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Catalogue Information
Field name	Details
Dewey Class	518
Title	Numerical Methods for Elliptic and Parabolic Partial Differential Equations ([EBook] :) : With contributions by Andreas Rupp / / by Peter Knabner, Lutz Angermann.
Author	Knabner, Peter
Added Personal Name	Angermann, Lutz
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details	XIX, 802 p. 98 illus., 2 illus. in color. : online resource.
Series	Texts in applied mathematics 2196-9949 ; ; 44
ISBN	9783030793852
Summary Note	This 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.:
Contents note	For 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.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-79385-2
Links to Related Works	Subject References: Analysis . Applications of Mathematics . Computational Mathematics and Numerical Analysis . Engineering mathematics . Engineering—Data processing . Mathematical analysis . Mathematical and Computational Engineering Applications . Mathematical Physics . Mathematics . Mathematics—Data processing . Numerical Analysis . Theoretical, Mathematical and Computational Physics . Authors: Angermann, Lutz . author . Knabner, Peter . Corporate Authors: SpringerLink (Online service) . Series: Texts in applied mathematics . Classification: 518 .

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Numerical Methods for Elliptic and Parabolic Partial Differential Equations: With contributions by Andreas Rupp /

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