Combines the Rigor of a Numerical Analysis Text with the Practical Guidance of a Methods Text Numerical Analysis for Applied Science is a graduate-level text suitable for both scientists and engineers as well as applied mathematicians. Each chapter begins with the motivation and construction of the methods under discussion, moves on to practical considerations associated with their implementation, and concludes with an in-depth treatment of rigorous mathematical details. The chapter-end problem sets include both theoretical and computational exercises. The authors provide a broad selection of current numerical methods, especially those used in scientific computation involving differential equations. The text also introduces many topics often omitted in books at this level, including:
* Multidimensional interpolation
* Quasi-Newton methods
* Multigrid methods
* QR methods of eigenvalues
* Finite elements
* And many more
Suitable as a first graduate-level text for applied mathematicians, scientists, and engineers, this volume requires familiarity with a computer programming language and, ideally but not necessarily, some exposure to numerics. The volume's ten chapters cover useful tools; approximation of functions; direct methods for linear systems; solution of nonlinear equations; iterative methods for linear systems; Eigenvalue problems; numerical integration; ordinary differential equations; difference methods for PDEs; and introduction to finite elements. Annotation c. by Book News, Inc., Portland, Or.