001441026 000__ 03986cam\a2200505\i\4500
001441026 001__ 1441026
001441026 003__ OCoLC
001441026 005__ 20230309004716.0
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001441026 020__ $$a9783030793852$$q(electronic bk.)
001441026 020__ $$a3030793850$$q(electronic bk.)
001441026 020__ $$z9783030793845$$q(print)
001441026 0247_ $$a10.1007/978-3-030-79385-2$$2doi
001441026 035__ $$aSP(OCoLC)1286621264
001441026 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dOCLCF$$dOCLCO$$dOCLCQ
001441026 049__ $$aISEA
001441026 050_4 $$aQA377
001441026 08204 $$a515/.353$$223
001441026 1001_ $$aKnabner, Peter,$$eauthor$$1https://orcid.org/0000-0003-2141-4889
001441026 24510 $$aNumerical methods for elliptic and parabolic partial differential equations /$$cPeter Knabner, Lutz Angermann ; with contributions by Andreas Rupp.
001441026 250__ $$aSecond extended edition.
001441026 264_1 $$aCham, Switzerland :$$bSpringer,$$c2021.
001441026 300__ $$a1 online resource (xix, 802 pages) :$$billustrations (some color)
001441026 336__ $$atext$$btxt$$2rdacontent
001441026 337__ $$acomputer$$bc$$2rdamedia
001441026 338__ $$aonline resource$$bcr$$2rdacarrier
001441026 4901_ $$aTexts in applied mathematics,$$x2196-9949 ;$$vvolume 44
001441026 504__ $$aIncludes bibliographical references and index.
001441026 5050_ $$aFor Example: Modelling Processes in Porous Media with Differential Equations -- For the Beginning: The Finite Difference Method for the Poisson Equation -- The Finite Element Method for the Poisson Equation -- The Finite Element Method for Linear Elliptic Boundary Value Problems of Second Order -- Grid Generation and A Posteriori Error Estimation -- Iterative Methods for Systems of Linear Equations -- Beyond Coercivity, Consistency and Conformity -- Mixed and Nonconforming Discretization Methods -- The Finite Volume Method -- Discretization Methods for Parabolic Initial Boundary Value Problems -- Discretization Methods for Convection-Dominated Problems -- An Outlook to Nonlinear Partial Differential Equations -- Appendices.
001441026 506__ $$aAccess limited to authorized users.
001441026 520__ $$aThis graduate-level text provides an application oriented introduction to the numerical methods for elliptic and parabolic partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises. For students with mathematics major it is an excellent introduction to the theory and methods, guiding them in the selection of methods and helping them to understand and pursue finite element programming. For engineering and physics students it provides a general framework for the formulation and analysis of methods. This second edition sees additional chapters on mixed discretization and on generalizing and unifying known approaches; broader applications on systems of diffusion, convection and reaction; enhanced chapters on node-centered finite volume methods and methods of convection-dominated problems, specifically treating the now-popular cell-centered finite volume method; and the consideration of realistic formulations beyond the Poisson's equation for all models and methods.
001441026 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 29, 2021).
001441026 650_0 $$aDifferential equations, Partial$$xNumerical solutions.
001441026 650_6 $$aÉquations aux dérivées partielles$$xSolutions numériques.
001441026 655_0 $$aElectronic books.
001441026 7001_ $$aAngermann, Lutz,$$eauthor$$1https://orcid.org/0000-0003-3474-2160
001441026 830_0 $$aTexts in applied mathematics ;$$v44.
001441026 852__ $$bebk
001441026 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-79385-2$$zOnline Access$$91397441.1
001441026 909CO $$ooai:library.usi.edu:1441026$$pGLOBAL_SET
001441026 980__ $$aBIB
001441026 980__ $$aEBOOK
001441026 982__ $$aEbook
001441026 983__ $$aOnline
001441026 994__ $$a92$$bISE