9780072431933

Numerical Methods for Engineers : With Software and Programming Applications

by ;
  • ISBN13:

    9780072431933

  • ISBN10:

    0072431938

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 2001-07-16
  • Publisher: McGraw-Hill Science/Engineering/Math

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Supplemental Materials

What is included with this book?

Summary

*Retaining its comprehensive yet accessible and user-friendly style, this edition incorporates new examples and techniques*Includes excellent applications sections with a variety of engineering problems*contains software-based examples and engineering-oriented problems

Table of Contents

Part 1 Modeling, Computers, and Error Analysis

1 Mathematical Modeling and Engineering Problem Solving

2 Programming and Software

3 Approximations and Round-Off Errors

4 Truncation Errors and the Taylor Series

Part 2 Roots of Equations

5 Bracketing Methods

6 Open Methods8 Engineering Applications: Roots of Equations

Part 3 Linear Algebraic Equations

9 Gauss Elimination

10 LU Decomposition and Matrix Inversion

11 Special Matrices and Gauss-Seidel

12 Engineering Applications: Linear Algebraic Equations

Part 4 Optimization

13 One-Dimensional Unconstrained Optimization

14 Multidimensional Unconstrained Optimization

15 Constrained Optimization

16 Engineering Applications: Optimization

Part 5 Curve Fitting

17 Least-Squares Regression

18 Interpolation

19 Fourier Approximation

20 Engineering Applications: Curve Fitting

Part 6 Numerical Differentiation and Integration

21 Newton-Cotes Integration Formulas

22 Integration of Equations

23 Numerical Differentiation

24 Engineering Applications: Numerical Integration and Differentiation

Part 7 Ordinary Differential Equations

25 Runge-Kutta Methods

26 Stiffness and Multistep Methods

27 Boundary-Value and Eigenvalue Problems

28 Engineering Applications: Ordinary Differential Equations

Part 8 Partial Differential Equations

29 Finite Difference: Elliptic Equations

30 Finite Difference: Parabolic Equations

31 Finite-Element Method

32 Engineering Applications: Partial Differential Equations

Appendix A The Fourier Series

Appendix B Getting Started with Matlab

Bibliography

Index

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