Scientific Computing with Case Studies

Scientific Computing with Case Studies
Author: Dianne P. O'Leary
Publisher: SIAM
Total Pages: 377
Release: 2009-01-01
Genre: Mathematics
ISBN: 0898717728


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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
Language: en
Pages: 377
Authors: Dianne P. O'Leary
Categories: Mathematics
Type: BOOK - Published: 2009-01-01 - Publisher: SIAM

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This book is a practical guide to the numerical solution of linear and nonlinear equations, differential equations, optimization problems, and eigenvalue proble
Scientific Computing
Language: en
Pages: 567
Authors: Michael T. Heath
Categories: Science
Type: BOOK - Published: 2018-11-14 - Publisher: SIAM

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This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detail
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Language: en
Pages: 533
Authors: Deborah Nolan
Categories: Business & Economics
Type: BOOK - Published: 2015-04-21 - Publisher: CRC Press

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Effectively Access, Transform, Manipulate, Visualize, and Reason about Data and ComputationData Science in R: A Case Studies Approach to Computational Reasoning
Projects in Scientific Computation
Language: en
Pages: 500
Authors: Richard E. Crandall
Categories: Computers
Type: BOOK - Published: 2000-06-22 - Publisher: Springer Science & Business Media

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This interdisciplinary book provides a compendium of projects, plus numerous example programs for readers to study and explore. Designed for advanced undergradu
Parallel Processing for Scientific Computing
Language: en
Pages: 421
Authors: Michael A. Heroux
Categories: Computers
Type: BOOK - Published: 2006-01-01 - Publisher: SIAM

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Parallel processing has been an enabling technology in scientific computing for more than 20 years. This book is the first in-depth discussion of parallel compu