Provides precise numerical techniques by which the integral and derivative of a function at a point can be evaluated. Ridders' algorithm, Newton polynomial and Chebyshev polynomial methods are used in the approximation of a functions derivative. Newton-Cotes rule, Extended Trapezoidal rule, Extended Simpson's formula, Quadratic Gauss formula, Gaussian Quadrature (using the orthogonal functions of the Gauss-Legendre, Gauss-Laguerre, Gauss-Hermite and Gauss-Jacobi type), Romberg integration and Chebyshev-approximation procedures are implemented for the evaluation of the definite integral.

Prices
WebCab Differentiation and Integration v4.1 J2EE Edition
Single Developer License
 $199
4 Developer Team License
 $338
Site Wide Developer License
 $677
Demo License (limited functionality)
 $0
Prices are expressed in US Dollars.
Product Details
The WebCab Differentiation and Integration enterprise suite offers the following numerical techniques for the evaluation of the definite integral and the derivative of a function at a point.

  • Integration

    • Newton-Cotes Rule - uses products of rational functions to form a basis of the function space
    • Extended Trapezoidal Rule - based on approximating the function by drawing straight lines between the interpolating points
    • Extended Simpson's Formula - approximation obtained by replacing on small intervals the function with a parabola
    • Quadratic Gauss Formula - an approximation of the integral of the function using Legendre polynomials
    • Gaussian Quadrature and Orthogonal Polynomials - the function space will be spanned by one of the following types of functions

      • Gauss-Legendre
      • Gauss-Laguerre
      • Gauss-Hermite
      • Gauss-Jacobi

    • Romberg Integration - uses successive refinements of the extended trapezoidal rule
    • Chebyshev Approximation Procedures - integrand approximated using Chebyshev polynomials

  • Differentiation

    • Ridders' Algorithm - This method uses the classical definition of the derivative taking into account very carefully any rounding errors which may occur
    • Newton Polynomial - The first and second derivative
    • Chebyshev Polynomial Method - The function is first approximated by an absolutely convergent series of Chebyshev polynomials and then this series is explicitly differentiated term by term


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

Prerequisites

  • An Operating System running JavaTM
  • Pentium III® 733 Mhz
  • 256MB RAM
  • A J2EE1.3 (EJB2.0) compatible Application Server

Software requirements:
  • Java2 Enterprise Edition
  • JDK 1.3 or compatible
Compatibility
Operating System for Deployment:
  • Windows XP, 2000, NT
  • Sun Solaris
  • Linux
  • IBM AIX
  • HP-UX

Built Using:

  • JavaTM 2 SDK Standard Edition 1.3.1/1.4.x
  • JavaTM 2 SDK Enterprise Edition 1.3
Application Servers:
  • IBM WebSphere Application Server V4.0/V5.0
  • BEA WebLogic® Server 6.1/7.0
  • Oracle® 9i Application Server
  • Sun ONE AppServer 7
  • Borland Enterprise AppServer 5.0
  • Ironflare Orion Server 1.5.2/1.6.0
  • Sybase EAServer 3.6
  • JBoss 2.4.4/3.0.0
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