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Graduate Introduction to numerical methods : from the viewpoint of backward error analysis / Robert M. Corless and Nicolas Fillion.

By: Contributor(s): Material type: TextTextPublication details: New York : Springer, 2013.Description: xxxix, 868 p. : illustrations ; 27 cmISBN:
  • 9781461484523 (hbk.)
Subject(s): Additional physical formats: Online version:: Graduate introduction to numerical methods.DDC classification:
  • 518 23 C799
Contents:
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.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 518 C799 (Browse shelf(Opens below)) Available 135472
Total holds: 0

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.

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.

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