Scientific computing with case studies 1st Edition by Dianne O’Leary ISBN 0898716667 978-0898716665
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ISBN 10: 0898716667
ISBN 13: 978-0898716665
Author: Dianne O’Leary
This book is a practical guide to the numerical solution of linear and nonlinear equations, differential equations, optimization problems, and eigenvalue problems. It treats standard problems and introduces important variants such as sparse systems, differential-algebraic equations, constrained optimization, Monte Carlo simulations, and parametric studies. Stability and error analysis are emphasized, and the Matlab algorithms are grounded in sound principles of software design and understanding of machine arithmetic and memory management. Nineteen case studies provide experience in mathematical modeling and algorithm design, motivated by problems in physics, engineering, epidemiology, chemistry, and biology. The topics included go well beyond the standard first-course syllabus, introducing important problems such as differential-algebraic equations and conic optimization problems, and important solution techniques such as continuation methods. The case studies cover a wide variety of fascinating applications, from modeling the spread of an epidemic to determining truss configurations.
Scientific computing with case studies 1st Table of contents:
Chapter1 : Introduction
Chapter 2: Content
Chapter 3: Conclusion
Chapter 4: Appendices
Chapter 5: Glossary
Chapter 6: References
Chapter 7: Index
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