Christian Grossmann, Hans-Görg Roos, Martin Stynes

Numerical Treatment of Partial Differential Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book deals with discretization techniques for partial differential equations of elliptic, parabolic and hyperbolic type. It provides an introduction to the main principles of discretization and gives a presentation of the ideas and analysis of advanced numerical methods in the area. The book is mainly dedicated to finite element methods, but it also discusses difference methods and finite volume techniques.

Coverage offers analytical tools, properties of discretization techniques and hints to algorithmic aspects. It also guides readers to current developments in research.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 596
• Erscheinungstermin: 11. August 2007
• Englisch
• ISBN-13: 9783540715849
• Artikelnr.: 44127675

Autorenporträt

Christian Grossmann, TU Dresden, Germany / Hans-Görg Roos, TU Dresden, Germany / Martin Stynes, University College Cork, Ireland

Inhaltsangabe

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.

Rezensionen

From the reviews:

"This textbook is the translation and revision of the third German edition of 2005. ... the book deals with different aspects of the numerical solution of elliptic, parabolic and hyperbolic partial differential equations. ... An index and two pages with a summary of the notations used complete the presentation. ... It can be highly recommended for students and engineers but also for numerical analysts." (Riidiger Weiner, Zentralblatt fiir Angewandte Mathematik and Mechanik, Vol. 88 (12), 2008)