2 citations · 4 across the 6 of their papers we have counts for
6 papers
Numerical solution of locally loaded Volterra integral equations
Vladislav Byankin, Aleksandr Tynda, Denis Sidorov +1
Volterra's integral equations with local and nonlocal loads represent the novel class of integral equations that have attracted considerable attention in recent years. These equati…
Volterra black-box models identification methods: direct collocation vs least squares
Denis Sidorov, Aleksandr Tynda, Vladislav Muratov +1
The Volterra integral-functional series is the classic approach for nonlinear black box dynamical systems modeling. It is widely employed in many domains including radiophysics, ae…
Application of Volterra Equations to Solve Unit Commitment Problem of Optimised Energy Storage and Generation
Ildar Muftahov, Denis Sidorov, Aleksei Zhukov +4
Development of reliable methods for optimised energy storage and generation is one of the most imminent challenges in moder power systems. In this paper an adaptive approach to loa…
Numerical solution of Volterra integral equations of the first kind with discontinuous kernels
Ildar Muftahov, Aleksandr Tynda, Denis Sidorov
We propose the numerical methods for solution of the weakly regular linear and nonlinear evolutionary (Volterra) integral equation of the first kind. The kernels of such equations…
Numerical Solution of Weakly Regular Volterra Integral Equations of the First Kind
Denis Sidorov, Aleksandr Tynda, Ildar Muftahov
The numerical method for solution of the weakly regular scalar Volterra integral equation of the 1st kind is proposed. The kernels of such equations have jump discontinuities on th…
Numerical Methods of Optimal Accuracy for Weakly Singular Volterra Integral Equations
I. V. Boykov, A. N. Tynda
Weakly singular Volterra integral equations of the different types are considered. The construction of accuracy-optimal numerical methods for one-dimensional and multidimensional e…