output
20022018
most citedTwo-dimensional tunnel correlations with dissipation

21 citations

18 papers

math.AP2018

Multi-component mathematical models in multilayer fields by the transformation operators method

Oleg Yaremko, Lidia Simutina

The vector transform operators are investigated; these operators are used at the solution of boundary value problems in piecewise homogeneous spherically symmetric areas. In partic…

math.NA2018★ 4 cited

Inverse Problem of Diffraction by an Inhomogeneous Solid with a Piecewise Hoelder Refractive Index

Mikhail Medvedik, Yury Smirnov, Aleksei Tsupak

The problem of reconstruction of an unknown refractive index of an inhomogeneous solid is considered. The refractive index is assumed to be a piecewise-Hölder function T…

math.NA2016★ 6 cited

Numerical methods for solution of singular integral equations

I. V. Boykov

This paper is devoted to overview of the authors works for numerical solution of singular integral equations (SIE), polysingular integral equations and multi-dimensional singular i…

cond-mat.mes-hall2016★ 9 cited

Phonon assisted resonant tunnelling and its phonons control

F. V. Kusmartsev, V. D. Krevchik, M. B. Semenov +11

We observe a series of sharp resonant features in the tunnelling differential conductance of InAs quantum dots. We found that dissipative quantum tunnelling has a strong influence…

eess.SY2016

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…

math.NA2015

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…