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# Laboratory of Mathematical Physics

Head of the laboratory: Dmitriev Vladimir, Academician of RANS, Professor, Dr.Sc., Deputy Dean.

The Laboratory was founded in 1982 on the basis of the team of researchers which come from the Research Computing Center (MSU) to the Faculty of Computational Mathematics and Cybernetics of the Moscow State University.

### Staff members:

- Barashkov Igor, Senior Research Fellow, PhD
- Berezina Nina, Senior Research Fellow, PhD
- Lopushenko Vladimir, Senior Research Fellow, PhD
- Saltykov Evgeny, Senior Research Fellow, PhD
- Maslov Alexey, Research Fellow, PhD
- Kruglyakov Mikhail, Research Fellow, PhD
- Ingtem Jenny, Researcher, PhD
- Murashkina Ksenia, Mathematician

Members of the Laboratory are taking part in the teaching process of the Faculty.

### Regular courses:

- Object oriented programming by Senior Research Fellow Berezina, 36 lecture hours and 36 seminar hours, 6th semester.

## Main Scientific directions

The laboratory of Mathematical physics is principally oriented on the following areas of research:

- mathematical modeling of low-frequency electromagnetic fields in a conducting media;
- the inverse problem of electromagnetic sounding;
- the mathematical modeling and data interpretation of electrical prospecting and geoelectrics.

The areas of interest of the Laboratory are also connected with

- the emitting systems design;
- the inverse problem of ionospheric soundings;
- paleoclimate reconstruction methods on well temperature measurements.

The main theme of the ongoing research in the Laboratory is “Methods of mathematical modeling and solutions of inverse problems in geophysics researches”.

### Recent publications:

• 2013

- Barashkov I.S., Dmitriev V.I. Modeling marine electromagnetic soundings by the reciprocity principle // Computational Mathematics and Modeling. 2013. 24. N 1. P. 1-5.
- Berezina N.I., Dmitriev V.I., Merschikova N.A. Quasi-one-dimensional method for solving the inverse magnetotelluric problem // Izvestiya. Physics of the Solid Earth. 2013. 49. N 3. P. 350-355.
- Dmitriev V.I. Direct and inverse problems in electromagnetic sounding of three-dimensional heterogeneous medium // Izvestiya. Physics of the Solid Earth. 2013. 49. N 3. P. 344-349.
- Dmitriev V.I., Dmitrieva I.V., Ingtem J.G. Integral form of the spline function in approximation problems // Computational Mathematics and Modeling. 2013. 24. N 4. P. 488-497.
- Dmitriev V.I., Ingtem J.G. Using spline approximation to differentiate a function defined with errors // Computational Mathematics and Modeling. 2013. 24. N 1. P. 65-70.
- Grigoryev V., Korotaev S., Kruglyakov M., Orekhova D., Scshors Yu., Tereshenko E., Tereshenko P., Trofimov I. Preliminary results of marine electromagnetic sounding with a powerful, remote source in Kola Bay off the Barents sea // Intern. J. Geophysics. 2013. 2013. P. 1-16.
- Grigoryev V.F., Korotaev S.M., Kruglyakov M.S., Orekhova D.A., Popova I.V., Tereshchenko E.D., Tereshchenko P.E., Schors Yu G. The results of marine electromagnetic sounding with a high-power remote source in the Kola Bay in the Barents Sea // Izvestiya. Physics of the Solid Earth. 2013. 49. N 3. P. 373-383.
- Kurkina E.S., Averchuk G.Yu Monte Сarlo simulation of the oscillatory dynamics of a catalytic reaction with lateral interactions // Computational Mathematics and Modeling. 2013. 24. N 4. P. 526-542.
- Stover J.C., Lopushenko V.V., Tayabaly K., Church E.L. Calculating BTDF from window surface roughness // Optical Manufacturing and Testing X. Proc. of SPIE. N 883804. San Diego, USA: SPIE, 2013. P. 1-6.

• 2012

- Berezina N.I., Dmitriev V.I., Mershchikova N.A. Bimodal quasi-one-dimensional method for the inverse problem of marine electromagnetic sounding // Computational Mathematics and Modeling. 2012. 23. N 4. P. 387-397.
- Dmitriev V.I. Second derivatives of the volume potential and integral equations in electrodynamics // Computational Mathematics and Modeling. 2012. 23. N 2. P. 168-174.
- Dmitriev V.I., Barashkov I.S. Mathematical modeling of marine electromagnetic sounding of a three-dimensional nonhomogeneous medium // Computational Mathematics and Modeling. 2012. 23. N 3. P. 239-253.
- Dmitriev V.I., Dmitrieva I.V. Iterative method for analytical continuation of the gravity field // Computational Mathematics and Modeling. 2012. 23. N 1. P. 51-55.
- Dmitriev V.I., Ingtem Zh.G. Numerical differentiation using spline functions // Computational Mathematics and Modeling. 2012. 23. N 3. P. 312-318.
- Dmitriev V.I., Kruglyakov M.S. Mathematical modeling of the vertical magnetic dipole field in a two-dimensional nonhomogeneous medium // Computational Mathematics and Modeling. 2012. 23. N 1. P. 42-50.
- Dmitriev V.I., Kruglyakov M.S. Quasi-three-dimensional seabed sounding problem using a horizontal electric dipole // Computational Mathematics and Modeling. 2012. 23. N 4. P. 398-407.