03498 am 22006973u 450 991023123750332120230125184813.03-319-55456-510.1007/978-3-319-55456-3(CKB)4340000000062037(DE-He213)978-3-319-55456-3(MiAaPQ)EBC5591310(Au-PeEL)EBL5591310(OCoLC)992169268(oapen)https://directory.doabooks.org/handle/20.500.12854/47686(PPN)20299158X(EXLCZ)99434000000006203720170621d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierFinite Difference Computing with PDEs[electronic resource] A Modern Software Approach /by Hans Petter Langtangen, Svein Linge1st ed. 2017.Springer Nature2017Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XXIII, 507 p. 150 illus.) Texts in Computational Science and Engineering,1611-0994 ;163-319-55455-7 Preface -- Vibration ODEs -- Wave Equations -- Diffusion equations -- Advection-dominated equations -- Nonlinear problems -- Useful formulas -- Truncation error analysis -- Software engineering: wave equation model -- References -- Index. .This 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.Texts in Computational Science and Engineering,1611-0994 ;16Computer mathematicsComputer science—MathematicsNumerical analysisComputational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Mathematical Applications in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M13110Numeric Computinghttps://scigraph.springernature.com/ontologies/product-market-codes/I1701Xpythonnumerical methodsfinite difference methodsprogrammingverificationdifferential equationsComputer mathematics.Computer science—Mathematics.Numerical analysis.Computational Science and Engineering.Mathematical Applications in Computer Science.Numeric Computing.004Langtangen Hans Petterauthttp://id.loc.gov/vocabulary/relators/aut22965Linge Sveinauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910231237503321Finite Difference Computing with PDEs1948211UNINA