Edit Profile Trofimov, Vyacheslav A. Compute Distance To: Compute Author ID: trofimov.vyacheslav-a Published as: Trofimov, V.; Trofimov, V. A.; Trofimov, Vyacheslav; Trofimov, Vyacheslav A. External Links: Math-Net.Ru · ResearchGate Documents Indexed: 78 Publications since 1987, including 1 Book all top 5 Co-Authors 4 single-authored 12 Varentsova, Svetlana A. 9 Karamzin, Yuri N. 9 Zakharova, Irina G. 8 Loginova, Maria M. 6 Lysak, Tatiana M. 6 Matusevich, O. V. 5 Volkov, Alexey G. 4 Fedotov, M. V. 4 Karamzin, Yury N. 4 Tereshin, E. B. 3 Bondarenko, O. S. 3 Borhanifar, Abdollah 3 Egorenkov, Vladimir A. 3 Polyakov, Sergey V. 3 Trykin, Evgeny M. 2 Čiegis, Raimondas 2 Laukaitytẹ, Inga 2 Savenkova, N. P. 2 Sukhorukov, A. P. 1 Chertok, A. È. 1 Denisov, Anton D. 1 Dogadushkin, P. V. 1 Dorokhova, T. V. 1 Ivanova, I. S. 1 Jakusšev, Alexander 1 Kalinichenko, M. I. 1 Komarova, E. S. 1 Lan, Sheng 1 Magnitskiĭ, S. A. 1 Milyukova, Olga Yu. 1 Nikolaichev, A. N. 1 Peskov, N. V. 1 Ponomareva, Elizaveta V. 1 Safonov, V. N. 1 Titov, V. N. 1 Trofimov, V. V. 1 Troshchiev, Yu. V. 1 Zagurskii, D. Yu. all top 5 Serials 12 Computational Mathematics and Modeling 11 Moscow University Computational Mathematics and Cybernetics 8 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 8 Matematicheskoe Modelirovanie 6 Vestnik Moskovskogo Universiteta. Seriya 15 5 Computational Mathematics and Mathematical Physics 3 Differential Equations 3 Mathematical Modelling and Analysis 2 Doklady Mathematics 2 Differential Equations 1 Computer Physics Communications 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematical Modeling and Computational Experiment 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Discrete and Continuous Dynamical Systems all top 5 Fields 60 Optics, electromagnetic theory (78-XX) 33 Partial differential equations (35-XX) 31 Numerical analysis (65-XX) 14 Statistical mechanics, structure of matter (82-XX) 7 Quantum theory (81-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 22 Publications have been cited 43 times in 31 Documents Cited by ▼ Year ▼ Mathematical modelling in nonlinear optics. Zbl 0704.65049Karamzin, Yu. N.; Sukhorukov, A. P.; Trofimov, V. A. 10 1989 Comparison of finite-difference schemes for the Gross-Pitaevskii equation. Zbl 1169.82011Trofimov, V. A.; Peskov, N. V. 5 2009 Simulation of soliton solutions for the propagation of a femtosecond pulse in a medium with a cubic nonlinearity. Zbl 0964.78013Dorokhova, T. V.; Savenkova, N. P.; Trofimov, V. A. 3 2000 Numerical methods for problems describing heat self-interaction of optical radiation. Zbl 0969.80502Zakharova, I. G.; Karamzin, Yu. N.; Trofimov, V. A. 3 1989 Conservative finite-difference scheme for the problem of propagation of a femtosecond pulse in a nonlinear photonic crystal with nonreflecting boundary conditions. Zbl 1210.65140Tereshin, E. B.; Trofimov, V. A.; Fedotov, M. V. 2 2006 Difference scheme for three-frequency interaction of femtosecond pulses in the presence of nonlinear response dispersion. Zbl 1089.78019Borhanifar, A.; Volkov, A. G.; Trofimov, V. A. 2 2005 Soliton-like regime of femtosecond laser pulse propogation in bulk media under the conditions of SHG. Zbl 1118.78308Trofimov, Vyacheslav A.; Lysak, Tatiana M. 2 2005 On a new approach to the simulation of the nonlinear propagation of ultrashort laser pulses. Zbl 0953.78005Trofimov, V. A. 2 1998 Transmission of a few-cycle femtosecond pulse through an optically thin plate. Zbl 1338.78020Komarova, E. S.; Trofimov, V. A.; Fedotov, M. V. 1 2015 A new way for decreasing of amplitude of wave reflected from artificial boundary condition for 1D nonlinear Schrödinger equation. Zbl 1354.37090Trykin, Evgeny M.; Trofimov, Vyacheslav A. 1 2015 Iterative method for finding the eigenfunctions of a system of two Schrödinger equations with combined nonlinearity. Zbl 1164.35494Matusevich, O. V.; Trofimov, V. A. 1 2008 On a difference method for finding eigenmodes of the nonlinear Schrödinger equation. Zbl 1105.78008Varentsova, S. A.; Trofimov, V. A. 1 2005 A difference scheme for the solution to the problem of the femtosecond pulse interaction with a nonlinear mobility semiconductor. Zbl 1101.82043Loginova, M. M.; Trofimov, V. A. 1 2005 Conservative difference schemes for some problems of femtosecond nonlinear optics. Zbl 1103.78005Volkov, A. G.; Trofimov, V. A.; Tereshin, E. B. 1 2005 Conservative difference scheme for summary frequency generation of femtosecond pulse. Zbl 1118.78306Trofimov, Vyacheslav A.; Borhanifar, Abdolla; Volkov, Alexey G. 1 2005 Comparison of efficiency of various approaches to computer simulation of nonlinear interaction of three femtosecond pulses in optical fiber. Zbl 1105.78007Borhanifar, A.; Trofimov, V. A. 1 2004 Mathematical modelling the optical bistability based on a light-induced electric field. Zbl 1147.78303Varentsova, S. A.; Loginova, M. M.; Trofimov, V. A. 1 2003 Studying difference schemes for the problem of femtosecond pulse action in a photonic crystal. Zbl 1050.78012Trofimov, V. A.; Tereshin, E. B.; Fedotov, M. V. 1 2003 Invariants of nonlinear interaction of femtosecond pulses in the presence of third-order dispersion. Zbl 1056.81100Varentsova, S. A.; Trofimov, V. A. 1 2002 Bistability and uniqueness of solutions in the problem of second harmonic generation of femtosecond pulses. Zbl 1029.35205Lysak, T. M.; Trofimov, V. A. 1 2001 On the coomputation of the eigenvalues and eigenfunctions of the one-dimensional Schrödinger equation on adaptive grids. Zbl 1074.35571Varentsova, S. A.; Ponomareva, E. V.; Trofimov, V. A. 1 2000 On the modeling of macrokinetic of gas-phase reactions under the influence of optic radiation. Zbl 0974.78539Kalinichenko, M. I.; Karamzin, Yu. N.; Trofimov, V. A. 1 1990 Transmission of a few-cycle femtosecond pulse through an optically thin plate. Zbl 1338.78020Komarova, E. S.; Trofimov, V. A.; Fedotov, M. V. 1 2015 A new way for decreasing of amplitude of wave reflected from artificial boundary condition for 1D nonlinear Schrödinger equation. Zbl 1354.37090Trykin, Evgeny M.; Trofimov, Vyacheslav A. 1 2015 Comparison of finite-difference schemes for the Gross-Pitaevskii equation. Zbl 1169.82011Trofimov, V. A.; Peskov, N. V. 5 2009 Iterative method for finding the eigenfunctions of a system of two Schrödinger equations with combined nonlinearity. Zbl 1164.35494Matusevich, O. V.; Trofimov, V. A. 1 2008 Conservative finite-difference scheme for the problem of propagation of a femtosecond pulse in a nonlinear photonic crystal with nonreflecting boundary conditions. Zbl 1210.65140Tereshin, E. B.; Trofimov, V. A.; Fedotov, M. V. 2 2006 Difference scheme for three-frequency interaction of femtosecond pulses in the presence of nonlinear response dispersion. Zbl 1089.78019Borhanifar, A.; Volkov, A. G.; Trofimov, V. A. 2 2005 Soliton-like regime of femtosecond laser pulse propogation in bulk media under the conditions of SHG. Zbl 1118.78308Trofimov, Vyacheslav A.; Lysak, Tatiana M. 2 2005 On a difference method for finding eigenmodes of the nonlinear Schrödinger equation. Zbl 1105.78008Varentsova, S. A.; Trofimov, V. A. 1 2005 A difference scheme for the solution to the problem of the femtosecond pulse interaction with a nonlinear mobility semiconductor. Zbl 1101.82043Loginova, M. M.; Trofimov, V. A. 1 2005 Conservative difference schemes for some problems of femtosecond nonlinear optics. Zbl 1103.78005Volkov, A. G.; Trofimov, V. A.; Tereshin, E. B. 1 2005 Conservative difference scheme for summary frequency generation of femtosecond pulse. Zbl 1118.78306Trofimov, Vyacheslav A.; Borhanifar, Abdolla; Volkov, Alexey G. 1 2005 Comparison of efficiency of various approaches to computer simulation of nonlinear interaction of three femtosecond pulses in optical fiber. Zbl 1105.78007Borhanifar, A.; Trofimov, V. A. 1 2004 Mathematical modelling the optical bistability based on a light-induced electric field. Zbl 1147.78303Varentsova, S. A.; Loginova, M. M.; Trofimov, V. A. 1 2003 Studying difference schemes for the problem of femtosecond pulse action in a photonic crystal. Zbl 1050.78012Trofimov, V. A.; Tereshin, E. B.; Fedotov, M. V. 1 2003 Invariants of nonlinear interaction of femtosecond pulses in the presence of third-order dispersion. Zbl 1056.81100Varentsova, S. A.; Trofimov, V. A. 1 2002 Bistability and uniqueness of solutions in the problem of second harmonic generation of femtosecond pulses. Zbl 1029.35205Lysak, T. M.; Trofimov, V. A. 1 2001 Simulation of soliton solutions for the propagation of a femtosecond pulse in a medium with a cubic nonlinearity. Zbl 0964.78013Dorokhova, T. V.; Savenkova, N. P.; Trofimov, V. A. 3 2000 On the coomputation of the eigenvalues and eigenfunctions of the one-dimensional Schrödinger equation on adaptive grids. Zbl 1074.35571Varentsova, S. A.; Ponomareva, E. V.; Trofimov, V. A. 1 2000 On a new approach to the simulation of the nonlinear propagation of ultrashort laser pulses. Zbl 0953.78005Trofimov, V. A. 2 1998 On the modeling of macrokinetic of gas-phase reactions under the influence of optic radiation. Zbl 0974.78539Kalinichenko, M. I.; Karamzin, Yu. N.; Trofimov, V. A. 1 1990 Mathematical modelling in nonlinear optics. Zbl 0704.65049Karamzin, Yu. N.; Sukhorukov, A. P.; Trofimov, V. A. 10 1989 Numerical methods for problems describing heat self-interaction of optical radiation. Zbl 0969.80502Zakharova, I. G.; Karamzin, Yu. N.; Trofimov, V. A. 3 1989 all cited Publications top 5 cited Publications all top 5 Cited by 45 Authors 14 Trofimov, Vyacheslav A. 3 Borhanifar, Abdollah 3 Loginova, Maria M. 3 Savenkova, N. P. 2 Alfimov, Georgiĭ Leonidovich 2 Čiegis, Raimondas 2 Egorenkov, Vladimir A. 2 Ivanauskas, Feliksas 2 Laponin, V. S. 2 Lebedev, M. E. 2 Malomed, Boris A. 2 Matusevich, O. V. 2 Radziunas, Mindaugas 2 Trofimov, V. V. 2 Trykin, Evgeny M. 2 Volkov, Alexey G. 2 Zezyulin, Dmitry A. 1 Abazari, Reza 1 Abidi, Faycal 1 Ayadi, Mekki 1 Bryzgalov, Aleksandr Anatol’evich 1 Chen, Jing 1 Dias, João-Paulo 1 Dorokhova, T. V. 1 Figueira, Mário S. R. 1 Fu, Fangfang 1 Gegel, L. A. 1 Hong, Jialin 1 Il’yutko, V. P. 1 Kabir, M. M. 1 Karmanov, Fëdor Ivanovich 1 Kong, Linghua 1 Konotop, Vladimir V. 1 Laukaitytẹ, Inga 1 Lysak, Tatiana M. 1 Matsuka, N. P. 1 Omrani, Khaled 1 Razgulin, A. V. 1 Šeibak, M. 1 Stepanenko, S. V. 1 Tereshin, E. B. 1 Vahdat, L. Maryam 1 Volkov, Vasiliĭ Mikhaĭlovich 1 Zagurskii, D. Yu. 1 Zakharova, Irina G. all top 5 Cited in 14 Serials 8 Computational Mathematics and Modeling 4 Lithuanian Mathematical Journal 3 Moscow University Computational Mathematics and Cybernetics 3 Differential Equations 2 Journal of Computational and Applied Mathematics 2 Journal of Applied Mathematics and Computing 1 Journal of Computational Physics 1 Chaos, Solitons and Fractals 1 Numerical Functional Analysis and Optimization 1 Studies in Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Matematicheskoe Modelirovanie all top 5 Cited in 8 Fields 23 Numerical analysis (65-XX) 22 Partial differential equations (35-XX) 13 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Computer science (68-XX) 1 Ordinary differential equations (34-XX) 1 Quantum theory (81-XX) Citations by Year