Numerical Analysis: An Introduction

✍ Scribed by Timo Heister, Leo G. Rebholz, Fei Xue

• Publisher: De Gruyter
• Year: 2019
• Tongue: English
• Leaves: 196
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Cover......Page 1
Numerical
Analysis: An Introduction
......Page 5
© 2019......Page 6
Dedication......Page 7
Preface......Page 9
Software......Page 11
Acknowledgment......Page 13
Support......Page 15
Contents
......Page 17
1 Computer representation of numbers and
roundoff error......Page 21
2 Solving linear systems of equations......Page 33
3 Least squares problems......Page 61
4 Finite difference methods......Page 73
5 Solving nonlinear equations......Page 91
6 Eigenvalues and eigenvectors......Page 113
7 Interpolation......Page 125
8 Numerical integration......Page 141
9 Initial value problems......Page 161
10 Partial differential equations......Page 179
Index......Page 193