activity
20112023
most citedControl of accuracy on Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method

30 citations · 36 across the 10 of their papers we have counts for

collaborators

12 papers

math-ph2023

One class of linear Fredholm integral equations with functionals and parameters

L. R. Dreglea Sidorov, N. Sidorov, D. Sidorov

The theory of linear Fredholm integral-functional equations of the second kind with linear functionals and with a parameter is considered. The necessary and sufficient conditions a…

math.NA2019

Control of accuracy on Taylor-collocation method for load leveling problem

Samad Noeiaghdam, Denis Sidorov, Ildar Muftahov +1

High penetration of renewable energy sources coupled with the decentralization of transport and heating loads in future power systems will result in even more complex unit commitme…

math.NA2018★ 30 cited

Control of accuracy on Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method

Samad Noeiaghdam, Denis Sidorov, Valery Sizikov

Finding the optimal parameters and functions of iterative methods is among the main problems of the Numerical Analysis. For this aim, a technique of the stochastic arithmetic (SA)…

math.DS2018★ 2 cited

Basins of attraction of nonlinear systems' equilibrium points: stability, branching and blow-up

Nikolai Sidorov, Denis Sidorov, Yong Li

This paper presents a nonlinear dynamical model which consists the system of differential and operator equations. Here differential equation contains a nonlinear operator acting in…

math.NA2017

Discrete Spectrum Reconstruction using Integral Approximation Algorithm

Valery Sizikov, Denis Sidorov

An inverse problem in spectroscopy is considered. The objective is to restore the discrete spectrum from observed spectrum data, taking into account the spectrometer's line spread…

math.AP2016

Nonclassic boundary value problems in the theory of irregular systems of equations with partial derivatives

Nikolai Sidorov, Denis Sidorov

The linear PDE with nonclassic conditions on boundary is c…