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Numerical Solution of A Class of Systems of Volterra Polynomial Equations of the First Kind

Solodusha S.V. Numerical Solution of A Class of Systems of Volterra Polynomial Equations of the First Kind // Numerical Analysis and Applications. Vol.11. №1. 2018. P.89-97. DOI: 10.1134/S1995423918010093 In this paper, a class of second-order systems of Volterra nonlinear integral equations is considered. This class is related to a problem of automatic control of a dynamic object with vector inputs and outputs. A numerical solution technique based on the Newton–Kantorovich method is considered...

Теги: newton–kantorovich method , numerical solution , systems of polynomial volterra equations of the first kind , automation , integral equations , numerical methods , polynomials , dynamic objects , kantorovich method , nonlinear integral equations , second-order syst
Раздел: ИСЭМ СО РАН
Solving one class of systems of the polynomial volterra equations of the first kind by Newton's method

Solodusha S. Solving one class of systems of the polynomial volterra equations of the first kind by Newton's method // 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. 2017. ISBN (print): 9 781 509 062 607. DOI: 10.1109/CNSA.2017.7974016 A known approach to the mathematical modeling of nonlinear dynamic systems (objects) of input-output type is based on the Volterra integro-power series. In this paper consideration is given...

Теги: automation , dynamical systems , integral equations , newton-raphson method , nonlinear dynamical systems , numerical methods , dynamic objects , input and outputs , kantorovich method , newton's methods , nonl
Раздел: ИСЭМ СО РАН


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