This text develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems. PDEs and ODEs are discussed from a unified view, with emphasis on finite difference and finite volume methods, specifically their principled derivation, stability, accuracy, efficient implementation, and practical performance in various fields of science and engineering.
This text develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems. PDEs and ODEs are discussed from a unified view, with emphasis on finite difference and finite volume methods, specifically their principled derivation, stability, accuracy, efficient implementation, and practical performance in various fields of science and engineering.
Uri M. Ascher is a Professor of Computer Science at the University of British Columbia, Vancouver.
Inhaltsangabe
List of figures List of tables Preface Part I. Introduction: 1. Ordinary differential equations 2. On problem atability 3. Basic methods, Basic concepts 4. One-step methods 5. Linear multistep methods 6. More boundary value problem theory and applications 7. Shooting 8. Finite difference methods for boundary value problems 9. More on differential-algebraic equations 10. Numerical methods for differential-algebraic equations Bibliography Index.
List of figures List of tables Preface Part I. Introduction: 1. Ordinary differential equations 2. On problem atability 3. Basic methods, Basic concepts 4. One-step methods 5. Linear multistep methods 6. More boundary value problem theory and applications 7. Shooting 8. Finite difference methods for boundary value problems 9. More on differential-algebraic equations 10. Numerical methods for differential-algebraic equations Bibliography Index.
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