Results 1 to 10 of about 8,329 (301)
Penalized hyperbolic-polynomial splines
Applied Mathematics Letters, 2021 With the aim of generalizing P-splines, we here define a special type of penalized splines, called HP-splines, where polynomial splines are replaced by the richer class of hyperbolic-polynomial splines and a suitably tailored discrete penalty term is ...
Rosanna Campagna, Costanza Conti
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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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Splines over regular triangulations in numerical simulation
CAD Computer Aided Design, 2017 We investigate the use of smooth spline spaces over regular triangulations as a tool in (isogeometric) Galerkin methods. In particular, we focus on box splines over three-directional meshes.
Francesca Pelosi +2 more
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Unified and extended form of three types of splines
Journal of Computational and Applied Mathematics, 2008 The three types refer to polynomial, trigonometric and hyperbolic splines. In this paper, we unify and extend them by a new kind of spline (UE-spline for short) defined over the space {cosωt,sinωt,1,t,…,tl,…}, where l is an arbitrary nonnegative integer.
Guozhao Wang
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Local refinement for analysis-suitable++ T-splines
Computer Methods in Applied Mechanics and Engineering, 2018 We develop an optimized local refinement algorithm for analysis-suitable++ T-splines (AS++ T-splines) which produces less propagation of control points. We then demonstrate its use as an adaptive framework for isogeometric analysis.
Yongjie Zhang
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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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Age-specific associations between blood pressure and cardiovascular disease, kidney disease, and death among individuals with type 2 diabetes: a population-based cohort study [PDF]
Cardiovascular DiabetologyBackground High blood pressure(BP) is a modifiable risk factor for premature mortality, adverse cardiovascular outcomes and kidney diseases in individuals with type 2 diabetes(T2D).
Edith W. K. Chow +9 more
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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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