Gaussian Cubature and Bivariate Polynomial Interpolation
نویسندگان
چکیده
منابع مشابه
Gaussian Cubature and Bivariate Polynomial Interpolation
Gaussian cubature is used to study bivariate polynomial interpolation based on the common zeros of quasi-orthogonal polynomials.
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We have implemented a Matlab code to compute Discrete Extremal Sets (of Fekete and Leja type) on convex or concave polygons, together with the corresponding interpolatory cubature formulas. The method works by QR and LU factorizations of rectangular Vandermonde matrices on Weakly Admissible Meshes (WAMs) of polygons, constructed by polygon quadrangulation. 2000 AMS subject classification: 65D05...
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In this paper, by means of a new recursive algorithm of non-tensor-producttyped divided differences, bivariate polynomial interpolation schemes are constructed over nonrectangular meshes firstly, which is converted into the study of scattered data interpolation. And the schemes are different as the number of scattered data is odd and even, respectively. Secondly, the corresponding error estimat...
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We consider a class of orthogonal polynomials that satisfy a threeterm recurrence formula with constant coefficients. This class contains the Geronimus class and, in particular, all four kinds of the Chebyshev polynomials. There are alternation points for each of these orthogonal polynomials that have a special compatibility with the polynomials of lower index. These points are the coordinates ...
متن کاملBivariate polynomial interpolation on the square at new nodal sets
As known, the problem of choosing ‘‘good’’ nodes is a central one in polynomial interpolation. While the problem is essentially solved in one dimension (all good nodal sequences are asymptotically equidistributed with respect to the arc-cosine metric), in several variables it still represents a substantially open question. In this work we consider new nodal sets for bivariate polynomial interpo...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1992
ISSN: 0025-5718
DOI: 10.2307/2153073