WebCab Functions (J2EE Edition) - JavaClass / JavaBean - V2.0 - Summary

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Summary

WebCab Functions (J2EE Edition) - JavaClass / JavaBean - V2.0 by WebCab

EJB Suite offering refined numerical procedures to either construct a function of one or two variables from a set of points (i.e. interpolate), or solve an equation of one variable. WebCab Functions (J2EE Edition) includes interpolation procedures such as Newton polynomials, Lagrange's formula, Burlisch-Stoer algorithm, Cubic splines (natural and free), Bicubic interpolation and procedures for finding the interpolation functions coefficients.

This suite includes the following features:

Interpolation Module

Polynomial Interpolation and extrapolation

Lagrange's formula - for interpolating a function known at N points with a polynomial of degree N-1

Burlisch-Stoer algorithm - interpolates functions using rational functions, this method gives error estimates

Cubic Splines - we give algorithms for natural and clamped cubic splines

Sorting - efficient techniques are used for finding tabulated values

Coefficients of an Interpolating Polynomial

Matrix method - this method relies upon diagonalizing a matrix (or solving a system of equations), and is of the order N squared

Zero method - by evaluating the interpolating polynomial at particular values we deduce the coefficients, this method is of the order N cubed

Interpolation and extrapolation in two or more dimensions

Grid - functions can be interpolated on an n-dimensional grid

Bilinear interpolation - we consider a multidimensional interpolation by breaking the problem into successive one dimensional interpolations

Accuracy - the use of higher order polynomials to obtain increased accuracy

Smoothness - the use of higher order polynomials to enforce smoothness on some of the derivatives

Bicubic interpolation - finds an interpolating function with a specified derivatives and cross derivatives which vary smoothly at the grid points

Bicubic spline - a special case of Bicubic interpolation involving the use of successive one-dimensional splines

Equation Solver Module

Interval Bisection Method - A robust method that always finds a solution or a singularity inside a bracketed interval.

Secant Method - Generally this procedure converges and is much faster than the interval bisection method.

Brent's Algorithm - The method of choice to find a bracketed root of a one dimensional equation when you cannot easily compute the function's derivative.

Ridders' Method - Concise and almost as reliable as Brent's Algorithm for finding a bracketed root of an equation.

Method of Regula Falsi - This procedure uses a slight alteration on the secant method to ensure convergence. The procedure is generally faster than the interval bisection method and slightly slower than the secant method.

Newton-Raphson Method - Given a first approximation to a root and the differential of the function this procedure will always produce a solution. We implement this procedure for polynomial functions of one variable.

Fail-Safe Newton-Raphson Method - This method combines the Newton-Raphson method and the Interval Bisection Method in order to produce very stable and fast convergence. Given a first approximation to a root and the differential of the function this procedure will always produce a solution.

This product also contains the following features:

GUI Bundle - we bundle a suite of graphical user interface JavaBean components (with 1, 2, 4 or site-wide license) allowing the developer to plug-in a wide range of GUI functionality (including charts/graphs) into their client applications

EAR Files - we provide individual customized EAR files for the most widely used application servers including IBM WebSphere 4.0/5.0, BEA WebLogic 6.1/7.0, Oracle 9iAS, Sun ONE AppServer 7, Ironflare Orion 1.5.2/1.6.0, Borland AppServer 5.0, Sybase EAServer 3.6 and JBoss 2.4.4/3.0.0

Self-Deploy - the relevant servers EAR file will be self-deployed onto supported local application servers during the installation of the self-install package. The supported application servers include IBM WebSphere 4.0/5.0, BEA WebLogic 6.1/7.0, Oracle 9iAS, Borland AppServer 5.0, Ironflare Orion 1.5.2/1.6.0 and JBoss 2.4.4/3.0.0

JDBC Mediator - A server side EJB component which mediates between an EJB component, clients and DBMS. The mediator moves most of a clients JDBC calls to the server and hence greatly increases the speed of JDBC client applications.

Web Application Example - A JSP interactive HTML interface which enables you to test every component method directly from your browser.

Synthetic JDBC - we use a JSP component to perform EJB calculations on SQL database columns from a remote DBMS. We apply an EJB function to certain rows from the database and list the output in HTML format. This is a powerful feature since it allows you to perform calculations in a JDBC manner without having to code the EJB-to-JDBC transaction yourself as it is all done by the JSP within the Application Server.

UML Models - to assist system architects we provide UML diagrams of this component

PartNumbers: PC-515472-51276 515472-51276 PC-515472-51277 515472-51277 PC-515472-51279 515472-51279

PurchaseOptions: WebCab Functions (J2EE Edition) V2.0 1 Developer License , WebCab Functions (J2EE Edition) V2.0 4 Developer Team License , WebCab Functions (J2EE Edition) V2.0 1 Site Wide License (Allows Unlimited Developers at a Single Physical Address)

Resources: Read the WebCab Functions (J2EE Edition) documentation - Requires Acrobat Reader, Download the WebCab Functions (J2EE Edition) evaluation on to your computer - Expires after 100 uses

Operating System for Deployment: Windows XP, Windows Server 2003, Windows 2000, IBM AIX 5.x, Linux Kernel V2.4.x, RedHat Linux 7.x, SUSE Linux 8.x

Architecture of Product: 32Bit

Product Type: Component

Component Type: Enterprise JavaBean V2.1, Enterprise JavaBean V2.0, Enterprise JavaBean V1.2, Enterprise JavaBean V1.1, WebLogic Workshop JWS Control

Application Servers: Oracle WebLogic Server 8.1 (formerly BEA), Oracle WebLogic Server 7.0 (formerly BEA), Oracle WebLogic Server 6.1 with J2EE 1.3 Features(formerly BEA), Oracle WebLogic Server 6.1 (formerly BEA), IBM WebSphere (TM) Application Server 4.0, IBM WebSphere (TM) Application Server 5.0, JBoss (TM) 3.0.x, Oracle Application Server 9i, Sun ONE Application Server 7.0, Borland Enterprise Server

Product Class: Business Components

Search Items: New Product Oct 04

Keywords: Math Stats Mathematics Mathematical Statistic Statistical Author