Partial Differential Equations with Numerical Methods: 45 (Texts in Applied Mathematics, 45) - Softcover

Larsson, Stig; Thomee, Vidar

Softcover

ISBN 10: 3540887059 ISBN 13: 9783540887058

Publisher: Springer, 2008

Synopsis

This softcover reprint of a very popular book presents a very well written and systematic introduction to the finite difference and finite element methods for the numerical solution of the basic types of linear partial differential equations (PDE).

About this title

From the Back Cover

The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. As preparation, the two-point boundary value problem and the initial-value problem for ODEs are discussed in separate chapters. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. Some background on linear functional analysis and Sobolev spaces, and also on numerical linear algebra, is reviewed in two appendices.

Edition details

• Publisher: Springer
• Publication date: 2008
• Language: English
• ISBN 10: 3540887059
• ISBN 13: 9783540887058
• Binding: Paperback
• Edition number: 1
• Number of pages: 272