Numerical Methods in Scientific Computing: Volume 1 - Germund Dahlquist

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Résumé :
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....

Biographie:
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. Ake Bjorck is a professor in the Department of Mathematics at Linkoping University in Sweden.

Sommaire:

• 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.
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