On optimal center locations for radial basis function interpolation: computational aspects.
De Marchi, S. (2003)
Rendiconti del Seminario Matematico
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Displaying similar documents to “On Optimal Quadratic Lagrange Interpolation: Extremal Node Systems with Minimal Lebesgue Constant via Symbolic Computation”
On optimal center locations for radial basis function interpolation: computational aspects.
Optimal polygonal interpolation
Jiří Kobza (1999)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Extending Babuška-Aziz's theorem to higher-order Lagrange interpolation
Kenta Kobayashi, Takuya Tsuchiya (2016)
Applications of Mathematics
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We consider the error analysis of Lagrange interpolation on triangles and tetrahedrons. For Lagrange interpolation of order one, Babuška and Aziz showed that squeezing a right isosceles triangle perpendicularly does not deteriorate the optimal approximation order. We extend their technique and result to higher-order Lagrange interpolation on both triangles and tetrahedrons. To this end, we make use of difference quotients of functions with two or three variables. Then, the error estimates...
The Lebesgue constant for Lagrange interpolation on equidistant nodes.
T.M. Mills, S.J. Smith (1992)
Numerische Mathematik
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On multivariate interpolation by weights.
Simian, Dana, Simian, Corina (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Optimal Nodes for Interpolation in Hardy Spaces.
Robert Schaback (1982)
Mathematische Zeitschrift
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Three ways of interpolation on finite elements
Šolín, Pavel, Segeth, Karel
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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....
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.