Partial Differential Equations for Computational Science

David Betounes

ISBN 10: 0387983007 / ISBN 13: 9780387983004

Published by Springer New York Mai 1998, 1998

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides an extensive introduction to the methods and theory of PDEs without relying on the background in functional analysis and differential geometry. In addition to the heat, wave, and Poisson equations, the text also treats some particular systems of particular differential equations: Maxwell`s equations, the Navier-Stokes equations, and Navier`s equations. It also discusses existence and uniqueness results, Dirichlet forms, weak solutions, and Ritz-Galerkin methods for the heat equation. Appendices in vector analysis, continuum mechanics, and the Maple computer algebra system augment the work. While primarily intended for students taking courses at the upper-division and graduate levels of instruction, the book will also be of interest to many professional readers. Maple is set up within the book in such a way that it can be omitted, depending upon the instructor`s approach to teaching the course. However, the incorporation of this important computational tool into this work has significant advantages in helping students deal with the subject matter at hand. Therefore, the use of Maple is strongly recommended. A multiplatform CD-ROM accompanies the printed text, and is designed to work an Windows 3.1, Windows 95, Macintosh 680x0, Macintosh Power PCs, and most UNIX machines. This disc contains most of the worked examples from the book as Maple Worksheets, delivered in both Release 3 and Release 4 of the Maple software system. The CD also includes a Maple demo which runs on all computer platforms indicated above, and explains the Maple system in some detail. 540 pp. Englisch.

Seller Inventory # 9780387983004

Bibliographic Details

• Title: Partial Differential Equations for Computational Science
• Publisher: Springer New York Mai 1998
• Publication Date: 1998
• Language: English
• ISBN 10: 0387983007
• ISBN 13: 9780387983004
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 183H x 34D millimeters 241 millimeters width by 183 millimeters height by 34 millimeters depth
• Weight: 1112 grams

About this title

Synopsis

This is a classroom-tested and developed textbook designed for use in either one- or two term courses in Partial Differential Equations taught at the advanced undergradute and beginning graduate levels of instruction. In addition to covering the standard PDE topics taught in such courses, there is a heavy focus on vector analysis. Maple examples and exercises for the students are presented strategically within the book, and an Appendix on Maple facilitates the use of this computer algebra language, acting as a quick reference source for readers. This book will have strong appeal to interdisciplinary audiences of engineers and scientists, particulary in regard to its treatments of fluid mechanics, heat equations, and continuum mechanics, inclusion of the latter being a unique feature of the presentation.