Scientific Computing with Case Studies

Dianne P. O'Leary

Learning through doing is the foundation of Scientific Computing with Case Studies, which allows readers to explore case studies as well as expository material. The book provides a practical guide to the numerical solution of linear an nonlinear equations, differential equations, optimization problems, and eigenvalue problems. It treats, standard problems and introduces important variants such as space systems, differential-algebraic equations, constrained optimization, Monte Carlo simulations, and parametric studies. Stability and error analysis is emphasized, and the MATLAB algorithms are grounded in sound principles of software design and in the understanding of machine arithmetic and memory management. Nineteen case studies allow readers to become familiar with mathematical modeling and algorithm design, motivated by problems in physics, engineering, epidemiology, chemistry,...

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