Numerical Analysis: An Introduction

Timo Heister; Leo G. Rebholz; Fei Xue

Published by De Gruyter 2019

Numerical Analysis

An Introduction

Timo Heister , Leo G. Rebholz and Fei Xue

In the series De Gruyter Textbook

https://doi.org/10.1515/9783110573329

Overview
Contents

About this book

Numerical analysis deals with the development and analysis of algorithms for scientific computing, and is in itself a very important part of mathematics, which has become more and more prevalent across the mathematical spectrum. This book is an introduction to numerical methods for solving linear and nonlinear systems of equations as well as ordinary and partial differential equations, and for approximating curves, functions, and integrals.

A compact and concise introduction to numerical analysis
Covers a wealth of material, from computer arithmetic to the solution of ODE's and PDE's
Ideal for students and lecturers in mathematics, physics, and engineering

Author / Editor information

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

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	VII
Software Publicly Available Download PDF	IX
Acknowledgment Publicly Available Download PDF	XI
Support Publicly Available Download PDF	XIII
Contents Publicly Available Download PDF	XV
1. Computer representation of numbers and roundoff error Requires Authentication Unlicensed Licensed Download PDF	1
2. Solving linear systems of equations Requires Authentication Unlicensed Licensed Download PDF	13
3. Least squares problems Requires Authentication Unlicensed Licensed Download PDF	41
4. Finite difference methods Requires Authentication Unlicensed Licensed Download PDF	53
5. Solving nonlinear equations Requires Authentication Unlicensed Licensed Download PDF	71
6. Eigenvalues and eigenvectors Requires Authentication Unlicensed Licensed Download PDF	93
7. Interpolation Requires Authentication Unlicensed Licensed Download PDF	105
8. Numerical integration Requires Authentication Unlicensed Licensed Download PDF	121
9. Initial value problems Requires Authentication Unlicensed Licensed Download PDF	141
10. Partial differential equations Requires Authentication Unlicensed Licensed Download PDF	159
Index Requires Authentication Unlicensed Licensed Download PDF	173

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Students and lecturers in applied and numerical mathematics, physics, and engineering.
Pages
- Front matter: 18
- Main content: 175
Illustrations
- Illustrations: 6
- Coloured Illustrations: 26
- Tables: 30
Keywords: Finite-Differenzen-Methode; MATLAB; Numerische Mathematik

eBook

Published: March 18, 2019
ISBN: 9783110573329

Paperback

Published: March 18, 2019
ISBN: 9783110573305