Applied Numerical Analysis

ISBN-10: 0321133048

ISBN-13: 9780321133045

Edition: 7th 2004 (Revised)

Authors: Curtis F. Gerald, Patrick O. Wheatley

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Book details

List price: $103.00
Edition: 7th
Copyright year: 2004
Publisher: Addison Wesley
Publication date: 7/31/2003
Binding: Paperback
Pages: 624
Size: 7.75" wide x 9.25" long x 1.00" tall
Weight: 2.530
Language: English

Analysis versus Numerical Analysis
Computers and Numerical Analysis
An Illustrative Example
Kinds of Errors in Numerical Procedures
Interval Arithmetic
Parallel and Distributed Computing
Measuring the Efficiency of Procedures
Solving Nonlinear Equations
Interval Halving (Bisection)
Linear Interpolation Methods
Newton's Method
Muller's Method
Fixed-Point Iteration
Other Methods
Nonlinear Systems
Solving Sets of Equations
Matrices and Vectors
Elimination Methods
The Inverse of a Matrix and Matrix Pathology
Almost Singular Matrices - Condition Numbers
Interactive Methods
Parallel Processing
Interpolation and Curve Fitting
Interpolating Polynomials
Divided Differences
Spline Curves
Bezier Curves and B-Splines
Interpolating on a Surface
Least Squares Approximations
Approximation of Functions
Chebyshev Polynomials and Chebyshev Series
Rational Function Approximations
Fourier Series
Numerical Differentiation and Integration
Differentiation with a Computer
Numerical Integration - The Trapezoidal Rule
Simpson's Rules
An Application of Numerical Integration - Fourier Series and Fourier Transforms Adaptive Integration
Gaussian Quadrature
Multiple Integrals
Applications of Cubic Splines
Numerical Solution of Ordinary Differential Equations
The Taylor Series Method
The Euler Method and Its Modification
Runge-Kutta Methods
Multistep Methods
Higher-Order Equations and Systems
Stiff Equations
Boundary-Value Problems
Characteristic-Value Problems
Finding the Minimum of y = f(x)
Minimizing a Function of Several Variables
Linear Programming
Nonlinear Programming
Other Optimizations
Partial Differential Equations
Elliptic Equations
Parabolic Equations
Hyperbolic Equations
Finite Element Analysis
Mathematical Background
Finite Elements for Ordinary Differential Equation
Finite Elements for Partial Differential Equation
Some Basic Information from Calculus
Software Resources
Answers to Selected Exercises
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