Scientific Computing: For Scientists and Engineers

Timo Heister; Leo G. Rebholz

Published by De Gruyter 2015

Scientific Computing

For Scientists and Engineers

Timo Heister and Leo G. Rebholz

In the series De Gruyter Textbook

https://doi.org/10.1515/9783110359428

Overview
Contents

About this book

Scientific Computing for Scientists and Engineers is designed to teach undergraduate students relevant numerical methods and required fundamentals in scientific computing.

Most problems in science and engineering require the solution of mathematical problems, most of which can only be done on a computer. Accurately approximating those problems requires solving differential equations and linear systems with millions of unknowns, and smart algorithms can be used on computers to reduce calculation times from years to minutes or even seconds. This book explains: How can we approximate these important mathematical processes? How accurate are our approximations? How efficient are our approximations?

Scientific Computing for Scientists and Engineers covers:

An introduction to a wide range of numerical methods for linear systems, eigenvalue problems, differential equations, numerical integration, and nonlinear problems;
Scientific computing fundamentals like floating point representation of numbers and convergence;
Analysis of accuracy and efficiency;
Simple programming examples in MATLAB to illustrate the algorithms and to solve real life problems;
Exercises to reinforce all topics.

Introduction to basic numerical methods.
Analysis of accuracy and efficiency.
Implementation to solve real life problems.

Author / Editor information

Timo Heister and Leo G. Rebholz, Clemson University, USA.

Topics

Frontmatter Publicly Available Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	vii
Contents Publicly Available Download PDF	ix
1. Introduction Requires Authentication Unlicensed Licensed Download PDF	1
2. Computer representation of numbers and roundoff error Requires Authentication Unlicensed Licensed Download PDF	7
3. Solving linear systems of equations Requires Authentication Unlicensed Licensed Download PDF	17
4. Finite difference methods Requires Authentication Unlicensed Licensed Download PDF	28
5. Solving nonlinear equations Requires Authentication Unlicensed Licensed Download PDF	46
6. Accuracy in solving linear systems Requires Authentication Unlicensed Licensed Download PDF	61
7. Eigenvalues and eigenvectors Requires Authentication Unlicensed Licensed Download PDF	69
8. Fitting curves to data Requires Authentication Unlicensed Licensed Download PDF	77
9. Numerical integration Requires Authentication Unlicensed Licensed Download PDF	91
10. Initial value ODEs Requires Authentication Unlicensed Licensed Download PDF	104
A. Getting started with Octave and MATLAB Requires Authentication Unlicensed Licensed Download PDF	123

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Students in mathematics, sciences and engineering, lecturers, academic libaries.
Pages
- Front matter: 11
- Main content: 138
Keywords: Wissenschaftliches Rechnen

eBook

Published: May 19, 2015
ISBN: 9783110359428