Analysis of generalized Glushkov integral models with controllable memory based on the V. K. Dzyadyk \(a\)-method

DOI10.1007/S10559-019-00174-ZzbMath1439.45005OpenAlexW2966605053MaRDI QIDQ2281360

N. G. Kyrylakha, K. V. Bozhonok, V. I. Bilenko, S. Ju. Dzjadyk

Publication date: 19 December 2019

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-019-00174-z

zbMATH Keywords

best approximationoptimal algorithmoptimization of computationsalgebraic nonlinear equationintegral model of system with controllable memorynon-saturabilitypiecewise-polynomial approximation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Systems of nonlinear integral equations (45G15) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• Methods for obtaining reliable solutions to systems of linear algebraic equations
• On systems of nonlinear Volterra integral equations with indeterminate lower bound of integration
• Implementation of numerical-analytical approximation methods for functions defined by ordinary differential equations
• Piecewise polynomial algorithms for the analysis of processes in inhomogeneous media
• Piecewise-polynomial approximations for the solutions of impulsive differential equations
• Optimization of the lifetime of capital equipment using integral models
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