Results 1 to 10 of about 7,438 (162)
Mathematical Modelling and Analysis, 2016 We consider averaging methods for solving the 3-D boundary-value problem of second order in multilayer domain. The special hyperbolic and exponential type splines, with middle integral values of piece-wise smooth function interpolation are considered ...
Andris Buikis +2 more
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Mathematics, 2023 The purpose of this article is to give relations among the uniform B-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method.
Yilmaz Simsek
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A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In this paper, a high order accuracy method is developed for finding the approximate solution of two-point boundary value problems. The present approach is based on a special algorithm, taken from Pascal’s triangle, for obtaining a generalized form of ...
Z. Sarvari
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Error analysis for a special X-spline [PDF]
Computing, 1980 Clenshaw and Negus [1] defined the cubic X-spline, and they applied it to an interpolation problem. In the present paper, for the same interpolation problem, an interpolating splinew is considered by combining two specialX-splines. The construction ofw is such that the computational labour for its determination, in the case of piecewise equally spaced ...
Heinrich N. Mülthei, B. Schorr
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Generalized de Boor–Cox Formulas and Pyramids for Multi-Degree Spline Basis Functions
Mathematics, 2023 The conventional B-splines possess the de Boor–Cox formula, which relates to a pyramid algorithm. However, for multi-degree splines, a de Boor–Cox-type evaluation algorithm only exists in some special cases.
Xu Ma, Wanqiang Shen
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On Conservative Averaging Method in Spline Applications
Современные информационные технологии и IT-образование, 2020 We consider the conservative averaging method for solving the 3-D boundary-value problem of second order in multilayer domain. Looking back to the history of mathematics, integral parabolic splines relates to conservative averaging method (CAM ...
Harijs Kalis, Ilmars Kangro
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Special multivariate quadratic spline space
Mathematical and Computer Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ren-Hong Wang 0001, Feng-Gong Lang
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Alexandria Engineering Journal, 2022 In the present study, the uniform cubic B-spline collocation method is constructed, employed, and experimented to given smooth approximations for the numerical solution of a class of linear and nonlinear fractional initial value problems of singular and ...
Ahlem Ben Rabah +2 more
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Mathematical Modelling and Analysis, 2018 In this paper we study diffusion and convection filtration problem of one substance through the pores of a porous material which may absorb and immobilize some of the diffusing substances.
Ilmars Kangro, Harijs Kalis
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Versatile Tool for Parametric Smooth Turbomachinery Blades
Aerospace, 2022 Designing blades for efficient energy transfer by turning the flow and angular momentum change is both an art and iterative multidisciplinary engineering process.
Kiran Siddappaji, Mark G. Turner
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