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Vyacheslav A. Trofimov

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2020 – today

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2021
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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)
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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)
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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: 366-396 (2021)
2020
[j9]
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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): 207-244 (2020)
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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): 1859 (2020)

2010 – 2019

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2019
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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: 663-681 (2019)
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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)
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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): 2365 (2019)
2018
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Vyacheslav A. Trofimov, Evgeny M. Trykin:
Explicit and Conditionally Stable Combined Numerical Method for 1D and 2D Nonlinear Schrödinger Equation. FDM 2018: 550-557
2017
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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): 2728 (2017)
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Vyacheslav A. Trofimov, Svetlana A. Varentsova:
The Anomalous Influence of Spectral Resolution on Pulsed THz Time Domain Spectroscopy under Real Conditions. Sensors 17(12): 2883 (2017)
2016
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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): 502 (2016)
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Vyacheslav A. Trofimov, Maria M. Loginova, Vladimir A. Egorenkov:
Conservative Finite-Difference Scheme for Computer Simulation of Field Optical Bistability. NAA 2016: 682-689
2015
[j1]
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Vyacheslav A. Trofimov, Svetlana A. Varentsova:
An Effective Method for Substance Detection Using the Broad Spectrum THz Signal: A "Terahertz Nose". Sensors 15(6): 12103-12132 (2015)
[c9]
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Vyacheslav A. Trofimov, Igor E. Kuchik:
Analytical solution of the FWM problem for co-propagating laser beams under phase mismatching. EWDTS 2015: 1-4
2014
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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: 1-4
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Vyacheslav A. Trofimov, Evgeny M. Trykin:
Construction of adaptive artificial boundary conditions using the invariant ratios for Schrödinger equation. EWDTS 2014: 1-4
2013
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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: 1-4
2012
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Vyacheslav A. Trofimov, Anton D. Denisov:
Adaptive Artificial Boundary Conditions for 2D Schrödinger Equation. NAA 2012: 509-516

2000 – 2009

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2004
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Vyacheslav A. Trofimov, Abdollah Borhanifar, Alexey G. Volkov:
Conservative Difference Scheme for Summary Frequency Generation of Femtosecond Pulse. NAA 2004: 527-534
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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: 535-542
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Vyacheslav A. Trofimov, Tatiana M. Lysak:
Soliton-Like Regime of Femtosecond Laser Pulse Propogation in Bulk Media Under the Conditions of SHG. NAA 2004: 543-550
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Vyacheslav A. Trofimov, Svetlana A. Varentsova:
Computational Method for Finding of Soliton Solutions of a Nonlinear Shrödinger Equation. NAA 2004: 551-557

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