1st Edition

A Numerical Library in Java for Scientists and Engineers




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ISBN 9781584884309
Published August 27, 2003 by Chapman and Hall/CRC
1088 Pages

USD $220.00

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Book Description

At last researchers have an inexpensive library of Java-based numeric procedures for use in scientific computation. The first and only book of its kind, A Numeric Library in Java for Scientists and Engineers is a translation into Java of the library NUMAL (NUMerical procedures in ALgol 60).

This groundbreaking text presents procedural descriptions for linear algebra, ordinary and partial differential equations, optimization, parameter estimation, mathematical physics, and other tools that are indispensable to any dynamic research group.

The book offers test programs that allow researchers to execute the examples provided; users are free to construct their own tests and apply the numeric procedures to them in order to observe a successful computation or simulate failure. The entry for each procedure is logically presented, with name, usage parameters, and Java code included.

This handbook serves as a powerful research tool, enabling the performance of critical computations in Java. It stands as a cost-efficient alternative to expensive commercial software package of procedural components.

Table of Contents

INTRODUCTION
ELEMENTARY PROCEDURES
Real Vector and Matrix - Initialization
Real Vector and Matrix - Duplication
Real Vector and Matrix - Multiplication
Real Vector Vector Products
Real Matrix Vector Products
Real Matrix Matrix Products
Real Vector and Matrix - Elimination
Real Vector and Matrix - Interchanging
Real Vector and Matrix - Rotation
Real Vector and Matrix - Norms
Real Vector and Matrix - Scaling
Complex Vector and Matrix - Multiplication
Complex Vector and Matrix - Scalar Products
Complex Vector and Matrix - Elimination
Complex Vector and Matrix - Rotation
Complex Vector and Matrix - Norms
Complex Vector and Matrix - Scaling
Complex Monadic Operations
Complex Dyadic Operations
Long Integer Arithmetic
ALGEBRAIC EVALUATIONS
Evaluation of Polynomials in Grunert Form
Evaluation of General Orthogonal Polynomials
Evaluation of Chebyshev Polynomials
Evaluation of Fourier Series
Evaluation of Continued Fractions
Transformation of Polynomial Representation
Operations on Orthogonal Polynomials
LINEAR ALGEBRA
Full Real General Matrices
Real Symmetric Positive Definite Matrices
General Real Symmetric Matrices
Real Full Rank Overdetermined Systems
Other Real Matrix Problems
Real Sparse Non-Symmetric Band Matrices
Real Sparse Non-Symmetric Tridiagonal Matrices
Sparse Symmetric Positive Definite Band Matrices
Symmetric Positive Definite Tridiagonal Matrices
Sparse Real Matrices - Iterative Methods
Similarity Transformation
Other Transformations
The (Ordinary) Eigenvalue Problem
The Generalized Eigenvalue Problem
Singular Values
Zeros of Polynomials
ANALYTIC EVALUATIONS
Evaluation of an Infinite Series
Quadrature
Numerical Differentiation
ANALYTIC PROBLEMS
Nonlinear Equations
Unconstrained Optimization
Overdetermined Nonlinear Systems
Differential Equations - Initial Value Problems
Two Point Boundary Value Problems
Two-Dimensional Boundary Value Problems
Parameter estimation in differential equations
SPECIAL FUNCTIONS
Elementary Functions
Exponential Integral
Gamma Function
Error Function
Bessel Functions of Integer Order
Bessel Functions of Real Order
INTERPOLATION AND APPROXIMATION
Real Data in One Dimension
ADDENDA
Fast Fourier Transforms
Time Series Analysis
WORKED EXAMPLES
Examples for Chapter 1 Procedures
Examples for Chapter 2 Procedures
Examples for Chapter 3 Procedures
Examples for Chapter 4 Procedures
Examples for Chapter 5 Procedures
Examples for Chapter 6 Procedures
Examples for Chapter 7 procedures
APPENDIX A: REFERENCES
APPENDIX B: PROCEDURES DESCRIPTION
INDEX OF PROCEDURES

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