Ascher, U.M. and Petzold, L.R. () Computer Method for Ordinary Differential Equations and Differential-Algebraic Equations. Society for Industrial and. Uri M. Ascher is a Professor in the Department of Computer Science at the University of British Columbia, Vancouver. He is also Director of the Institute of. method of Ascher-Petzold. For general semi-explicit index-2 problems, as well as for fully implicit index-1 problems, we define a selective.

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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. Petzolx 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.


Computer methods for ordinary differential equations and differential-algebraic equations

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 ascherr 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.

Audience This book is appropriate for senior undergraduate or beginning graduate students with a computational focus and practicing engineers and scientists who want to learn about computational differential equations. A beginning course in numerical analysis is needed, and a beginning course in ordinary differential equations would be helpful. On Problem Stability; Chapter 3: Basic Methods, Basic Concepts; Chapter 4: One-Step Methods; Chapter 5: More on Differential-Algebraic Equations; Asvher We ascehr to never spam you, and just use your email address to identify you as a valid customer.


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