Scientific Computing with Case Studies

di Dianne P. O'Leary (Autore)

Society for Industrial & Applied Mathematics,U.S., 2009

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.

• Autore: Dianne P. O'Leary
• Editore: Society for Industrial & Applied Mathematics,U.S.
• Anno: 2009
• Rilegatura: Paperback / softback
• Pagine: 395 p.
• Dimensioni: 254 x 174 mm
• Peso: 810 gr.
• EAN: 9780898716665

Testo in English