Edit Profile (opens in new tab) Mazhukin, Vladimir I. Compute Distance To: Compute Author ID: mazhukin.vladimir-i Published as: Mazhukin, V. I.; Mazhukin, Vladimir I.; Mazhukin, V. Documents Indexed: 89 Publications since 1983, including 1 Book 1 Contribution as Editor Co-Authors: 53 Co-Authors with 87 Joint Publications 585 Co-Co-Authors all top 5 Co-Authors 3 single-authored 19 Samarskiĭ, Aleksandr Andreevich 19 Shapranov, Alexander V. 16 Koroleva, Olga N. 15 Demin, Mikhail M. 14 Matus, Pëtr Paŭlavich 13 Samokhin, Aleksandr A. 11 Mazhukin, Alexander V. 9 Dar’in, N. A. 7 Breslavsky, P. V. 5 Aleksashkina, A. A. 5 Chetverushkin, Boris Nikolaevich 5 Zubko, Aleksey E. 4 Aptekarev, Alexander Ivanovich 4 Chuiko, M. M. 3 Mozolevsky, Igor E. 3 Nosov, V. V. 3 Vasilevskij, V. F. 2 Bykovskaya, E. N. 2 Flamant, Gilles 2 Gusev, I. V. 2 Lobok, M. G. 2 Nossov, Vadim V. 2 Prudkovskij, P. A. 1 Chuiko, Mikhail 1 Chujko, M. M. 1 Churbanova, Natalia G. 1 Galanin, M. P. 1 Gorbunov-Posadov, M. M. 1 Ivochkin, A. Yu. 1 Kartashov, I. N. 1 Kastelianos, Orlando 1 Kolesnichenko, Aleksander V. 1 Kudryumov, S. P. 1 Lapanik, A. M. 1 Malafej, D. A. 1 Malaphei, D. A. 1 Mazhukin, V. A. 1 Mikhailyuk, I. A. 1 Mikhajlik, I. A. 1 Mikhiliouk, I. A. 1 Nikiforov, M. G. 1 Osipov, V. P. 1 Pavićević, Žarko 1 Perebejnos, V. V. 1 Perezhigin, V. E. 1 Pivovarov, P. A. 1 Rychagov, V. G. 1 Shapranov, V. I. 1 Shishkin, Grigoriĭ Ivanovich 1 Smurov, I. Yu. 1 Smurov, Igor 1 Takoeva, L. Yu. 1 Volchinskaya, M. I. all top 5 Serials 27 Mathematica Montisnigri 23 Matematicheskoe Modelirovanie 5 Doklady Mathematics 4 Differential Equations 4 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Differentsial’nye Uravneniya 2 Surveys on Mathematics for Industry 2 Computational Mathematics and Mathematical Physics 2 Soviet Physics. Doklady 2 Mathematical Modelling and Analysis 2 Computational Methods in Applied Mathematics 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Physics-Doklady 1 Mathematical Modeling and Computational Experiment 1 Differential Equations 1 Doklady Natsional’noĭ Akademii Nauk Belarusi all top 5 Fields 32 Numerical analysis (65-XX) 26 Classical thermodynamics, heat transfer (80-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 Fluid mechanics (76-XX) 21 Partial differential equations (35-XX) 16 Optics, electromagnetic theory (78-XX) 10 Mechanics of deformable solids (74-XX) 7 History and biography (01-XX) 6 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 3 Mathematics education (97-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 35 times in 29 Documents Cited by ▼ Year ▼ Mathematical modeling in the technology of laser treatments of materials. Zbl 0805.35165Mazhukin, Vladimir I.; Samarskii, Alexander A. 5 1994 Monotone difference schemes for equations with mixed derivatives. Zbl 1055.65115Samarskii, A. A.; Matus, P. P.; Mazhukin, V. I.; Mozolevski, I. E. 4 2002 Monotone difference schemes for equations with mixed derivatives. Zbl 1012.65103Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Shishkin, G. I. 3 2001 Method of dynamical adaption for evolution-type problems with high gradients. Zbl 1075.76610Mazhukin, V. I.; Samarskii, A. A.; Kastelianos, Orlando; Shapranov, A. V. 2 1993 An approach to adaptive grid construction for non-stationary problems. Zbl 0671.65076Dar’in, N. A.; Mazhukin, V. I. 2 1988 Difference schemes on irregular grids for equations of mathematical physics with variable coefficients. Zbl 1022.65092Mazhukin, V. I.; Malaphei, D. A.; Matus, P. P.; Samarskij, A. A. 2 2001 Modeling of shock waves interaction on dynamically adapting grids. Zbl 1140.76446Breslavskiy, P. V.; Mazhukin, V. I. 2 2007 Invariant difference schemes for parabolic equations with transformations of independent variables. Zbl 0936.65101Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Rychagov, V. G.; Smurov, I. 1 1999 Accuracy enhancement in difference schemes on spatially nonuniform grids. Zbl 0961.65074Samarskij, A. A.; Mazhukin, V. I.; Malafej, D. A.; Matus, P. P. 1 1999 \(L_2\)-conservative schemes for the Korteweg-de Vries equation. Zbl 0961.65080Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Mikhajlik, I. A. 1 1997 Stability of finite difference schemes on non-uniform spatial-time-grids. Zbl 0978.65085Matus, Piotr P.; Mazhukin, Vladimir I.; Mozolevsky, Igor E. 1 2001 On the gas-dynamical boundary conditions on an evaporation front. Zbl 1002.76588Mazhukin, V. I.; Prudkovskij, P. A.; Samokhin, A. A. 1 1993 Finite-difference schemes for the Korteweg-de Vries equation. Zbl 1009.65058Mazhukin, V. I.; Matus, P. P.; Mikhailyuk, I. A. 1 2000 A finite-difference method for solving the equations of gas dynamics using adaptive nets which are dynamically associated with the solution. Zbl 0850.76437Dar’in, N. A.; Mazhukin, V. I.; Samarskij, A. A. 1 1988 Analytical approximation of the Fermi-Dirac integrals of half-integer and integer orders. Zbl 1374.81065Koroleva, O. N.; Mazhukin, A. V.; Mazhukin, V. I.; Breslavskiy, P. V. 1 2016 Kinetic melting and crystallization stages of strongly superheated and supercooled metals. Zbl 1374.80002Mazhukin, V. I.; Shapranov, A. V.; Perezhigin, V. E.; Koroleva, O. N.; Mazhukin, A. V. 1 2016 Mathematical formulation of a kinetic version of Stefan problem for heterogeneous melting/crystallization of metals. Zbl 1474.80008Mazhukin, V. I.; Shapranov, A. V.; Mazhukin, A. V.; Koroleva, O. N. 1 2016 A finite-difference method for solving the equations of gas dynamics using adaptive grids which are dynamically connected with the solution. Zbl 0683.76056Dar’in, N. A.; Mazhukin, V. I.; Samarskij, A. A. 1 1988 Simulation of integrating discontinious solutions on dynamically adaptive grids. Zbl 1247.76054Breslavsky, P. V.; Mazhukin, V. I. 1 2007 Molecular-dynamic modeling of thermophysical properties of the phonon subsystem of copper in wide temperature range. Zbl 07388439Demin, M. M.; Koroleva, O. N.; Aleksashkina, A. A.; Mazhukin, V. I. 1 2020 Atomistic modeling of crystal-melt interface mobility of fcc (Al, Cu) and bcc (Fe) metals in strong superheating/undercooling states. Zbl 07388449Mazhukin, V. I.; Shapranov, A. V.; Koroleva, O. N. 1 2020 Determination of thermal properties of gold in the region of melting-crystallization phase transition. Molecular dynamic approach. Zbl 07461148Mazhukin, V. I.; Koroleva, O. N.; Shapranov, A. V.; Demin, M. M.; Aleksashkina, A. A. 1 2022 Determination of thermal properties of gold in the region of melting-crystallization phase transition. Molecular dynamic approach. Zbl 07461148Mazhukin, V. I.; Koroleva, O. N.; Shapranov, A. V.; Demin, M. M.; Aleksashkina, A. A. 1 2022 Molecular-dynamic modeling of thermophysical properties of the phonon subsystem of copper in wide temperature range. Zbl 07388439Demin, M. M.; Koroleva, O. N.; Aleksashkina, A. A.; Mazhukin, V. I. 1 2020 Atomistic modeling of crystal-melt interface mobility of fcc (Al, Cu) and bcc (Fe) metals in strong superheating/undercooling states. Zbl 07388449Mazhukin, V. I.; Shapranov, A. V.; Koroleva, O. N. 1 2020 Analytical approximation of the Fermi-Dirac integrals of half-integer and integer orders. Zbl 1374.81065Koroleva, O. N.; Mazhukin, A. V.; Mazhukin, V. I.; Breslavskiy, P. V. 1 2016 Kinetic melting and crystallization stages of strongly superheated and supercooled metals. Zbl 1374.80002Mazhukin, V. I.; Shapranov, A. V.; Perezhigin, V. E.; Koroleva, O. N.; Mazhukin, A. V. 1 2016 Mathematical formulation of a kinetic version of Stefan problem for heterogeneous melting/crystallization of metals. Zbl 1474.80008Mazhukin, V. I.; Shapranov, A. V.; Mazhukin, A. V.; Koroleva, O. N. 1 2016 Modeling of shock waves interaction on dynamically adapting grids. Zbl 1140.76446Breslavskiy, P. V.; Mazhukin, V. I. 2 2007 Simulation of integrating discontinious solutions on dynamically adaptive grids. Zbl 1247.76054Breslavsky, P. V.; Mazhukin, V. I. 1 2007 Monotone difference schemes for equations with mixed derivatives. Zbl 1055.65115Samarskii, A. A.; Matus, P. P.; Mazhukin, V. I.; Mozolevski, I. E. 4 2002 Monotone difference schemes for equations with mixed derivatives. Zbl 1012.65103Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Shishkin, G. I. 3 2001 Difference schemes on irregular grids for equations of mathematical physics with variable coefficients. Zbl 1022.65092Mazhukin, V. I.; Malaphei, D. A.; Matus, P. P.; Samarskij, A. A. 2 2001 Stability of finite difference schemes on non-uniform spatial-time-grids. Zbl 0978.65085Matus, Piotr P.; Mazhukin, Vladimir I.; Mozolevsky, Igor E. 1 2001 Finite-difference schemes for the Korteweg-de Vries equation. Zbl 1009.65058Mazhukin, V. I.; Matus, P. P.; Mikhailyuk, I. A. 1 2000 Invariant difference schemes for parabolic equations with transformations of independent variables. Zbl 0936.65101Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Rychagov, V. G.; Smurov, I. 1 1999 Accuracy enhancement in difference schemes on spatially nonuniform grids. Zbl 0961.65074Samarskij, A. A.; Mazhukin, V. I.; Malafej, D. A.; Matus, P. P. 1 1999 \(L_2\)-conservative schemes for the Korteweg-de Vries equation. Zbl 0961.65080Samarskij, A. A.; Mazhukin, V. I.; Matus, P. P.; Mikhajlik, I. A. 1 1997 Mathematical modeling in the technology of laser treatments of materials. Zbl 0805.35165Mazhukin, Vladimir I.; Samarskii, Alexander A. 5 1994 Method of dynamical adaption for evolution-type problems with high gradients. Zbl 1075.76610Mazhukin, V. I.; Samarskii, A. A.; Kastelianos, Orlando; Shapranov, A. V. 2 1993 On the gas-dynamical boundary conditions on an evaporation front. Zbl 1002.76588Mazhukin, V. I.; Prudkovskij, P. A.; Samokhin, A. A. 1 1993 An approach to adaptive grid construction for non-stationary problems. Zbl 0671.65076Dar’in, N. A.; Mazhukin, V. I. 2 1988 A finite-difference method for solving the equations of gas dynamics using adaptive nets which are dynamically associated with the solution. Zbl 0850.76437Dar’in, N. A.; Mazhukin, V. I.; Samarskij, A. A. 1 1988 A finite-difference method for solving the equations of gas dynamics using adaptive grids which are dynamically connected with the solution. Zbl 0683.76056Dar’in, N. A.; Mazhukin, V. I.; Samarskij, A. A. 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 56 Authors 4 Hieu, Le Minh 4 Matus, Pëtr Paŭlavich 3 Mazhukin, Vladimir I. 2 Aleksashkina, A. A. 2 Demin, Mikhail M. 2 Gupta, Nupur 2 Hömberg, Dietmar 2 Koroleva, Olga N. 2 Limić, Nedžad 2 Nataraj, Neela 2 Shapranov, Alexander V. 2 Vulkov, Lubin G. 1 Bekezhanova, Victoria B. 1 Chechetkin, Valeriĭ Mikhaĭlovich 1 Cho, Chien-Hong 1 Dmitrenko, Artur V. 1 Dutykh, Denys 1 Elizarova, Tat’yana Gennad’evna 1 Fryazinov, Igor Vladimirovich 1 Fuhrmann, Jürgen 1 Gasilov, Vladimir A. 1 Goncharova, Olga N. 1 Khakimzyanov, Gayaz Salimovich 1 Koldoba, Alexander V. 1 Koleva, Miglena Nikolaeva 1 Kong, Desong 1 Kuchugov, P. A. 1 Ladonkina, Marina E. 1 Le Minh Hieu 1 Liu, Chun-Yi 1 Lo Schiavo, Mauro 1 Mirzade, F. Kh. 1 Mozolevsky, Igor E. 1 Niz’ev, V. G. 1 Ozbilge, Ebru 1 Panchenko, Vladislav Yakovlevich 1 Poliakov, Dmitriy 1 Popov, Igor’ Viktorovich 1 Poveschenko, Yuriy A. 1 Prasath, V. B. Surya 1 Pylak, Dorota 1 Rogina, Mladen 1 Samarskiĭ, Aleksandr Andreevich 1 Selivanova, N. Yu. 1 Selvaggi, Jerry A. 1 Selvaggi, Jerry P. 1 Shamolin, Maksim Vladimirovich 1 Shilnikov, Eugene V. 1 Thanh, Dang Ngoc Hoang 1 Tishkin, Vladimir Fëdorovich 1 Ustiugova, G. V. 1 Ustyugova, G. V. 1 Volkwein, Stefan 1 Xu, Yufeng 1 Zheng, Zhoushun 1 Zmitrenko, Nikolaĭ Vasil’evich all top 5 Cited in 21 Serials 5 Matematicheskoe Modelirovanie 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 1 Fluid Dynamics 1 Mathematical Methods in the Applied Sciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Optimization 1 Mathematics and Computers in Simulation 1 Mathematical and Computer Modelling 1 Vestnik St. Petersburg University. Mathematics 1 Continuum Mechanics and Thermodynamics 1 Journal of Mathematical Sciences (New York) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Computational Mathematics 1 Trudy Instituta Matematiki 1 Differential Equations 1 Computational Methods in Applied Mathematics 1 Communications in Computational Physics 1 Journal of Complex Analysis 1 East Asian Journal on Applied Mathematics all top 5 Cited in 13 Fields 14 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year