Numerical Methods for Elliptic and Parabolic Partial Differential Equations: 44 (Texts in Applied Mathematics, 44) - Hardcover

Knabner, Peter; Angerman, Lutz

Hardcover

ISBN 10: 038795449X ISBN 13: 9780387954493

Publisher: Springer-Verlag New York Inc., 2003

Synopsis

This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.

About this title

Synopsis

This book covers numerical methods for partial differential equations: discretization methods such as finite difference, finite volume and finite element methods; solution methods for linear and nonlinear systems of equations and grid generation.The book takes account of both the theory and implementation, providing simultaneously both a rigorous and an inductive presentation of the technical details. It contains modern topics such as adaptive methods, multilevel methods and methods for convection-dominated problems. Detailed illustrations and extensive exercises are included.It will provide mathematics students with an introduction to the theory and methods, guiding them in their selection of methods and helping them to understand and pursue finite element programming. For engineering and physics students it will provide a general framework for formulation and analysis of methods providing a broader perspective to specific applications.

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 2003
• Language: English
• ISBN 10: 038795449X
• ISBN 13: 9780387954493
• Binding: Hardcover
• Number of pages: 442