WebCab Functions for .NET 2.0
WebCab Functions for .

WebCab Functions for .NET  add 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; to your .NET, COM, and XML Web service Applications.
The interpolation procedures provided include Newton polynomials, Lagrange's formula, BurlischStoer algorithm, Cubic splines (natural and free), Bicubic interpolation and procedures for find the interpolation functions coefficients.
In order to solve an equation we provide the Van WijngaardenDekkerBrent algorithm, interval bisection method, secant and false position, NewtonRaphson method and Ridders' method.
Requirements
Here are some key features of "Functions NET":
Interpolation Module
 Lagrange's formula  for interpolating a function known at N points with a polynomial of degree N1
 BurlischStoer 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
 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
 Grid  functions can be interpolated on an ndimensional 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 onedimensional splines
Equation Solver Module
This product also has the following technology aspects:
tags this procedure bisection method interval bisection and xml raphson method this method net com com and newton raphson asp net xml web than the and the
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