Numerical Methods for Elliptic and Parabolic Partial Differential Equations: 44 - Brossura

Knabner, Peter

9781441930040: Numerical Methods for Elliptic and Parabolic Partial Differential Equations: 44

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ISBN 10: 1441930043 ISBN 13: 9781441930040

Casa editrice: Springer, 2013

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This text provides an application oriented introduction to the numerical methods for 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.

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Contenuti

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 * The Finite Volume Method * Discretization Methods for Parabolic Initial Boundary Value Problems * Iterative Methods for Nonlinear Equations * Discretization Methods for Convection-Dominated Problems * Appendices

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Editore: Springer
Data di pubblicazione: 2013
Lingua: Inglese
ISBN 10: 1441930043
ISBN 13: 9781441930040
Rilegatura: Copertina flessibile
Numero di pagine: 444
Contatto del produttore: non disponibile
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9780387954493: Numerical Methods for Elliptic and Parabolic Partial Differential Equations: 44

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ISBN 10: 038795449X ISBN 13: 9780387954493
Casa editrice: Springer Nature, 2003
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Texts in Applied Mathematics - 44: Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Peter Knabner

Editore: Springer, 2010

ISBN 10: 1441930043 ISBN 13: 9781441930040

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Softcover. Condizione: Fine. Leichte Abnutzungen; Gebogener Buchr�cken. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in - search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as nume- cal and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Codice articolo 0a886c71-3ba5-4708-9b64-e81f1de6eb84

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