4 citations · 7 across the 21 of their papers we have counts for
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Existence of a system of discrete volume-localized quantum levels for charged fullerenes
Rafael V. Arutyunyan, Petr N. Vabishchevich, Yuri N. Obukhov
In the framework of a simple physical model, we demonstrate the existence of a system of discrete short-lifetime quantum levels for electrons in the potential well of the self-cons…
Computational identification of the lowest space-wise dependent coefficient of a parabolic equation
Petr N. Vabishchevich
In the present work, we consider a nonlinear inverse problem of identifying the lowest coefficient of a parabolic equation. The desired coefficient depends on spatial variables onl…
Numerical solution of boundary value problems for the eikonal equation in an anisotropic medium
Alexander G. Churbanov, Petr N. Vabishchevich
A Dirichlet problem is considered for the eikonal equation in an anisotropic medium. The nonlinear boundary value problem (BVP) formulated in the present work is the limit of the d…
Decoupling schemes for predicting compressible fluid flows
Petr N. Vabishchevich
Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation f…