Introduction to Numerical Analysis

David Mayers, Endre Süli

434 pages, parution le 12/08/2003

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Résumé

Numerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science. Based on a successful course at Oxford University, this book covers a wide range of such problems ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations. Throughout the book, particular attention is paid to the essential qualities of a numerical algorithm - stability, accuracy, reliability and efficiency.

The authors go further than simply providing recipes for solving computational problems. They carefully analyse the reasons why methods might fail to give accurate answers, or why one method might return an answer in seconds while another would take billions of years. This book is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour.

Solution of equations by iteration
Solution of systems of linear equations
Special matrices
Simultaneous nonlinear equations
Eigenvalues and eigenvectors of a symmetric matrix
Polynomial interpolation
Numerical integration - I
Polynomial approximation in the 00-norm
Approximation in the oo-norm
Numerical integration - II
Piecewise polynomial approximation
Initial Value Problems for ODEs
Boundary Value Problems for ODEs
1 The Finite Element Method
Appendix 1 An overview of results from real analysis
Appendix 2 WWW-resources

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	David Mayers, Endre Süli
Parution	12/08/2003
Nb. de pages	434
Format	15 x 23
Couverture	Broché
Poids	725g
Intérieur	Noir et Blanc
EAN13	9780521007948
ISBN13	978-0-521-00794-8