Numerical Treatment of Partial Differential Equations
Produktnummer:
18549b22f23bfb4494a714361de73736c3
Autor: | Grossmann, Christian Roos, Hans-Görg Stynes, Martin |
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Themengebiete: | Boundary value problem Finite Differences Finite Element Methods Finite Volumes Partial Differential Equations Sobolev space finite element method hyperbolic partial differential equation maximum principle partial differential equation |
Veröffentlichungsdatum: | 04.10.2007 |
EAN: | 9783540715825 |
Sprache: | Englisch |
Seitenzahl: | 596 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer Berlin |
Produktinformationen "Numerical Treatment of Partial Differential Equations"
This book deals with discretization techniques for elliptic, parabolic and hyperbolic partial differential equations. It provides an introduction to the main principles of discretizations and presents to the reader the ideas and analysis of advanced numerical methods in this area. The book also covers recent research developments - these topics of current interest are rarely considered in other textbooks. It is the authors' aim to give mathematically-inclined students, scientists and engineers a textbook that contains all the basic discretization techniques for the three fundamental types of partial differential equations and in which the reader can find analytical tools, properties of discretizations, and some advice on algorithmic aspects. While finite element methods are the main focus of the book, finite difference methods and finite volume techniques are also presented. Furthermore, the book provides the basic tools needed to solve the discrete problems generated.

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