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High-Accuracy Finite Element Methods for Solution of Discrete Spectrum Problems
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2024
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Ulziibayar Vandandoo
Т. Жанлав
О. Чулуунбаатар
А. А. Гусев
S. I. Vinitsky
Galmandakh Chuluunbaatar
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+
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High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations
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2024
|
Ulziibayar Vandandoo
Т. Жанлав
О. Чулуунбаатар
А. А. Гусев
S. I. Vinitsky
Galmandakh Chuluunbaatar
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+
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Higher-Order Finite-Difference Methods for the Burgers’ Equations
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2024
|
Ulziibayar Vandandoo
Т. Жанлав
О. Чулуунбаатар
А. А. Гусев
S. I. Vinitsky
Galmandakh Chuluunbaatar
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+
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Hermite Interpolation Polynomials on Parallelepipeds and FEM Applications
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2023
|
А. А. Гусев
Galmandakh Chuluunbaatar
О. Чулуунбаатар
S. I. Vinitsky
Yu. A. Blinkov
Algirdas Deveikis
Peter O. Hess
Lương Lê Hải
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Unusual chemical bond and spectrum of beryllium dimer in ground $X^1Σ_g^+$ state
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2023
|
А. В. Митин
А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
Vladimir L. Derbov
Lương Lê Hải
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+
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PI-type fully symmetric quadrature rules on the 3-, …, 6-simplexes
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2022
|
Galmandakh Chuluunbaatar
О. Чулуунбаатар
А. А. Гусев
S. I. Vinitsky
|
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Modeling the multifractal dynamics of COVID-19 pandemic
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2022
|
В. П. Цветков
S. A. Mikheev
И. В. Цветков
Vladimir L. Derbov
А. А. Гусев
S. I. Vinitsky
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Modeling the multifractal dynamics of COVID-19 pandemic
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2022
|
Vladimir L. Derbov
А. А. Гусев
S. I. Vinitsky
S. A. Mikheev
И. В. Цветков
В. П. Цветков
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The asymptotic solution of a singularly perturbed Cauchy problem for Fokker-Planck equation
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2021
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Mohamed A. Bouatta
Sergey A. Vasilyev
S. I. Vinitsky
|
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Mathematical model of COVID-19 pandemic based on a retarded differential equation
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2021
|
Vladimir L. Derbov
S. I. Vinitsky
А. А. Гусев
Feodor M. Pen'kov
P. M. Krassovitskiy
Galmandakh Chuluunbaatar
|
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Potential roots of the deep subbarrier heavy-ion fusion hindrance phenomenon within the sudden approximation approach
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2021
|
Pei-Wei Wen
C. J. Lin
R. G. Nazmitdinov
S. I. Vinitsky
О. Чулуунбаатар
А. А. Гусев
A. K. Nasirov
H. M. Jia
A. Góźdź
|
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Reduced SIR Model of COVID-19 Pandemic
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2021
|
S. I. Vinitsky
А. А. Гусев
Vladimir L. Derbov
P. M. Krassovitskiy
Ф. М. Пеньков
Galmandakh Chuluunbaatar
|
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A Maple Implementation of the Finite Element Method for Solving Boundary-Value Problems for Systems of Second-Order Ordinary Differential Equations
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2021
|
Galmandakh Chuluunbaatar
А. А. Гусев
Vladimir L. Derbov
S. I. Vinitsky
О. Чулуунбаатар
Lương Lê Hải
Vladimir P. Gerdt
|
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Approximate Solutions of the RSIR Model of COVID-19 Pandemic
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2021
|
Ф. М. Пеньков
Vladimir L. Derbov
Galmandakh Chuluunbaatar
А. А. Гусев
S. I. Vinitsky
Marek Góźdź
P. M. Krassovitskiy
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+
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Kvadrupolinis operatorius ortogonalioje Bargmann-Moshinsky SU(3) grupės bazėje
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2021
|
Algirdas Deveikis
Alexander Gusev
S. I. Vinitsky
|
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KANTBP 4M Program for Solving the Scattering Problem for a System of Ordinary Second-Order Differential Equations
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2020
|
Galmandakh Chuluunbaatar
А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
Lương Lê Hải
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+
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Symbolic-Numeric Algorithm for Computing Orthonormal Basis of O(5)˟ SU(1, 1) Group.
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2020
|
Algirdas Deveikis
А. А. Гусев
Vladimir P. Gerdt
S. I. Vinitsky
A. Góźdź
A. Pędrak
Č. Burdík
G. S. Pogosyan
|
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On rotational-vibrational spectrum of diatomic beryllium molecule
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2019
|
А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
Vladimir L. Derbov
A. Góźdź
P. M. Krassovitskiy
Igor Filikhin
А. В. Митин
Lương Lê Hải
Tran T. Lua
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+
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On generation of the Bargmann-Moshinsky basis of SU(3) group
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2019
|
S. I. Vinitsky
Č. Burdík
А. А. Гусев
Algirdas Deveikis
A. Góźdź
A. Pędrak
P. M. Krassovitskiy
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+
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Symbolic-Numerical Algorithm for Large Scale Calculations the Orthonormal $$\mathrm {SU(3)}$$ BM Basis
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2019
|
Algirdas Deveikis
А. А. Гусев
Vladimir P. Gerdt
S. I. Vinitsky
A. Góźdź
A. Pędrak
Č. Burdík
|
+
PDF
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Finite Element Method for Solving the Collective Nuclear Model with Tetrahedral Symmetry
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2019
|
А. А. Гусев
S. I. Vinitsky
О. Чулуунбаатар
A. Góźdź
A. Dobrowolski
K. Mazurek
P. M. Krassovitskiy
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+
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Parametric bases for elliptic boundary value problem
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2018
|
А. А. Гусев
S. I. Vinitsky
О. Чулуунбаатар
Vladimir L. Derbov
A. Góźdź
P. M. Krassovitskiy
|
+
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Symbolic Algorithm for Generating the Orthonormal Bargmann–Moshinsky Basis for $$\mathrm {SU(3)}$$ Group
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2018
|
Algirdas Deveikis
А. А. Гусев
Vladimir P. Gerdt
S. I. Vinitsky
A. Góźdź
A. Pędrak
|
+
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On rotational-vibrational spectrum of diatomic beryllium molecule
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2018
|
Alexandr Alexandrovich Gusev
О. Чулуунбаатар
S. I. Vinitsky
Vladimir L. Derbov
A. Góźdź
P. M. Krassovitskiy
Igor Filikhin
А. В. Митин
Lương Lê Hải
Tran T. Lua
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Finite Element Method for Solving the Collective Nuclear Model with Tetrahedral Symmetry
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2018
|
А. А. Гусев
S. I. Vinitsky
О. Чулуунбаатар
A. Góźdź
A. Dobrowolski
K. Mazurek
P. M. Krassovitskiy
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+
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Solution of the boundary-value problem for a systems of ODEs of large dimension: benchmark calculations in the framework of Kantorovich method
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2016
|
А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
Vladimir L. Derbov
|
+
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Structure of Bohr type nuclear collective spaces - a few symmetry related problems
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2016
|
A. Góźdź
A. Pędrak
А. А. Гусев
S. I. Vinitsky
A. Dobrowolski
A. Szulerecka
|
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Solution of Boundary-Value Problems using Kantorovich Method
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2016
|
А. А. Гусев
Lương Lê Hải
О. Чулуунбаатар
S. I. Vinitsky
Vladimir L. Derbov
|
+
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Symbolic-Numeric Algorithms for Solving BVPs for a System of ODEs of the Second Order: Multichannel Scattering and Eigenvalue Problems
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2016
|
А. А. Гусев
Vladimir P. Gerdt
Lương Lê Hải
Vladimir L. Derbov
S. I. Vinitsky
О. Чулуунбаатар
|
+
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Algorithms and programs for solving boundary-value problems for systems of second-order ODEs with piecewise constant potentials: multichannel scattering and eigenvalue problems
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2016
|
А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
Lương Lê Hải
Vladimir L. Derbov
A. Góźdź
|
+
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Symbolic-Numeric Solution of Boundary-Value Problems for the Schrödinger Equation Using the Finite Element Method: Scattering Problem and Resonance States
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2015
|
А. А. Гусев
Lương Lê Hải
О. Чулуунбаатар
Ulziibayar Vandandoo
S. I. Vinitsky
Vladimir L. Derbov
A. Góźdź
V. A. Rostovt︠s︡ev
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+
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Algorithm for computing a wave packet evolution of the time-dependent Schrödinger equation
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2014
|
А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
A.G. Abrashkevich
|
+
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Symbolic-Numerical Solution of Boundary-Value Problems with Self-adjoint Second-Order Differential Equation Using the Finite Element Method with Interpolation Hermite Polynomials
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2014
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А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
Vladimir L. Derbov
A. Góźdź
Lương Lê Hải
V. A. Rostovt︠s︡ev
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+
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Description of a program for Computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the coupled parametric self-adjoined elliptic differential equations
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2014
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А. А. Гусев
Ochbadrab Chuluunbaatar
S. I. Vinitsky
A.G. Abrashkevich
|
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PDF
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Hybrid surface-flux method for extraction of the ionization amplitude from the calculated wave function
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2013
|
Vladislav V. Serov
Vladimir L. Derbov
Tatyana A. Sergeeva
S. I. Vinitsky
|
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PDF
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Analytical and numerical calculations of spectral and optical characteristics of spheroidal quantum dots
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2013
|
А. А. Гусев
Lương Lê Hải
S. I. Vinitsky
О. Чулуунбаатар
Vladimir L. Derbov
A. S. Klombotskaya
K. G. Dvoyan
H.A. Sarkisyan
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+
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Symbolic-numerical Algorithm for Generating Cluster Eigenfunctions: Tunneling of Clusters Through Repulsive Barriers
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2013
|
S. I. Vinitsky
А. А. Гусев
О. Чулуунбаатар
V. A. Rostovt︠s︡ev
Lương Lê Hải
Vladimir L. Derbov
P. M. Krassovitskiy
|
+
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Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions
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2013
|
А. А. Гусев
S. I. Vinitsky
О. Чулуунбаатар
V. A. Rostovt︠s︡ev
Lương Lê Hải
Vladimir L. Derbov
A. Góźdź
Evgenii Klimov
|
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PDF
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Symbolic-Numerical Algorithm for Generating Cluster Eigenfunctions: Identical Particles with Pair Oscillator Interactions
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2013
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А. А. Гусев
S. I. Vinitsky
О. Чулуунбаатар
V. A. Rostovt︠s︡ev
Lương Lê Hải
Vladimir L. Derbov
A. Góźdź
Evgenii Klimov
|
+
PDF
Chat
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Symbolic-Numerical Algorithm for Generating Cluster Eigenfunctions: Tunneling of Clusters through Repulsive Barriers
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2013
|
S. I. Vinitsky
А. А. Гусев
О. Чулуунбаатар
V. A. Rostovt︠s︡ev
Lương Lê Hải
Vladimir L. Derbov
P. M. Krassovitskiy
|
+
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Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions
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2013
|
Alexander Gusev
S. I. Vinitsky
О. Чулуунбаатар
V. A. Rostovt︠s︡ev
Lương Lê Hải
Vladimir L. Derbov
A. Góźdź
Evgenii Klimov
|
+
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Symbolic-numerical Algorithm for Generating Cluster Eigenfunctions: Tunneling of Clusters Through Repulsive Barriers
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2013
|
S. I. Vinitsky
Alexander Gusev
О. Чулуунбаатар
V. A. Rostovt︠s︡ev
Lương Lê Hải
Vladimir L. Derbov
P. M. Krassovitskiy
|
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PDF
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Adiabatic description of nonspherical quantum dot models
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2012
|
А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
K. G. Dvoyan
É. M. Kazaryan
H.A. Sarkisyan
Vladimir L. Derbov
A. S. Klombotskaya
Vladislav V. Serov
|
+
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Modern methods for calculations of photoionization and electron impact ionization of two-electron atoms and molecules
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2012
|
Vladislav V. Serov
Vladimir L. Derbov
Tatiana А. Sergeeva
S. I. Vinitsky
|
+
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Adiabatic approach to the problem of a quantum well with a hydrogen-like impurity
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2010
|
А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
Vladimir L. Derbov
É. M. Kazaryan
A. A. Kostanyan
H.A. Sarkisyan
|
+
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Algorithm for reduction of boundary-value problems in multistep adiabatic approximation
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2010
|
А. А. Гусев
О. Чулуунбаатар
Vladimir P. Gerdt
Blagoja Markovski
Vladislav V. Serov
S. I. Vinitsky
|
+
PDF
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Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models
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2010
|
А. А. Гусев
О. Чулуунбаатар
Vladimir P. Gerdt
V. A. Rostovt︠s︡ev
S. I. Vinitsky
Vladimir L. Derbov
Vladislav V. Serov
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+
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Multi-layer evolution schemes for the finite-dimensional quantum systems in external fields
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2009
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О. Чулуунбаатар
Vladimir P. Gerdt
А. А. Гусев
M. S. Kaschiev
V. A. Rostovt︠s︡ev
Yoshio Uwano
S. I. Vinitsky
|
+
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ODPEVP: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined Sturm–Liouville problem
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2009
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О. Чулуунбаатар
А. А. Гусев
S. I. Vinitsky
A.G. Abrashkevich
|
+
PDF
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Symbolic-Numerical Algorithms for Solving Parabolic Quantum Well Problem with Hydrogen-Like Impurity
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2009
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S. I. Vinitsky
О. Чулуунбаатар
Vladimir P. Gerdt
А. А. Гусев
V. A. Rostovt︠s︡ev
|
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A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem
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2007
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S. I. Vinitsky
Vladimir P. Gerdt
А. А. Гусев
M. S. Kaschiev
V. A. Rostovt︠s︡ev
В. Н. Самойлов
Tatiana Tyupikova
О. Чулуунбаатар
|
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Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation
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2006
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S. I. Vinitsky
Vladimir P. Gerdt
А. А. Гусев
M. S. Kaschiev
V. A. Rostovt︠s︡ev
V. N. Samoylov
T. V. Tupikova
Yoshio Uwano
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A Symbolic-Numeric Approach for Solving the Eigenvalue Problem for the One-Dimensional Schrödinger Equation
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2006
|
Irina N. Belyaeva
Н.А. Чеканов
А. А. Гусев
V. A. Rostovt︠s︡ev
S. I. Vinitsky
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+
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A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in Magnetic Field
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2006
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А. А. Гусев
Vladimir P. Gerdt
M. S. Kaschiev
V. A. Rostovt︠s︡ev
V. N. Samoylov
T. V. Tupikova
S. I. Vinitsky
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+
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Numerical solving of the 2D-eigenvalue problem in a self-consistent basis
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2005
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S. I. Vinitsky
D. N. Pak
V. A. Rostovt︠s︡ev
Н.А. Чеканов
Yu. A. Ukolov
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A MAPLE Symbolic-Numeric Program for Solving the 2D-Eigenvalue Problem by a Self-consistent Basis Method
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2005
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Irina N. Belyaeva
Н.А. Чеканов
А. А. Гусев
V. A. Rostovt︠s︡ev
Yu. A. Ukolov
Yoshio Uwano
S. I. Vinitsky
|
+
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Symbolic-Numerical Algorithm for Solving the Time-Dependent Schrödinger Equation by Split-Operator Method
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2005
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А. А. Гусев
Vladimir P. Gerdt
M. S. Kaschiev
V. A. Rostovt︠s︡ev
V. N. Samoylov
T. V. Tupikova
Yoshio Uwano
S. I. Vinitsky
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<title>High-accuracy splitting algorithms for the time-dependent Schrodinger equation with a train of laser pulses</title>
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2004
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А. А. Гусев
О. Чулуунбаатар
S. I. Vinitsky
M. S. Kaschiev
|
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PDF
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Cosmological production of vector bosons and cosmic microwave background radiation
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2004
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D. Blaschke
S. I. Vinitsky
Alexander Gusev
V. N. Pervushin
D. V. Proskurin
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+
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The Universe Evolution as Possible Mechanism of Formation of Galaxies and Their Clusters
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2004
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Alexander Gusev
P. Flin
V. N. Pervushin
S. I. Vinitsky
A. G. Zorin
|
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A Comparison of Algorithms for the Normalization and Quantization of Polynomial Hamiltonians
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2004
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А. А. Гусев
Н.А. Чеканов
V. A. Rostovt︠s︡ev
S. I. Vinitsky
Yoshio Uwano
|
+
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Adaptive numerical methods for time-dependent Schrodinger equation in atomic and laser physics
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2003
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Vladimir L. Derbov
M. S. Kaschiev
Vladislav V. Serov
А. А. Гусев
S. I. Vinitsky
|
+
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Cold Dark Matter as Cosmic Evolution of Galaxies in Relative Units
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2003
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Alexander Gusev
V. N. Pervushin
S. I. Vinitsky
A. G. Zorin
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+
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Kantorovich Method for Solving the Multi-dimensional Eigenvalue and Scattering Problems of Schrödinger Equation
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2003
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О. Чулуунбаатар
Michael S. Kaschiev
Vera A. Kaschieva
S. I. Vinitsky
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+
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<title>Polynomial su<formula><inf><roman>pd</roman></inf></formula>(2) Lie algebra techniques in solving the second-harmonic generation model: comparison of exact and approximate calculations</title>
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2002
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V. P. Karassiov
А. А. Гусев
S. I. Vinitsky
|
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PDF
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Polynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations
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2002
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V. P. Karassiov
А. А. Гусев
S. I. Vinitsky
|
+
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The Inverse Problem of the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Cubic Potentials
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2002
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Yoshio Uwano
А. А. Гусев
V. A. Rostovt︠s︡ev
S. I. Vinitsky
|
+
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Origin of Matter from Vacuum in Conformal Cosmology
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2002
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D. Blaschke
S. I. Vinitsky
V. N. Pervushin
D. V. Proskurin
Alexander Gusev
|
+
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Adaptive Method for Solving the Time-Dependent Schrödinger Equation
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2002
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G. N. Bankov
M. S. Kaschiev
S. I. Vinitsky
|
+
PDF
Chat
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Wave-packet evolution approach to ionization of the hydrogen molecular ion by fast electrons
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2001
|
Vladislav V. Serov
Vladimir L. Derbov
B Joulakian
S. I. Vinitsky
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+
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Cosmological Creation of Vector Bosons and Fermions
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2001
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D. Blaschke
S. I. Vinitsky
V. N. Pervushin
D. V. Proskurin
Alexander Gusev
|
+
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An implementation of the polynomial Lie algebra methods for solving a class of nonlinear models in quantum optics
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2001
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V. P. Karassiov
А. А. Гусев
S. I. Vinitsky
|
+
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Magnus-factorized method for numerical solving the time-dependent Schrödinger equation
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2000
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И.В. Пузынин
A.V. Selin
S. I. Vinitsky
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+
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GITA : A symbolic computing program for an inverse problem of the Birkhoff–Gustavson normal form expansion
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2000
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Н.А. Чеканов
V. A. Rostovt︠s︡ev
Yoshio Uwano
S. I. Vinitsky
|
+
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A high-order accuracy method for numerical solving of the time-dependent Schrödinger equation
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1999
|
И.В. Пузынин
A.V. Selin
S. I. Vinitsky
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+
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On Normalization of a Class of Polynomial Hamiltonians: From Ordinary and Inverse Points of View
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1999
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Yoshio Uwano
Nikolai Aleksandrovich Chekanov
V. A. Rostovt︠s︡ev
S. I. Vinitsky
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+
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"Inverse-GITA" for an inverse problem of the Birkhoff-Gustavson normal-form method
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1998
|
Н.А. Чеканов
Masaru Hongo
V. A. Rostovt︠s︡ev
Yoshio Uwano
S. I. Vinitsky
|
+
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Isotropic oscillator in the space of constant positive curvature. Interbasis expansions
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1997
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G. S. Pogosyan
A. N. Sissakian
S. I. Vinitsky
|
+
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Isotropic oscillator in the space of constant positive curvature. Interbasis expansions
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1997
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Ye. M. Hakobyan
S. I. Vinitsky
G. S. Pogosyan
A. N. Sissakian
|
+
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New approach for numerical solution of configuration-space Faddeev equations
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1996
|
J. Bernabéu
Vladimir Suslov
T. A. Strizh
S. I. Vinitsky
|
+
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Polarization coherent states and geometric phases in quantum optics
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1996
|
V. P. Karassiov
Vladimir L. Derbov
S. I. Vinitsky
Olga M. Priyutova
|
+
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GITA: A REDUCE program for the normalization of polynomial Hamiltonians
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1995
|
Vasileios Basios
Н.А. Чеканов
Blagoja Markovski
V. A. Rostovt︠s︡ev
S. I. Vinitsky
|
+
|
Spectral geometry: two exactly solvable models
|
1994
|
Yu. A. Kuperin
B. S. Pavlov
G.E. Rudin
S. I. Vinitsky
|
+
|
Interbasis “Sphere—Cylinder” Expansions for the Oscillator in the Three—Dimensional Space of Constant Positive Curvature
|
1994
|
G. S. Pogosyan
A. N. Sissakian
S. I. Vinitsky
|
+
|
Topological phases in quantum theory : International Seminar on Geometrical Aspects of Quantum Theory, Dubna, USSR, 2-4 September 1988
|
1989
|
Blagoja Markovski
S. I. Vinitsky
|
+
|
Adiabatic representation for the three-body problem in the limit of separated atoms in appropriate coordinates
|
1987
|
M. B. Kadomtsev
S. I. Vinitsky
Filip R. Vukajlović
|