A Mathematical/Statistical Control/Component by WebCab Components

WebCab Interpolation (J2EE Edition) V2.0

We offer computationally convenient and effective schemes of interpolation and extrapolation. These methods are ideal for any system that needs to work with functions which are stored in tabular form. We include the methods of Newton polynomials, Lagrange's formula, Burlisch-Stoer algorithm, Cubic splines (natural and free) and Bicubic interpolation. We also consider algorithms for finding the coefficients of an interpolation function and interpolation in higher dimensions.

This suite includes the following features:
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

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 2.4.4/3.00
• UML Models - to assist system architects we provide UML diagrams of this component

Technical Information

Component Type - Contains the following types of components...

• Enterprise Javabean

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