On Normalization of a Class of Polynomial Hamiltonians: From Ordinary and Inverse Points of View. - Yoshio Uwano; Nikolai A. Chekanov; Vitaly Rostovtsev; Sergue I. Vinitsky (CASC, 1999)

Symbolic Algorithms of Algebraic Perturbation Theory: Hydrogen Atom in the Field of Distant Charge. - Alexander Gusev 001; Valentin Samoylov; Vitaly Rostovtsev; Sergey I. Vinitsky (CASC, 2001)

Algebraic Perturbation Theory for Hydrogen Atom in Weak Electric Fields. - Alexander Gusev 001; V. N. Samoilov; V. A. Rostovtsev; Sergey I. Vinitsky (Program. Comput. Softw., 2001)

Kantorovich Method for Solving the Multi-dimensional Eigenvalue and Scattering Problems of Schrödinger Equation. - Ochbadrakh Chuluunbaatar; Michail S. Kaschiev; Vera A. Kaschieva; Sergey I. Vinitsky (Numerical Methods and Application, 2002)

A Comparison of Algorithms for the Normalization and Quantization of Polynomial Hamiltonians. - Alexander Gusev 001; Nikolai A. Chekanov; V. A. Rostovtsev; Sergey I. Vinitsky; Yoshio Uwano (Program. Comput. Softw., 2004)

A MAPLE Symbolic-Numeric Program for Solving the 2D-Eigenvalue Problem by a Self-consistent Basis Method. - I. N. Belyaeva; Nikolai A. Chekanov; Alexander Gusev 001; V. A. Rostovtsev; Yu. A. Ukolov; Yoshio Uwano; Sergey I. Vinitsky (CASC, 2005)

Symbolic-Numerical Algorithm for Solving the Time-Dependent Schrödinger Equation by Split-Operator Method. - Alexander Gusev 001; Vladimir P. Gerdt; Michail S. Kaschiev; Vitaly Rostovtsev; Valentin Samoylov; Tatyana Tupikova; Yoshio Uwano; Sergey I. Vinitsky (CASC, 2005)

A REDUCE program for the normalization of polynomial Hamiltonians. - Yu. A. Ukolov; Nikolai A. Chekanov; A. A. Gusev 001; V. A. Rostovtsev; Sergey I. Vinitsky; Yoshio Uwano (Comput. Phys. Commun., 2005)

A Symbolic-Numeric Approach for Solving the Eigenvalue Problem for the One-Dimensional Schrödinger Equation. - I. N. Belyaeva; Nikolai A. Chekanov; Alexander Gusev 001; Vitaly Rostovtsev; Sergey I. Vinitsky (CASC, 2006)

A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in Magnetic Field. - Alexander Gusev 001; Vladimir P. Gerdt; Michail S. Kaschiev; Vitaly Rostovtsev; Valentin Samoylov; Tatyana Tupikova; Sergey I. Vinitsky (CASC, 2006)

Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation. - Sergey I. Vinitsky; Vladimir P. Gerdt; Alexander Gusev 001; Michail S. Kaschiev; V. A. Rostovtsev; V. N. Samoilov; T. V. Tupikova; Yoshio Uwano (Program. Comput. Softw., 2006)

A Symbolic-Numerical Algorithm for Solving the Eigenvalue Problem for a Hydrogen Atom in the Magnetic Field: Cylindrical Coordinates. - Ochbadrakh Chuluunbaatar; Alexander Gusev 001; Vladimir P. Gerdt; Michail S. Kaschiev; Vitaly Rostovtsev; Valentin Samoylov; Tatyana Tupikova; Sergey I. Vinitsky (CASC, 2007)

KANTBP: A program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach. - Ochbadrakh Chuluunbaatar; A. A. Gusev 001; A. G. Abrashkevich; A. Amaya-Tapia; Michail S. Kaschiev; S. Y. Larsen; Sergey I. Vinitsky (Comput. Phys. Commun., 2007)

A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem. - Sergey I. Vinitsky; Vladimir P. Gerdt; A. A. Gusev 001; Michail S. Kaschiev; Vitaly Rostovtsev; V. N. Samoilov; T. V. Tupikova; Ochbadrakh Chuluunbaatar (Program. Comput. Softw., 2007)

POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field. - Ochbadrakh Chuluunbaatar; A. A. Gusev 001; Vladimir P. Gerdt; V. A. Rostovtsev; Sergey I. Vinitsky; A. G. Abrashkevich; Michail S. Kaschiev; Vladislav V. Serov (Comput. Phys. Commun., 2008)

KANTBP 2.0: New version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach. - Ochbadrakh Chuluunbaatar; A. A. Gusev 001; Sergey I. Vinitsky; A. G. Abrashkevich (Comput. Phys. Commun., 2008)

Symbolic-Numerical Algorithms for Solving Parabolic Quantum Well Problem with Hydrogen-Like Impurity. - Sergey I. Vinitsky; Ochbadrakh Chuluunbaatar; Vladimir P. Gerdt; A. A. Gusev 001; V. A. Rostovtsev (CASC, 2009)

Erratum to: Program AEAA_v1_0, "POTHMF: A program for computing potential curves and matrix elements of the coupled adiabatic radial equations for a hydrogen-like atom in a homogeneous magnetic field" [Computer Physics Communications 178 (2008) 301]. - Ochbadrakh Chuluunbaatar; A. A. Gusev 001; Vladimir P. Gerdt; V. A. Rostovtsev; Sergey I. Vinitsky; A. G. Abrashkevich; Michail S. Kaschiev; Vladislav V. Serov (Comput. Phys. Commun., 2009)

Erratum to: Program ADZH_v2_0, "KANTBP 2.0: New version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach" [Computer Physics Communications 179 (2008) 685]. - Ochbadrakh Chuluunbaatar; A. A. Gusev 001; Sergey I. Vinitsky; A. G. Abrashkevich (Comput. Phys. Commun., 2009)

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. - Ochbadrakh Chuluunbaatar; A. A. Gusev 001; Sergey I. Vinitsky; A. G. Abrashkevich (Comput. Phys. Commun., 2009)

Symbolic-Numeric Algorithms for Computer Analysis of Spheroidal Quantum Dot Models. - A. A. Gusev 001; Ochbadrakh Chuluunbaatar; Vladimir P. Gerdt; V. A. Rostovtsev; Sergey I. Vinitsky; V. L. Derbov; Vladislav V. Serov (CASC, 2010)

Symbolic-Numerical Algorithms to Solve the Quantum Tunneling Problem for a Coupled Pair of Ions. - A. A. Gusev 001; Sergey I. Vinitsky; Ochbadrakh Chuluunbaatar; Vladimir P. Gerdt; V. A. Rostovtsev (CASC, 2011)

Symbolic-Numerical Calculations of High-|m| Rydberg States and Decay Rates in Strong Magnetic Fields. - Alexander Gusev 001; Sergue I. Vinitsky; Ochbadrakh Chuluunbaatar; Vladimir P. Gerdt; Luong Le Hai; Vitaly Rostovtsev (CASC, 2012)

Symbolic-Numerical Algorithm for Generating Cluster Eigenfunctions: Identical Particles with Pair Oscillator Interactions. - Alexander Gusev 001; Sergue I. Vinitsky; Ochbadrakh Chuluunbaatar; Vitaly Rostovtsev; Luong Le Hai; Vladimir Derbov; Andrzej Gózdz; Evgenii Klimov (CASC, 2013)

Symbolic-Numerical Algorithm for Generating Cluster Eigenfunctions: Tunneling of Clusters through Repulsive Barriers. - Sergue I. Vinitsky; Alexander Gusev 001; Ochbadrakh Chuluunbaatar; Vitaly Rostovtsev; Luong Le Hai; Vladimir Derbov; Pavel Krassovitskiy (CASC, 2013)

Symbolic-Numerical Solution of Boundary-Value Problems with Self-adjoint Second-Order Differential Equation Using the Finite Element Method with Interpolation Hermite Polynomials. - Alexander Gusev 001; Ochbadrakh Chuluunbaatar; Sergey I. Vinitsky; Vladimir Derbov; Andrzej Gózdz; Luong Le Hai; Vitaly Rostovtsev (CASC, 2014)

Symbolic-Numeric Algorithm for Solving the Problem of Quantum Tunneling of a Diatomic Molecule through Repulsive Barriers. - Sergue I. Vinitsky; Alexander Gusev 001; Ochbadrakh Chuluunbaatar; Luong Le Hai; Andrzej Gózdz; Vladimir Derbov; Pavel Krassovitskiy (CASC, 2014)

POTHEA: A program for computing eigenvalues and eigenfunctions and their first derivatives with respect to the parameter of the parametric self-adjoined 2D elliptic partial differential equation. - A. A. Gusev 001; Ochbadrakh Chuluunbaatar; Sergey I. Vinitsky; A. G. Abrashkevich (Comput. Phys. Commun., 2014)

KANTBP 3.0: New version of a program for computing energy levels, reflection and transmission matrices, and corresponding wave functions in the coupled-channel adiabatic approach. - Alexander Gusev 001; Ochbadrakh Chuluunbaatar; Sergey I. Vinitsky; A. G. Abrashkevich (Comput. Phys. Commun., 2014)

Symbolic Algorithm for Generating Irreducible Bases of Point Groups in the Space of SO(3) Group. - A. A. Gusev 001; Vladimir P. Gerdt; Sergey I. Vinitsky; V. L. Derbov; Andrzej Gózdz; Aleksandra Pedrak (CASC, 2015)

Symbolic-Numeric Solution of Boundary-Value Problems for the Schrödinger Equation Using the Finite Element Method: Scattering Problem and Resonance States. - Alexander Gusev 001; Luong Le Hai; Ochbadrakh Chuluunbaatar; Vandandoo Ulziibayar; Sergey I. Vinitsky; V. L. Derbov; Andrzej Gózdz; Vitaly Rostovtsev (CASC, 2015)

Symbolic-Numeric Algorithms for Solving BVPs for a System of ODEs of the Second Order: Multichannel Scattering and Eigenvalue Problems. - Alexander Gusev 001; Vladimir P. Gerdt; Luong Le Hai; V. L. Derbov; Sergey I. Vinitsky; Ochbadrakh Chuluunbaatar (CASC, 2016)

Symbolic Algorithm for Generating Irreducible Rotational-Vibrational Bases of Point Groups. - A. A. Gusev 001; Vladimir P. Gerdt; Sergey I. Vinitsky; V. L. Derbov; Andrzej Gózdz; Aleksandra Pedrak; A. Szulerecka; A. Dobrowolski (CASC, 2016)

Symbolic-Numerical Algorithm for Generating Interpolation Multivariate Hermite Polynomials of High-Accuracy Finite Element Method. - A. A. Gusev 001; Vladimir P. Gerdt; Ochbadrakh Chuluunbaatar; G. Chuluunbaatar; Sergey I. Vinitsky; V. L. Derbov; Andrzej Gózdz (CASC, 2017)

Symbolic-Numerical Algorithms for Solving the Parametric Self-adjoint 2D Elliptic Boundary-Value Problem Using High-Accuracy Finite Element Method. - A. A. Gusev 001; Vladimir P. Gerdt; Ochbadrakh Chuluunbaatar; G. Chuluunbaatar; Sergey I. Vinitsky; V. L. Derbov; Andrzej Gózdz (CASC, 2017)

Symbolic Algorithm for Generating the Orthonormal Bargmann-Moshinsky Basis for mathrm SU(3) Group. - Algirdas Deveikis; A. A. Gusev 001; Vladimir P. Gerdt; Sergey I. Vinitsky; Andrzej Gózdz; Aleksandra Pedrak (CASC, 2018)

Symbolic-Numerical Algorithms for Solving Elliptic Boundary-Value Problems Using Multivariate Simplex Lagrange Elements. - A. A. Gusev 001; Vladimir P. Gerdt; Ochbadrakh Chuluunbaatar; G. Chuluunbaatar; Sergey I. Vinitsky; V. L. Derbov; Andrzej Gózdz; Pavel Krassovitskiy (CASC, 2018)

Application of Finite Element Method Programs to the Calculation of Vibration-Rotation States of a Diatomic Beryllium Molecule. - A. A. Gusev 001; Ochbadrakh Chuluunbaatar; Sergey I. Vinitsky; V. L. Derbov; Andrzej Gózdz; Pavel Krassovitskiy; I. Filikhin; A. V. Mitin (ICUMT, 2018)

Symbolic-Numerical Algorithm for Large Scale Calculations the Orthonormal SU(3) BM Basis. - Algirdas Deveikis; A. A. Gusev 001; Vladimir P. Gerdt; Sergey I. Vinitsky; Andrzej Gózdz; Aleksandra Pedrak; Cestmir Burdik (CASC, 2019)

Symbolic-Numeric Algorithm for Computing Orthonormal Basis of O(5)˟ SU(1, 1) Group. - Algirdas Deveikis; Alexander Gusev 001; Vladimir P. Gerdt; Sergue I. Vinitsky; Andrzej Gózdz; Aleksandra Pedrak; Cestmir Burdik; George S. Pogosyan (CASC, 2020)

A Maple Implementation of the Finite Element Method for Solving Boundary-Value Problems for Systems of Second-Order Ordinary Differential Equations. - Galmandakh Chuluunbaatar; Alexander Gusev 001; Vladimir Derbov; Sergue I. Vinitsky; Ochbadrakh Chuluunbaatar; Luong Le Hai; Vladimir P. Gerdt (MC, 2020)

Approximate Solutions of the RSIR Model of COVID-19 Pandemic. - Feodor M. Pen'kov; V. L. Derbov; G. Chuluunbaatar; A. A. Gusev 001; Sergey I. Vinitsky; M. Gózdz; Pavel Krassovitskiy (ANTICOVID, 2021)

Symbolic-Numeric Algorithms for Computing Orthonormal Bases of SU(3) Group for Orbital Angular Momentum. - Algirdas Deveikis; Alexander Gusev 001; Sergue I. Vinitsky; Andrzej Gózdz; Aleksandra Pedrak; Cestmir Burdik; George S. Pogosyan (CASC, 2021)

Symbolic-Numeric Algorithm for Calculations in Geometric Collective Model of Atomic Nuclei. - Algirdas Deveikis; Alexander Gusev 001; Sergue I. Vinitsky; Yuri A. Blinkov; Andrzej Gózdz; Aleksandra Pedrak; Peter O. Hess (CASC, 2022)

PI-type fully symmetric quadrature rules on the 3-, ..., 6-simplexes. - G. Chuluunbaatar; Ochbadrakh Chuluunbaatar; Alexander Gusev 001; Sergey I. Vinitsky (Comput. Math. Appl., 2022)

KANTBP 3.1: A program for computing energy levels, reflection and transmission matrices, and corresponding wave functions in the coupled-channel and adiabatic approaches. - Ochbadrakh Chuluunbaatar; Alexander Gusev 001; Sergey I. Vinitsky; A. G. Abrashkevich; P. W. Wen; C. J. Lin (Comput. Phys. Commun., 2022)

Symbolic-Numerical Algorithm for Solving the Problem of Heavy Ion Collisions in an Optical Model with a Complex Potential. - A. A. Gusev 001; Ochbadrakh Chuluunbaatar; V. L. Derbov; Rashid Nazmitdinov; Sergey I. Vinitsky; P. W. Wen; C. J. Lin; H. M. Jia; Luong Le Hai (CASC, 2023)

ARSENY: A program for computing inelastic transitions via hidden crossings in one-electron atomic ion-ion collisions with classical description of nuclear motion. - Alexander Gusev 001; Evgeni A. Solov'ev; Sergue I. Vinitsky (Comput. Phys. Commun., 2023)

Hermite Interpolation Polynomials on Parallelepipeds and FEM Applications. - Alexander Gusev 001; Galmandakh Chuluunbaatar; Ochbadrakh Chuluunbaatar; Sergue I. Vinitsky; Yuri A. Blinkov; Algirdas Deveikis; Peter O. Hess; Luong Le Hai (Math. Comput. Sci., 2023)

Symbolic-Numeric Solving Boundary Value Problems: Collective Models of Atomic Nuclei. - Balt Batgerel; Ochbadrakh Chuluunbaatar; Vladimir Derbov; Alexander Gusev 001; Luong Le Hai; Algirdas Deveikis; Peter O. Hess; Evgenii V. Mardyban; Mariia A. Mardyban; Sergue I. Vinitsky; Peiwei Wen (CASC, 2024)