies/product-market-codes/I19000 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aNumerical analysis. 615 0$aPhysics. 615 0$aComputer simulation. 615 0$aPartial differential equations. 615 14$aNumerical Analysis. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aSimulation and Modeling. 615 24$aPartial Differential Equations. 676 $a532 702 $aFuhrmann$b Jürgen$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aOhlberger$b Mario$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRohde$b Christian$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300147203321 996 $aFinite volumes for complex applications VII-Methods and theoretical aspects$91410299 997 $aUNINA