Multivariate Birkhoff-Lagrange interpolation schemes and Cartesian sets of nodes.

Crainic, N.

Displaying similar documents to “Multivariate Birkhoff-Lagrange interpolation schemes and Cartesian sets of nodes.”

UR Birkhoff interpolation with rectangular sets of derivatives

Nicolae Crainic (2004)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we characterize the regular UR Birkhoff interpolation schemes ( $U =$ uniform, $R =$ rectangular sets of nodes) with rectangular sets of derivatives, and beyond.

Numerical characteristics of uniform Birkhoff univariate interpolation schemes.

Crainic, Nicolae (2003)

Acta Universitatis Apulensis. Mathematics - Informatics

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Necessary and sufficient conditions for almost regularity of uniform Birkfoff interpolation schemes.

Crainic, Nicolae (2003)

Acta Universitatis Apulensis. Mathematics - Informatics

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On a theorem which limits the number of mixed interpolated derivatives for some plane regular uniform rectangular Birkhoff interpolation schemes.

Crainic, Nicolae (2004)

Acta Universitatis Apulensis. Mathematics - Informatics

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Generalized Birkhoff interpolation schemes: conditions for almost regularity.

Crainic, Nicolae (2003)

Acta Universitatis Apulensis. Mathematics - Informatics

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A conjecture on multivariate polynomial interpolation.

Jesús Miguel Carnicer, Mariano Gasca (2001)

RACSAM

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La generalización de las fórmulas de interpolación de Lagrange y Newton a varias variables es uno de los temas habituales de estudio en interpolación polinómica. Dos clases de configuraciones geométricas particularmente interesantes en el plano fueron obtenidas por Chung y Yao en 1978 para la fórmula de Lagrange y por Gasca y Maeztu en 1982 para la de Newton. Estos últimos autores conjeturaron que toda configuración de la primera clase es de la segunda, y probaron que el recíproco no...

On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors

Phung Van Manh (2015)

Annales Polonici Mathematici

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We give a new poised bivariate Hermite scheme and a formula for the interpolation polynomial. We show that the Hermite interpolation polynomial is the limit of bivariate Lagrange interpolation polynomials at Bos configurations on circles.

On multivariate interpolation by weights.

Simian, Dana, Simian, Corina (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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On Optimal Quadratic Lagrange Interpolation: Extremal Node Systems with Minimal Lebesgue Constant via Symbolic Computation

Rack, Heinz-Joachim, Vajda, Robert (2014)

Serdica Journal of Computing

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ACM Computing Classification System (1998): G.1.1, G.1.2. We consider optimal Lagrange interpolation with polynomials of degree at most two on the unit interval [−1, 1]. In a largely unknown paper, Schurer (1974, Stud. Sci. Math. Hung. 9, 77-79) has analytically described the infinitely many zero-symmetric and zero-asymmetric extremal node systems −1 ≤ x1 < x2 < x3 ≤ 1 which all lead to the minimal Lebesgue constant 1.25 that had already been determined by Bernstein...