Overview
Focuses on the methods and algorithms of computation
Addresses concrete applications in science and engineering
Includes plenty of illustrated examples, with separate index table for quick access
Includes supplementary material: sn.pub/extras
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Table of contents (9 chapters)
Keywords
About this book
This book presents numerical and other approximation techniques for solving various types of mathematical problems that cannot be solved analytically. In addition to well known methods, it contains some non-standard approximation techniques that are now formally collected as well as original methods developed by the author that do not appear in the literature.
This book contains an extensive treatment of approximate solutions to various types of integral equations, a topic that is not often discussed in detail. There are detailed analyses of ordinary and partial differential equations and descriptions of methods for estimating the values of integrals that are presented in a level of detail that will suggest techniques that will be useful for developing methods for approximating solutions to problems outside of this text.
The book is intended for researchers who must approximate solutions to problems that cannot be solved analytically. It is also appropriate for students taking courses in numerical approximation techniques.
Reviews
From the reviews:
“This book is appropriate as a text for a course in computational methods as well as a reference for researchers who need such methods in their work. This book presents numerical approximation techniques for solving various types of mathematical problems that cannot be solved analytically. … This text also contains original methods developed by the author. Examples are used extensively to illustrate the theory.” (Michael M. Pahirya, Zentralblatt MATH, Vol. 1228, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Numerical Approximation Methods
Book Subtitle: π ≈ 355/113
Authors: Harold Cohen
DOI: https://doi.org/10.1007/978-1-4419-9837-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4419-9836-1Published: 28 September 2011
Softcover ISBN: 978-1-4899-9159-1Published: 01 October 2014
eBook ISBN: 978-1-4419-9837-8Published: 10 December 2011
Edition Number: 1
Number of Pages: XIII, 485
Topics: Computational Mathematics and Numerical Analysis, Numerical and Computational Physics, Simulation, Mathematical and Computational Engineering