Results 21 to 30 of about 23,143 (202)
On osculatory interpolation by trigonometric polynomials
International Journal of Mathematics and Mathematical Sciences, 1979 A short and simple proof is given that osculatory interpolation by trigonometric polynomials is always possible.
D. J. Newman, L. A. Rubel
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Journal of Nigerian Society of Physical Sciences, 2022 This paper considered the formulation of continuous third derivative trigonometrically fitted method for the solution of oscillatory first order initial value problems using the technique of interpolation and collocation of the approximate solution by ...
M. Kida +3 more
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Interpolation with circular basis functions [PDF]
, 2006 In this paper we consider basis function methods for solving the problem of interpolating data over distinct points on the unit circle. In the special case where the points are equally spaced we can appeal to the theory of circulant matrices which ...
Hubbert, Simon, Muller, S.
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Machines, 2023 Dual NURBS interpolation has been proven an essential technique for high-speed precision machining of complex surfaces. The solution of rotation angles and their derivatives is the basis of kinematic transformation and feedrate optimization in dual NURBS
Pengpeng Sun +4 more
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A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method [PDF]
, 2012 The Immersed Boundary (IB) method is a widely-used numerical methodology for the simulation of fluid-structure interaction problems. The IB method utilizes an Eulerian discretization for the fluid equations of motion while maintaining a Lagrangian ...
Fogelson, Aaron L. +3 more
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Journal of Mathematical Analysis and Applications, 1969 Journal of Mathematical Analysis and Applications 28 (1969) 652-659. doi:10.1016/0022-247X(69)90018-3 ; Received by publisher: 0000-01-01 ; Harvest Date: 2016-01-04 12:20:16 ; DOI:10.1016/0022-247X(69)90018-3 ; Page Range: 652 ...
Department of Mathematics, University of Florida, Gainesville, Florida USA ( host institution ) +1 more
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Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization [PDF]
, 2018 We extend the notion of Dubiner distance from algebraic to trigonometric polynomials on subintervals of the period, and we obtain its explicit form by the Szego variant of Videnskii inequality.
Vianello, Marco
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About Nodal Systems for Lagrange Interpolation on the Circle
Journal of Applied Mathematics, 2012 We study the convergence of the Laurent polynomials of Lagrange interpolation on the unit circle for continuous functions satisfying a condition about their modulus of continuity.
E. Berriochoa +2 more
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Extremal functions in de Branges and Euclidean spaces [PDF]
, 2014 In this work we obtain optimal majorants and minorants of exponential type for a wide class of radial functions on $\mathbb{R}^N$. These extremal functions minimize the $L^1(\mathbb{R}^N, |x|^{2\nu + 2 - N}dx)$-distance to the original function, where ...
Carneiro, Emanuel, Littmann, Friedrich
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PLoS ONE, 2020 In this paper, a new class of rational quadratic/linear trigonometric Hermite functions with two shape parameters is proposed. Based on these Hermite functions, new improved first class of Side-Side (FCSS), second class of Side-Side (SCSS), first class ...
Mingshan Qiu, Yuanpeng Zhu
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