Vyacheslav A. Trofimov

Publication Activity (10 Years)

Years Active: 2004-2021
Publications (10 Years): 15

Top Topics

Hamilton Jacobi

Eikonal Equation

Finite Difference

Top Venues

Comput. Math. Methods

Math. Comput. Simul.

Publications

Vyacheslav A. Trofimov, Maria M. Loginova, Vladimir A. Egorenkov
Numerical methods for solving the 3D Neumann problem of laser-induced plasma evolution in a semiconductor: Direct and iteration methods. Comput. Math. Methods 3 (3) (2021)
Vyacheslav A. Trofimov, Maria M. Loginova, Vladimir A. Egorenkov
Efficiency of using adaptive artificial boundary conditions at computer simulation of contrast spatio-temporal laser-induced structures in a semiconductor. Comput. Math. Methods 3 (6) (2021)
Vyacheslav A. Trofimov, Svetlana Stepanenko, Alexander Razgulin
Conservation laws of femtosecond pulse propagation described by generalized nonlinear Schrödinger equation with cubic nonlinearity. Math. Comput. Simul. 182 (2021)
Vyacheslav A. Trofimov, Nan-Nan Wang, Jing-Hui Qiu, Svetlana A. Varentsova
Spurious Absorption Frequency Appearance Due to Frequency Conversion Processes in Pulsed THz TDS Problems. Sensors 20 (7) (2020)
Vyacheslav A. Trofimov, Maria M. Loginova, Vladimir A. Egorenkov
Conservative finite-difference scheme for the 2D problem of femtosecond laser pulse interaction with kink structure of high absorption in semiconductor. Int. J. Comput. Math. 97 (1-2) (2020)
Vyacheslav A. Trofimov, Evgeny M. Trykin
Enhancement of ABCs efficiency at computer simulation of optical pulse interaction with inhomogeneous nonlinear medium. J. Comput. Phys. 399 (2019)
Vyacheslav A. Trofimov, Maria M. Loginova, Vladimir A. Egorenkov
A mathematical model of optical bistability and the multiplicity of its solutions. J. Comput. Appl. Math. 354 (2019)
Vyacheslav A. Trofimov, Svetlana A. Varentsova
A Possible Way for the Detection and Identification of Dangerous Substances in Ternary Mixtures Using THz Pulsed Spectroscopy. Sensors 19 (10) (2019)
Vyacheslav A. Trofimov, Evgeny M. Trykin
Explicit and Conditionally Stable Combined Numerical Method for 1D and 2D Nonlinear Schrödinger Equation. FDM (2018)
Vyacheslav A. Trofimov, Svetlana A. Varentsova, Irina G. Zakharova, Dmitry Yu. Zagursky
New Possibilities of Substance Identification Based on THz Time Domain Spectroscopy Using a Cascade Mechanism of High Energy Level Excitation. Sensors 17 (12) (2017)
Vyacheslav A. Trofimov, Svetlana A. Varentsova
The Anomalous Influence of Spectral Resolution on Pulsed THz Time Domain Spectroscopy under Real Conditions. Sensors 17 (12) (2017)
Vyacheslav A. Trofimov, Maria M. Loginova, Vladimir A. Egorenkov
Conservative Finite-Difference Scheme for Computer Simulation of Field Optical Bistability. NAA (2016)
Vyacheslav A. Trofimov, Svetlana A. Varentsova
Essential Limitations of the Standard THz TDS Method for Substance Detection and Identification and a Way of Overcoming Them. Sensors 16 (4) (2016)
Vyacheslav A. Trofimov, Igor E. Kuchik
Analytical solution of the FWM problem for co-propagating laser beams under phase mismatching. EWDTS (2015)
Vyacheslav A. Trofimov, Svetlana A. Varentsova
An Effective Method for Substance Detection Using the Broad Spectrum THz Signal: A "Terahertz Nose". Sensors 15 (6) (2015)
Vyacheslav A. Trofimov, Anton D. Denisov
Adaptive artificial boundary conditions for Schrödinger equation taking into account the first order dispersion of laser pulse and diffraction of laser beam. EWDTS (2014)
Vyacheslav A. Trofimov, Evgeny M. Trykin
Construction of adaptive artificial boundary conditions using the invariant ratios for Schrödinger equation. EWDTS (2014)
Vyacheslav A. Trofimov, Anton D. Denisov
Conservative finite-difference scheme for the problem of laser pulse propagation in a medium with third-order dispersion. EWDTS (2013)
Vyacheslav A. Trofimov, Anton D. Denisov
Adaptive Artificial Boundary Conditions for 2D Schrödinger Equation. NAA (2012)
Vyacheslav A. Trofimov, Abdolla Borhanifar, Alexey G. Volkov
Conservative Difference Scheme for Summary Frequency Generation of Femtosecond Pulse. NAA (2004)
Vyacheslav A. Trofimov, Tatiana M. Lysak
Soliton-Like Regime of Femtosecond Laser Pulse Propogation in Bulk Media Under the Conditions of SHG. NAA (2004)
Vyacheslav A. Trofimov, Svetlana A. Varentsova
Computational Method for Finding of Soliton Solutions of a Nonlinear Shrödinger Equation. NAA (2004)
Vyacheslav A. Trofimov, Maria M. Loginova
Comparison of Some Difference Schemes for Problem of Femtosecond Pulse Interaction with Semiconductor in the Case of Nonlinear Mobility Coefficient. NAA (2004)