TY  - BOOK
AU  - Corless,Robert M.
AU  - Fillion,Nicolas
TI  - Graduate Introduction to numerical methods: from the viewpoint of backward error analysis 
SN  - 9781461484523 (hbk.)
U1  - 518 23
PY  - 2013///
CY  - New York
PB  - Springer
KW  - Numerical analysis
KW  - Error analysis (Mathematics)
KW  - Mathematics
KW  - Methodology
KW  - Study and teaching (Graduate)
N1  - Includes bibliographical references (pages 833-856) and index; Part I Preliminaries
1. Computer Arithmetic & Fundamental Concepts of Computation --
2. Polynomials and Series --
3. Rootfinding and Function Evaluation --

Part II Numerical linear algebra
4. Solving Ax = b--
5. Solving Ax =l x --
6. Structured Linear Systems--
7. Iterative Methods --

Part III interpolation, differentiation, and quadrature
8. Polynomial and Rational Interpolation --
9. The Discrete Fourier Transform --
10. Numerical Integration --
11. Numerical Differentiation and Finite Differences --

Part IV differential eqations
12. Numerical Solution of ODEs --
13. Numerical Methods for ODEs.- 
14. Numerical Solutions of Boundary Value Problems --
15. Numerical Solution of Delay DEs --
16. Numerical Solution of PDEs--

Part V Afterword--
Part VI Appendices--
References--
Index
N2  - This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized.
ER  -