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 …

Symbolic-numerical algorithms to solve the quantum tunneling problem for a coupled pair of ions

AA Gusev, SI Vinitsky, O Chuluunbaatar… - Computer Algebra in …, 2011 - Springer
Symbolic-numerical algorithms for solving a boundary value problem (BVP) for the 2D
Schrödinger equation with homogeneous third type boundary conditions to study the …

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 …

Spectrum of beryllium dimer in ground X1Σg+ state

VL Derbov, G Chuluunbaatar, AA Gusev… - Journal of Quantitative …, 2021 - Elsevier
The calculations of the spectrum of vibrational-rotational bound states and new metastable
states of the beryllium dimer in ground X 1 Σ g+ state important for laser spectroscopy are …

POTHEA: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined 2D elliptic …

AA Gusev, O Chuluunbaatar, SI Vinitsky… - Computer Physics …, 2014 - Elsevier
A FORTRAN 77 program is presented for calculating with the given accuracy eigenvalues,
surface eigenfunctions and their first derivatives with respect to a parameter of the …

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 …

Symbolic-numeric algorithms for computer analysis of spheroidal quantum dot models

AA Gusev, O Chuluunbaatar, VP Gerdt… - Computer Algebra in …, 2010 - Springer
A computational scheme for solving elliptic boundary value problems with axially symmetric
confining potentials using different sets of one-parameter basis functions is presented. The …

Symbolic-numeric algorithm for solving the problem of quantum tunneling of a diatomic molecule through repulsive barriers

S Vinitsky, A Gusev, O Chuluunbaatar, L Le Hai… - Computer Algebra in …, 2014 - Springer
Symbolic-numeric algorithm for solving the boundary-value problems that describe the
model of quantum tunneling of a diatomic molecule through repulsive barriers is described …

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 …