Optimum choice of initial approximations in interpolation methods of solving equations
S. Paszkowski (1971)
Applicationes Mathematicae
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Displaying similar documents to “Optimal problems concerning interpolation methods of solution of equations.”
Optimum choice of initial approximations in interpolation methods of solving equations
On a convergence theorem of (0, 1, 3) - interpolation.
R.B. Saxena (1961)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Solving the Abel integral equation by interpolation methods
S. Ugniewski (1977)
Applicationes Mathematicae
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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.
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...
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...
On optimal center locations for radial basis function interpolation: computational aspects.
De Marchi, S. (2003)
Rendiconti del Seminario Matematico
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Optimal polygonal interpolation
Jiří Kobza (1999)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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On Hermite interpolation formula.
Branga, Adrian (1998)
General Mathematics
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A Newton approach to bivariate Hermite interpolation on generalized natural lattices.
Jesús Miguel Carnicer, Mariano Gasca (2002)
RACSAM
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Un retículo natural es el conjunto de todas las intersecciones de un conjunto de rectas del plano en posición general. El problema de interpolación de Lagrange sobre un retículo natural de n + 2 rectas tiene solución única en el espacio de los polinomios bivariados de grado menor o igual que n. Un retículo natural generalizado está formado por todas las intersecciones de un conjunto de rectas distintas, sin excluir paralelismos o concurrencias múltiples. A un retículo natural generalizado...