Interpolation and the Laguerre-Pólya class.

Bakan, Andrew; Craven, Thomas; Csordas, George

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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.

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Three ways of interpolation on finite elements

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Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects....