# zbMATH — the first resource for mathematics

## Russian Journal of Numerical Analysis and Mathematical Modelling

 Short Title: Russ. J. Numer. Anal. Math. Model. Publisher: De Gruyter, Berlin ISSN: 0927-6467; 1569-3988/e Online: http://www.degruyter.com/view/j/rnam Predecessor: Soviet Journal of Numerical Analysis and Mathematical Modelling Comments: Indexed cover-to-cover
 Documents Indexed: 972 Publications (since 1992) References Indexed: 267 Publications with 5,371 References.
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#### Latest Issues

 36, No. 3 (2021) 36, No. 2 (2021) 36, No. 1 (2021) 35, No. 6 (2020) 35, No. 5 (2020) 35, No. 4 (2020) 35, No. 3 (2020) 35, No. 2 (2020) 35, No. 1 (2020) 34, No. 6 (2019) 34, No. 5 (2019) 34, No. 4 (2019) 34, No. 3 (2019) 34, No. 2 (2019) 34, No. 1 (2019) 33, No. 6 (2018) 33, No. 5 (2018) 33, No. 4 (2018) 33, No. 3 (2018) 33, No. 2 (2018) 33, No. 1 (2018) 32, No. 6 (2017) 32, No. 5 (2017) 32, No. 4 (2017) 32, No. 3 (2017) 32, No. 2 (2017) 32, No. 1 (2017) 31, No. 6 (2016) 31, No. 5 (2016) 31, No. 4 (2016) 31, No. 3 (2016) 31, No. 2 (2016) 31, No. 1 (2016) 30, No. 6 (2015) 30, No. 5 (2015) 30, No. 4 (2015) 30, No. 3 (2015) 30, No. 2 (2015) 30, No. 1 (2015) 29, No. 6 (2014) 29, No. 5 (2014) 29, No. 4 (2014) 29, No. 3 (2014) 29, No. 2 (2014) 29, No. 1 (2014) 28, No. 6 (2013) 28, No. 5 (2013) 28, No. 4 (2013) 28, No. 3 (2013) 28, No. 2 (2013) 28, No. 1 (2013) 27, No. 6 (2012) 27, No. 5 (2012) 27, No. 4 (2012) 27, No. 3 (2012) 27, No. 2 (2012) 27, No. 1 (2012) 26, No. 6 (2011) 26, No. 5 (2011) 26, No. 4 (2011) 26, No. 3 (2011) 26, No. 2 (2011) 26, No. 1 (2011) 25, No. 6 (2010) 25, No. 5 (2010) 25, No. 4 (2010) 25, No. 3 (2010) 25, No. 2 (2010) 25, No. 1 (2010) 24, No. 6 (2009) 24, No. 5 (2009) 24, No. 4 (2009) 24, No. 3 (2009) 24, No. 2 (2009) 24, No. 1 (2009) 23, No. 6 (2008) 23, No. 5 (2008) 23, No. 4 (2008) 23, No. 3 (2008) 23, No. 2 (2008) 23, No. 1 (2008) 22, No. 6 (2007) 22, No. 5 (2007) 22, No. 4 (2007) 22, No. 3 (2007) 22, No. 2 (2007) 22, No. 1 (2007) 21, No. 6 (2006) 21, No. 5 (2006) 21, No. 4 (2006) 21, No. 3 (2006) 21, No. 2 (2006) 21, No. 1 (2006) 20, No. 6 (2005) 20, No. 5 (2005) 20, No. 4 (2005) 20, No. 3 (2005) 20, No. 2 (2005) 20, No. 1 (2005) 19, No. 6 (2004) ...and 74 more Volumes
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#### Authors

 43 Mikhaĭlov, Gennadiĭ Alekseevich 39 Agoshkov, Valeriĭ Ivanovich 38 Shutyaev, Victor Petrovich 26 Zalesny, Vladimir Borisovich 25 Khakimzyanov, Gayaz Salimovich 25 Shokin, Yuriĭ Ivanovich 24 Kuznetsov, Yurii Alekseevich 23 Vassilevski, Yuri V. 22 Ogorodnikov, Vasily A. 20 Nechepurenko, Yuri M. 18 Dymnikov, Valentin Pavlovich 17 Tyrtyshnikov, Evgeniĭ Evgen’evich 16 Lifanov, Ivan K. 16 Marchuk, Guriĭ Ivanovich 16 Parmuzin, Eugene I. 16 Shishkin, Grigoriĭ Ivanovich 15 Chernykh, Gennadiǐ Georgievich 15 Repin, Sergeĭ Igorevich 14 Kobel’kov, Georgiĭ Mikhaĭlovich 14 Kulikov, Gennady Yur’evich 14 Le Dimet, Francois-Xavier 14 Lebedev, Vyacheslav Ivanovich 13 Fedotova, Zinaida Ivanovna 13 Gusev, Anatoly V. 13 Il’in, Valeriĭ Pavlovich 12 Sarkisyan, Artem Sarkisovich 11 Laevskiĭ, Yuriĭ Mironovich 10 Diansky, Nikolay A. 10 Liseĭkin, Vladimir Dmitrievich 10 Romanyukha, Alexei A. 10 Shaĭdurov, Vladimir Victorovich 10 Voropaeva, Olga Falaleevna 10 Zlotnik, Alexander A. 9 Aloyan, Artash E. 9 Bocharov, Gennady A. 9 Chizhonkov, Eugene V. 9 Gejadze, Igor Yu. 9 Ipatova, V. M. 9 Prigarin, Sergei M. 9 Zakharova, Natalia B. 9 Zuev, Sergeĭ Mikhailovich 8 Antyufeev, Victor S. 8 Lotova, Galiya Z. 8 Lykossov, Vasily N. 8 Olshanskii, Maxim A. 8 Rychkov, Alexandr D. 8 Ukhinov, Sergey A. 8 Voytishek, A. V. 7 Amosov, Andreĭ Avenirovich 7 Artem’ev, Sergeĭ Semenovich 7 Glazunov, Andrey V. 7 Gritsun, Andrey S. 7 Petrov, Igor’ Borisovich 7 Smelov, V. V. 7 Volkov, I. K. 7 Volodin, Evgenii M. 6 Barakhnin, V. B. 6 Burmistrov, A. V. 6 Chubarov, L. B. 6 Danilov, Alexander A. 6 Demyanko, Kirill V. 6 Filatov, Aleksandr Nikolaevich 6 Iakovlev, Nikolay G. 6 Javadian, A. D. 6 Karelsky, Kirill V. 6 Kornev, Andrei A. 6 Kulyamin, Dmitry V. 6 Moshonkin, S. N. 6 Oseledets, Ivan V. 6 Petrosyan, Arakel S. 6 Salamatova, Victoria Yu. 6 Simakov, Sergey S. 6 Terekhov, Kirill M. 6 Tolstykh, Mikhail A. 6 Volkov, Evgeniĭ Alekseevich 5 Ambos, Andrey Yu. 5 Averina, Tat’yana Aleksandrovna 5 Bogachëv, K. Yu. 5 Makarov, Roman N. 5 Marchenko, Mikhail Aleksandrovich 5 Nikitin, Kirill D. 5 Paasonen, Viktor I. 5 Pertsev, Nikolaĭ Viktorovich 5 Plotnikov, M. Yu. 5 Rogasinsky, Sergey V. 5 Sereseva, Olga V. 5 Shokina, Nina 5 Slavin, Aleksander G. 5 Tracheva, Natalya V. 4 Aps, Robert 4 Bakhvalov, Nikolai Sergeevich 4 Beizel, Sofya A. 4 Beklemysheva, Katerina A. 4 Bogatyrev, Andrei Borisovich 4 Bratus, Alexander S. 4 Chereshnev, Valery A. 4 Chetverushkin, Boris Nikolaevich 4 Demyshev, S. G. 4 Fedoruk, Mikhail P. 4 Frolov, Aleksandr Anatol’evich ...and 688 more Authors
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#### Fields

 552 Numerical analysis (65-XX) 281 Fluid mechanics (76-XX) 251 Partial differential equations (35-XX) 204 Geophysics (86-XX) 104 Biology and other natural sciences (92-XX) 56 Probability theory and stochastic processes (60-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 43 Ordinary differential equations (34-XX) 43 Optics, electromagnetic theory (78-XX) 37 Integral equations (45-XX) 37 Classical thermodynamics, heat transfer (80-XX) 37 Statistical mechanics, structure of matter (82-XX) 30 Dynamical systems and ergodic theory (37-XX) 30 Mechanics of deformable solids (74-XX) 24 Statistics (62-XX) 22 Approximations and expansions (41-XX) 21 Systems theory; control (93-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Computer science (68-XX) 10 General and overarching topics; collections (00-XX) 10 Astronomy and astrophysics (85-XX) 10 Operations research, mathematical programming (90-XX) 9 Operator theory (47-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 History and biography (01-XX) 4 Special functions (33-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

431 Publications have been cited 1,274 times in 939 Documents Cited by Year
New mixed finite element method on polygonal and polyhedral meshes. Zbl 1048.65113
Kuznetsov, Yu.; Repin, S.
2003
Efficient iterative solvers for elliptic finite element problems on nonmatching grids. Zbl 0839.65031
Kuznetsov, Yu. A.
1995
Minimal stencil finite volume scheme with the discrete maximum principle. Zbl 1262.65151
Lipnikov, K.; Svyatskiy, D.; Vassilevski, Yu.
2012
A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes. Zbl 1166.65394
Danilov, A. A.; Vassilevski, Yu. V.
2009
A fractional Poisson process in a model of dispersive charge transport in semiconductors. Zbl 1151.82430
Uchaikin, V. V.; Sibatov, R. T.
2008
TT-GMRES: solution to a linear system in the structured tensor format. Zbl 1266.65050
Dolgov, S. V.
2013
Methods of constructing grid approximations for singularly perturbed boundary-value problems. Condensing-grid methods. Zbl 0816.65072
Shishkin, G. I.
1992
QTT approximation of elliptic solution operators in higher dimensions. Zbl 1221.65288
Khoromskij, B. N.; Oseledets, I. V.
2011
Kinetic schemes and quasi-gas-dynamic system of equations. Zbl 1192.76037
Chetverushkin, B. N.
2005
Verification of the cross 3D algorithm on quantum chemistry data. Zbl 1147.81317
Flad, H.-J.; Khoromskii, B. N.; Savostyanov, D. V.; Tyrtyshnikov, E. E.
2008
On the solvability and numerical solution of data assimilation problems. Zbl 0818.65056
Agoshkov, V. I.; Marchuk, G. I.
1993
Hyperbolic type explicit kinetic scheme of magneto gas dynamics for high performance computing systems. Zbl 1310.82003
Chetverushkin, Boris; D’Ascenzo, Nicola; Ishanov, Sergey; Saveliev, Valeri
2015
Construction of the linear response operator of an atmospheric general circulation model to small external forcing. Zbl 1007.86003
Gritsoun, A. S.; Branstator, G.; Dymnikov, V. P.
2002
A numerical technique for geophysical data assimilation problems using Pontryagin’s principle and splitting-up method. Zbl 0818.65057
Marchuk, G. I.; Zalesny, V. B.
1993
The bisection method for symmetric eigenvalue problems with a parameter entering nonlinearly. Zbl 0818.65026
Dautov, R. Z.; Lyashko, A. D.; Solov’ev, S. I.
1994
Application of notions and relations of differential geometry to grid generation. Zbl 0990.65027
Liseikin, V. D.
2001
Tensor conjugate-gradient-type method for Rayleigh quotient minimization in block QTT-format. Zbl 1252.65076
Lebedeva, O. S.
2011
Analysis of a regularized model for the isothermal two-component mixture with the diffuse interface. Zbl 1422.65145
Balashov, Vladislav; Zlotnik, Alexander; Savenkov, Evgeny
2017
Discontinuous solutions of a Dirichlet-type boundary-value problem for the first-order partial differential equation. Zbl 0821.35027
Subbotin, A. I.
1993
A new method for determining the roots of polynomials of least deviation on a segment with weight and subject to additional conditions. I. Zbl 0818.65035
Lebedev, V. I.
1993
A monotone nonlinear finite volume method for advection-diffusion equations on unstructured polyhedral meshes in 3D. Zbl 1195.65195
Nikitin, K.; Vassilevski, Yu.
2010
Numerical issues of modelling blood flow in networks of vessels with pathologies. Zbl 1260.92039
Vassilevski, Yu.; Simakov, S.; Salamatova, V.; Ivanov, Yu.; Dobroserdova, T.
2011
Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes. Zbl 1282.76126
Terekhov, K.; Vassilevski, Yu.
2013
Computational study of blood flow in lower extremities under intense physical load. Zbl 1276.92026
Simakov, S.; Gamilov, T.; Soe, Y. N.
2013
Approximate methods for solving nonlinear initial-boundary value problems based on special constructions of series. Zbl 0820.76079
Filimonov, M. Yu.; Korzunin, L. G.; Sidorov, A. F.
1993
A new method for determining the roots of polynomials of least deviation on a segment with weight and subject to additional conditions. II. Zbl 0818.65036
Lebedev, V. I.
1993
Zolotarev polynomials and extremum problems. Zbl 0818.65011
Lebedev, V. I.
1994
Iteration methods for solving a data assimilation problem. Zbl 0818.65058
Marchuk, G. I.; Shutyaev, V. P.
1994
Fluctuation-dissipation theorem on attractors of atmospheric models. Zbl 1057.76066
Gritsoun, A. S.
2001
Numerical aspects of one stabilization method. Zbl 1058.65095
Chizhonkov, E. V.
2003
Local and global error estimation in Nordsieck methods. Zbl 1180.65099
Kulikov, G. Yu.; Shindin, S. K.
2008
Continuous mathematical model of platelet thrombus formation in blood flow. Zbl 06032989
Tokarev, A.; Sirakov, I.; Panasenko, G.; Volpert, V.; Shnol, E.; Butylin, A.; Ataullakhanov, F.
2012
An optimal strategy for leukemia therapy: a multi-objective approach. Zbl 1260.92037
Todorov, Y.; Fimmel, E.; Bratus, A. S.; Semenov, Y. S.; Nuernberg, F.
2011
Asymptotic error estimate for general Newton-type methods and its application to differential equations. Zbl 1145.65033
Kulikov, G. Yu.; Merkulov, A. I.; Shindin, S. K.
2007
Methods of numerical analysis for boundary value problems with strong singularity. Zbl 1182.65172
Rukavishnikov, V. A.
2009
Numerical analysis of iterative methods for solving evolution data assimilation problems. Zbl 0963.65054
Parmuzin, E. I.; Shutyaev, V. P.
1999
Variable time steps optimization of $$L_{\omega}$$-stable Crank-Nicolson method. Zbl 1080.65077
Medovikov, A. A.; Lebedev, V. I.
2005
Virtual blunt injury of human thorax: age-dependent response of vascular system. Zbl 1327.74104
Beklemysheva, Katerina A.; Danilov, Alexander A.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vassilevski, Yuri V.; Vasyukov, Alexey V.
2015
Special issue: Selected papers based on the presentations at the industrial section of the 1st international conference on matrix methods and operator equations, Moscow, Russia, June 20–25, 2005. Zbl 1125.65302
Tyrtyshnikov, E. E. (ed.)
2007
Solving eigenvalue problems for two-parameter polynomial matrices. Methods and algorithms. I. Zbl 0818.65027
Kublanovskaya, V. N.
1994
On Newton methods in data assimilation. Zbl 0983.65070
Le Dimet, F.-X.; Shutyaev, V. P.
2000
Numerical solution of quasilinear parabolic equations and backward stochastic differential equations. Zbl 1050.65002
Makarov, R. N.
2003
Matrix approximations and solvers using tensor products and non-standard wavelet transforms related to irregular grids. Zbl 1055.65152
Ford, J. M.; Oseledets, I. V.; Tyrtyshnikov, E. E.
2004
Two finite-difference schemes for calculation of Bingham fluid flows in a cavity. Zbl 1151.76539
Muravleva, E. A.; Olshanskii, M. A.
2008
An algorithm for the solution of the ocean hydrothermodynamics problem with variational assimilation of the sea level function data. Zbl 1388.86001
Agoshkov, V. I.; Gusev, A. V.; Diansky, N. A.; Oleinikov, R. V.
2007
A high accurate composite grid method for solving Laplace’s boundary value problems with singularities. Zbl 1135.65040
Volkov, E. A.; Dosiyev, A. A.
2007
Linear stability analysis of Poiseuille flow in a rectangular duct. Zbl 1379.76011
Demyanko, K. V.; Nechepurenko, Yu. M.
2013
Uzawa method on semi-staggered grids for unsteady Bingham media flows. Zbl 1404.76182
Muravleva, L. V.; Muravleva, E. A.
2009
On convergence in $$C_2$$ of a difference solution of the Laplace equation on a rectangle. Zbl 0945.65116
Volkov, E. A.
1999
The accurate continuous-discrete extended Kalman filter for continuous-time stochastic systems. Zbl 1321.65012
Kulikov, Gennady Yu.; Kulikova, Maria V.
2015
Maximum response perturbation-based control of virus infection model with time-delays. Zbl 1379.92029
Bocharov, Gennady A.; Nechepurenko, Yuri M.; Khristichenko, Michael Yu.; Grebennikov, Dmitry S.
2017
On an iterative method for finding lower eigenvalues. Zbl 0816.65017
D’yakonov, E. G.; Knyazev, A. V.
1992
The mean-square stability of numerical methods for solving stochastic differential equations. Zbl 0818.65150
Artem’ev, S. S.
1994
Some properties of the control operator in the problem of data assimilation and iterative algorithms. Zbl 0840.65040
Shutyaev, V. P.
1995
Group analysis of kinetic equations. Zbl 0838.35101
Grigoriev, Yu. N.; Meleshko, S. V.
1995
On the errors of discretely stochastic procedures in estimating globally the solution of an integral equation of the second kind. Zbl 0854.65120
Voytishek, A. V.
1996
On the use of a regular grid for implementation of boundary integral methods for wave problems. Zbl 0981.65137
Bespalov, A. N.
2000
Explicit difference schemes for solving stiff systems of ODEs and PDEs with complex spectrum. Zbl 0914.65087
Lebedev, V. I.
1998
Explicit iterative difference schemes for parabolic equations. Zbl 0913.65075
Shvedov, A. S.; Zhukov, V. T.
1998
Optimization of discretely stochastic procedures for globally estimating the solution of an integral equation of the second kind. Zbl 0891.65140
Shkarupa, E. V.; Voytishek, A. V.
1997
On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped. Zbl 1055.65116
Volkov, E. A.
2004
Difference scheme of the solution decomposition method for a singularly perturbed parabolic reaction-diffusion equation. Zbl 1192.65139
Shishkin, G. I.
2010
Grid approximation of a singularly perturbed elliptic convection-diffusion equation in an unbounded domain. Zbl 1092.65111
Shishkin, G. I.
2006
On optimal solution error in variational data assimilation: Theoretical aspects. Zbl 1102.65096
Le Dimet, F.-X.; Shutyaev, V.; Gejadze, I.
2006
Numerical method for 3D two-component isothermal compressible flows with application to digital rock physics. Zbl 1416.76171
Balashov, Vladislav; Savenkov, Evgenii; Zlotnik, Alexander
2019
Study and solution of identification problems for nonstationary 2D and 3D convection-diffusion equations. Zbl 1067.65099
Agoshkov, V. I.; Minuk, F. P.; Rusakov, A. S.; Zalesny, V. B.
2005
Computational aspects of time-lag models of Marchuk type that arise in immunology. Zbl 1081.65071
Baker, C. T. H.; Bocharov, G. A.
2005
Energy equation for certain approximate models of long-wave hydrodynamics. Zbl 1291.76064
Fedotova, Zinaida I.; Khakimzyanov, Gayaz S.; Dutykh, Denys
2014
Virtual fractional flow reserve assessment in patient-specific coronary networks by 1D hemodynamic model. Zbl 1327.76176
Gamilov, Timur M.; Kopylov, Philippe Yu.; Pryamonosov, Roman A.; Simakov, Sergey S.
2015
A semi-Lagrangian method on dynamically adapted octree meshes. Zbl 1328.65054
Terekhov, Kirill M.; Nikitin, Kirill D.; Olshanskii, Maxim A.; Vassilevski, Yuri V.
2015
Asymptotic approximations for the stationary radiative-conductive heat transfer problem in the two-dimensional system of plates. Zbl 1367.35022
Amosov, Andrey A.
2017
Numerical analysis of nonsmooth variational problems of perfect plasticity. Zbl 0820.73079
Repin, S. I.
1994
On the justification of the applicability of the Fourier method to the solution of nonlinear partial differential equations. Zbl 0857.65106
Filimonov, M. Yu.
1996
On two-sided error estimates for approximate solutions of problems in the linear theory of elasticity. Zbl 1027.74070
Muzalevsky, A. V.; Repin, S. I.
2003
3D Helmholtz wave equation by fictitious domain method. Zbl 0925.65185
Kuznetsov, Yu. A.; Lipnikov, K. N.
1998
Mathematical modelling of the three-dimensional boundary value problem of the discharge of the well system in a homogeneous layer. Zbl 1142.65467
Lifanov, I. K.; Piven, V. F.; Stavtsev, S. L.
2002
Parallel realization of statistical simulation and random number generators. Zbl 0999.65001
Marchenko, M. A.; Mikhailov, G. A.
2002
Numerical simulation of significant long-term decreases in air temperature. Zbl 1146.65011
Derenok, K. V.; Ogorodnikov, V. A.
2008
Unstable periodic trajectories of a barotropic model of the atmosphere. Zbl 1144.86304
Gritsun, A. S.
2008
Numerical model of the circulation of the Black Sea and the Sea of Azov. Zbl 1242.86007
Zalesny, V. B.; Diansky, N. A.; Fomin, V. V.; Moshonkin, S. N.; Demyshev, S. G.
2012
Application of the method of incomplete cross approximation to a nonstationary problem of vortex rings dynamics. Zbl 1328.76018
Stavtsev, S. L.
2012
Monte Carlo algorithms for calculation of diffusive characteristics of an electron avalanche in gases. Zbl 1358.78085
Lotova, Galiya Z.
2016
Non-degenerate Eulerian finite element method for solving PDEs on surfaces. Zbl 1276.65079
Chernyshenko, A. Y.; Olshanskii, M. A.
2013
On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm. Zbl 1269.65110
Anjam, I.; Nokka, M.; Repin, S. I.
2012
Modelling of thrombus growth and growth stop in flow by the method of dissipative particle dynamics. Zbl 1344.92049
Tosenberger, A.; Ataullakhanov, F.; Bessonov, N.; Panteleev, M.; Tokarev, A.; Volpert, V.
2012
A new interpolation method for observation data obtained from ARGO buoys system. Zbl 1260.86002
Zakharova, N. B.; Agoshkov, V. I.; Parmuzin, E. I.
2013
Optimization of one three-parameter method of solving an algebraic system of the Stokes type. Zbl 0947.65038
Bychenkov, Yu. V.; Chizonkov, E. V.
1999
New iterative methods for singular perturbed positive definite matrices. Zbl 0945.65031
Kuznetsov, Yu. A.
2000
The Baltic Sea circulation modelling and assessment of marine pollution. Zbl 1302.86006
Zalesny, Vladimir; Gusev, Anatoly; Chernobay, Sergey; Aps, Robert; Tamsalu, Rein; Kujala, Pentti; Rytkönen, Jorma
2014
A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098
Khoromskij, Boris N.; Repin, Sergey I.
2015
Explicit algorithms to solve a class of state constrained parabolic optimal control problems. Zbl 1329.49046
Lapin, Alexander; Laitinen, Erkki; Lapin, Sergey
2015
The method of hypersingular integral equations in the problem of electromagnetic wave diffraction by a dielectric body with a partial perfectly conducting coating. Zbl 1375.78038
Setukha, Alexey V.; Bezobrazova, Elizaveta N.
2017
A three-dimensional model of general thermospheric circulation. Zbl 1275.86004
Kulyamin, D. V.; Dymnikov, V. P.
2013
Data perturbation stability of difference schemes on uniform grids for a singularly perturbed convection-diffusion equation. Zbl 1276.65043
Shishkin, G. I.
2013
Numerical simulation of blood flows with non-uniform distribution of erythrocytes and platelets. Zbl 1275.92012
Bessonov, N.; Babushkina, E.; Golovashchenko, S.; Tosenberger, A.; Ataullakhanov, F.; Panteleev, M.; Tokarev, A.; Volpert, V.
2013
An extremal shift method for control of HIV infection dynamics. Zbl 1319.49062
Bocharov, Gennady; Kim, Arkady; Krasovskii, Andrey; Chereshnev, Valery; Glushenkova, Vera; Ivanov, Alexey
2015
Semidiscrete approximations for the stationary radiative-conductive heat transfer problem in a two-dimensional system of plates. Zbl 1333.35282
Amosov, Andrey A.; Maslov, Dmitry A.
2016
On construction of the stable permutations of parameters for the Chebyshev iterative methods. I. Zbl 1032.65059
Lebedev, V. I.; Finogenov, S. A.
2002
Automatic error control in the Gauss-type nested implicit Runge-Kutta formula of order 6. Zbl 1168.65368
Kulikov, G. Yu.
2009
Global error control in implicit parallel peer methods. Zbl 1196.65133
Kulikov, G. Yu.; Weiner, R.
2010
Using maximum cross section method for filtering jump-diffusion random processes. Zbl 07207773
Averina, Tatyana A.; Rybakov, Konstantin A.
2020
Discrete and asymptotic approximations for one stationary radiative-conductive heat transfer problem. Zbl 1446.35202
Amosov, Andrey A.; Krymov, Nikita E.
2020
High order modified differential equation of the Beam-Warming method. I. The dispersive features. Zbl 07207775
Shokin, Yurii; Winnicki, Ireneusz; Jasinski, Janusz; Pietrek, Slawomir
2020
Numerical steady state analysis of the Marchuk-Petrov model of antiviral immune response. Zbl 07207776
Sklyarova, Ekaterina V.; Nechepurenko, Yuri M.; Bocharov, Gennady A.
2020
Methods of variational data assimilation with application to problems of hydrothermodynamics of marine water areas. Zbl 1447.49063
Agoshkov, Valery I.; Lezina, Natalia R.; Parmuzin, Eugene I.; Sheloput, Tatiana O.; Shutyaev, Victor P.; Zakharova, Natalia B.
2020
Numerical method for 3D two-component isothermal compressible flows with application to digital rock physics. Zbl 1416.76171
Balashov, Vladislav; Savenkov, Evgenii; Zlotnik, Alexander
2019
Neural networks for topology optimization. Zbl 1420.68178
Sosnovik, Ivan; Oseledets, Ivan
2019
Eulerian modelling of compressible three-fluid flows with surface tension. Zbl 1421.76200
Zhang, Chao; Menshov, Igor
2019
Stochastic and deterministic kinetic energy backscatter parameterizations for simulation of the two-dimensional turbulence. Zbl 1421.76098
Perezhogin, Pavel A.; Glazunov, Andrey V.; Gritsun, Andrey S.
2019
Influence of electron temperature on breaking of plasma oscillations. Zbl 1416.82042
Chizhonkov, Eugene V.; Frolov, Alexander A.
2019
Sharp error estimate for implicit finite element scheme for American put option. Zbl 1418.91597
Dautov, Rafail Z.; Lapin, Alexander V.
2019
Lumped parameter heart model with valve dynamics. Zbl 07161611
Simakov, Sergey S.
2019
Numerical study of plane Couette flow: turbulence statistics and the structure of pressure-strain correlations. Zbl 1467.76033
Mortikov, Evgeny V.; Glazunov, Andrey V.; Lykosov, Vasily N.
2019
Boundary least squares method with three-dimensional harmonic basis of higher order for solving linear div-curl systems with Dirichlet conditions. Zbl 1422.65419
Yuldasheva, Marina B.; Yuldashev, Oleg I.
2019
Spatially resolved modelling of immune responses following a multiscale approach: from computational implementation to quantitative predictions. Zbl 1431.92032
Grebennikov, Dmitry S.; Bocharov, Gennady A.
2019
Simulation of a random field with given distribution of one-dimensional integral. Zbl 07161615
Kablukova, Evgeniya G.; Mikhailov, Guennady A.; Ogorodnikov, Vasily A.; Prigarin, Sergei M.
2019
On the energy dissipative spatial discretization of the barotropic quasi-gasdynamic and compressible Navier-Stokes equations in polar coordinates. Zbl 1448.65126
Zlotnik, Alexander
2018
New homogenization method for diffusion equations. Zbl 1391.76713
Kuznetsov, Yuri A.
2018
A splitting method for free surface flows over partially submerged obstacles. Zbl 1392.65067
Nikitin, Kirill D.; Olshanskii, Maxim A.; Terekhov, Kirill M.; Vassilevski, Yuri V.
2018
Comparative analysis of vector algorithms for statistical modelling of polarized radiative transfer process. Zbl 1396.65010
Mikhailov, Gennady A.; Prigarin, Sergei M.; Rozhenko, Sergey A.
2018
Statistical analysis of diffusion systems with invariants. Zbl 1436.65011
Averina, Tatiana A.; Karachanskaya, Elena V.; Rybakov, Konstantin A.
2018
Practical implementation of extended Kalman filtering in chemical systems with sparse measurements. Zbl 06858144
Kulikov, Gennady Yu.; Kulikova, Maria V.
2018
Semi-Lagrangian difference approximations with different stability requirements. Zbl 1448.65136
Shaidurov, Vladimir V.; Vyatkin, Alexander V.; Kuchunova, Elena V.
2018
Adjoint equations in variational data assimilation problems. Zbl 06866524
Shutyaev, Victor P.
2018
Variational assimilation with covariance matrices of observation data errors for the model of the Baltic Sea dynamics. Zbl 1391.49036
Agoshkov, Valery I.; Parmuzin, Eugene I.; Zakharova, Natalia B.; Shutyaev, Victor P.
2018
Mathematical modelling of platelet rich plasma clotting. Pointwise unified model. Zbl 1405.92114
Andreeva, Anna A.; Anand, Mohan; Lobanov, Alexey I.; Nikolaev, Andrey V.; Panteleev, Mikhail A.; Susree, Modepalli
2018
Numerical simulation of aberrated medical ultrasound signals. Zbl 1405.92132
Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V.; Vassilevski, Yuri V.
2018
The study of the influence of heart ventricular wall thickness on pseudo-ECG. Zbl 1405.92139
Razumov, Artem A.; Ushenin, Konstantin S.; Butova, Ksenia A.; Solovyova, Olga E.
2018
Analysis of anticancer efficiency of combined fractionated radiotherapy and antiangiogenic therapy via mathematical modelling. Zbl 1396.92035
Kuznetsov, Maxim B.; Gubernov, Vladimir V.; Kolobov, Andrey V.
2018
A block Newton’s method for computing invariant pairs of nonlinear matrix pencils. Zbl 1392.65089
Demyanko, Kirill V.; Nechepurenko, Yuri M.
2018
Hessian-based covariance approximations in variational data assimilation. Zbl 1440.65061
Gejadze, Igor Yu.; Shutyaev, Victor P.; Le Dimet, François-Xavier
2018
Analysis of a regularized model for the isothermal two-component mixture with the diffuse interface. Zbl 1422.65145
Balashov, Vladislav; Zlotnik, Alexander; Savenkov, Evgeny
2017
Maximum response perturbation-based control of virus infection model with time-delays. Zbl 1379.92029
Bocharov, Gennady A.; Nechepurenko, Yuri M.; Khristichenko, Michael Yu.; Grebennikov, Dmitry S.
2017
Asymptotic approximations for the stationary radiative-conductive heat transfer problem in the two-dimensional system of plates. Zbl 1367.35022
Amosov, Andrey A.
2017
The method of hypersingular integral equations in the problem of electromagnetic wave diffraction by a dielectric body with a partial perfectly conducting coating. Zbl 1375.78038
Setukha, Alexey V.; Bezobrazova, Elizaveta N.
2017
Mathematical modelling of chemotherapy combined with bevacizumab. Zbl 1379.92020
Kuznetsov, Maxim B.; Kolobov, Andrey V.
2017
Comparison of numerical advection schemes in two-dimensional turbulence simulation. Zbl 1362.76028
Perezhogin, Pavel A.; Glazunov, Andrey V.; Mortikov, Evgeny V.; Dymnikov, Valentin P.
2017
Splitting schemes with respect to physical processes for double-porosity poroelasticity problems. Zbl 1457.76100
Kolesov, Alexander E.; Vabishchevich, Petr N.
2017
The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries. Zbl 1369.49042
Agoshkov, Valery I.; Sheloput, Tatiana O.
2017
Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method. Zbl 1369.35041
Rogazinsky, Sergey V.
2017
The structure and stabilization by boundary conditions of an annular flow of Kolmogorov type. Zbl 06760709
Kornev, Andrei A.
2017
Numerical modelling of medical ultrasound: phantom-based verification. Zbl 1379.92028
Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kulberg, Nikolay S.; Petrov, Igor B.; Vasyukov, Aleksey V.
2017
On computing the location of laminar-turbulent transition in compressible boundary layers. Zbl 1362.76029
Boiko, Andrey V.; Demyanko, Kirill V.; Nechepurenko, Yuri M.
2017
Statement and study of some inverse problems in modelling of hydrophysical fields for water areas with ‘liquid’ boundaries. Zbl 1366.49039
Agoshkov, Valery I.
2017
Numerical statistical study of the angular distribution of the polarized radiation scattered by a medium. Zbl 1365.65005
Tracheva, Natalya V.; Ukhinov, Sergey A.
2017
A finite element method for the Navier-Stokes equations in moving domain with application to hemodynamics of the left ventricle. Zbl 1368.76031
Danilov, Alexander; Lozovskiy, Alexander; Olshanskii, Maxim; Vassilevski, Yuri
2017
A Newton-type method for non-linear eigenproblems. Zbl 1368.65056
Demyanko, Kirill V.; Nechepurenko, Yuri M.; Sadkane, Miloud
2017
Vector Monte Carlo algorithms with finite computational cost. Zbl 1386.65022
Medvedev, Ilia N.
2017
Simulation of seismic processes in geological exploration of Arctic shelf. Zbl 1375.86002
Stognii, Polina V.; Petrov, Dmitriy I.; Khokhlov, Nikolai I.; Petrov, Igor B.
2017
Multicomponent Gause’s principle in models of biological communities. Zbl 1379.92053
Razzhevaikin, Valery N.
2017
Mechanical model of the left ventricle of the heart approximated by axisymmetric geometry. Zbl 1379.92005
Syomin, Fyodor A.; Tsaturyan, Andrey K.
2017
Diagnostics of a gradient catastrophe for a class of quasilinear hyperbolic systems. Zbl 1367.35088
Chizhonkov, Eugene V.
2017
The continuous-discrete extended Kalman filter revisited. Zbl 1362.93154
Kulikov, Gennady Yu.; Kulikova, Maria V.
2017
Sensitivity with respect to observations in variational data assimilation. Zbl 1365.65176
Shutyaev, Victor; Le Dimet, Francois-Xavier; Shubina, Elena
2017
Fast topological-shape optimization with boundary elements in two dimensions. Zbl 1367.35170
Ostanin, Igor A.; Zorin, Denis N.; Oseledets, Ivan V.
2017
Monte Carlo algorithms for calculation of diffusive characteristics of an electron avalanche in gases. Zbl 1358.78085
Lotova, Galiya Z.
2016
Semidiscrete approximations for the stationary radiative-conductive heat transfer problem in a two-dimensional system of plates. Zbl 1333.35282
Amosov, Andrey A.; Maslov, Dmitry A.
2016
Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis. Zbl 1333.65098
Zlotnik, Alexander; Zlotnik, Ilya
2016
The study and numerical solution of the problem of heat and salinity transfer assuming “liquid” boundaries. Zbl 1346.49045
Agoshkov, Valery I.; Sheloput, Tatiana O.
2016
Fitting the SEIR model of seasonal influenza outbreak to the incidence data for Russian cities. Zbl 1349.92142
Leonenko, Vasiliy N.; Ivanov, Sergey V.
2016
Drift of scroll waves of electrical excitation in an isotropic model of the cardiac left ventricle. Zbl 1349.92044
Pravdin, Sergei F.; Dierckx, Hans; Panfilov, Alexander
2016
Transcranial ultrasound of cerebral vessels in silico: proof of concept. Zbl 1349.92090
Vassilevski, Yuri V.; Beklemysheva, Katerina A.; Grigoriev, Georgiy K.; Kazakov, Alexander O.; Kulberg, Nikolay S.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vasyukov, Aleksey V.
2016
Parallel implementation of the cascade mass-conserving semi-Lagrangian transport scheme. Zbl 1337.86003
Shashkin, Vladimir V.; Tolstykh, Mikhail A.
2016
Numerical modelling of coupled neutral atmospheric general circulation and ionosphere D region. Zbl 1346.86004
Kulyamin, Dmitry V.; Dymnikov, Valentin P.
2016
Stochastic models of piecewise-constant and piecewise-linear non-Gaussian processes based on Poisson flows. Zbl 1339.60051
Ogorodnikov, Vasily A.; Sereseva, Olga V.; Kargapolova, Nina A.
2016
Coupled atmosphere-ocean model SLAV-INMIO: implementation and first results. Zbl 1382.86002
Fadeev, Rostislav Yu.; Ushakov, Konstantin V.; Kalmykov, Vladimir V.; Tolstykh, Mikhail A.; Ibrayev, Rashit A.
2016
Numerical aspects of applying the fluctuation dissipation theorem to study climate system sensitivity to external forcings. Zbl 1382.86004
Gritsun, Andrey; Branstator, Grant
2016
Application of kinetic approach to porous medium flow simulation in environmental hydrology problems on high-performance computing systems. Zbl 06617144
Chetverushkin, Boris N.; Churbanova, Natalia G.; Kuleshov, Andrey A.; Lyupa, Anastasiya A.; Trapeznikova, Marina A.
2016
Weighted Monte Carlo estimators for angular distributions of the solar radiation reflected from a cloud layer. Zbl 1350.78007
Mikhailov, Gennady A.; Prigarin, Sergey M.; Rozhenko, Sergey A.
2016
Weighted statistical modelling algorithms with branching and extension of a model ensemble of interacting particles. Zbl 1388.82020
Rogasinsky, Sergey V.
2016
A combined computational algorithm for solving the problem of long surface waves runup on the shore. Zbl 1346.76152
Shokin, Yurii I.; Rychkov, Alexander D.; Khakimzyanov, Gayaz S.; Chubarov, Leonid B.
2016
The study of scroll wave dynamics in personalized models of the left ventricle of the human heart. Zbl 1349.92045
Ushenin, Konstantin S.; Pravdin, Sergei F.; Alueva, Yuliya S.; Chumarnaya, Tatyana V.; Solovyova, Olga E.
2016
Preconditioners for hierarchical matrices based on their extended sparse form. Zbl 1333.65030
Sushnikova, Darya A.; Oseledets, Ivan V.
2016
Discontinuous Galerkin method for wave propagation in elastic media with inhomogeneous inclusions. Zbl 1333.65114
Voroshchuk, Denis N.; Miryaha, Vladislav A.; Petrov, Igor B.; Sannikov, Alexander V.
2016
Sensitivity of functionals with respect to observations in variational data assimilation. Zbl 1335.86001
Le Dimet, François-Xavier; Shutyaev, Victor; Parmuzin, Eugene
2016
Solution of radiative transfer theory problems for ‘realistic’ models of random media using the Monte Carlo method. Zbl 1339.65005
Ambos, Andrey Yu.; Mikhailov, Gennady A.
2016
An application of a data assimilation method based on the diffusion stochastic process theory using altimetry data in Atlantic. Zbl 1387.86041
Belyaev, Konstantin P.; Kuleshov, Andrey A.; Tanajura, Clemente A. S.
2016
Characteristics of finite difference methods for dispersive shallow water equations. Zbl 1381.76235
Fedotova, Zinaida I.; Khakimzyanov, Gayaz S.
2016
Hyperbolic type explicit kinetic scheme of magneto gas dynamics for high performance computing systems. Zbl 1310.82003
Chetverushkin, Boris; D&rsquo;Ascenzo, Nicola; Ishanov, Sergey; Saveliev, Valeri
2015
Virtual blunt injury of human thorax: age-dependent response of vascular system. Zbl 1327.74104
Beklemysheva, Katerina A.; Danilov, Alexander A.; Petrov, Igor B.; Salamatova, Victoria Yu.; Vassilevski, Yuri V.; Vasyukov, Alexey V.
2015
The accurate continuous-discrete extended Kalman filter for continuous-time stochastic systems. Zbl 1321.65012
Kulikov, Gennady Yu.; Kulikova, Maria V.
2015
Virtual fractional flow reserve assessment in patient-specific coronary networks by 1D hemodynamic model. Zbl 1327.76176
Gamilov, Timur M.; Kopylov, Philippe Yu.; Pryamonosov, Roman A.; Simakov, Sergey S.
2015
A semi-Lagrangian method on dynamically adapted octree meshes. Zbl 1328.65054
Terekhov, Kirill M.; Nikitin, Kirill D.; Olshanskii, Maxim A.; Vassilevski, Yuri V.
2015
A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098
Khoromskij, Boris N.; Repin, Sergey I.
2015
Explicit algorithms to solve a class of state constrained parabolic optimal control problems. Zbl 1329.49046
Lapin, Alexander; Laitinen, Erkki; Lapin, Sergey
2015
An extremal shift method for control of HIV infection dynamics. Zbl 1319.49062
Bocharov, Gennady; Kim, Arkady; Krasovskii, Andrey; Chereshnev, Valery; Glushenkova, Vera; Ivanov, Alexey
2015
Simulation of tsunami waves generated by submarine landslides in the Black Sea. Zbl 1327.76033
Khakimzyanov, Gayaz S.; Gusev, Oleg I.; Beizel, Sofya A.; Chubarov, Leonid B.; Shokina, Nina Yu.
2015
The study of antitumor efficacy of bevacizumab antiangiogenic therapy using a mathematical model. Zbl 1325.92046
Kolobov, Andrey V.; Gubernov, Vladimir V.; Kuznetsov, Maxim B.
2015
High order approximations in space and time of a sixth order Cahn-Hilliard equation. Zbl 1334.65153
Boyarkin, Oleg; Hoppe, Ronald H. W.; Linsenmann, Christopher
2015
Variational assimilation of observation data in the mathematical model of the Baltic Sea dynamics. Zbl 1322.49052
Agoshkov, Valeriy I.; Parmuzin, Eugene I.; Zalesny, Vladimir B.; Shutyaev, Victor P.; Zakharova, Natalia B.; Gusev, Anatoly V.
2015
On overturn of two-dimensional nonlinear plasma oscillations. Zbl 1327.82082
Chizhonkov, Eugene V.; Frolov, Alexander A.; Milyutin, Sergei V.
2015
Easily implementable iterative methods for variational inequalities with nonlinear diffusion-convection operator and constraints to the gradient of solution. Zbl 1309.65076
Laitinen, Erkki; Lapin, Alexander; Lapin, Sergey
2015
A family of triangular Hermite finite elements complementing the Bogner-Fox-Schmit rectangle. Zbl 1309.65134
Gileva, Lidia; Shaidurov, Vladimir; Dobronets, Boris
2015
Monte Carlo simulation of ring-shaped returns for CCD LIDAR systems. Zbl 1325.78016
Prigarin, Sergei M.; Aleshina, Tat&rsquo;yana V.
2015
On modifications of the Navier-Stokes equations. Zbl 1314.35082
Kobelkov, Georgij M.
2015
Error estimates for the $$RT_{0}$$ and PWCF methods for the diffusion equations on triangular and tetrahedral meshes. Zbl 1309.65126
Kuznetsov, Yuri A.
2015
Interpolation of functions based on poincare type inequalities for functions with zero mean boundary traces. Zbl 1312.41009
Repin, Sergej I.
2015
Exact differentiable penalty for a problem of quadratic programming with the use of a gradient-projective method. Zbl 1309.90074
Tret&rsquo;yakov, Alexey; Tyrtyshnikov, Eugene
2015
Mathematical modelling of the within-host HIV quasispecies dynamics in response to antiviral treatment. Zbl 1350.93009
Bocharov, Gennady A.; Telatnikov, Ilya S.; Chereshnev, Valery A.; Martinez, Javier; Meyerhans, Andreas
2015
Energy equation for certain approximate models of long-wave hydrodynamics. Zbl 1291.76064
Fedotova, Zinaida I.; Khakimzyanov, Gayaz S.; Dutykh, Denys
2014
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#### Cited by 1,184 Authors

 20 Kulikov, Gennady Yur’evich 19 Mikhaĭlov, Gennadiĭ Alekseevich 19 Shutyaev, Victor Petrovich 19 Vassilevski, Yuri V. 17 Nechepurenko, Yuri M. 16 Repin, Sergeĭ Igorevich 16 Zlotnik, Alexander A. 15 Chetverushkin, Boris Nikolaevich 15 Kuznetsov, Yurii Alekseevich 14 Olshanskii, Maxim A. 13 Khoromskij, Boris N. 13 Oseledets, Ivan V. 12 Tyrtyshnikov, Evgeniĭ Evgen’evich 11 Agoshkov, Valeriĭ Ivanovich 11 Bocharov, Gennady A. 11 Lipnikov, Konstantin N. 10 Beklemysheva, Katerina A. 10 Nikitin, Kirill D. 10 Petrov, Igor’ Borisovich 10 Solov’ëv, Sergeĭ Ivanovich 9 Le Dimet, Francois-Xavier 9 Setukha, Alexey V. 9 Shishkin, Grigoriĭ Ivanovich 9 Tachim Medjo, Theodore 8 Dolgov, Sergey V. 8 Lapin, Aleksandr Vasil’evich 8 Pearson, John W. 8 Yuan, Guangwei 7 Demyanko, Kirill V. 7 Ogorodnikov, Vasily A. 7 Parmuzin, Eugene I. 7 Rukavishnikov, Viktor Anatol’evich 7 Saveliev, Valeri I. 7 Terekhov, Kirill M. 7 Volpert, Vitaly A. 7 Weiner, Rüdiger 6 Amosov, Andreĭ Avenirovich 6 Baker, Christopher T. H. 6 Brezzi, Franco 6 Il’in, Valeriĭ Pavlovich 6 Khakimzyanov, Gayaz Salimovich 6 Manzini, Gianmarco 6 Martín-Vaquero, Jesús 6 Savostyanov, Dmitry V. 6 Shaĭdurov, Vladimir Victorovich 6 Shkarupa, Elena V. 6 Shokin, Yuriĭ Ivanovich 6 Simakov, Sergey S. 6 Stoll, Martin 6 Vasyukov, Aleksey V. 5 Abramov, Rafail V. 5 Ambos, Andrey Yu. 5 Averina, Tat’yana Aleksandrovna 5 Beirão da Veiga, Lourenço 5 Chernykh, Gennadiǐ Georgievich 5 Dosiyev, Adigüzel A. 5 Elizarova, Tat’yana Gennad’evna 5 Filimonov, Mikhaĭl Yur’evich 5 Grebennikov, Dmitry S. 5 Kabanikhin, Sergeĭ Igorevich 5 Khristichenko, Michael Yu. 5 Kolobov, Andrey V. 5 Kornev, Andrei A. 5 Krivorotko, Olga I. 5 Kublanovskaya, Vera Nikolaevna 5 Kuznetsov, Maxim B. 5 Lotova, Galiya Z. 5 O’Riordan, Eugene 5 Plotnikov, M. Yu. 5 Polito, Federico 5 Roos, Hans-Görg 5 Saritskaya, Zhanna Yur’evna 5 Shashkov, Mikhail J. 5 Sheng, Zhiqiang 5 Tchelepi, Hamdi A. 5 Tolstykh, Mikhail A. 5 Tracheva, Natalya V. 5 Ukhinov, Sergey A. 5 Vohralík, Martin 5 Yanbarisov, Ruslan M. 4 Balashov, V. A. 4 Balashov, Vladislav 4 Bratus, Alexander S. 4 Chizhonkov, Eugene V. 4 D’Ascenzo, Nicola 4 Dem’yanovich, Yuriĭ Kazimirovich 4 Fedotova, Zinaida Ivanovna 4 Feodoritova, O. B. 4 Gamilov, Timur M. 4 Gejadze, Igor Yu. 4 Gracia, José Luis 4 Gritsun, Andrey S. 4 Hackbusch, Wolfgang 4 Kargapolova, Nina A. 4 Kazakov, Aleksandr Leonidovich 4 Kazeev, Vladimir A. 4 Kleefeld, B. 4 Kobel’kov, Georgiĭ Mikhaĭlovich 4 Kramarenko, Vasily K. 4 Kressner, Daniel ...and 1,084 more Authors
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#### Cited in 182 Journals

 113 Russian Journal of Numerical Analysis and Mathematical Modelling 57 Journal of Computational Physics 53 Journal of Computational and Applied Mathematics 41 Computational Mathematics and Mathematical Physics 32 Lobachevskii Journal of Mathematics 28 Journal of Mathematical Sciences (New York) 25 Computer Methods in Applied Mechanics and Engineering 23 Doklady Mathematics 21 Differential Equations 18 Applied Numerical Mathematics 15 Computers & Mathematics with Applications 15 Applied Mathematics and Computation 13 Numerical Linear Algebra with Applications 13 Matematicheskoe Modelirovanie 11 SIAM Journal on Scientific Computing 11 Proceedings of the Steklov Institute of Mathematics 10 Moscow University Mathematics Bulletin 10 Mathematics of Computation 10 Numerische Mathematik 10 Computational Geosciences 9 Journal of Mathematical Analysis and Applications 9 Advances in Computational Mathematics 8 Computers and Fluids 8 Mathematics and Computers in Simulation 8 Physica D 8 Journal of Scientific Computing 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Sibirskie Èlektronnye Matematicheskie Izvestiya 7 Linear Algebra and its Applications 7 Journal of Applied Mechanics and Technical Physics 7 Mathematical Modelling of Natural Phenomena 6 Mathematical Notes 6 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 6 Monte Carlo Methods and Applications 6 Computational Methods in Applied Mathematics 5 International Journal for Numerical Methods in Fluids 5 Applied Mathematics and Optimization 5 BIT 5 Siberian Mathematical Journal 5 Applied Mathematics Letters 5 SIAM Journal on Matrix Analysis and Applications 4 Computer Physics Communications 4 Journal of Statistical Physics 4 Computing 4 Numerical Algorithms 4 SIAM Review 4 Cybernetics and Systems Analysis 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Advances in Difference Equations 4 Journal of Theoretical Biology 3 Journal of Applied Mathematics and Mechanics 3 Journal of Mathematical Biology 3 Bulletin of Mathematical Biology 3 Prikladnaya Matematika i Mekhanika 3 Numerical Functional Analysis and Optimization 3 Statistics & Probability Letters 3 Journal of Complexity 3 Constructive Approximation 3 Computational Mechanics 3 Numerical Methods for Partial Differential Equations 3 Automation and Remote Control 3 International Journal of Computer Mathematics 3 Statistical Papers 3 Journal of Inverse and Ill-Posed Problems 3 Engineering Analysis with Boundary Elements 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Chaos 3 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 3 Communications in Nonlinear Science and Numerical Simulation 3 Differentsial’nye Uravneniya i Protsessy Upravleniya 3 Journal of Numerical Mathematics 3 Mathematical Biosciences and Engineering 3 Izvestiya. Atmospheric and Oceanic Physics 3 Journal of Siberian Federal University. Mathematics & Physics 2 Fluid Dynamics 2 Nonlinearity 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 Journal of Approximation Theory 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Numerical Analysis 2 Optimal Control Applications & Methods 2 Systems & Control Letters 2 Chinese Annals of Mathematics. Series B 2 Stochastic Analysis and Applications 2 Computational Mathematics and Modeling 2 The Annals of Applied Probability 2 Applications of Mathematics 2 Journal of Nonlinear Science 2 Computational Optimization and Applications 2 Computational and Applied Mathematics 2 Bernoulli 2 International Journal of Computational Fluid Dynamics 2 Abstract and Applied Analysis 2 Optimization Methods & Software 2 Foundations of Computational Mathematics 2 Computational Methods and Function Theory 2 Discrete and Continuous Dynamical Systems. Series S 2 Communications in Applied and Industrial Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification ...and 82 more Journals
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#### Cited in 44 Fields

 564 Numerical analysis (65-XX) 285 Partial differential equations (35-XX) 231 Fluid mechanics (76-XX) 83 Biology and other natural sciences (92-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 60 Ordinary differential equations (34-XX) 59 Geophysics (86-XX) 55 Probability theory and stochastic processes (60-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 52 Mechanics of deformable solids (74-XX) 41 Systems theory; control (93-XX) 38 Statistical mechanics, structure of matter (82-XX) 29 Dynamical systems and ergodic theory (37-XX) 26 Integral equations (45-XX) 25 Statistics (62-XX) 25 Optics, electromagnetic theory (78-XX) 21 Classical thermodynamics, heat transfer (80-XX) 19 Approximations and expansions (41-XX) 15 Computer science (68-XX) 13 Real functions (26-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Operations research, mathematical programming (90-XX) 9 Functions of a complex variable (30-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Special functions (33-XX) 6 Operator theory (47-XX) 6 Quantum theory (81-XX) 6 Astronomy and astrophysics (85-XX) 5 History and biography (01-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Differential geometry (53-XX)