Sparse Grid Adaptive Interpolation in Problems of Modeling Dynamic Systems with Interval Parameters

The paper is concerned with the issues of modeling dynamic systems with interval parameters. In previous works, the authors proposed an adaptive interpolation algorithm for solving interval problems; the essence of the algorithm is the dynamic construction of a piecewise polynomial function that int...

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Vydané v:	Mathematics (Basel) Ročník 9; číslo 4; s. 298
Hlavní autori:	Morozov, Alexander Yu, Zhuravlev, Andrey A., Reviznikov, Dmitry L.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Basel MDPI AG 01.02.2021
Predmet:	Adaptation Adaptive algorithms adaptive interpolation algorithm Adaptive systems Algorithms Cauchy problems Complexity Computational mathematics Costs Dynamical systems hierarchical basis high dimensions Interpolation interval ordinary differential equations (ODEs) Materials science Mathematical models multidimensional interpolation Nonlinear dynamics Optimization Ordinary differential equations Parameter uncertainty Partial differential equations Polynomials sparse grids
ISSN:	2227-7390, 2227-7390
On-line prístup:	Získať plný text
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