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SCHEMES OF FINITE ELEMENT METHOD FOR SOLVING MULTIDIMENSIONAL BOUNDARY VALUE PROBLEMS

Article

Batgerel Balt, Vinitsky S.I., Chuluunbaatar Ochbadrakh, Buša Jan, Blinkov Y.A., Gusev A.A., Deveikis Algirdas, Chuluunbaatar Galmandakh, Ulziibayar Vandandoo

Journal of Mathematical Sciences. Том 279. 2024. С. 738-755

DISCRETE DYNAMICS OF STATE PARAMETERS OF FRACTAL THERMODYNAMICS OF COVID-19 PANDEMICS

Article

Tsvetkov V.P., Mikheev S.A., Tsvetkov I.V., Derbov V.L., Gusev A.A., Vinitsky S.I.

Mathematical Modelling and Geometry. Том 12. 2024. С. 1-18

HERMITE INTERPOLATION POLYNOMIALS ON PARALLELEPIPEDS AND FEM APPLICATIONS

Article

Gusev A.A., Chuluunbaatar Galmandakh, Chuluunbaatar Ochbadrakh, Vinitsky S.I., Blinkov Y.A., Deveikis Algirdas, Hess P.O., Hai L.L.

Mathematics in Computer Science. Том 17. 2023. 18 с.

ГЕОМЕТРИЧЕСКАЯ КОЛЛЕКТИВНАЯ МОДЕЛЬ АТОМНЫХ ЯДЕР: РЕАЛИЗАЦИИ МЕТОДА КОНЕЧНЫХ ЭЛЕМЕНТОВ

Article

Гусев А.А., Чулуунбаатар Г., Виницкий С.И., Погосян Г.С., Девейкис А., Гесс П.О., Хай Л.Л.

Физика элементарных частиц и атомного ядра. Том 54. 2023. 1152 с.

GEOMETRIC COLLECTIVE MODEL OF ATOMIC NUCLEI: FINITE ELEMENT METHOD IMPLEMENTATIONS

Article

Gusev A.A., Chuluunbaatar G., Vinitsky S.I., Pogosyan G.S., Deveikis A., Hess P.O., Hai L.L.

Physics of Particles and Nuclei. Том 54. 2023. С. 1011-1017

KANTBP 3.1: A PROGRAM FOR COMPUTING ENERGY LEVELS, REFLECTION AND TRANSMISSION MATRICES, AND CORRESPONDING WAVE FUNCTIONS IN THE COUPLED-CHANNEL AND ADIABATIC APPROACHES

Article

Chuluunbaatar O., Gusev A.A., Vinitsky S.I., Abrashkevich A.G., Wen P.W., Lin C.J.

Computer Physics Communications. Том 278. 2022.

MODELING THE MULTIFRACTAL DYNAMICS OF COVID-19 PANDEMIC

Article

Derbov V.L., Gusev A.A., Vinitsky S.I., Mikheev S.A., Tsvetkov I.V., Tsvetkov V.P.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Том 12194. 2022.

MODELING THE MULTIFRACTAL DYNAMICS OF COVID-19 PANDEMIC

Article

Tsvetkov V.P., Mikheev S.A., Tsvetkov I.V., Derbov V.L., Gusev A.A., Vinitsky S.I.

Chaos, Solitons and Fractals. Том 161. 2022. 112301 с.

APPROXIMATE SOLUTIONS OF THE RSIR MODEL OF COVID-19 PANDEMIC

Article

Pen’Kov F.M., Derbov V.L., Chuluunbaatar G., Gusev A.A., Vinitsky S.I., Góźdź M., Krassovitskiy P.M.

IFIP Advances in Information and Communication Technology. Том 616 IFIP. 2021. С. 53-64

POTENTIAL ROOTS OF THE DEEP SUBBARRIER HEAVY-ION FUSION HINDRANCE PHENOMENON WITHIN THE SUDDEN APPROXIMATION APPROACH

Article

Wen P.W., Lin C.J., Nazmitdinov R.G., Vinitsky S.I., Chuluunbaatar O., Gusev A.A., Nasirov A.K., Jia H.M., Góźdź A.

Physical Review C. Том 103. 2021.

REDUCED SIR MODEL OF COVID-19 PANDEMIC

Article

Vinitsky S.I., Gusev A.A., Derbov V.L., Krassovitskiy P.M., Pen'kov F.M., Chuluunbaatar G.

Computational Mathematics and Mathematical Physics. Том 61. 2021. С. 376-387

SPECTRUM OF BERYLLIUM DIMER IN GROUND X1ΣG+ STATE

Article

Derbov V.L., Chuluunbaatar G., Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Góźdź A., Krassovitskiy P.M., Filikhin I., Mitin A.V.

Journal of Quantitative Spectroscopy and Radiative Transfer. Том 262. 2021.

SPECTRUM OF BERYLLIUM DIMER IN GROUND X1ΣG+ STATE

Article

Derbov V.L., Chuluunbaatar G., Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Krassovitskiy P.M., Góźdź A., Filikhin I., Mitin A.V.

Journal of Quantitative Spectroscopy and Radiative Transfer. Том 262. 2021. 107529 с.

THE ASYMPTOTIC SOLUTION OF A SINGULARLY PERTURBED CAUCHY PROBLEM FOR FOKKER-PLANCK EQUATION

Article

Bouatta M.A., Vasilyev S.A., Vinitsky S.I.

Discrete and Continuous Models and Applied Computational Science. Том 29. 2021. С. 126-145

A MAPLE IMPLEMENTATION OF THE FINITE ELEMENT METHOD FOR SOLVING METASTABLE STATE PROBLEMS FOR SYSTEMS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS

Article

Chuluunbaatar G., Gusev A.A., Derbov V.L., Vinitsky S.I., Chuluunbaatar O.

Computer Algebra. 2021. С. 42-45

CONSTRUCTION OF MULTIVARIATE INTERPOLATION HERMITE POLYNOMIALS FOR FINITE ELEMENT METHOD

Article

Chuluunbaatar G., Gusev A.A., Chuluunbaatar O., Gerdt V.P., Vinitsky S.I., Derbov V.L., Gozdz A., Krassovitskiy P.M., Hai L.L.

MATHEMATICAL MODELING AND COMPUTATIONAL PHYSICS 2019 (MMCP 2019). Том 226. 2020.

ON CALCULATIONS OF METASTABLE AND RYDBERG STATES OF DIATOMIC BERYLLIUM MOLECULE AND ANTIPROTONIC HELIUM ATOM

Article

Derbov V.L., Chuluunbaatar G., Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Góźdź A., Krassovitskiy P.M., Mitin A.V.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Том 11458. 2020.

KANTBP 4M PROGRAM FOR SOLVING THE SCATTERING PROBLEM FOR A SYSTEM OF ORDINARY SECOND-ORDER DIFFERENTIAL EQUATIONS

Article

Chuluunbaatar G., Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Hai L.L.

MATHEMATICAL MODELING AND COMPUTATIONAL PHYSICS 2019 (MMCP 2019). Том 226. 2020.

FROZEN-PLANET RESONANCES IN DOUBLY EXCITED HELIUM ATOM; ADIABATIC APPROACH

Article

Grozdanov T.P., Gusev A.A., Solov’Ev E.A., Vinitsky S.I.

European Physical Journal D. Том 74. 2020.

APPLICATION OF KANTBP PROGRAM OF FINITE ELEMENT METHOD IN THE COUPLED-CHANNELS CALCULATIONS FOR HEAVY-ION FUSION REACTIONS

Article

Vinitsky S.I., Wen P.W., Gusev A.A., Chuluunbaatar O., Nazmitdinov R.G., Nasirov A.K., Lin C.J., Jia H.M., Gózdz A.

Acta Physica Polonica B, Proceedings Supplement. Том 13. 2020. С. 549-558

NEAR-BARRIER HEAVY-ION FUSION: ROLE OF BOUNDARY CONDITIONS IN COUPLING OF CHANNELS

Article

Wen P.W., Chuluunbaatar O., Gusev A.A., Nazmitdinov R.G., Nasirov A.K., Vinitsky S.I., Lin C.J., Jia H.M.

Physical Review C. Том 101. 2020.

SYMBOLIC-NUMERIC ALGORITHM FOR COMPUTING ORTHONORMAL BASIS OF O(5) × SU(1,1) GROUP

Article

Deveikis A., Gusev A.A., Gerdt V.P., Vinitsky S.I., Góźdź A., Pȩdrak A., Burdik Č., Pogosyan G.S.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Том 12291 LNCS. 2020. С. 206-227

ALGORITHM FOR CALCULATING INTERPOLATION HERMITE POLYNOMIALS IN D-DIMENSIONAL HYPERCUBE IN THE ANALYTICAL FORM

Article

Gusev A.A., Chuluunbaatar G., Chuluunbaatar O., Gerdt V.P., Vinitsky S.I., Hai L.L., Lua T.T., Derbov V.L., Góźdź A.

Computer Algebra. 2019. С. 119-128

APPLICATION OF FINITE ELEMENT METHOD PROGRAMS TO THE CALCULATION OF VIBRATION-ROTATION STATES OF A DIATOMIC BERYLLIUM MOLECULE

Article

Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Derbov V.L., Gozdz A., Krassovitskiy P.M., Filikhin I., Mitin A.V.

10th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, ICUMT 2018. Moscow, Russia, November 05-09, 2018.. Том 2018-November. 2019.

ON CALCULATION OF QUADRUPOLE OPERATOR IN ORTHOGONAL BARGMANN-MOSHINSKY BASIS OF SU(3) GROUP

Article

Deveikis A., Gusev A.A., Vinitsky S.I., Pedrak A., Burdík Č., Góźdź A., Krassovitskiy P.M.

Journal of Physics: Conference Series. Том 1416. 2019.

FINITE ELEMENT METHOD FOR SOLVING THE COLLECTIVE NUCLEAR MODEL WITH TETRAHEDRAL SYMMETRY

Article

Gusev A.A., Vinitsky S.I., Chuluunbaatar O., Góźdź A., Dobrowolski A., Mazurek K., Krassovitskiy P.M.

Acta Physica Polonica B, Proceedings Supplement. Том 12. 2019. С. 589-594

ON ROTATIONAL-VIBRATIONAL SPECTRUM OF DIATOMIC BERYLLIUM MOLECULE

Article

Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Derbov V.L., Góźdź A., Krassovitskiy P.M., Filikhin I., Mitin A.V., Hai L.L., Lua T.T.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Том 11066. 2019.

SYMBOLIC-NUMERICAL ALGORITHM FOR LARGE SCALE CALCULATIONS THE ORTHONORMAL SU(3) BM BASIS

Article

Deveikis A., Gusev A.A., Gerdt V.P., Vinitsky S.I., Góźdź A., Pȩdrak A., Burdik Č.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Том 11661 LNCS. 2019. С. 91-106

HIGH-ACCURACY FINITE ELEMENT METHOD: BENCHMARK CALCULATIONS

Article

Gusev A., Vinitsky S., Chuluunbaatar O., Chuluunbaatar G., Gerdt V., Derbov V., Góźdź A., Krassovitskiy P.

EPJ Web of Conferences. Том 173. 2018.

PROJECTION EVOLUTION OF QUANTUM STATES—THE DELAYED CHOICE PUZZLE

Article

Góźdź M., Góźdź A., Gusev A.A., Vinitsky S.I.

Physics of Atomic Nuclei. Том 81. 2018. С. 853-857

SYMBOLIC ALGORITHM FOR GENERATING THE ORTHONORMAL BARGMANN–MOSHINSKY BASIS FOR SU(3) GROUP

Article

Deveikis A., Gusev A.A., Gerdt V.P., Vinitsky S.I., Góźdź A., Pȩdrak A.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Том 11077 LNCS. 2018. С. 131-145

INTERPOLATION HERMITE POLYNOMIALS FOR FINITE ELEMENT METHOD

Article

Gusev A., Vinitsky S., Chuluunbaatar O., Chuluunbaatar G., Gerdt V., Derbov V., Góźdź A., Krassovitskiy P.

EPJ Web of Conferences. Том 173. 2018.

ADIABATIC REPRESENTATION FOR ATOMIC DIMERS AND TRIMERS IN COLLINEAR CONFIGURATION

Article

Gusev A.A., Vinitsky S.I., Chuluunbaatar O., Góźdź A., Derbov V.L., Krassovitskiy P.M.

Physics of Atomic Nuclei. Том 81. 2018. С. 945-970

SOLUTION OF QUANTUM MECHANICAL PROBLEMS USING FINITE ELEMENT METHOD AND PARAMETRIC BASIS FUNCTIONS

Article

Chuluunbaatar O., Vinitsky S.I., Gusev A.A., Derbov V.L., Krassovitskiy P.M.

Bulletin of the Russian Academy of Sciences: Physics. Том 82. 2018. С. 654-660

PARAMETRIC BASES FOR ELLIPTIC BOUNDARY VALUE PROBLEM

Article

Gusev A.A., Vinitsky S.I., Chuluunbaatar O., Derbov V.L., Góźdź A., Krassovitskiy P.M.

Journal of Physics: Conference Series. Том 965. 2018.

POINT SYMMETRIES IN THE NUCLEAR SU(3) PARTNER GROUPS MODEL

Article

Góźdź A., Pȩdrak A., Gusev A.A., Vinitsky S.I.

Acta Physica Polonica B, Proceedings Supplement. Том 11. 2018. С. 19-27

QUANTUM TRANSPARENCY OF BARRIERS AND REFLECTION FROM WELLS FOR CLUSTERS OF IDENTICAL PARTICLES

Article

Chuluunbaatar O., Vinitsky S.I., Gusev A.A., Derbov V.L., Krassovitskiy P.M.

Bulletin of the Russian Academy of Sciences: Physics. Том 82. 2018. С. 648-653

ONE-DIMENSIONAL "ATOM" WITH ZERO-RANGE POTENTIAL PERTURBED BY FINITE SEQUENCE OF ZERO-DURATION LASER PULSES

Article

Gusev A.A., Chuluunbaatar O., Popov Yu.V., Vinitsky S.I., Derbov V.L., Lovetskiy K.P.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Том 10717. 2018.

SYMBOLIC-NUMERICAL ALGORITHMS FORÂ SOLVING ELLIPTIC BOUNDARY-VALUE PROBLEMS USING MULTIVARIATE SIMPLEX LAGRANGE ELEMENTS

Article

Gusev A.A., Gerdt V.P., Chuluunbaatar O., Chuluunbaatar G., Vinitsky S.I., Derbov V.L., Góźdź A., Krassovitskiy P.M.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Том 11077 LNCS. 2018. С. 197-213

FINITE ELEMENT METHOD FOR CALCULATING SPECTRAL AND OPTICAL CHARACTERISTICS OF AXIALLY SYMMETRIC QUANTUM DOTS

Article

Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Derbov V.L., Hai L.L., Kazaryan E.M., Sarkisyan H.A.

Progress in Biomedical Optics and Imaging - Proceedings of SPIE. Том 10717. 2018.

TRANSMISSION OF CLUSTERS CONSISTING OF A FEW IDENTICAL PARTICLES THROUGH BARRIERS AND WELLS

Article

Gusev A.A., Vinitsky S.I., Chuluunbaatar O., Derbov V.L., Gózdz A., Krassovitskiy P.M.

Acta Physica Polonica B, Proceedings Supplement. Том 10. 2017. С. 269-274

THREE-BODY SCATTERING MODEL: DIATOMIC HOMONUCLEAR MOLECULE AND ATOM IN COLLINEAR CONFIGURATION

Article

Vinitsky S.I., Gusev A.A., Chuluunbaatar O., Derbov V.L., Krassovitskiy P.M., Hai L.L.

Proceedings of SPIE - The International Society for Optical Engineering. Том 10337. 2017.

ALGORITHMS FOR SOLVING THE PARAMETRIC SELF-ADJOINT 2D ELLIPTIC BOUNDARY-VALUE PROBLEM USING HIGH-ACCURACY FINITE ELEMENT METHOD

Article

Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Derbov V.L., Gozdz A.

RUDN Journal of Mathematics, Information Sciences and Physics. Том 25. 2017. С. 36-55

SYMBOLIC-NUMERICAL ALGORITHM FOR GENERATING INTERPOLATION MULTIVARIABLE HERMITE POLYNOMIALS OF HIGH-ACCURACY FINITE ELEMENT METHOD

Article

Gusev A.A., Gerdt V.P., Chuluunbaatar O., Chuluunbaatar G., Vinitsky S.I., Derbov V.L., Gozdz A.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Том vol 10490. 2017. С. 134-150

PARAMETRIC BASIS FUNCTIONS FOR COLLECTIVE NUCLEAR MODELS

Article

Gusev A.A., Vinitsky S.I., Góźdź A., Dobrowolski A.

Acta Physica Polonica B, Proceedings Supplement. Том 10. 2017. С. 99-105

SYMBOLIC-NUMERICAL ALGORITHMS FOR SOLVING THE PARAMETRIC SELF-ADJOINT 2D ELLIPTIC BOUNDARY-VALUE PROBLEM USING HIGH-ACCURACY FINITE ELEMENT METHOD

Article

Gusev A.A., Gerdt V.P., Chuluunbaatar O., Chuluunbaatar G., Vinitsky S.I., Derbov V.L., Góźdź A.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Том 10490 LNCS. 2017. С. 151-166

ALGORITHMS AND PROGRAMS FOR SOLVING BOUNDARY-VALUE PROBLEMS FOR SYSTEMS OF SECOND-ORDER ODES WITH PIECEWISE CONSTANT POTENTIALS: MULTICHANNEL SCATTERING AND EIGENVALUE PROBLEMS

Article

Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Hai L.L., Derbov V.L., Gozdz A.

RUDN Journal of Mathematics, Information Sciences and Physics. 2016. С. 38-52

KANTOROVICH AND GALERKIN-TYPE METHODS FOR MODELLING QUANTUM TUNNELING OF COMPOSITE SYSTEMS THROUGH BARRIERS

Article

Vinitsky S.I., Gusev A.A., Chuluunbaatar O., Gozdz A., Derbov V.L.

Distributed computer and communication networks: control, computation, communications (DCCN-2016): Proceedings of the Nineteenth International Scientific Conference. Russia, Moscow, 21-25 November 2016. Vol. 2: Mathematical Modeling, Simulation and Control Problems. Том 2. 2016. С. 280-290

ALGORITHMS FOR SOLVING THE BOUNDARY-VALUE PROBLEMS FOR ATOMIC TRIMERS IN COLLINEAR CONFIGURATION USING THE KANTOROVICH METHOD

Article

Gusev A.A., Chuluunbaatar O., Vinitsky S.I., Derbov V.L.

RUDN Journal of Mathematics, Information Sciences and Physics. 2016. С. 56-76

METASTABLE STATES OF A COMPOSITE SYSTEM TUNNELING THROUGH REPULSIVE BARRIERS

Article

Gusev A.A., Vinitsky S.I., Chuluunbaatar O., Derbov V.L., Gozdz A., Krassovitskiy P.M.

Theoretical and Mathematical Physics. 2016. С. 21-40

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