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9780898714128 Academic Inspection Copy

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

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Designed for those people who want to gain a practical knowledge of modern techniques, this book contains the material necessary to teach a first course on the numerical solution of differential equations. 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.
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.
' ... 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 fur 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 Reviews
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