Results 21 to 30 of about 1,510 (211)
An algebraic characterization of B-splines
Journal of Mathematical Analysis and Applications, 2023 B-splines of order $k$ can be viewed as a mapping $N$ taking a $(k+1)$-tuple of increasing real numbers $a_0 < \cdots < a_k$ and giving as a result a certain piecewise polynomial function. Looking at this mapping $N$ as a whole, basic roperties of B-spline functions imply that it has the following algebraic properties: (1) $N(a_0,\ldots,a_k)$ has
Kamont, Anna, Passenbrunner, Markus
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C2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values
Mathematics, 2022 In this paper, a cubic Hermite spline interpolating scheme reproducing both linear polynomials and hyperbolic functions is considered. The interpolating scheme is mainly defined by means of integral values over the subintervals of a partition of the ...
Salah Eddargani +3 more
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Algebraic methods to study the dimension of supersmooth spline spaces [PDF]
Advances in Applied Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deepesh Toshniwal, Nelly Villamizar
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A class of algebraic–trigonometric blended splines
Journal of Computational and Applied Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lanlan Yan, Jiongfeng Liang
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A New Variant of B-Spline for the Solution of Modified Fractional Anomalous Subdiffusion Equation
Journal of Function Spaces, 2021 The objective of this paper is to present an efficient numerical technique for solving time fractional modified anomalous subdiffusion equation. Anomalous diffusion equation has its role in various branches of biological sciences. B-spline is a piecewise
M. S. Hashmi +7 more
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Smoothness assurance of the restorable surface of the cones of drill bits by cubic splines [PDF]
E3S Web of ConferencesThe article covers the issues of the application of the spline functions in engineering practice, in particular, in the design of cone drill bits. The polynomial splines, which most commonly used in computational methods are also described.
Akhmedov Yunus, Sharipov Kakhramon
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Computing Tchakaloff-like cubature rules on spline curvilinear polygons [PDF]
, 2021 We present an algorithm that computes a PI-type (Positive Interior) algebraic cubature rule of degree n with at most (n + 1)(n + 2)/2 nodes, over spline curvilinear polygons. The key ingredients are a theorem by Davis on Tchakaloff discretization sets, a
Vianello, M, Sommariva, A
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An algebraic spline model of molecular surfaces
Proceedings of the 2007 ACM symposium on Solid and physical modeling, 2007 In this paper, we describe a new method to generate a smooth algebraic spline (AS) model approximation of the molecular surface (MS), based on an initial coarse triangulation derived from the atomic coordinate information of the biomolecule, resident in the PDB (Protein data bank). Our method first constructs a triangular prism scaffold Ps covering the
Wenqi Zhao +2 more
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Real-Time Trajectory Planning and Control for Constrained UAV Based on Differential Flatness
International Journal of Aerospace Engineering, 2022 The trajectory planning of UAV with nonholonomic constraints is usually taken as differential algebraic equation to solve the optimal control problem of functional extremum under the condition of inequality constraints.
Dongli Wu +4 more
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 In this paper generalized spline method is used for solving linear system of fractional integro-differential equation approximately. The suggested method reduces the system to system of linear algebraic equations.
Nabaa Najdi Hasan, Doaa Ahmed Hussien
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