Symbolic-numerical solution of boundary-value problems with self-adjoint second-order differential equation using the finite element method with interpolation hermite …

AA Gusev, O Chuluunbaatar, SI Vinitsky… - Computer Algebra in …, 2014 - Springer
We present a symbolic algorithm generating finite-element schemes with interpolating
Hermite polynomials intended for solving the boundary-value problems with self-adjoint …

Kantbp 3. 0: New Version of a program for Computing energy Levels, reflection and transmission matrices, and corresponding wave functions in the coupled-channel …

AA Gusev, O Chuluunbaatar, SI Vinitsky… - … Models and Applied …, 2014 - cyberleninka.ru
Brief description of a FORTRAN 77 program for calculating energy values, refection and
transmission matrices, and corresponding wave functions in a coupled-channel …

Method of adiabatic modes in studying problems of smoothly irregular open waveguide structures

LA Sevastianov, AA Egorov, AL Sevastyanov - Physics of Atomic Nuclei, 2013 - Springer
Basic steps in developing an original method of adiabatic modes that makes it possible to
solve the direct and inverse problems of simulating and designing three-dimensional …

Symbolic-numeric solution of boundary-value problems for the Schrödinger equation using the finite element method: scattering problem and resonance states

AA Gusev, L Le Hai, O Chuluunbaatar… - Computer Algebra in …, 2015 - Springer
We present new symbolic-numeric algorithms for solving the Schrödinger equation
describing the scattering problem and resonance states. The boundary-value problems are …

The application of adiabatic method for the description of impurity states in quantum nanostructures

AA Gusev, O Chuluunbaatar, SI Vinitsky… - Journal of Physics …, 2010 - iopscience.iop.org
In the framework of effective mass approximation the application of adiabatic method for the
description of impurity states in quantum dots, wires and wells with parabolic confinement …

Analytical and numerical calculations of spectral and optical characteristics of spheroidal quantum dots

AA Gusev, LL Hai, SI Vinitsky, O Chuluunbaatar… - Physics of Atomic …, 2013 - Springer
In the effective mass approximation for electronic (hole) states of a spheroidal quantum dot
with and without external fields the perturbation theory schemes are constructed in the …

Adiabatic description of nonspherical quantum dot models

AA Gusev, O Chuluunbaatar, SI Vinitsky… - Physics of Atomic …, 2012 - Springer
Within the effective mass approximation an adiabatic description of spheroidal and dumbbell
quantum dot models in the regime of strong dimensional quantization is presented using the …

Метод адиабатических мод в задачах плавно-нерегулярных открытых волноведущих структур

ЛА Севастьянов, АА Егоров, АЛ Севастьянов - Ядерная физика, 2013 - elibrary.ru
Представлены основные этапы разработки оригинального метода адиабатических
мод, позволяющего решать прямую и обратную задачи моделирования и …

High-Accuracy Finite Element Methods for Solution of Discrete Spectrum Problems

U Vandandoo, T Zhanlav, O Chuluunbaatar… - High-Order Finite …, 2024 - Springer
A symbolic-numeric algorithm implemented in the Maple system for constructing
multivariable Hermitian finite elements are presented. The basis functions of finite elements …

Spectral and optical characteristics of spheroidal quantum dots

AA Gusev, O Chuluunbaatar, LL Hai… - Journal of Physics …, 2012 - iopscience.iop.org
In the framework of effective mass approximation and in strong size quantization regime the
absorption coefficients for ensembles of spheroidal quantum dots (SQDs) are analyzed …