Duale Hermite-Birkhoff-probleme
نویسندگان
چکیده
منابع مشابه
Reconstruction of a function from Hermite-Birkhoff data
Birkhoff (or lacunary) interpolation is an extension of polynomial interpolation that appears when observation gives irregular information about function and its derivatives. A Birkhoff interpolation problem is not always solvable even in the appropriate polynomial or rational space. In this paper we split up the initial problem in subproblems having a unique polynomial solution and use multino...
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Strong-stability-preserving (SSP) time-discretization methods have a nonlinear stability property that makes them particularly suitable for the integration of hyperbolic conservation laws. A collection of 4-stage explicit SSP Hermite-Birkhoff methods of orders 4 to 8 with nonnegative coefficients are constructed as k-step analogues of fourth-order Runge-Kutta methods with three off-step points....
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We show how to combine incidence matrices, which admit Hermite-Birkhoff quadrature formulas of Gaussian type for any positive measure, in such a way that the resulting matrix also admits Gaussian type quadratures for any positive measure. Moreover, the uniqueness property and the extremal property of the formulas corresponding to the submatrices are transferred to the formula admitted by the co...
متن کاملThe Budan-fourier Theorem and Hermite-birkhoff Spline Interpolation
We extend the classical Budan-Fourier theorem to Hermite-Birkhoff splines, that is splines whose knots are determined by a finite incidence matrix. This is then applied to problems of interpolation by Hermite-Birkhoff splines, where the nodes of interpolation are also determined by a finite incidence matrix. For specified knots and nodes in a finite interval, conditions are examined under which...
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Methods approaching the problem of the Hermite Birkhoff interpolation of scattered data by combining Shepard operators with local interpolating polynomials are not new in literature [1–4]. In [3] combinations of Shepard operators with bivariate Hermite-Birkhoff local interpolating polynomials are introduced to increase the algebraic degree of precision (polynomial reproduction degree) of Shepar...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1976
ISSN: 0021-9045
DOI: 10.1016/0021-9045(76)90033-2