Scientific Computing
Vol. III - Approximation and Integration
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Beschreibung
This is the third of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses topics that depend more on calculus than linear algebra, in order to prepare the reader for solving differential equations. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 90 examples, 200 exercises, 36 algorithms, 40 interactive JavaScript programs, 91 references to software programs and 1 case study.
Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in GSLIB and MATLAB.This book could be usedfor a second course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as nonlinear optimization or iterative linear algebra.
Interactive HTML version uses 40 JavaScript programs for reader experimentation with algorithms
Combines analysis of well-posedness for scientific computing problems with perturbation analysis of related algorithms
Discusses the algorithms actually used by trusted software packages such as MATLAB, LAPACK and GSLIB
Interactive HTML version uses 40 JavaScript programs for reader experimentation with algorithms Combines analysis of well-posedness for scientific computing problems with perturbation analysis of related algorithms Discusses the algorithms actually used by trusted software packages such as MATLAB, LAPACK and GSLIB
Autor*in
John A. Trangenstein
Themen in »Scientific Computing«
algorithm approximation convergence differentiation efficiency error extrapolation integration interpolation ordinary differential equations