Dr. Varvara Turova
Technische Universität MünchenZentrum Mathematik - M6
Boltzmannstraße 3
85747 Garching Room: 03.04.059
Phone: +49-89-289-16828
eMail: turova
ma.tum.deHomepage
Research Interests
- Modelling and simulation of complex processes
- Optimal control theory
- Differential games
- Numerics and applications
Projects
- Project Nanosafe
- Optimal control in cryopreservation of cells and tissues
- Hysteretic aspects of CO2 sequestration modelling
Publications
2011
- N.D. Botkin, K.-H. Hoffmann, V.L.Turova
Optimal control of ice formation in living cells during freezing
Applied Mathematical Modelling, Vol. 35 (4044-4057) - A.Fedotov, V.Patsko, V.Turova
Reachable sets for simple models of car motion
Recent Advances in Mobile Robotics, InTech, edited by A.V.Topalov (147 - 172) - N.D. Botkin, K.-H. Hoffmann, V.L. Turova
Stable numerical schemes for solving Hamilton-Jacobi-Bellman-Isaacs equations
SIAM Journal on Scientific Computing, Vol. 33 (2) (992-1007) - N.D.Botkin, K.-H.Hoffmann, N.Mayer, V.L.Turova
Approximation schemes for solving disturbed control problems with non-terminal time and state constraints
Analysis, Vol. 31 (355-379)
2010
- N.D. Botkin, K.-H. Hoffmann, N. Mayer, V.L. Turova
Approximation schemes for solving disturbed control problems with nonterminal time and phase constraints
Priority programm 1253 "Optimization with Partial Differential Equations", 2010 (August), Preprint-Number: SPP1253-105 (1-21) - V.S. Patsko, V.L. Turova
Homicidal chauffeur game: history and modern studies
Advances in Dynamic Games: Theory, Applications, and Numerical Methods for Differential and Stochastic Games, Annals of the International Society of Dynamic Games, Vol. 11 (227-252) - V.L.Turova
Modeling osmotic de- and rehydration of living cells using Hamilton-Jacobi equations and reachable set techniques
Proceedings of the International Conference "Actual Problems of Stability and Control Theory" (APSCT´2009), 2010, Russia, Ekaterinburg, September 22-26 (308-315) - K.-H. Hoffmann, N.D. Botkin, V.L. Turova
Freezing of living cells: mathematical models and design of optimal cooling protocols
accepted for publication in first thematical volume of SPP1253
2009
- N.D. Botkin, K.-H. Hoffmann, V.L.Turova
Stable solutions of Hamilton-Jacobi equations. Application to control of freezing processes.
Preprint SPP 1253-080 (1-25) - V.S. Patsko, V.L. Turova
From Dubins` car to Reeds and Shepp`s mobile robot
Computing and Visualization in Science, Vol. 12(7) (345-364) - V.S. Patsko, V.L. Turova
Numerical investigation of the value function for the homicidal chauffeur problem with a more agile pursuer
Advances in Dynamic Games and Applications (Annals of the International Society of Dynamic Games), edited by P. Bernhard, V. Gaitsgory, O. Pourtallier, Boston: Birkhäuser, Vol. 10 (231-258) - V.S. Patsko, V.L. Turova
Homicidal chauffeur game: history and modern studies
Scientific report of the Institute of Mathematics and Mechanics, Ekaterinburg (1-43) - V.L.Turova
Modeling the osmotic de- and rehydration of living cells using Hamilton-Jacobi equations and reachable set techniques
Abstracts of the International Conference "Actual Problems of Stability and Control Theory", September 21-26, 2009, Ekaterinburg, Russia (181-182) - N.D. Botkin, V.L. Turova
Simulation of cell shrinkage caused by osmotic cellular dehydration during freezing
Abstracts of the 4th International Conference on High Performance Scientific Computing, Hanoi, Vietnam, March 2-6, 2009 (40)
2008
- K.-H. Hoffmann, N.D. Botkin, V.L. Turova
Optimal control in cryopreservation of living tissues
Preprints of the International Conference "Differential Equations and Topology", Moscow, June 16-22, 2008 (254-255) - V. Patsko, A. Fedotov, V. Turova
Reachable sets for some simple models of the car motion
Preprints of the International Conference "Differential Equations and Topology", Moscow, June 16-22, 2008 (245-246) - V.S. Patsko, V.L. Turova
Homicidal chauffeur game and its modifications (in Russian)
Vestnik Udmurtskogo Universiteta, N2, 2008 (105-110) - V.S. Patsko, V.L. Turova
Families of semipermeable curves and their application to some complicated variants of the homicidal chauffeur problem
Abstracts of the Second International Conference on Game Theory and Management, St.-Petersburg, June 26-27, 2008 (156-159) - K-H. Hoffmann, T. G. Amler, N. D. Botkin, V. L. Turova
Propagation and Deposition of Air Driven Nanoparticles in Complex Channeled Structures.
Poster presentation. Abstracts of the conference "Mathematics in Biosciences", Helmholtz Zentrum München (p. 32)
2007
- N.D. Botkin, K.-H. Hoffmann, O.A. Pykhteev, V.L. Turova
Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids
Journal of the Franklin Institute , Vol. 34, no. 5 (520-534) - V.S. Patsko, V.L. Turova
Numerical study of the homicidal chauffeur differential game with the reinforced pursuer
Game Theory and Applications, Vol. 12, Chapter 8 (123-152) - V.S. Patsko, V.L. Turova
Homicidal chauffeur becomes more dangerous (Album of illustrations to the presentation made at the 12-th Symposium on Dynamic Games and Applications, Sophia Antipolis, France, July 3-6, 2006
Institute of Mathematics and Mechanics, Ekaterinburg (1-62) - D.Hoffmann, N.Botkin, C.Egler, B.Fassbender, M.Hidendorff, M.Giersig, J.Knekties, R.Pascal, P.Patoka, U.Schuldenzucker, S.Troszczynska, V.Turova, A.Weckmann, M.Zabe-Kühn
Nanosafe2
caesar Annual Report 2007 (Molecular Biomedicine and Medical Technology) (64-65)
2006
- N.D. Botkin, K.-H. Hoffmann, O.A. Pykhteev, B.N. Starovoitova, V.L. Turova
Two complementary approaches to modelling a biosensor
Proceedings of ASM 2006 (Applied Simulation and Modelling), June 26-28, 2006, Rhodos, Greece (525-530) - A. Voigt, R. Backofen, N. Botkin, A. Goepfert, O. Pykhteev, B. Starovoitova, V. Turova, S. Vey, A. Zollorsch
VIOLA-TechSim
caesar Annual Report 2005 (Nanotechnogy/Materials Science 2_1_35) - K.-H. Hoffmann, V.L. Turova
Numerical simulation for microholography with short wave lengths
caesar Annual Report 2005 (Medical Technology 2_3_6)
2005
- N.D. Botkin, K.-H. Hoffmann, O.A. Pykhteev, V.L. Turova
Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids
Proceedings of the First International Conference on Modeling, Simulation and Applied Optimization, February 1-3, 2005, Sharjah, U.A.E. - N.D. Botkin, A.A. Melikyan, V.L. Turova
Modelling of disturbance propagation in anisotropic media using differential game methods
Proceedings of the 16th IFAC World Congress, July 3-8, 2005, Prague - N.D. Botkin, A.A. Melikyan, V.L. Turova
Singularity phenomena in ray propagation in anisotropic media
Proceedings of the International Conference ``Physics and Control'', August 24-26, 2005, St.-Petersburg (373-378) - A. Voigt, K.-H. Hoffmann, R. Backofen, N. Botkin, A.Goepfert, O.Pykhteev, V.Turova, S.Vey, A.Zollorsch
Viola
caesar Annual Report 2004 (Nanotechnology/Materials Science 2_1_30) - K.-H.Hoffmann, N.D.Botkin, O.A.Pykhteev, V.L.Turova
MAMS: Mathematical Modeling of a Biosensor
caesar Annual Report 2004 (Coupling of Biological and Electronic Systems 2_2_1)
2004
- V.S. Patsko, V.L. Turova
Families of semipermeable curves in differential games with the homicidal chauffeur dynamics
Automatica, Vol.40, No.12 (2059-2068) - N.D. Botkin, V.L. Turova
Mathematical models of a biosensor
Applied Mathematical Modelling, Vol. 28, No. 6 (573-589) - N.D. Botkin, K.-H. Hoffmann, O.A. Pykhteev, V.L. Turova
Numerical computation of dispersion relations for multi-layered anisotropic structures
Proceedings of the Nanotechnology conference and trade show, Boston, March 7-11, 2004 (401-414) - N.D. Botkin, A.A. Melikyan, V.L. Turova
Propagation of disturbances in inhomogeneous anisotropic media
Preprint N181, SFB611 ``Singuläre Phänomene und Skalierung in mathematischen Modellen'', Bonn (1-25) - N.D. Botkin, K.-H. Hoffmann, F. Otto, V.N. Starovoitov, V.L. Turova
Nonlinear interaction of piezoelectrically excited surface waves
Singular Phenomena und Skaling in mathematical Models. Reinsche Fridrich-Wilhelms-Universität Bonn. Sonderforschungsbereich 611, Arbeits- und Ergebnisbericht 2002-2004 (279-303) - K.-H. Hoffmann, N.D. Botkin, O.A. Pykhteev, V.L. Turova
MAMS: Mathematical Modeling of a Biosensor
caesar Annual Report 2003 (Coupling of Biological and Electronic Systems 2_2_2)
2003
- K.-H. Hoffmann, N.D. Botkin, V.N. Starovoitov, V.L. Turova
Treatment of the interface between fine elastic structures and fluids with homogenization method
Preprint N100, SFB611 ``Singuläre Phänomene und Skalierung in mathematischen Modellen'', Bonn (1-24) - N.D. Botkin, K.-H. Hoffmann, V.N. Starovoitov, V.L. Turova
Treatment of the interface between fine elastic structures and fluids
Proceedings of the International Conference ``Physics and Control'', August 20-22, 2003, St.-Petersburg (1367-1372) - N.D. Botkin, K.-H. Hoffmann, V.N. Starovoitov, V.L. Turova
Modeling the interaction between bristle elastic structures and fluids
Proceedings of the 6th International Conference on Modeling and Simulation of Microsystems, Vol. 1, San Francisco, February 23-27, 2003 (126-129) - N.D. Botkin, V.L. Turova
Finite element modelling of a biosensor
Preprint N110, SFB611 ``Singuläre Phänomene und Skalierung in mathematischen Modellen'', Bonn (1-19) - K.-H. Hoffmann, N.D. Botkin, V.N. Starovoitov, V.L. Turova
Mathematical modeling and simulation of the biosensor
caesar Annual Report 2002 (Coupling of Biological and Electronic Systems 2_2_2) - K.-H.Hoffmann, N.D.Botkin, V.L.Turova
Biosensor: Development of Numerical Methods and Software
caesar Annual Report 2002 (Coupling of Biological and Electronic Systems 2_2_3)
2002
- V.S. Patsko, V.L. Turova
Families of semipermeable curves in differential games with the homicidal chauffeur dynamics
Proceedings volume from the 5th IFAC Symposium, St. Petersburg, Russia, July 4-6, 2001), edited by A.L. Fradkov, A.B. Kurzhanskii, Vol. 3 (1523-1528) - L.V. Kamneva, V.S. Patsko, V.L. Turova
Construction of the value function for game brachistochrone problem
Proceedings of the 10th International Symposium on Dynamic Games and Applications, St. Petersburg, Russia, July 8-11, 2002, edited by L.A.Petrosjan and N.A.Zenkevich, Vol.I (408-415) - N.D. Botkin, V.L. Turova
Mathematical models of a biosensor
Preprint 2002-12-30 31. caesar, Bonn - K.-H. Hoffmann, N.D. Botkin, V.L. Turova
Biosensor: Modeling and Simulation
caesar Annual Report 2001 (Coupling of Biological and Electronic Systems 2_2_2)
2001
- V.S. Patsko, V.L. Turova
Level sets of the value function in differential games with the homicidal chauffeur dynamics
International Game Theory Review, Vol.3, No.1 (67-112) - V.S. Patsko, V.L. Turova
Semipermeable curves and level sets of the value function in differential games with the homicidal chauffeur dynamics
International Series of Numerical Mathematics (Optimal Control of Complex Structures), edited by K.-H. Hoffmann, I. Lasiecka, G. Leugering, J. Sprekels, F. Tröltzsch, Vol. 39, Birkhäuser (191-202) - V.S. Patsko, V.L. Turova
Homicidal chauffeur game. Computation of level sets of the value function
Advances in Dynamic Games and Applications (Annals of the International Society of Dynamic Games), edited by E. Altman, O. Pourtallier, Birkhäuser (295-322) - N.D. Botkin, M. Schlensog, M. Tewes, V.L. Turova
A mathematical model of a biosensor
Technical Proceedings of the Fourth International Conference on Modeling and Simulation of Microsystems, Hilton Head Island, South Caroline, March 19-21, 2001 (231-234) - K.-H. Hoffmann, N.D. Botkin, M. Tewes, M. Schlensog, V.L. Turova
Wave propagation in biosensors
caesar Annual Report 2000 (Nanotechnology/Materials Science 2_1_3)
Other years
- V.S. Patsko, V.L. Turova
Numerical study of differential games with the homicidal chauffeur dynamics
Preprint, Institute of Mathematics and Mechanics, Ekaterinburg , 2000 (1-58) - V.L. Averbukh, T.R. Ismagilov, V.S. Patsko, O.A. Pykhteev, V.L. Turova
Visualization of value function in time-optimal differential games
Proceedings of Algorithmy 2000, 15th Conference on Scientific Computing, Vysoke Tatry - Podbanske, Slovakia, September 10-15, 2000/ edited by A. Handlovicova, M. Komornikova, K. Mikula, D. Sevcovic , 2000 (207-216)
