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Cover: 9783540715825 | Numerical Treatment of Partial Differential Equations | Taschenbuch
Rückseite: 9783540715825 | Numerical Treatment of Partial Differential Equations | Taschenbuch
Cover: 9783540715825 | Numerical Treatment of Partial Differential Equations | Taschenbuch
Rückseite: 9783540715825 | Numerical Treatment of Partial Differential Equations | Taschenbuch
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Numerical Treatment of Partial Differential Equations
Taschenbuch von Christian Grossmann (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

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.

Inhaltsverzeichnis
Partial Differential Equations: Basics and Explicit Representation of Solutions.- Finite Difference Methods.- Weak Solutions, Elliptic Problems and Sobolev Spaces.- The Finite Element Method.- Finite Element Methods for Unsteady Problems.- Singular Perturbations.- Numerical Methods for Variational Inequalities and Optimal Control.- Numerical Methods for Discretized Problems.
Details
Erscheinungsjahr: 2007
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Universitext
Inhalt: xii
596 S.
86 s/w Illustr.
596 p. 86 illus.
ISBN-13: 9783540715825
ISBN-10: 3540715827
Sprache: Englisch
Herstellernummer: 11830948
Einband: Kartoniert / Broschiert
Autor: Grossmann, Christian
Roos, Hans-Görg
Stynes, Martin
Hersteller: Springer
Springer Vieweg
Springer-Verlag GmbH
Universitext
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 33 mm
Von/Mit: Christian Grossmann (u. a.)
Erscheinungsdatum: 04.10.2007
Gewicht: 0,914 kg
Artikel-ID: 102023372
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