Ship-Ship-Hooray! Free Shipping on $25+ Details >

by Brian Bradie

Cover type: HardbackEdition: 06

Copyright: 2006

Publisher: Prentice Hall, Inc.

Published: 2006

International: No

List price: $118.00

Happy you, happy us. You get 24-hour turnaround. Free shipping on $25+, and dedicated customer service. Cue the smiley faces.

FREE Shipping on $25+

Order $25 or more and the shipping's on us. Marketplace items and other exclusions apply.

Ships Today!

Order by noon CST (Mon-Fri, excluding holidays). Some restrictions apply.

Easy 30-Day Returns

Not the right book for you? We accept returns within 30 days of purchase. Access codes are non-refundable once revealed or redeemed.

Ships directly from us

SELL THIS BOOK NOW

Get $6.50 CASH!

Get $6.50 CASH!

List price: $118.00

All of our used books are 100% hand-inspected and guaranteed! Happy you, happy us.

FREE Shipping on $25+

Order $25 or more and the shipping's on us. Marketplace items and other exclusions apply.

Ships Today!

Order by noon CST (Mon-Fri, excluding holidays). Some restrictions apply.

Easy 30-Day Returns
Not the right book for you? We accept returns within 30 days of purchase. Access codes are non-refundable once revealed or redeemed.

Ships directly from us

SELL THIS BOOK NOW

Get $6.50 CASH!

Get $6.50 CASH!

You Save $43.65 (37%)

$74.35

Condition: Very Good
**100% Satisfaction Guarantee**

We hand-inspect every one of our used books.

We hand-inspect every one of our used books.

Well, that's no good. Unfortunately, this edition is currently out of stock. Please check back soon.

Also available in the Marketplace starting at $64.60

Price | Condition | Seller | Comments |
---|

This student-friendly text develops concepts and techniques in a clear, concise, easy-to-read manner, followed by fully-worked examples. Application problems drawn from the literature of many different fields prepares students to use the techniques covered to solve a wide variety of practical problems.

**1. Getting Started. **

Algorithms. Convergence. Floating Point Numbers. Floating Point Arithmetic.

**2. Rootfinding. **

Bisection Method. Method of False Position. Fixed Point Iteration. Newton's Method. The Secant Method and Muller's Method. Accelerating Convergence. Roots of Polynomials.

**3. Systems of Equations. **

Gaussian Elimination. Pivoting Strategies. Norms. Error Estimates. LU Decomposition. Direct Factorization. Special Matrices. Iterative Techniques for Linear Systems: Basic Concepts and Methods. Iterative Techniques for Linear Systems: Conjugate-Gradient Method. Nonlinear Systems.

**4. Eigenvalues and Eigenvectors. **

The Power Method. The Inverse Power Method. Deflation. Reduction to Tridiagonal Form. Eigenvalues of Tridiagonal and Hessenberg Matrices.

**5. Interpolation and Curve Fitting. **

Lagrange Form of the Interpolating Polynomial. Neville's Algorithm. The Newton Form of the Interpolating Polynomial and Divided Differences. Optimal Interpolating Points. Piecewise Linear Interpolation. Hermite and Hermite Cubic Interpolation. Regression.

**6. Numerical Differentiation and Integration. **

Continuous Theory and Key Numerical Concepts. Euler's Method. Higher-Order One-Step Methods. Multistep Methods. Convergence Analysis. Error Control and Variable Step Size Algorithms. Systems of Equations and Higher-Order Equations. Absolute Stability and Stiff Equations.

**7. Numerical Methods for Initial Value Problems of Ordinary Differential Equations. **

Continuous Theory and Key Numerical Concepts. Euler's Method. Higher-Order One-Step Methods. Multistep Methods. Convergence Analysis. Error Control and Variable Step Size Algorithms. Systems of Equations and Higher-Order Equations. Absolute Stability and Stiff Equations.

**8. Second-Order One-Dimensional Two-Point Boundary Value Problems. **

Finite Difference Method, Part I: The Linear Problem with Dirichlet Boundary Conditions. Finite Difference Method, Part II: The Linear Problem with Non-Dirichlet Boundary Conditions. Finite Difference Method, Part III: Nonlinear Problems. The Shooting Method, Part I: Linear Boundary Value Problems. The Shooting Method, Part II: Nonlinear Boundary Value Problems.

**9. Finite Difference Method for Elliptic Partial Differential Equations. **

The Poisson Equation on a Rectangular Domain, I: Dirichlet Boundary Conditions. The Poisson Equation on a Rectangular Domain, II: Non-Dirichlet Boundary Conditions. Solving the Discrete Equations: Relaxation Schemes. Local Mode Analysis of Relaxation and the Multigrid Method. Irregular Domains.

**10. Finite Difference Method for Parabolic Partial Differential Equations. **

The Heat Equation with Dirichlet Boundary Conditions. Stability. More General Parabolic Equations. Non-Dirichlet Boundary Conditions. Polar Coordinates. Problems in Two Space Dimensions.

**11. Finite Difference Method for Hyperbolic Partial Differential Equations and the Convection-Diffusion Equation. **

Advection Equation, I: Upwind Differencing. Advection Equation, II: MacCormack Method. Convection-Diffusion Equation. The Wave Equation.

shop us with confidence

Summary

This student-friendly text develops concepts and techniques in a clear, concise, easy-to-read manner, followed by fully-worked examples. Application problems drawn from the literature of many different fields prepares students to use the techniques covered to solve a wide variety of practical problems.

Table of Contents
Continuous Theory and Key Numerical Concepts. Euler's Method. Higher-Order One-Step Methods. Multistep Methods. Convergence Analysis. Error Control and Variable Step Size Algorithms. Systems of Equations and Higher-Order Equations. Absolute Stability and Stiff Equations.

**1. Getting Started. **

Algorithms. Convergence. Floating Point Numbers. Floating Point Arithmetic.

**2. Rootfinding. **

Bisection Method. Method of False Position. Fixed Point Iteration. Newton's Method. The Secant Method and Muller's Method. Accelerating Convergence. Roots of Polynomials.

**3. Systems of Equations. **

Gaussian Elimination. Pivoting Strategies. Norms. Error Estimates. LU Decomposition. Direct Factorization. Special Matrices. Iterative Techniques for Linear Systems: Basic Concepts and Methods. Iterative Techniques for Linear Systems: Conjugate-Gradient Method. Nonlinear Systems.

**4. Eigenvalues and Eigenvectors. **

The Power Method. The Inverse Power Method. Deflation. Reduction to Tridiagonal Form. Eigenvalues of Tridiagonal and Hessenberg Matrices.

**5. Interpolation and Curve Fitting. **

Lagrange Form of the Interpolating Polynomial. Neville's Algorithm. The Newton Form of the Interpolating Polynomial and Divided Differences. Optimal Interpolating Points. Piecewise Linear Interpolation. Hermite and Hermite Cubic Interpolation. Regression.

**6. Numerical Differentiation and Integration. **

Continuous Theory and Key Numerical Concepts. Euler's Method. Higher-Order One-Step Methods. Multistep Methods. Convergence Analysis. Error Control and Variable Step Size Algorithms. Systems of Equations and Higher-Order Equations. Absolute Stability and Stiff Equations.

**7. Numerical Methods for Initial Value Problems of Ordinary Differential Equations. **

**8. Second-Order One-Dimensional Two-Point Boundary Value Problems. **

Finite Difference Method, Part I: The Linear Problem with Dirichlet Boundary Conditions. Finite Difference Method, Part II: The Linear Problem with Non-Dirichlet Boundary Conditions. Finite Difference Method, Part III: Nonlinear Problems. The Shooting Method, Part I: Linear Boundary Value Problems. The Shooting Method, Part II: Nonlinear Boundary Value Problems.

**9. Finite Difference Method for Elliptic Partial Differential Equations. **

The Poisson Equation on a Rectangular Domain, I: Dirichlet Boundary Conditions. The Poisson Equation on a Rectangular Domain, II: Non-Dirichlet Boundary Conditions. Solving the Discrete Equations: Relaxation Schemes. Local Mode Analysis of Relaxation and the Multigrid Method. Irregular Domains.

**10. Finite Difference Method for Parabolic Partial Differential Equations. **

The Heat Equation with Dirichlet Boundary Conditions. Stability. More General Parabolic Equations. Non-Dirichlet Boundary Conditions. Polar Coordinates. Problems in Two Space Dimensions.

**11. Finite Difference Method for Hyperbolic Partial Differential Equations and the Convection-Diffusion Equation. **

Advection Equation, I: Upwind Differencing. Advection Equation, II: MacCormack Method. Convection-Diffusion Equation. The Wave Equation.

Publisher Info

Publisher: Prentice Hall, Inc.

Published: 2006

International: No

Published: 2006

International: No

**1. Getting Started. **

Algorithms. Convergence. Floating Point Numbers. Floating Point Arithmetic.

**2. Rootfinding. **

Bisection Method. Method of False Position. Fixed Point Iteration. Newton's Method. The Secant Method and Muller's Method. Accelerating Convergence. Roots of Polynomials.

**3. Systems of Equations. **

Gaussian Elimination. Pivoting Strategies. Norms. Error Estimates. LU Decomposition. Direct Factorization. Special Matrices. Iterative Techniques for Linear Systems: Basic Concepts and Methods. Iterative Techniques for Linear Systems: Conjugate-Gradient Method. Nonlinear Systems.

**4. Eigenvalues and Eigenvectors. **

The Power Method. The Inverse Power Method. Deflation. Reduction to Tridiagonal Form. Eigenvalues of Tridiagonal and Hessenberg Matrices.

**5. Interpolation and Curve Fitting. **

Lagrange Form of the Interpolating Polynomial. Neville's Algorithm. The Newton Form of the Interpolating Polynomial and Divided Differences. Optimal Interpolating Points. Piecewise Linear Interpolation. Hermite and Hermite Cubic Interpolation. Regression.

**6. Numerical Differentiation and Integration. **

**7. Numerical Methods for Initial Value Problems of Ordinary Differential Equations. **

**8. Second-Order One-Dimensional Two-Point Boundary Value Problems. **

Finite Difference Method, Part I: The Linear Problem with Dirichlet Boundary Conditions. Finite Difference Method, Part II: The Linear Problem with Non-Dirichlet Boundary Conditions. Finite Difference Method, Part III: Nonlinear Problems. The Shooting Method, Part I: Linear Boundary Value Problems. The Shooting Method, Part II: Nonlinear Boundary Value Problems.

**9. Finite Difference Method for Elliptic Partial Differential Equations. **

The Poisson Equation on a Rectangular Domain, I: Dirichlet Boundary Conditions. The Poisson Equation on a Rectangular Domain, II: Non-Dirichlet Boundary Conditions. Solving the Discrete Equations: Relaxation Schemes. Local Mode Analysis of Relaxation and the Multigrid Method. Irregular Domains.

**10. Finite Difference Method for Parabolic Partial Differential Equations. **

The Heat Equation with Dirichlet Boundary Conditions. Stability. More General Parabolic Equations. Non-Dirichlet Boundary Conditions. Polar Coordinates. Problems in Two Space Dimensions.

**11. Finite Difference Method for Hyperbolic Partial Differential Equations and the Convection-Diffusion Equation. **

Advection Equation, I: Upwind Differencing. Advection Equation, II: MacCormack Method. Convection-Diffusion Equation. The Wave Equation.