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, 2003

Synopsis

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in - search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, whichwill focus on advanced textbooks and research-level monographs.

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
• Publication date: 2003
• Language: English
• ISBN 10: 038795449X
• ISBN 13: 9780387954493
• Binding: Hardcover
• Number of pages: 442