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Technische Universität München
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Curriculum Vitae

Publications

2014

 

2013

 

2012

 

2011

 

2010

  • A.E.Kovtanyuk, N.D.Botkin, K.-H.Hoffmann
    Numerical simulations of a coupled conductive-radiative heat transfer model using parallel computing
    Priority programm 1253 "Optimization with Partial Differential Equations", 2010 (November), Preprint-Number: SPP1253-112 (1-13)
  • A.Frackowiak, N.D.Botkin, M.Cialkowski, K.-H.Hoffmann
    A fitting algorithm for solving inverse problems of heat conduction 
    International Journal of Heat and Mass Transfer, 53 (2123-2127)
  • 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)
  • N.D.Botkin, K.-H.Hoffmann
    Optimal control in cryopreservation of living cells
    Proceedings of the International Conference "Actual Problems of Stability and Control Theory" (APSCT´2009), Vol. 16(5), Russia, September 22-26 (233-240)

 

2009

  • N.D.Botkin, K.-H.Hoffmann
    Control design in cryopreservation of living cells
    Abstracts of the International Conference "Actual Problems of Stability and Control Theory", Ekaterinburg, Russia, September 21-26 (158-159)
  • T.G.Amler, N.D.Botkin, K.-H.Hoffmann, A.M.Meirmanov, V.N.Starovoitov
    Transport equation with boundary conditions of hysteresis type 
    Mathematical Methods in the Applied Sciences, 32 (2177-2196)
  • 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)
  • K.-H.Hoffmann, N.D.Botkin
    Modeling and optimization in cryopreservation using phase field models
    Abstracts of the 4th International Conference on High Performance Scientific Computing, Hanoi, Vietnam, March 2-6 (88)
  • N.D.Botkin, K.-H.Hoffmann, A.Frackowiak, A.M.Cialkowski
    Heat exchange between air and solid surface covered with a nanostructure
    submitted to International Journal of Heat and Mass Transfer

 

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, Russia, June 16-22 (254-255)
  • 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 (32)
  • N.D.Botkin, K.-H.Hoffmann, A.Frackowiak, A.M.Cialkowski
    Study of the heat transfer between gases and solid surfaces covered with micro rods
    Preprint SPP1253-10-05, Priority programm 1253 (1-13)
  • N.D.Botkin, K.-H.Hoffmann, A.Frackowiak, A.M.Cialkowski
    L^2 and H^(1/2) fitting algorithmus for solving inverse problems of heat transfer
    Preprint SPP1253-10-06, Priority programm 1253 (1-10)
  • N.D.Botkin, K.-H.Hoffmann
    Optimal control in cryopreservation of cells and tissues
    Preprint SPP1253-10-07, Priority programm 1253 (1-34)

 

2007

 

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), Rhodos, Greece, June 26-28 (525-530)
  • N.D.Botkin, A.M.Khludnev, K.-H.Hoffmann
    The variational contact problem for elastic objects of different dimensions 
    Siberian Mathematical Journal, 47(3) (584-593)
  • H.Hölscher, N.D.Botkin, M.Tewes, M.Löhndorf, K.-H.Hoffmann, E.Quandt
    Modeling of pneumatic tires by a finite element model for the development a tire friction remote sensor
    Computers and Structures (submitted)
  • K.-H.Hoffmann, V.L.Turova
    Numerical simulation for microholography with short wave lengths
    caesar Annual Report 2005 (Medical Technology 2_3_6) (1-2)
  • K.-H.Hoffmann, N.D.Botkin, O.A.Pykhteev
    Optimization of cooling protocols in cryopreservation of living tissues
    caesar Annual Report 2005 (Biotechnology 2_2_5) (1-2)
  • K.-H.Hoffmann, N.D.Botkin, O.A.Pykhteev
    Finite element modelling of a microfluidic reaktor
    caesar Annual Report 2005 (Nanotechnology/Materials Science 2_1_28) (1-2)
  • K.-H. Hoffmann, N.D. Botkin, O.A. Pykhteev
    Orthodontic film composites-superelastic composite material
    caesar Annual Report 2005 (Nanotechnology/Materials Science 2_1_12) (1-2)
  • D.Hoffmann, M.Moske, K.-H.Hoffmann, M.Giersig, R.Pascal, N.Botkin, V.Starovoitov, M.Hilgendorff, G.Treitz, M.Zabe-Kühn, B.Fassbender
    ELOBIS- Elasto-optical biosensor based on nanostructures
    caesar Annual Report 2005 (Biotechnology 2_2_1) (1-2)

 

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, Sharjah, U.A.E., February 1-3
  • N.D.Botkin, K.-H.Hoffmann, V.N.Starovoitov
    Homogenization of interfaces between rapidly oscillating fine elastic structures and fluids 
    SIAM J. Appl. Math., 65(3) (983-1005)
  • N.D.Botkin, K.-H.Hoffmann, A.M.Meirmanov, V.N.Starovoitov
    Description of adhering with saturation using boundary conditions of hysteresis type 
    Nonlinear Analysis, 63(5-7) (1467-1473)
  • 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) (1-2)
  • 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) (1-2)

 

2004

  • 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, USA, March 7-11 (401-414)
  • H.Hölscher, N.Botkin, M.Tewes, M.Löhndorf, K.-H.Hoffmann, E.Quandt
    Modelling of pneumatic tires by a finite element model for the developement of a tire friction remote sensor
    Preprint 2004-10-28 40. caesar, Bonn (1-17)
  • N.D.Botkin, K.-H.Hoffmann, F.Otto, V.N.Starovoitov, V.L.Turova
    Nonlinear interaction of piezoelectrically excited surface waves
    Singuläre Phänomene und Skalierung in mathematischen Modellen. 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) (1-2)

 

Other years

  • 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, 2003 (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'', St.-Petersburg, Russia, August 20-22, 2003 (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, K.-H.Hoffmann, A.M.Meirmanov, V.N.Starovoitov
    Diffusion problem with boundary conditions of hysteresis type
    Preprint N111, SFB611 "Singuläre Phänomene und Skalierung in mathematischen Modellen'', Bonn, 2003 (1-15)
  • 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), 2003 (1-2)
  • 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), 2003 (1-2)
  • N.D.Botkin, K.-H.Hoffmann
    Fully coupled model of a nonlinear thin plate excited by piezoelectric actuators 
    Optimal control of complex structures (Oberwolfach, 2000), Internat. Ser. Numer. Math., Vol. 139, Birkhäuser, Basel, 2002 (107-118)
  • N.D.Botkin, K.-H.Hoffmann, V.N.Starovoitov
    Homogenization of interfaces between rapidly oscillating fine elastic structures and fluids
    Preprint 2002-12-30 30. caesar, Bonn, 2002
  • 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), 2002 (1-2)
  • N.D.Botkin, K.-H.Hoffmann
    Real-time optimization and stabilization of distributed parameter systems with piezoelectric elements 
    Online Optimization of Large Scale Systems, Springer, Berlin, Heidelberg, 2001 (205-228)
  • N.D.Botkin, K.-H.Hoffmann
    A fully coupled model of a nonlinear thin plate excited by piezoelectric actuators 
    Smart materials. Proceedings of the first caesarium, Bonn, Nov. 17-19, 1999, Springer, 2001 (9-22 )
  • 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), 2001 (1-2)
  • N.D.Botkin, K.-H.Hoffmann
    Homogenization of von Kármán plates excited by piezoelectric patches 
    ZAMM, 80(9), 2000 (579-590)
  • N.D.Botkin, A.O.Govorov, A.V.Kalameitsev, M.Rotter, A.Wixforth, J.Kotthaus, K.-H.Hoffmann
    Nonlinear acoustoelectrictransport in a two-dimensional electron system 
    Physical Review B, 62(4), 2000 (2659-2668)
  • N.D.Botkin, K.-H.Hoffmann
    Homogenization of a fully coupled model for a nonlinear thin plate excited by piezoelectric transducers
    Preprint 00-23, DFG-Project "Echtzeit-Optimierung großer Systeme'', 2000 (1-11)
  • N.D.Botkin, K.-H.Hoffmann
    A fully coupled model of a nonlinear thin plate excited by piezoelectric actuators
    Preprint 00-25, DFG-Project "Echtzeit-Optimierung großer Systeme'', 2000 (1-13)

 

 

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