Piecewise-Polynomial Approximations for the Solutions of Impulsive Differential Equations

On the basis of V. Dzyadyk’s approximation method, we consider the problems of construction and theoretical substantiation of high-precision numerical-analytic algorithms for the piecewise polynomial approximation of the solutions of problems with pulsed action.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2019-07, Vol.71 (2), p.190-201
Main Authors: Bilenko, V. I., Bozhonok, K. V., Dzyadyk, S. Yu
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Analysis
Applications of Mathematics
Approximation
Differential equations
Geometry
Mathematics
Mathematics and Statistics
Polynomials
Statistics
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Description
Summary:On the basis of V. Dzyadyk’s approximation method, we consider the problems of construction and theoretical substantiation of high-precision numerical-analytic algorithms for the piecewise polynomial approximation of the solutions of problems with pulsed action.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-019-01638-3