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Remarks on interpolation in certain linear spaces (IV) [PDF]
Journal of Numerical Analysis and Approximation Theory, 2007 In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
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Remarks on interpolation in certain linear spaces (III) [PDF]
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper we study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
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Polynomial interpolation on interlacingrectangular grids
Journal of Approximation Theory, 2017 In this paper we establish the unisolvence of any interlacing pair of rectangular grids of points with respect to a large class of associated polynomial spaces.
M. Floater
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Polynomial interpolation methods in development of local geoid model
Egyptian Journal of Remote Sensing and Space Sciences, 2017 In geodesy three surfaces, the physical surface of the earth, the geoid and the reference ellipsoid are encountered giving rise to orthometric height (h), the ellipsoidal height (H) and the geoidal separation (N).
R. Das. +3 more
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High order algorithms for numerical solution of fractional differential equations
Advances in Difference Equations, 2021 In this paper, two novel high order numerical algorithms are proposed for solving fractional differential equations where the fractional derivative is considered in the Caputo sense. The total domain is discretized into a set of small subdomains and then
Mohammad Shahbazi Asl +2 more
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Computing knots by quadratic and cubic polynomial curves
Computational Visual Media, 2020 A new method is presented to determine parameter values (knot) for data points for curve and surface generation. With four adjacent data points, a quadratic polynomial curve can be determined uniquely if the four points form a convex polygon.
Fan Zhang +3 more
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Scientific Reports, 2023 The intention of this work is to study a mathematical model for fractal-fractional tuberculosis and COVID-19 co-infection under the Atangana-Baleanu fractal-fractional operator.
Arunachalam Selvam +7 more
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Generic interpolation polynomial for list decoding
Finite Fields Their Appl., 2012 We extend results of K. Lee and M.E. OʼSullivan by showing how to use Grobner bases to find the interpolation polynomial for list decoding a one-point AG code C = C L ( r P , D ) on any curve X , where P is an F q -rational point on X and D = P 1 + P 2 +
R. Lax
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Islet: Interpolation semi-Lagrangian element-based transport
Geoscientific Model Development, 2021 . Advection of trace species (tracers), also called tracer transport, in models of the atmosphere and other physical domains is an important and potentially computationally expensive part of a model's dynamical core (dycore).
A. Bradley, P. Bosler, O. Guba
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New numerical method for ordinary differential equations: Newton polynomial
Journal of Computational and Applied Mathematics, 2020 The Adams–Bashforth have been recognized to be a very efficient numerical method to solve linear and nonlinear differential equations, including those with non-integer orders.
A. Atangana +2 more
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