Scientific Computing / Edition 2

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Overview

Heath 2/e, presents a broad overview of numerical methods for solving all the major problems in scientific computing, including linear and nonlinear

equations, least squares, eigenvalues, optimization, interpolation, integration, ordinary and partial differential equations, fast Fourier transforms, and random number generators. The treatment is comprehensive yet concise, software-oriented yet compatible with a variety of software packages and programming languages. The book features more than 160 examples, 500 review questions, 240 exercises, and 200 computer problems.

Changes for the second edition include: expanded motivational discussions and examples; formal statements of all major algorithms; expanded discussions of existence, uniqueness, and conditioning for each type of problem so that students can recognize "good" and "bad" problem formulations and understand the corresponding quality of results produced; and expanded coverage of several topics, particularly eigenvalues and constrained optimization.

The book contains a wealth of material and can be used in a variety of one- or two-term courses in computer science, mathematics, or engineering. Its comprehensiveness and modern perspective, as well as the software pointers provided, also make it a highly useful reference for practicing professionals who need to solve computational problems.

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Product Details

  • ISBN-13: 9780072399103
  • Publisher: McGraw-Hill Higher Education
  • Publication date: 7/17/2001
  • Edition description: New Edition
  • Edition number: 2
  • Pages: 576
  • Product dimensions: 7.50 (w) x 9.50 (h) x 1.10 (d)

Table of Contents

Preface
Notation
1 Scientific Computing 1
2 Systems of Linear Equations 49
3 Linear Least Squares 105
4 Eigenvalue Problems 157
5 Nonlinear Equations 216
6 Optimization 256
7 Interpolation 309
8 Numerical Integration and Differentiation 339
9 Initial Value Problems for ODEs 382
10 Boundary Value Problems for ODEs 422
11 Partial Differential Equations 447
12 Fast Fourier Transform 495
13 Random Numbers and Simulation 511
Bibliography 523
Index 549
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