Roman Kozlov

E-mail:

Roman.Kozlov@nhh.no

Telephone:

+47 55 95 92 86

Fax:

+47 55 95 96 47

Title:

Associate Professor, Dr. ing., Norwegian University of Science and Technology (NTNU) 2001

Date of birth:

Nationality:

Russian

Teaching languages:

Norwegian, English

• Mathematics

• MAT010 Analyse og lineær algebra

• MAT011 Differens- og differensiallikninger med stabilitetsanalyse av dynamiske systemer

• Numerical methods

• Symmetry applications to differential and discrete equations

• Lagrangian and Hamiltonian Formalism for Discrete Equations: Symmetries and First Integrals, in Symmetries and Integrability of Difference Equations, London Mathematical Society Lecture Notes (Series, Cambridge University Press), 2011, 7-49 (with Vladimir Dorodnitsyn).

• On Lie group classification of a scalar stochastic differential equation, Journal of Nonlinear Mathematical Physics, 2011, 18(Suppl. 1), 177-187.

• On maximal Lie point symmetry groups admitted by scalar stochastic differential equations, Journal of Physics A: Mathematical and Theoretical , 2011, 44(20).

• Invariance and first integrals of continuous and discrete Hamiltonian equations, Journal of Engineering Mathematics, 2010, 66(1-3), 253-270 (with Vladimir Dorodnitsyn).

• Symmetries of systems of stochastic differential equations with diffusion matrices of full rank, Journal of Physics A: Mathematical and Theoretical, 2010, 43(24).

• The group classification of a scalar stochastic differential equation, Journal of Physics A: Mathematical and Theoretical, 2010, 43(5), 1-13.

• First integrals of difference Hamiltonian equations, Journal of Physics A: Mathematical and Theoretical, 2009, 42(45), 1-17 (with Vladimir Dorodnitsyn).

• Exponential splitting time integration for pseudospectral methods on moving meshes, Journal of Computational and Applied Mathematics, 2009, 228(1), 56-69.

• Exponential operator splitting time integration for spectral methods, Journal of Computational and Applied Mathematics, 2008, 222(2), 592-607.

• High-order conservative discretizations for some cases of the rigid body motion, Physics Letters A,  2008, 373(1), 23-29.

• A conservative discretization of the Kepler problem based on the L-transformations, Physics Letters A,  2007, 369(4), 262-273.

• Conservative discretizations of the Kepler motion, Journal of Physics A, 2007, 40(17), 4529-4539. 

• The behaviour of the local error in splitting methods applied to stiff problems, Journal of Computational Physics, 2004, 195(2), 576-593 (with Anne Kværnø and Brynjulf Owren).

• Conservation laws of semidiscrete canonical Hamiltonian equations, Journal of Physics A: Mathematical and General, 2001, 34(17), 3651-3669.

• Conservation laws of semidiscrete Hamiltonian equations, Journal of Mathematical Physics, 2001, 42(4), 1708-1727.

• Invariance and first integrals of canonical Hamiltonian equations, arXiv:0809.1361v2 [math-ph] (with Vladimir Dorodnitsyn).

• Order reduction in operator splitting methods, preprint Numerics no. 6/1999, Norwegian University of Science and Technology, Trondheim, Norway (with Brynjulf Owren).