Results 11 to 20 of about 758,138 (253)

An algebraic framework for geometrically continuous splines [PDF]

Mathematics of Computation, 2023
Geometrically continuous splines are piecewise polynomial functions defined on a collection of patches which are stitched together through transition maps. They are called G r G^{r} -splines if, after composition with the transition maps, they are continuously differentiable functions to order
Angelos Mantzaflaris, Bernard Mourrain, Nelly Villamizar, Beihui Yuan   +3 more
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Multivariate Splines and Algebraic Geometry [PDF]

Oberwolfach Reports, 2016
Multivariate splines are effective tools in numerical analysis and approximation theory. Despite an extensive literature on the subject, there remain open questions in finding their dimension, constructing local bases, and determining their approximation power. Much of what is currently known was developed by numerical analysts, using classical methods,
Henry K. Schenck, Larry L. Schumaker, Tatyana Sorokina   +2 more
openalex   +3 more sources

The algebra of splines: duality, group actions and homology [PDF]

, 2023
This survey gives an overview of three central algebraic themes related to the study of splines: duality, group actions, and homology. Splines are piecewise polynomial functions of a prescribed order of smoothness on some subdivided domain D in R^k, and appear in applications ranging from approximation theory to geometric modeling to numerical analysis.
Martina Lanini, Hal Schenck, Julianna Tymoczko   +2 more
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Spline-in-compression approximation of order of accuracy three (four) for second order non-linear IVPs on a graded mesh [PDF]

MethodsX, 2023
A spline-in-compression method, implicit in nature, for computing numerical solution of second order nonlinear initial-value problems (IVPs) on a mesh not necessarily equidistant is discussed.
R.K. Mohanty, Bishnu Pada Ghosh
doaj   +2 more sources

Adaptive Multi-Rate Wavelet Method for Circuit Simulation [PDF]

Radioengineering, 2014
In this paper a new adaptive algorithm for multi-rate circuit simulation encountered in the design of RF circuits based on spline wavelets is presented.
K. Bittner, H. G. Brachtendorf
doaj   +2 more sources

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, Guoliang Xu, C. Bajaj
semanticscholar   +3 more sources

Cubic non-polynomial spline on piecewise mesh for singularly perturbed reaction differential equations with robin type boundary conditions [PDF]

BMC Research Notes
Objective The main purpose of this work is to present cubic non-polynomial spline approximation method for solving Robin-type singularly perturbed reaction–diffusion problems. Results The solution domain is first discretized using a piecewise mesh.
Bethelhem Esayas Ayele, Tesfaye Aga Bullo, Gemechis File Duressa   +2 more
doaj   +2 more sources

Algebraic hyperbolic spline quasi-interpolants and applications

Journal of Computational and Applied Mathematics, 2019
In this paper, a construction of Marsden’s identity for UAH B-splines (i.e. Uniform Algebraic Hyperbolic B-splines) is developed and a clear proof is given.
S. Eddargani, A. Lamnii, M. Lamnii, D. Sbibih, A. Zidna   +4 more
semanticscholar   +4 more sources

Algebraic Structure of Generalized Splines

, 2019
G sonlu bir çizge, R birimli değişmeli bir halka ve α, G çizgesinin kenarlarını R halkasının idealleri ile etiketleyen bir kenar etiketleme fonksiyonu olsun. (G,α) ikilisine bir kenar etiketli çizge denir. Bir (G,α) kenar etiketli çizgesi üzerinde bir genelleştirilmiş spline, komşu köşelerin üzerindeki etiketlerin farkı bu köşeleri bağlayan kenar ...
Samet Sarıoğlan
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Hybrid cubic and hyperbolic b-spline collocation methods for solving fractional Painlevé and Bagley-Torvik equations in the Conformable, Caputo and Caputo-Fabrizio fractional derivatives

Boundary Value Problems
In this paper, we approximate the solution of fractional Painlevé and Bagley-Torvik equations in the Conformable (Co), Caputo (C), and Caputo-Fabrizio (CF) fractional derivatives using hybrid hyperbolic and cubic B-spline collocation methods, which is an
Nahid Barzehkar, Reza Jalilian, Ali Barati   +2 more
doaj   +2 more sources