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20132020
most citedA Dynamic Analysis of Energy Storage with Renewable and Diesel Generation using Volterra Equations

81 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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math.NA2019★ 81 cited

A Dynamic Analysis of Energy Storage with Renewable and Diesel Generation using Volterra Equations

Denis Sidorov, Ildar Muftahov, Nikita Tomin +5

Energy storage systems will play a key role in the power system of the twenty first century considering the large penetrations of variable renewable energy, growth in transport ele…

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.NA2016

A numerical solution of one class of Volterra integral equations of the first kind in terms of the machine arithmetic features

Svetlana V. Solodusha, Igor V. Mokry

The research is devoted to a numerical solution of the Volterra equations of the first kind that were obtained using the Laplace integral transforms for solving the equation of hea…

math.NA2014★ 4 cited

Numerical solution of the Volterra equations of the first kind that appear in an inverse boundary-value problem of heat conduction

Svetlana V. Solodusha, Natalia M. Yaparova

The paper considers the integral Volterra equations of the first kind which are related to the inverse boundary-value heat conduction problem. The algorithms have been developed to…