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Numerical Methods Algorithms and Applications

ISBN-10: 0130314005
ISBN-13: 9780130314000
Edition: 2003
List price: $117.80 Buy it from $20.80
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Description: This book present the fundamental numerical techniques used in engineering, applied mathematics, computer science, and the physical and life sciences in a manner that is both interesting and understandable.Numerical Analysis with Applications and  More...

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Book details

List price: $117.80
Copyright year: 2003
Publisher: Prentice Hall PTR
Publication date: 7/22/2002
Binding: Hardcover
Pages: 649
Size: 8.00" wide x 7.25" long x 1.25" tall
Weight: 3.146
Language: English

This book present the fundamental numerical techniques used in engineering, applied mathematics, computer science, and the physical and life sciences in a manner that is both interesting and understandable.Numerical Analysis with Applications and Algorithms includes comprehensive coverage of solving nonlinear equations of a single variable, numerical linear algebra, nonlinear functions of several variables, numerical methods for data interpolations and approximation, numerical differentiation and integration, and numerical techniques for solving differential equations. This book is useful as a reference for self study.

Foundations
Sample Problems and Numerical Methods
Some Basic Issues
Algorithms and Computer Programs
Solving Equations of One Variable
Bisection Method
Regular Falsi and Secant Methods
Newton's Method
Muller's Method
Methods of Modern Computing
Solving Systems of Linear Equations
Direct Methods
Gaussian Elimination
Gaussian Elimination with Row Pivoting
Gaussian Elimination for Tridiagonal Systems
Methods of Modern Computing
LU and QR Factorization
LU Factorization from Gaussian Elimination
Direct LU Factorization
Applications of LU Factorization
Householder and Givens Transformations
QR Factorization
Methods of Modern Computing
Eigenvalues and Eigenvectors
Power Method
Inverse Power Method
QR Method
Methods of Modern Computing
Solving Systems of Linear Equations
Iterative Methods
Jacobi Method
Gauss-Seidel Method
Successive Over Relaxation
Methods of Modern Computing
Nonlinear Functions of Several Variables
Newton's Method for Systems of Equations
Fixed-Point Iteration for Nonlinear Systems
Minimum of a Nonlinear Function of Several Variables
Methods of Modern Computing
Interpolation
Polynomial Interpolation
Hermite Interpolation
Rational-Function Interpolation
Spline Interpolation
Methods of Modern Computing
Function Approximation
Least-Squares Approximation
Continuous Least-Squares Approximation
Function Approximation at a Point
Methods of Modern Computing
Fourier Methods
Fourier Approximation and Interpolation
Radix-2 Fast Fourier Transforms
General Fast Fourier Transforms
Methods of Modern Computing
Numerical Differentiation and Integration
Differentiation
Basic Numerical Integration
Better Numerical Integration
Gaussian Quadrature
Methods of Modern Computing
Ordinary Differential Equations
Initial-Value Problems
Taylor Methods
Runge-Kutta Methods
Multistep Methods
Stability
Methods of Modern Computing
Ordinary Differential Equations
Higher-Order Equations and First-Order Systems
Higher-Order ODEs
Systems of Two First-Order ODE
Systems of First-Order ODE
Stiff ODE and Ill-conditioned Problems
Methods of Modern Computing
Ordinary Differential Equations
Boundary-Value Problems
Shooting Method for Linear BVP
Shooting Method Nonlinear BVP
Finite-Difference Method for Linear BVP
Finite-Difference Method for Nonlinear BVP
Methods of Modern Computing
Partial Differential Equations
Classification of PDE
Heat equation
Parabolic PDE
Wave equation
Hyperbolic PDE
Poisson Equation - Elliptic PDE
Finite Element Method for an Elliptic PDE
Methods of Modern Computing

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