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2019
1 Dorodnitsyn, Vladimir A.; Kozlov, Roman; Meleshko, Sergey V..
One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: Symmetry classification, conservation laws, difference schemes. Communications in nonlinear science & numerical simulation 2019 ;Volum 74. s. 201-218
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2 Kozlov, Roman.
Conservative difference schemes for one-dimensional flows of polytropic gas. Communications in nonlinear science & numerical simulation 2019 ;Volum 78. s. 1-8
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2018
3 Dorodnitsyn, Vladimir A.; Kozlov, Roman; Meleshko, Sergey V.; Winternitz, Pavel.
Invariant solutions of delay differential equations. AIP Conference Proceedings 2018 ;Volum 1978.(1)
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4 Dorodnitsyn, Vladimir A.; Kozlov, Roman; Meleshko, Sergey V.; Winternitz, Pavel.
Lie group classification of first-order delay ordinary differential equations. Journal of Physics A: Mathematical and Theoretical 2018 ;Volum 51.(20)
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5 Dorodnitsyn, Vladimir A.; Kozlov, Roman; Meleshko, Sergey V.; Winternitz, Pavel.
Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries. Journal of Physics A: Mathematical and Theoretical 2018 ;Volum 51.(20)
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6 Kozlov, Roman.
Lie point symmetries of Stratonovich stochastic differential equations. Journal of Physics A: Mathematical and Theoretical 2018 ;Volum 51.(50)
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7 Kozlov, Roman.
Random Lie symmetries of Ito stochastic differential equations. Journal of Physics A: Mathematical and Theoretical 2018 ;Volum 51.(30)
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8 Kozlov, Roman.
Symmetries of Itô stochastic differential equations and their applications. I: Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 1. CRC Press 2018 ISBN 9781138601000. s. 408-436
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2015
9 Dorodnitsyn, Vladimir; Kaptsov, Evgeny; Kozlov, Roman; Winternitz, Pavel.
The adjoint equation method for constructing first integrals of difference equations. Journal of Physics A: Mathematical and Theoretical 2015 ;Volum 48.(5)
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10 Kozlov, Roman.
On first integrals of ODEs admitting λ -symmetries. AIP Conference Proceedings 2015 ;Volum 1648:430005.
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2014
11 Winternitz, P; Dorodnitsyn, V; Kaptsov, E.L.; Kozlov, Roman.
First integrals of difference equations which do not possess a variational formulation. Doklady. Mathematics 2014 ;Volum 89.(1) s. 106-109
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2013
12 Kozlov, Roman.
On first integrals of discrete equations with symmetries. AIP Conference Proceedings 2013 ;Volum 1558. s. 475-477
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13 Kozlov, Roman.
On symmetries of the Fokker-Planck equation. Journal of Engineering Mathematics 2013 ;Volum 82.(1) s. 39-57
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2012
14 Kozlov, Roman.
On Conservative Discretization of the Kepler Problem. AIP Conference Proceedings 2012 ;Volum 1479. s. 1299-1302
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15 Kozlov, Roman.
On symmetries of stochastic differential equations. Communications in nonlinear science & numerical simulation 2012 ;Volum 17.(12) s. 4947-4951
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16 Kozlov, Roman.
Sparse spectral discretizations for some parabolic PDEs. Analysis and Mathematical Physics 2012 ;Volum 2.(4) s. 439-446
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2011
17 Kozlov, Roman.
First Integrals of Discrete Hamiltonian Equations. AIP Conference Proceedings 2011 ;Volum 1389:490. s. -
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18 Kozlov, Roman.
ON LIE GROUP CLASSIFICATION OF A SCALAR STOCHASTIC DIFFERENTIAL EQUATION. Journal of Nonlinear Mathematical Physics 2011 ;Volum 18. s. 177-187
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19 Kozlov, Roman.
On maximal Lie point symmetry groups admitted by scalar stochastic differential equations. Journal of Physics A: Mathematical and Theoretical 2011 ;Volum 44.(20) s. -
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20 Kozlov, Roman; Dorodnitsyn, Vladimir.
Lagrangian and Hamiltonian Formalism for Discrete Equations: Symmetries and First Integrals. London Mathematical Society Lecture Notes 2011 ;Volum 381. s. 7-49
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2010
21 Dorodnitsyn, V; Kozlov, Roman.
Invariance and first integrals of continuous and discrete Hamiltonian equations. Journal of Engineering Mathematics 2010 ;Volum 66.(1-3) s. 253-270
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22 Dorodnitsyn, Vladimir; Kozlov, Roman.
Invariance and first integrals of continuous and discrete Hamiltonian equations. Journal of Engineering Mathematics 2010 ;Volum 66.(1-3) s. 253-270
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23 Kozlov, Roman.
Symmetries of systems of stochastic differential equations with diffusion matrices of full rank. Journal of Physics A: Mathematical and Theoretical 2010 ;Volum 43.(24) s. 16-
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24 Kozlov, Roman.
Symmetries of systems of stochastic differential equations with diffusion matrices of full rank. Journal of Physics A: Mathematical and Theoretical 2010 ;Volum 43.(24) s. -
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25 Kozlov, Roman.
Symmetries of systems of stochastic differential equations with diffusion matrices of full rank. Journal of Physics A: Mathematical and Theoretical 2010 ;Volum 43.(24) s. -
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26 Kozlov, Roman.
The group classification of a scalar stochastic differential equation. Journal of Physics A: Mathematical and Theoretical 2010 ;Volum 43.(5) s. -
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27 Kozlov, Roman.
The group classification of a scalar stochastic differential equation. Journal of Physics A: Mathematical and Theoretical 2010 ;Volum 43.(5) s. 13-
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2009
28 Dorodnitsyn, Vladimir; Kozlov, Roman.
First integrals of difference Hamiltonian equations. Journal of Physics A: Mathematical and Theoretical 2009 ;Volum 42.(45) s. -
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29 Kozlov, Roman.
Exponential splitting time integration for pseudospectral methods on moving meshes. Journal of Computational and Applied Mathematics 2009 ;Volum 228.(1) s. 56-69
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2008
30 Kozlov, Roman.
Exponential operator splitting time integration for spectral methods. Journal of Computational and Applied Mathematics 2008 ;Volum 222.(2) s. 592-607
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31 Kozlov, Roman.
High-order conservative discretizations for some cases of the rigid body motion. Physics Letters A 2008 ;Volum 373.(1) s. 23-29
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2007
32 Kozlov, Roman.
A conservative discretization of the Kepler problem based on the L-transformations. Physics Letters A 2007 ;Volum 369.(4) s. 262-273
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33 Kozlov, Roman.
Conservative discretizations of the Kepler motion. Journal of Physics A: Mathematical and Theoretical 2007 ;Volum 40.(17) s. 4529-4539
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2005
34 Kozlov, Roman.
On conservation properties of semidiscrete canonical Hamiltonian equations. CRM Proceedings and Lecture notes AMS 2005 ;Volum 39. s. 165-177
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35 Kozlov, Roman.
On rotationally symmetric solutions of the classical ${\rm SU}(2)$ Yang-Mills fields in $\bold R \sp {2+1}$. Journal of Nonlinear Mathematical Physics 2005
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2004
36 Kværnø, Anne; Kozlov, Roman; Owren, Brynjulf.
The behaviour of the local error in splitting methods applied to stiff problems. Journal of Computational Physics 2004 ;Volum 195.(2) s. 576-593
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37 Kozlov, Roman; Winternitz, P.
Continuous symmetries of Lagrangians and exact solutions of discrete equations. Journal of Mathematical Physics 2004 ;Volum 45. s. 336-359
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2003
38 Kozlov, Roman.
A heat transfer with a source: the complete set of invariant difference schemes. Journal of Nonlinear Mathematical Physics 2003 ;Volum 10.(1) s. 16-50
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39 Kozlov, Roman.
Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations. Journal of Nonlinear Mathematical Physics 2003 ;Volum 10. Suppl. 2 s. 41-56
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