Titre : |
A Graduate Introduction to Numerical Methods : From the Viewpoint of Backward Error Analysis |
Type de document : |
texte imprimé |
Auteurs : |
Robert M. CORLESS ; Nicolas FILLION |
Editeur : |
Springer Verlag |
Année de publication : |
2013 |
Importance : |
869 p. |
ISBN/ISSN/EAN : |
978-1-4614-8452-3 |
Note générale : |
Foreword
Preface
Acknowledgments
Contents
Appendices
Index
List of Figures
List of Tables
|
Catégories : |
Algèbre linéaire Analyse numérique Calcul d'erreur Equations différentielles
|
Index. décimale : |
518 Analyse numérique |
Résumé : |
PRELIMINARIES
Computer Arithmetic and Fundamental Concepts of Computation
Polynomials and Series
Rootfinding and Function Evaluation
NUMERICAL LINEAR ALGEBRA
Solving Ax=b
Solving Ax= λx
Structured Linear Systems
Iterative Mthods
INTERPOLATION, DIFFERENTIATION, AND QUADRATURE
Polynomial and Rational Interpolation
The Discrete Fourier Transform
Numerical Integration
Numerical Differentiation and Finite Differences
DIFFERENTIAL EQUATIONS
Numerical Solution of ODEs
Numerical Methods for ODEs
Numerical Solutions of Boundary Value Problems
Numerical Solution of Delay DEs
Numerical Solution of PDEs
AFTERWORD
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