LEADER 03498 am 22006973u 450 001 9910231237503321 005 20230125184813.0 010 $a3-319-55456-5 024 7 $a10.1007/978-3-319-55456-3 035 $a(CKB)4340000000062037 035 $a(DE-He213)978-3-319-55456-3 035 $a(MiAaPQ)EBC5591310 035 $a(Au-PeEL)EBL5591310 035 $a(OCoLC)992169268 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/47686 035 $a(PPN)20299158X 035 $a(EXLCZ)994340000000062037 100 $a20170621d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFinite Difference Computing with PDEs$b[electronic resource] $eA Modern Software Approach /$fby Hans Petter Langtangen, Svein Linge 205 $a1st ed. 2017. 210 $cSpringer Nature$d2017 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XXIII, 507 p. 150 illus.) 225 1 $aTexts in Computational Science and Engineering,$x1611-0994 ;$v16 311 $a3-319-55455-7 327 $aPreface -- Vibration ODEs -- Wave Equations -- Diffusion equations -- Advection-dominated equations -- Nonlinear problems -- Useful formulas -- Truncation error analysis -- Software engineering: wave equation model -- References -- Index. . 330 $aThis book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology. 410 0$aTexts in Computational Science and Engineering,$x1611-0994 ;$v16 606 $aComputer mathematics 606 $aComputer science?Mathematics 606 $aNumerical analysis 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110 606 $aNumeric Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I1701X 610 $apython 610 $anumerical methods 610 $afinite difference methods 610 $aprogramming 610 $averification 610 $adifferential equations 615 0$aComputer mathematics. 615 0$aComputer science?Mathematics. 615 0$aNumerical analysis. 615 14$aComputational Science and Engineering. 615 24$aMathematical Applications in Computer Science. 615 24$aNumeric Computing. 676 $a004 700 $aLangtangen$b Hans Petter$4aut$4http://id.loc.gov/vocabulary/relators/aut$022965 702 $aLinge$b Svein$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910231237503321 996 $aFinite Difference Computing with PDEs$91948211 997 $aUNINA