Results 31 to 40 of about 19,045 (302)
Linear Barycentric Rational Method for Solving Schrodinger Equation
Journal of Mathematics, 2021 A linear barycentric rational collocation method (LBRCM) for solving Schrodinger equation (SDE) is proposed. According to the barycentric interpolation method (BIM) of rational polynomial and Chebyshev polynomial, the matrix form of the collocation ...
Peichen Zhao, Yongling Cheng
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Adaptive Sparse Grids with Nonlinear Basis in Interval Problems for Dynamical Systems
Computation, 2023 Problems with interval uncertainties arise in many applied fields. The authors have earlier developed, tested, and proved an adaptive interpolation algorithm for solving this class of problems.
Alexander Yu. Morozov +1 more
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On planar polynomial geometric interpolation
Journal of Approximation Theory, 2022 In the paper, the planar polynomial geometric interpolation of data points is revisited. Simple sufficient geometric conditions that imply the existence of the interpolant are derived in general. They require data points to be convex in a certain discrete sense.
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Eurasian Journal of Science and Engineering, 2023 One of the important problems in mathematics is finding the analytic solution and numerical solution of the differential equation using various methods and techniques.
Salisu Ibrahim
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Sparse polynomial interpolation with Bernstein polynomials
TURKISH JOURNAL OF MATHEMATICS, 2021 Summary: We present an algorithm for interpolating an unknown univariate polynomial \(f\) that has a \(t\) sparse representation (\(t\ll\deg(f)\)) using Bernstein polynomials as term basis from \(2t\) evaluations. Our method is based on manipulating given black box polynomial for \(f\) so that we can make use of Prony's algorithm.
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Spectral characteristics of two parameter fifth degree polynomial convolution kernel [PDF]
Bulletin of Natural Sciences Research, 2022 In this paper, the spectral characteristic of a polynomial two parameter convolutional fifth-order interpolation kernel is determined. The spectral characteristic is determined as follows. First, the kernel is decomposed into components.
Milivojević Zoran +2 more
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Note on Polynomial Interpolation [PDF]
Mathematical Notes, 1932 The formulae of interpolation of Lagrange and Newton are easily retained in the memory if one considers a simple way in which each can be derived, for polynomials.
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Journal of Advanced Research, 2019 The objective of this paper is to study the optimal control problem for the fractional tuberculosis (TB) infection model including the impact of diabetes and resistant strains. The governed model consists of 14 fractional-order (FO) equations.
N.H. Sweilam +2 more
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Polynomial Manifold Interpolation for Direction Finding in the Presence of Mutual Coupling
IEEE Access, 2019 Direction-of-arrival (DOA) estimation in the presence of mutual coupling among the antennas is an important problem in direction finding systems. To address the mutual coupling issue, a polynomial manifold interpolation approach is proposed in this paper.
Hongtao Duan +4 more
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Development of Kinematic Ephemeris Generator for Korea Pathfinder Lunar Orbiter (KPLO)
Journal of Astronomy and Space Sciences, 2020 This paper presents a kinematic ephemeris generator for Korea Pathfinder Lunar Orbiter (KPLO) and its performance test results. The kinematic ephemeris generator consists of a ground ephemeris compressor and an onboard ephemeris calculator.
Min-Sup Song +3 more
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