B Ivariate Approximation by Discrete Smoothing Pde Splines
نویسنده
چکیده
This paper deals with the construction and characterization of discrete PDE splines. For this purpose, we need a PDE equation (usually an elliptic PDE), certain boundary conditions and a set of points to approximate. We give two results about the convergence of a discrete PDE spline to a function of a fixed space in two different cases: (1) when the approximation points are fixed; (2) when the boundary points are fixed. We provide a numerical and graphic example of approximation by discrete PDE splines.
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