Computational Partial Differential Equations: Numerical Methods and Diffpack Programming. Lecture notes in computational science and engineering Vol. 2

Langtangen, Hans Petter

ISBN 10: 3540652744 / ISBN 13: 9783540652748

Published by Springer Verlag, Berlin - Heidelberg - New York, 1999

About this Item

XIX, 682 S., Literaturverz. S. 663 - 670, mit zahlr. Abb., 24 cm, Schnitt nachgedunkelt, Name im Vorsatz durchgestrichen, sonst gepflegtes Exemplar. VERSANDKOSTEN WEICHEN AB. . Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet. 682 p. Seller Inventory # 20-358

Bibliographic Details

Title: Computational Partial Differential Equations...

Publisher: Springer Verlag, Berlin - Heidelberg - New York

Publication Date: 1999

Binding: Hardcover

Condition: Sehr gut

Edition: 1. Auflage.

Book Type: Buch

About this title

Synopsis:

The target audience of this book is students and researchers in computational sciences who need to develop computer codes for solving partial differential equations. The exposition is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view. The main emphasis regards development of flexible computer programs, using the numerical library Diffpack. The application of Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. Diffpack is a modern software development environment based on C++ and object-oriented programming. All the program examples, as well as a test version of Diffpack, are available for free over the Internet.

Review:

The book explains the difficulties of the mathematics as well as the intricacies involved when the PDEs are ``linearized'' into systems of algebraic equations and solved in various ways. ... With each level of complexity, relevant sample problems are solved using the Diffpack software to demonstrate how the problem can be solved. My usual complaint for technical books is that they either go too far with examples and don't provide enough background, or they do the opposite and go too far with theory and leave the reader with no concrete way to apply it. In my opinion, this book has struck the balance well. I wholeheartedly recommend it as a general text on the topic. Summary: Excellent book, powerful software, well-written, well-documented, but steep learning curve. (The Linux Journal, December, 1999 (by Jim Moore)) -- The Linux Journal, December, 1999 (by Jim Moore)