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Numerical Analysis of Partial Differential Equations

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Wiley


Collection :

Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts

Paru le : 2012-01-10

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Description
A balanced guide to the essential techniques for solving elliptic partial differential equations
Numerical Analysis of Partial Differential Equations provides a comprehensive, self-contained treatment of the quantitative methods used to solve elliptic partial differential equations (PDEs), with a focus on the efficiency as well as the error of the presented methods. The author utilizes coverage of theoretical PDEs, along with the nu merical solution of linear systems and various examples and exercises, to supply readers with an introduction to the essential concepts in the numerical analysis of PDEs.
The book presents the three main discretization methods of elliptic PDEs: finite difference, finite elements, and spectral methods. Each topic has its own devoted chapters and is discussed alongside additional key topics, including:
The mathematical theory of elliptic PDEs
Numerical linear algebra
Time-dependent PDEs
Multigrid and domain decomposition
PDEs posed on infinite domains
The book concludes with a discussion of the methods for nonlinear problems, such as Newton's method, and addresses the importance of hands-on work to facilitate learning. Each chapter concludes with a set of exercises, including theoretical and programming problems, that allows readers to test their understanding of the presented theories and techniques. In addition, the book discusses important nonlinear problems in many fields of science and engineering, providing information as to how they can serve as computing projects across various disciplines.
Requiring only a preliminary understanding of analysis, Numerical Analysis of Partial Differential Equations is suitable for courses on numerical PDEs at the upper-undergraduate and graduate levels. The book is also appropriate for students majoring in the mathematical sciences and engineering.
Pages
512 pages
Collection
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Parution
2012-01-10
Marque
Wiley
EAN papier
9780470647288
EAN PDF
9781118111109
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
512
Taille du fichier
18924 Ko
Prix
130,77 €
EAN EPUB
9781118111116
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
512
Taille du fichier
11643 Ko
Prix
130,77 €

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