Elements of Scientific Computing, Aslak Tveito; Hans Petter Langtangen; Bj?rn Freder

Автор: Quarteroni Alfio
Название: Scientific Computing with MATLAB and Octave
ISBN: 3642124291 ISBN-13(EAN): 9783642124297
Издательство: Springer
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Цена: 6981.00 р.
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Автор: O`leary, Dianne P. (university Of Maryland, Colleg
Название: Scientific computing with case studies
ISBN: 0898716667 ISBN-13(EAN): 9780898716665
Издательство: Mare Nostrum (Eurospan)
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Цена: 14045.00 р.
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Описание: 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.