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This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material.
List of contents
What can t be ignored.- Nonlinear equations.- Approximation of functions and data.- Numerical differentiation and integration.- Linear systems.- Eigenvalues and eigenvectors.- Ordinary differential equations.- Numerical approximation of boundary-value problems.- Solutions of the exercises.
Report
From the reviews of the third edition: This carefully written textbook is the third English edition and contains substantial new developments on the numerical solution of differential equations. it is written in a style that is suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject. (Robert Plato, Zentralblatt MATH, Vol. 1205, 2011)
