Scientific Computing: Vol. III – Approximation and Integration

Scientific Computing: Vol. III – Approximation and Integration Front Cover
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592 pages

Book Description

This is the third of three volumes providing a comprehensive presentation of the of scientific computing. This volume discusses topics that depend more on calculus than linear , 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 , and how to select the best method for computing problems. This book also discusses in several languages, including C++, Fortran and . There are 90 examples, 200 exercises, 36 algorithms, 40 interactive 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 used for 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.

Table of Contents

Chapter 1 Interpolation And Approximation
Chapter 2 Differentiation And Integration
Chapter 3 Initial Value Problems
Chapter 4 Boundary Value Problems

Book Details

  • Title: Scientific Computing: Vol. III – Approximation and Integration
  • Author:
  • Length: 592 pages
  • Edition: 1st ed. 2017
  • Language: English
  • Publisher:
  • Publication Date: 2018-04-27
  • ISBN-10: 3319691090
  • ISBN-13: 9783319691091
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