717 pages, 38 colour & 115 b/w illustrations
This new book from the authors of the classic book Numerical Methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although Numerical Methods in Scientific Computing, Volume 1 is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume.
A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB(r) multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.
"This work is a monumental undertaking and represents the most comprehensive textbook survey of numerical analysis to date. It will be an important reference in the field for many years to come."
– Nicholas J. Higham, University of Manchester
List of figures
List of tables
List of conventions
1. Principles of numerical calculations
2. How to obtain and estimate accuracy
3. Series, operators and continued fractions
4. Interpolation and approximation
5. Numerical integration
6. Solving scalar nonlinear equations
Online appendix A. Introduction to matrix computations
Online appendix B. A MATLAB multiple precision package
Online appendix C. Guide to literature
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Germund Dahlquist (1925-2005) founded the Department of Numerical Analysis at the Royal Institute of Technology in Stockholm, Sweden, in 1962. He was a pioneer in the field of numerical analysis, whose fundamental work on the solution of differential equations has been recognised by the International Germund Dahlquist Prize, awarded biennially by SIAM since 1995.
Åke Björck is a professor in the Department of Mathematics at Linkoping University in Sweden.