A First Course on Numerical Methods - Ascher, Uri M

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Résumé :
Designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopaedic and heavily theoretical exposition, this book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques.

Biographie:
Uri Ascher is a Professor of Computer Science at the University of British Columbia in Vancouver, Canada. He has previously co-authored three other books, published by SIAM, as well as many research papers in the general area of numerical methods and their applications. He is a SIAM Fellow and a recipient of the CAIMS Research Prize. Chen Greif is an Associate Professor of Computer Science at the University of British Columbia in Vancouver, Canada. His research interests are in the field of scientific computing, with specialization in numerical linear algebra. He is currently an associate editor of the SIAM Journal on Scientific Computing.

Sommaire:
List of figures; List of tables; Preface; 1. Numerical algorithms; 2. Roundoff errors; 3. Nonlinear equations in one variable; 4. Linear algebra background; 5. Linear systems: direct methods; 6. Linear least squares problems; 7. Linear systems: iterative methods; 8. Eigenvalues and singular values; 9. Nonlinear systems and optimization; 10. Polynomial interpolation; 11. Piecewise polynomial interpolation; 12. Best approximation; 13. Fourier transform; 14. Numerical differentiation; 15. Numerical integration; 16. Differential equations; Bibliography; Index.