WebCab Functions for Delphi 2.0
WebCab Functions for Delphi - add refined numerical procedures to either construct a function of one or two variables from a set of points (i.
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WebCab Functions for Delphi - 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, Burlisch-Stoer 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 Wijngaarden-Dekker-Brent algorithm, interval bisection method, secant and false position, Newton-Raphson method and Ridders' method.
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 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
- 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 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
This product also has the following technology aspects:
Requirements
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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