Abstract:
We study the general problem of interpolation by polynomial splines and consider the construction of such splines using the coefficients of expansion of a certain derivative in B-splines. We analyze the properties of the obtained systems of equations and estimate the interpolation error.
Keywords:
polynomial splines, interpolation, construction algorithms.
Citation:
Yu. S. Volkov, “The general problem of polynomial spline interpolation”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 114–125; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 187–198
\Bibitem{Vol16}
\by Yu.~S.~Volkov
\paper The general problem of polynomial spline interpolation
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 4
\pages 114--125
\mathnet{http://mi.mathnet.ru/timm1359}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-4-114-125}
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2018
\vol 300
\issue , suppl. 1
\pages 187--198
\crossref{https://doi.org/10.1134/S0081543818020190}
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Linking options:
https://www.mathnet.ru/eng/timm1359
https://www.mathnet.ru/eng/timm/v22/i4/p114
This publication is cited in the following 5 articles:
Hanbei Zhang, Christian Ankerstjerne Thilker, Henrik Madsen, Rongling Li, Fu Xiao, Tianyou Ma, Kan Xu, “Stochastic occupancy modeling for spaces with irregular occupancy patterns using adaptive B-Spline-based inhomogeneous Markov Chains”, Building and Environment, 261 (2024), 111721
Guangrong Chen, Ningze Wei, Lei Yan, HuaFeng Lu, Jin Li, Lei Zhang, “Time-optimal trajectory planning based on event-trigger and conditional proportional control”, PLoS ONE, 18:1 (2023), e0273640
Guangrong Chen, Ming Ma, Sheng Guo, Bowen Hou, Junzheng Wang, 2021 40th Chinese Control Conference (CCC), 2021, 2802
Yu. S. Volkov, V. V. Bogdanov, “On error estimates of local approximation by splines”, Siberian Math. J., 61:5 (2020), 795–802
Yu. S. Volkov, “Primer parabolicheskoi splain interpolyatsii s ogranichennoi konstantoi Lebega”, Tr. IMM UrO RAN, 24, no. 4, 2018, 85–91
Citation in format AMSBIB
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