A Numerical Library in Java for Scientists and Engineers

ISBN-13: 9781584884309 / Angielski / Twarda / 2003 / 1088 str.

H. T. Lau; Hang T. Lau; Lau T. Lau

Opis

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.

Spis treści

INTRODUCTIONELEMENTARY PROCEDURESReal Vector and Matrix - Initialization Real Vector and Matrix - Duplication Real Vector and Matrix - MultiplicationReal Vector Vector ProductsReal Matrix Vector ProductsReal Matrix Matrix ProductsReal Vector and Matrix - EliminationReal Vector and Matrix - InterchangingReal Vector and Matrix - Rotation Real Vector and Matrix - NormsReal Vector and Matrix - ScalingComplex Vector and Matrix - Multiplication Complex Vector and Matrix - Scalar ProductsComplex Vector and Matrix - Elimination Complex Vector and Matrix - RotationComplex Vector and Matrix - Norms Complex Vector and Matrix - Scaling Complex Monadic OperationsComplex Dyadic Operations Long Integer Arithmetic ALGEBRAIC EVALUATIONS Evaluation of Polynomials in Grunert Form Evaluation of General Orthogonal PolynomialsEvaluation of Chebyshev PolynomialsEvaluation of Fourier Series Evaluation of Continued FractionsTransformation of Polynomial Representation Operations on Orthogonal Polynomials LINEAR ALGEBRAFull Real General Matrices Real Symmetric Positive Definite MatricesGeneral Real Symmetric MatricesReal Full Rank Overdetermined Systems Other Real Matrix ProblemsReal Sparse Non-Symmetric Band Matrices Real Sparse Non-Symmetric Tridiagonal Matrices Sparse Symmetric Positive Definite Band Matrices Symmetric Positive Definite Tridiagonal MatricesSparse Real Matrices - Iterative MethodsSimilarity TransformationOther Transformations The (Ordinary) Eigenvalue Problem The Generalized Eigenvalue Problem Singular Values Zeros of Polynomials ANALYTIC EVALUATIONS Evaluation of an Infinite SeriesQuadrature Numerical Differentiation ANALYTIC PROBLEMS Nonlinear EquationsUnconstrained Optimization Overdetermined Nonlinear Systems Differential Equations - Initial Value ProblemsTwo Point Boundary Value ProblemsTwo-Dimensional Boundary Value ProblemsParameter estimation in differential equations SPECIAL FUNCTIONSElementary Functions Exponential IntegralGamma FunctionError FunctionBessel Functions of Integer OrderBessel Functions of Real Order INTERPOLATION AND APPROXIMATION Real Data in One DimensionADDENDAFast Fourier Transforms Time Series AnalysisWORKED EXAMPLESExamples for Chapter 1 ProceduresExamples for Chapter 2 ProceduresExamples for Chapter 3 ProceduresExamples for Chapter 4 ProceduresExamples for Chapter 5 ProceduresExamples for Chapter 6 ProceduresExamples for Chapter 7 proceduresAPPENDIX A: REFERENCES APPENDIX B: PROCEDURES DESCRIPTIONINDEX OF PROCEDURES

O autorze

Hang T. Lau (Author)