Overview
- 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
Part of the book series: Texts in Computational Science and Engineering (TCSE, volume 20)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Scientific Computing
Book Subtitle: Vol. III - Approximation and Integration
Authors: John A. Trangenstein
Series Title: Texts in Computational Science and Engineering
DOI: https://doi.org/10.1007/978-3-319-69110-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, a part of Springer Nature 2017
Hardcover ISBN: 978-3-319-69109-1Published: 24 May 2018
Softcover ISBN: 978-3-030-09872-8Published: 09 December 2018
eBook ISBN: 978-3-319-69110-7Published: 14 May 2018
Series ISSN: 1611-0994
Series E-ISSN: 2197-179X
Edition Number: 1
Number of Pages: XXV, 592
Number of Illustrations: 2 b/w illustrations, 40 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Ordinary Differential Equations, Optimization