Enhancing the approximation order of local Shepard operators by Hermite polynomials
نویسندگان
چکیده
We show how to combine local Shepard operators with Hermite polynomials on the simplex (Chui and Lai, 1990 [3]) so as to raise the algebraic precision of the Shepard-Taylor operators (Farwig, 1986 [8]) that use the same data and contemporaneously maintain the interpolation properties at each sample point (derivative data included) and a good accuracy of approximation. Numerical results are provided.
منابع مشابه
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 64 شماره
صفحات -
تاریخ انتشار 2012