Computer Solved Differential Equations

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Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

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.
Computer Solved Differential Equations

This book is a how-to-do booklet. The differential equations have the answers in tabular form. Knowing how to use a table of derivatives is necessary. The computer language was in basic format. You can use any computer language to do these problems. The author has 35 years of teaching in a technical college setting. The courses taught were mechanical engineering, physics, and math courses. The differential equations course was taught using classroom lectures and a lab session using experiments. The student had to present a report containing classical solutions, experimental results, and computer solutions to each physical experiment.
Computer Algebra and Differential Equations

Author: E. Tournier
language: en
Publisher: Cambridge University Press
Release Date: 1994-03-03
Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.