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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
Alexander A. Gusev
,
Ochbadrakh Chuluunbaatar
,
Sergue I. Vinitsky
,
Vladimir L. Derbov
,
Andrzej Góźdź
,
Luong Le Hai
,
Vitaly A. Rostovtsev
Lecture Notes in Computer Science
8660
, 2014, pp. 138-154
Symbolic-numeric algorithm for solving the problem of quantum tunneling of a diatomic molecule through repulsive barriers
Sergue Vinitsky
,
Alexander Gusev
,
Ochbadrakh Chuluunbaatar
,
Luong Le Hai
,
Andrzej Góźdź
,
Vladimir L. Derbov
,
Pavel Krassovitskiy
Lecture Notes in Computer Science
8660
, 2014, pp. 472-490
Symbolic-numerical algorithm for generating cluster eigenfunctions: Identical particles with pair oscillator interactions
Alexander Gusev
,
Sergue Vinitsky
,
Ochbadrakh Chuluunbaatar
,
Vitaly Rostovtsev
,
Luong Le Hai
,
Vladimir Derbov
,
Andrzej Góźdź
,
Evgenii Klimov
Lecture Notes in Computer Science
8136
, 2013, pp. 155-168
Symbolic-numerical algorithm for generating cluster eigenfunctions: Tunneling of clusters through repulsive barriers
Sergue Vinitsky
,
Alexander Gusev
,
Ochbadrakh Chuluunbaatar
,
Vitaly Rostovtsev
,
Luong Le Hai
,
Vladimir Derbov
,
Pavel Krassovitskiy
Lecture Notes in Computer Science
8136
, 2013, pp. 427-442
Symbolic-numerical calculations of high-
|m|
Rydberg states and decay rates in strong magnetic fields
Alexander Gusev
,
Sergue Vinitsky
,
Ochbadrakh Chuluunbaatar
,
Vladimir Gerdt
,
Luong Le Hai
,
Vitaly Rostovtsev
Lecture Notes in Computer Science
7442
, 2012, pp. 155-171
A symbolic-numerical algorithm for solving the eigenvalue problem for a hydrogen atom in the magnetic field: Cylindrical coordinates
Ochbadrakh Chuluunbaatar
,
Alexander Gusev
,
Vladimir Gerdt
,
Michail Kaschiev
,
Vitaly Rostovtsev
,
Valentin Samoylov
,
Tatyana Tupikova
,
Sergue Vinitsky
Lecture Notes in Computer Science
4770
, 2007, pp. 118-133
A symbolic-numerical algorithm for solving the eigenvalue problem for a hydrogen atom in magnetic field
Alexander Gusev
,
Vladimir Gerdt
,
Michail Kaschiev
,
Vitaly Rostovtsev
,
Valentin Samoylov
,
Tatyana Tupikova
,
Sergue Vinitsky
Lecture Notes in Computer Science
4194
, 2006, pp. 205-218
Symbolic-numerical algorithm for solving the time-dependent Schrödinger equation by split-operator method
Alexander Gusev
,
Vladimir Gerdt
,
Michail Kaschiev
,
Vitaly Rostovtsev
,
Valentin Samoylov
,
Tatyana Tupikova
,
Yoshio Uwano
,
Sergue Vinitsky
Lecture Notes in Computer Science
3718
, 2005, pp. 244-258
Discrete algorithms for symbolic computing of topological phases in interference microscopy
Alexander Gusev
,
Vladimir Andreev
,
Vladimir Derbov
,
Yuri Popov
,
Vitaly Rostovtsev
,
Sergue Vinitsky
Proceedings of the 7th International Workshop on Computer Algebra in Scientific Computing, CASC'2004 (St. Petersburg, Russia, July 12-19, 2004)
, 2004, pp. 233-241
The program LINA for the normalization of polynomial Hamiltonians
Alexander Gusev
,
Yuri Ukolov
,
Nikolai Chekanov
,
Vitaly Rostovtsev
,
Yoshio Uwano
,
Sergue Vinitsky
Proceedings of the 6th International Workshop on Computer Algebra in Scientific Computing, CASC'2003 (Passau, Germany, September 20-26, 2003)
, 2003, pp. 187-197
The programs for normalization and quantization of polynomial Hamiltonians
Alexander Gusev
,
Nikolai Chekanov
,
Vitaly Rostovtsev
,
Yoshio Uwano
,
Sergue Vinitsky
Proceedings of the 5th International Workshop on Computer Algebra in Scientific Computing, CASC'2002 (Yalta, Ukraine, September 22-27, 2002)
, 2002, pp. 147-157
Symbolic algorithms of algebraic perturbation theory: Hydrogen atom in the field of distant charge
Alexander Gusev
,
Valentin Samoilov
,
Vitaly Rostovtsev
,
Sergue Vinitsky
Proceedings of the 4th International Workshop on Computer Algebra in Scientific Computing, CASC'2001 (Konstanz, Germany, September 22-26, 2001)
, 2001, pp. 309-322
Symbolic algorithms of algebraic perturbation theory for a hydrogen atom: The Stark effect
Alexander Gusev
,
Valentin Samoilov
,
Vitaly Rostovtsev
,
Sergue Vinitsky
Proceedings of the 3rd Workshop on Computer Algebra in Scientific Computing, CASC'2000 (Samarkand, Uzbekistan, October 5-9, 2000)
, 2000, pp. 219-231
On normalization of a class of polylnomial hamiltonians: From ordinary and inverse points of view
Yoshio Uwano
,
Nikolai Chekanov
,
Vitaly Rostovtsev
,
Sergue Vinitsky
Proceedings of the 2nd Workshop on Computer Algebra in Scientific Computing, CASC'99 (Munich, Germany, May 31 - June 4, 1999)
, 1999, pp. 441-461