I solve a problem numerical spline-interpolation and/or Chebyshev minimax spline-approximation of multivariate function or surface defined in the chance points.
I have obtained the following results:
I. Algoritm and C-program for multidimensional spline-interpolation of function or surface defined on the chaotic net have been developed.
For this program to work it is necessary to have at last (n+1) points (x;y), where x=(x1,...,xn), n - dimention of spase, where the function y is defined. The more points are given, the more accurate is the interpolation.
II. Algoritm and C-program for Chebyshev minimax multidimensional spline-approximation of function or surface defined on the chaotic net have been developed bases on the algoritm part I.
Articles describing the algoritms have not been published.
If you are interested in my algoritms send your proposals for cooperation at my e-mail address. But you have some doubts, plase send two tables. (One for building the spline, the other for the accuracy check). The first table should contain coordinates at points (x1,...,xn;y), the second table - coordinates test points (x1,...,xn).
For example:
Table 1 for interpolation and/or approximation
point # |
x1 |
x2 |
... |
xn |
y |
1 |
... |
||||
2 |
... |
||||
... |
... |
... |
... |
... |
... |
Table 2
point # |
x1 |
x2 |
... |
xn |
1 |
... |
|||
2 |
... |
|||
... |
... |
... |
... |
... |
I`ll mail you the 2-nd table with the spline-function value in given points.
Dr. Igor Kucenko
Department of Complex Systems Modelling
Faculty of Cybernetics
Taras Shevchenko National University
64, Volodimirska street,
Kyiv, Ukraine, 01017
Tel.: +380(44) 266-4086
E-mail: [email protected]