A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
Robert M. Corless, University of Western Ontario;
Nicolas Fillion, Simon Fraser University
Springer International Publishing, 2013
ISBN: 978-1-4614-8452-3;
Language: English
Written for students and researchers, A Graduate Introduction to Numerical Methods provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials, and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT, and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations, and a brief chapter on partial differential equations.
MATLAB is used to solve examples in the book.
