Numerical Methods in Scientific Computing

Volume 1

Germund Dahlquist, Åke Björck (Autoren)

Buch | Hardcover

744 Seiten

2008
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-644-3 (ISBN)

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Addresses the increasingly-important role of numerical methods in science and engineering. While treating traditional and well-developed topics, it also emphasizes concepts and ideas of importance to the design of accurate and efficient algorithms with applications to scientific computing. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume.

Numerical Methods in Scientific Computing, Volume I enriches the traditional content of interpolation, approximation, Fourier analysis, quadrature, and root-finding with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. The authors also include review questions, problems, and computer exercises drawn from 40 years of teaching. More than 60 short biographical notes on mathematicians who have made significant contributions to numerical analysis illustrate the connections that pervade the discipline.

A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB® multiple precision package; and a guide to literature, algorithms, and software in numerical analysis.

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 Linköping University in Sweden.

List of Figures
List of Tables
List of Conventions
Preface
Chapter 1: Principles of Numerical Calculations
Chapter 2: How to Obtain and Estimate Accuracy
Chapter 3: Series, Operators, and Continued Fractions
Chapter 4: Interpolation and Approximation
Chapter 5: Numerical Integration
Chapter 6: Solving Scalar Nonlinear Equations
Bibliography
Index
Online Appendix A: Introduction to Matrix Computations
Online Appendix B: A MATLAB Multiple Precision Package
Online Appendix C: Guide to Literature.

Erscheint lt. Verlag	4.9.2008
Verlagsort	New York
Sprache	englisch
Maße	185 x 259 mm
Gewicht	1458 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-89871-644-6 / 0898716446
ISBN-13	978-0-89871-644-3 / 9780898716443
Zustand	Neuware