
Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations
Society for Industrial & Applied Mathematics,U.S. (Publisher)
Will be published approx. on 31. August 1998
Book
Paperback/Softback
331 pages
978-0-89871-412-8 (ISBN)
Description
Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field's leading authorities, it provides a unified presentation of initial value and boundary value problems in ODEs as well as differential-algebraic equations. The approach is aimed at a thorough understanding of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition. It also addresses reasons why existing software succeeds or fails.
This book is a practical and mathematically well informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development, such as symplectic methods for Hamiltonian systems, are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included.
This book is a practical and mathematically well informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development, such as symplectic methods for Hamiltonian systems, are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included.
Reviews / Votes
' ... All in all, the book, which also contains many examples and pointers to software, is excellent as an introduction to the field and definitely suitable for introductory courses at senior undergraduate or beginning graduate level.' C. Bendtsen, Zentralblatt fuer Mathematik 'I found the book recommendable and very readable. Moreoever, the layout is a feast for the eyes, showing the possibilities of a careful LaTex design.' Michael Hanke, Mathematical ReviewsMore details
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 254 mm
Width: 179 mm
Thickness: 19 mm
Weight
580 gr
ISBN-13
978-0-89871-412-8 (9780898714128)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
List of Figures
List of Tables
Preface
Part I: Introduction. Chapter 1: Ordinary Differential Equations
Part II: Initial Value Problems. Chapter 2: On Problem Stability
Chapter 3: Basic Methods, Basic Concepts
Chapter 4: One-Step Methods
Chapter 5: Linear Multistep Methods
Part III: Boundary Value Problems. Chapter 6: More Boundary Value Problem Theory and Applications
Chapter 7: Shooting
Chapter 8: Finite Difference Methods for Boundary Value Problems
Part IV: Differential-Algebraic Equations. Chapter 9: More on Differential-Algebraic Equations
Chapter 10: Numerical Methods for Differential-Algebraic Equations
Bibliography
Index.
List of Tables
Preface
Part I: Introduction. Chapter 1: Ordinary Differential Equations
Part II: Initial Value Problems. Chapter 2: On Problem Stability
Chapter 3: Basic Methods, Basic Concepts
Chapter 4: One-Step Methods
Chapter 5: Linear Multistep Methods
Part III: Boundary Value Problems. Chapter 6: More Boundary Value Problem Theory and Applications
Chapter 7: Shooting
Chapter 8: Finite Difference Methods for Boundary Value Problems
Part IV: Differential-Algebraic Equations. Chapter 9: More on Differential-Algebraic Equations
Chapter 10: Numerical Methods for Differential-Algebraic Equations
Bibliography
Index.