Classical and Modern Numerical Analysis: Theory, Methods and Practice

ISBN-13: 9781420091571 / Angielski / Twarda / 2009 / 628 str.

Azmy S. Ackleh; Ralph Kearfott; Edward J. Allen

Opis

Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis. The text covers the main areas of introductory numerical analysis, including the solution of nonlinear equations, numerical linear algebra, ordinary differential equations, approximation theory, numerical integration, and boundary value problems. Focusing on interval computing in numerical analysis, it explains interval arithmetic, interval computation, and interval algorithms. The authors illustrate the concepts with many examples as well as analytical and computational exercises at the end of each chapter. This advanced, graduate-level introduction to the theory and methods of numerical analysis supplies the necessary background in numerical methods so that students can apply the techniques and understand the mathematical literature in this area. Although the book is independent of a specific computer program, MATLAB^(r) code is available on the authors' website to illustrate various concepts.

Recenzje

…this book provides useful background knowledge for graduate study in any area of applied mathematics … this is a thorough, well-written treatment of an important subject.

—Computing Reviews, May 2010

Spis treści

Mathematical Review and Computer Arithmetic. Numerical Solution of Nonlinear Equations of One Variable. Numerical Linear Algebra. Approximation Theory. Eigenvalue-Eigenvector Computation. Numerical Differentiation and Integration. Initial Value Problems for Ordinary Differential Equations. Numerical Solution of Systems of Nonlinear Equations. Optimization. Boundary Value Problems and Integral Equations. Appendix. References. Index.