Edit Profile (opens in new tab) Kostomarov, Dmitrii Pavlovich Co-Author Distance Author ID: kostomarov.dmitrii-pavlovich Published as: Kostomarov, D. P.; Kostomarov, Dmitrii Pavlovich Documents Indexed: 82 Publications since 1955, including 3 Books Biographic References: 1 Publication Co-Authors: 82 Co-Authors with 62 Joint Publications 1,828 Co-Co-Authors all top 5 Co-Authors 20 single-authored 15 Dnestrovskii, Yu. N. 15 Zaitsev, Fedor S. 10 Shishkin, Alexei G. 7 Inovenkov, I. N. 6 Echkina, E. Yu. 5 Sychugov, D. Yu. 4 Bulanov, Sergei V. 4 Il’in, Vladimir Aleksandrovich 4 Kukulin, V. I. 4 Popov, Andrei M. 4 Stepanov, S. V. 4 Suchkov, Egor P. 3 Anikeev, Fedor A. 3 Gulin, Alexei V. 3 Moiseev, Evgeniĭ Ivanovich 3 Sadovnichiĭ, Viktor Antonovich 2 Akers, R. J. 2 Bogdanov, P. B. 2 Gryaznevich, M. 2 Leonenko, A. V. 2 Mitrofanov, V. A. 2 Nefedov, V. V. 2 O’Brien, M. R. 2 Pedorenko, A. V. 2 Popov, Yurii P. 2 Samarskiĭ, Aleksandr Andreevich 2 Shchepetov, S. V. 2 Sheina, E. A. 2 Smirnov, Alexander P. 2 Tikhonov, Andreĭ Nikolaevich 2 Zlobin, Valeriĭ Vlaer’evich 1 Abrashin, Vyacheslav Nikolaevich 1 Amelin, V. V. 1 Arsen’ev, Alekseĭ Alekseevich 1 Bakhvalov, Nikolaĭ Sergeevich 1 Balyk, V. M. 1 Belotserkovskiĭ, Oleg Mikhaĭlovich 1 Bogolyubov, Aleksandr Nikolaevich 1 Burilov, A. A. 1 Butuzov, Valentin Fëdorovich 1 Chetverushkin, Boris Nikolaevich 1 Chukhin, A. E. 1 Cocks, M. 1 Denisov, Alexander Mikhailovich 1 Dmitriev, Vladimir Ivanovich 1 Dontsov, Egor V. 1 Emel’yanov, Stanislav Vasil’evich 1 Emel’yanov, V. G. 1 Gaĭshun, Ivan Vasil’evich 1 Gasilov, Nizami A. 1 Gol’din, B. Ya. 1 Il’inskiĭ, Anatoliĭ Serafimovich 1 Kadomtsev, B. B. 1 Kalitkin, Nikolaĭ Nikolaevich 1 Kovrizhnykh, L. M. 1 Kul’kov, D. S. 1 Kurbet, I. I. 1 Kurdyumov, Sergeĭ Pavlovich 1 Kuznetsov, Yu. A. 1 Logunov, S. L. 1 Lomov, Igor’ Sergeevich 1 Lukianitsa, Andrei A. 1 Luk’yanitsa, A. A. 1 Marchuk, Guriĭ Ivanovich 1 Medvedev, S. Yu. 1 O’Brain, M. R. 1 Osipov, Yuriĭ Sergeevich 1 Pavlova, O. A. 1 Pegoraro, Francesco 1 Pichushkin, V. V. 1 Robinson, D. K. 1 Robinson, David C. 1 Sazonov, P. B. 1 Shagirov, Èl’dar Aminovich 1 Shishaev, K. A. 1 Terefilov, A. B. 1 Tikhomirov, V. V. 1 Tishkin, Vladimir Fëdorovich 1 Trefilov, A. B. 1 Voevodin, Valentin Vasil’evich 1 Yelchaninov, A. S. 1 Zajtsev, F. S. all top 5 Serials 13 Moscow University Computational Mathematics and Cybernetics 13 Matematicheskoe Modelirovanie 11 Doklady Mathematics 8 Differential Equations 4 Doklady Akademii Nauk SSSR 4 Doklady Akademii Nauk 3 Differential Equations 3 Vestnik Moskovskogo Universiteta. Seriya 15 2 Computer Physics Communications 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Computational Mathematics and Modeling 2 Soviet Physics, JETP 1 Physics of Fluids 1 Russian Mathematical Surveys 1 Vestnik Moskovskogo Universiteta. Seriya III. Fizika, Astronomiya 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Vestnik Moskovskogo Universiteta. Seriya Matematiki, Mekhaniki, Astronomii, Fiziki, Khimii all top 5 Fields 29 Fluid mechanics (76-XX) 21 Statistical mechanics, structure of matter (82-XX) 17 Partial differential equations (35-XX) 14 Numerical analysis (65-XX) 6 History and biography (01-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 3 Optics, electromagnetic theory (78-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 39 times in 33 Documents Cited by ▼ Year ▼ Numerical simulation of plasmas. Transl. from the Russian by Natalia V. Deyneko. Zbl 0605.76135 Dnestrovskij, Yu. N.; Kostomarov, D. P. 5 1986 A Cauchy problem for an ultrahyperbolic equation. Zbl 1029.35069 Kostomarov, D. P. 3 2002 Structural unstable magnetic configurations in three-dimensional geometry. Zbl 1048.82007 Kostomarov, D. P.; Inovenkov, I. N.; Echkina, E. Yu.; Leonenko, A. V.; Pichushkin, V. V.; Pegoraro, F.; Bulanov, S. V. 3 2003 Asymptotic forms of the eigenvalues of nonselfadjoint boundary value problems. Zbl 0154.09102 Dnestrovskij, J. N.; Kostomarov, D. P. 3 1966 Problems for an ultrahyperbolic equation in the half-space with the boundedness condition for the solution. Zbl 1131.35370 Kostomarov, D. P. 2 2006 Methods for MHD plasma equilibria mathematical modeling. Zbl 1150.82300 Kostomarov, D. P.; Medvedev, S. Yu.; Sychugov, D. Yu. 2 2008 Mathematical properties of the model of vertical plasma instability in a tokamak. Zbl 1240.82010 Sychugov, D. Yu.; Dnestrovskii, Yu. N.; Kostomarov, D. P.; Amelin, V. V.; Gasilov, N. A. 2 2011 The numerical solution of the self-consistent evolution of plasma equilibria. Zbl 1196.82039 Zaitsev, F. S.; Shishkin, A. G.; Kostomarov, D. P.; O’Brien, M. R.; Akers, R. J.; Gryaznevich, M.; Trefilov, A. B.; Yelchaninov, A. S. 2 2004 Simulation of magnetic reconnection in 3D geometry. Zbl 1212.82016 Kostomarov, D. P.; Echkina, E. Yu.; Inovenkov, I. N.; Bulanov, S. V. 2 2009 One-dimensional quasilinear eigenvalue and eigenfunction problem. Zbl 1235.34052 Kostomarov, D. P. 1 2011 Turbulent layer in an ideal two-dimensional fluid. Zbl 0274.76037 Kadomtsev, B. B.; Kostomarov, D. P. 1 1972 Multiple eigenvalues of a one-dimensional quasilinear problem. Zbl 1245.34019 Kostomarov, D. P.; Sheina, E. A. 1 2011 Application of parallel programming method for 3D MHD computer simulations of magnetic reconnection in plasma. Zbl 1077.76538 Kostomarov, D. P.; Inovenkov, I. N.; Echkina, E. Y.; Leonenko, A. V.; Pavlova, O. A.; Bulanov, S. V. 1 2004 The Cauchy problem for ultrahyperbolic equations. (Zadacha koshi dlya ul’tragiperbolicheskikh uravnenij.) Zbl 1065.35003 Kostomarov, D. P. 1 2003 Investigation of the electrical conductivity of a plasma in a spherical tokamak. Zbl 1112.76510 Kostomarov, D. P.; Zaitsev, F. S.; Akers, R. J.; Shishkin, A. G. 1 2004 Über das asymptotische Verhalten der Lösungen gewisser linearer Differentialgleichungen zweiter Ordnung, die einen großen Parameter enthalten. Zbl 0122.06406 Kostomarov, D. P. 1 1958 Virtual discharge: integrated modeling environment for supporting numerical experiments with gas discharge plasmas. Zbl 1320.76004 Kostomarov, D. P.; Stepanov, S. V.; Shishkin, A. G. 1 2014 On the asymptotic behaviour of the solutions of systems of linear differential equations of the first order in the neighbourhood of an irregularly singular point. Zbl 0075.07901 Kostomarov, D. P. 1 1956 Method of discrete generator coordinates for the solution of the many- particle Schrödinger equation. Zbl 0542.65082 Kostomarov, D. P.; Kukulin, V. I.; Sazonov, P. B. 1 1984 One-dimensional quasilinear eigenvalue problem. Zbl 1208.34013 Kostomarov, D. P. 1 2010 Problem on multiple eigenvalues and positive eigenfunctions for a one-dimensional second-order quasilinear equation. Zbl 1269.34092 Kostomarov, D. P.; Sheina, E. A. 1 2012 Construction of substantially different solutions for a certain class of ill-posed problems with approximately set input data. Zbl 1249.65086 Kostomarov, D. P.; Zaitsev, F. S.; Suchkov, E. P. 1 2011 Virtual Tokamak library software. Zbl 1253.82001 Kostomarov, D. P.; Zaitsev, F. S.; Shishkin, A. G.; Sychugov, D. Yu.; Stepanov, S. V.; Suchkov, E. P. 1 2011 Automating computations in the Virtual Tokamak software system. Zbl 1267.82007 Kostomarov, D. P.; Zaitsev, F. S.; Shishkin, A. G.; Stepanov, S. V.; Suchkov, E. P. 1 2012 Virtual discharge: integrated modeling environment for supporting numerical experiments with gas discharge plasmas. Zbl 1320.76004 Kostomarov, D. P.; Stepanov, S. V.; Shishkin, A. G. 1 2014 Problem on multiple eigenvalues and positive eigenfunctions for a one-dimensional second-order quasilinear equation. Zbl 1269.34092 Kostomarov, D. P.; Sheina, E. A. 1 2012 Automating computations in the Virtual Tokamak software system. Zbl 1267.82007 Kostomarov, D. P.; Zaitsev, F. S.; Shishkin, A. G.; Stepanov, S. V.; Suchkov, E. P. 1 2012 Mathematical properties of the model of vertical plasma instability in a tokamak. Zbl 1240.82010 Sychugov, D. Yu.; Dnestrovskii, Yu. N.; Kostomarov, D. P.; Amelin, V. V.; Gasilov, N. A. 2 2011 One-dimensional quasilinear eigenvalue and eigenfunction problem. Zbl 1235.34052 Kostomarov, D. P. 1 2011 Multiple eigenvalues of a one-dimensional quasilinear problem. Zbl 1245.34019 Kostomarov, D. P.; Sheina, E. A. 1 2011 Construction of substantially different solutions for a certain class of ill-posed problems with approximately set input data. Zbl 1249.65086 Kostomarov, D. P.; Zaitsev, F. S.; Suchkov, E. P. 1 2011 Virtual Tokamak library software. Zbl 1253.82001 Kostomarov, D. P.; Zaitsev, F. S.; Shishkin, A. G.; Sychugov, D. Yu.; Stepanov, S. V.; Suchkov, E. P. 1 2011 One-dimensional quasilinear eigenvalue problem. Zbl 1208.34013 Kostomarov, D. P. 1 2010 Simulation of magnetic reconnection in 3D geometry. Zbl 1212.82016 Kostomarov, D. P.; Echkina, E. Yu.; Inovenkov, I. N.; Bulanov, S. V. 2 2009 Methods for MHD plasma equilibria mathematical modeling. Zbl 1150.82300 Kostomarov, D. P.; Medvedev, S. Yu.; Sychugov, D. Yu. 2 2008 Problems for an ultrahyperbolic equation in the half-space with the boundedness condition for the solution. Zbl 1131.35370 Kostomarov, D. P. 2 2006 The numerical solution of the self-consistent evolution of plasma equilibria. Zbl 1196.82039 Zaitsev, F. S.; Shishkin, A. G.; Kostomarov, D. P.; O’Brien, M. R.; Akers, R. J.; Gryaznevich, M.; Trefilov, A. B.; Yelchaninov, A. S. 2 2004 Application of parallel programming method for 3D MHD computer simulations of magnetic reconnection in plasma. Zbl 1077.76538 Kostomarov, D. P.; Inovenkov, I. N.; Echkina, E. Y.; Leonenko, A. V.; Pavlova, O. A.; Bulanov, S. V. 1 2004 Investigation of the electrical conductivity of a plasma in a spherical tokamak. Zbl 1112.76510 Kostomarov, D. P.; Zaitsev, F. S.; Akers, R. J.; Shishkin, A. G. 1 2004 Structural unstable magnetic configurations in three-dimensional geometry. Zbl 1048.82007 Kostomarov, D. P.; Inovenkov, I. N.; Echkina, E. Yu.; Leonenko, A. V.; Pichushkin, V. V.; Pegoraro, F.; Bulanov, S. V. 3 2003 The Cauchy problem for ultrahyperbolic equations. (Zadacha koshi dlya ul’tragiperbolicheskikh uravnenij.) Zbl 1065.35003 Kostomarov, D. P. 1 2003 A Cauchy problem for an ultrahyperbolic equation. Zbl 1029.35069 Kostomarov, D. P. 3 2002 Numerical simulation of plasmas. Transl. from the Russian by Natalia V. Deyneko. Zbl 0605.76135 Dnestrovskij, Yu. N.; Kostomarov, D. P. 5 1986 Method of discrete generator coordinates for the solution of the many- particle Schrödinger equation. Zbl 0542.65082 Kostomarov, D. P.; Kukulin, V. I.; Sazonov, P. B. 1 1984 Turbulent layer in an ideal two-dimensional fluid. Zbl 0274.76037 Kadomtsev, B. B.; Kostomarov, D. P. 1 1972 Asymptotic forms of the eigenvalues of nonselfadjoint boundary value problems. Zbl 0154.09102 Dnestrovskij, J. N.; Kostomarov, D. P. 3 1966 Über das asymptotische Verhalten der Lösungen gewisser linearer Differentialgleichungen zweiter Ordnung, die einen großen Parameter enthalten. Zbl 0122.06406 Kostomarov, D. P. 1 1958 On the asymptotic behaviour of the solutions of systems of linear differential equations of the first order in the neighbourhood of an irregularly singular point. Zbl 0075.07901 Kostomarov, D. P. 1 1956 all cited Publications top 5 cited Publications all top 5 Cited by 46 Authors 12 Kostomarov, Dmitrii Pavlovich 6 Shishkin, Alexei G. 6 Zaitsev, Fedor S. 4 Stepanov, S. V. 4 Suchkov, Egor P. 3 Fufaev, Vladimir V. 2 Anikeev, Fedor A. 2 Chizhonkov, Eugene V. 2 Echkina, E. Yu. 2 Golgeleyen, Fikret 2 Inovenkov, I. N. 2 Sheina, E. A. 2 Stepin, Stanislav A. 2 Yamamoto, Masahiro 1 Aĭrapetov, A. B. 1 Aisagaliev, Serikbai Abdigalievich 1 Akers, R. J. 1 Assanova, Anar Turmaganbetkyzy 1 Bobylev, Alexandre Vasiljévitch 1 Bogdanov, P. B. 1 Bulanov, Sergei V. 1 Dontsov, Egor V. 1 Goncharov, O. I. 1 Gryaznevich, M. 1 Heumann, Holger 1 Izobov, Nikolaĭ Alekseevich 1 Kukulin, V. I. 1 Lazareva, Galina G. 1 Lukashenko, A. T. 1 Lukianitsa, Andrei A. 1 Mossberg, Eva 1 O’Brien, M. R. 1 Oksogoeva, I. P. 1 Policastro, Giuseppe 1 Potapenko, Irina F. 1 Rapetti, Francesca 1 Romanov, Vladimir Gavrilovich 1 Rozanova, Olga S. 1 Rubtsova, O. A. 1 Starinets, Andrei O. 1 Stupyalis, Lyudvikas I. 1 Sudnikov, A. V. 1 Sychugov, D. Yu. 1 Trefilov, A. B. 1 Yelchaninov, A. S. 1 Zhunussova, Zhanat Khafizovna all top 5 Cited in 21 Serials 6 Doklady Mathematics 4 Differential Equations 3 Moscow University Computational Mathematics and Cybernetics 2 Moscow University Mathematics Bulletin 2 Matematicheskoe Modelirovanie 1 Computer Physics Communications 1 Inverse Problems 1 Journal of Applied Mathematics and Mechanics 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal 1 Nuclear Physics. B 1 Theoretical and Mathematical Physics 1 Transport Theory and Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Soviet Mathematics 1 Chinese Annals of Mathematics. Series B 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Journal of Dynamical and Control Systems 1 Lobachevskii Journal of Mathematics 1 Communications in Computational Physics 1 Ufimskiĭ Matematicheskiĭ Zhurnal all top 5 Cited in 14 Fields 10 Partial differential equations (35-XX) 8 Ordinary differential equations (34-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Systems theory; control (93-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year