Staff Profile

Dr Tanya Tarnopolskaya   Principal Research Scientist Applied Mathematician CMIS, Sydney

Contact Details

CSIRO Mathematics Informatics and Statistics
Location: Life Sciences Building, 11 Julius Avenue, North Ryde
Mail: Locked Bag 17, North Ryde, NSW 1670, Australia
E-mail: Tanya.Tarnopolskaya@csiro.au
Telephone: +61 2 9325 3254
Fax: +61 2 9325 3200

Professional Interests

• Mathematical modelling and analysis
• Computational mathematics
• Mathematical Control Theory
• Financial mathematics
• Real Options
• Quantitative Risk
• Portfolio optimisation
• Collision avoidance strategies
• Industrial mathematics
• Cold rolling of steel
• Shell vibrations

Professional Memberships

• Australian Mathematical Society
• ANZIAM

Professional Qualifications

• M.Sc.
• Ph.D.

Refereed Publications since 1996

• Tarnopolskaya, T., Fulton, N., and Maurer, H. (2012) Synthesis of optimal bang-bang control for cooperative
  collision avoidance for aircraft (ships) with unequal linear speeds, J Optimization Theory and Applications, DOI:
  10.1007/s10957-012-0049-y.
   
• Maurer, H., Tarnopolskaya T., and Fulton N. (2012) Optimal Bang-Bang and Singular Controls in Collision
  Avoidance for Participants with Unequal Linear Speeds, 51st IEEE Conference on Decision and Control (CDC
  2012), accepted.
   
• Tarnopolskaya, T., and de Hoog, F.R. (2012) Practical insight through perturbation analysis, ANZIAM J., 53,
  C296-C311, (based on a Keynote Address at EMAC 2011).
   
• Gaitsgory, V., and Tarnopolskaya T. (2012)Threshold value of the penalty parameter in the minimization of
  L1-penalized Conditional Value-at-Risk, Journal of Industrial and Management Optimization, accepted.
   
• Maurer, H., Tarnopolskaya, T., and Fulton, N. (2012) Singular controls in optimal collision avoidance for
  participants with unequal linear speeds, ANZIAM J., vol. 53 (EMAC2011), pp. C1-C18.
   
• Tarnopolskaya, T., and Fulton, N. (2011) Synthesis of optimal control for cooperative collision avoidance
  in a close proximity encounter: special cases,  Proceedings of The 18th International Federation of Automatic
  Control (IFAC) World Congress, Milano (Italy), August 28-September 2, 2011, vol. 18(1), pp. 9775-9781.
   
• Tarnopolskaya, T., and Zhu, Z. (2011) CVaR-minimising hedging by a smoothing method, ANZIAM J., vol.
  52 (CTAC2010), pp. C237-C256.
   
• Tarnopolskaya, T., and  Fulton, N. (2010) Non-unique optimal collision avoidance strategies for coplanar
  encounter of participants with unequal turn capabilities, IAENG International Journal of Applied Mathematics,
  40(4), 289-296.
   
• Tarnopolskaya, T., and  Fulton, N. (2010) Dispersal curves for optimal collision avoidance in a close
  proximity encounter: a case of participants with unequal turn rates, Lecture Notes in Engineering and
  Computer Science 2185(1), 1789-1794 (also in: Proceedings of The World Congress on Engineering 2010, WCE
  2010, 30 June - 2 July, 2010, London, U.K.).
  
  This paper has been awarded with the Certificate of Merit for The 2010 International Conference of Applied and
  Engineering Mathematics, London, UK.
   
• Tarnopolskaya, T., and  Fulton, N. (2010) Synthesis of optimal control for collision avoidance of aircraft
  (ships) with unequal turn capabilities, J Optimization Theory and Applications, 144(2), 367-390.
   
• Tarnopolskaya, T., J. Tabak and F.R. de Hoog  (2009) L-curve for hedging instrument selection in CVaR-
  minimising portfolio hedging. In Anderssen, R.S. et al. (eds) 18th World IMACS Congress and MODSIM09
  International Congress on Modelling and Simulation, July 2009, pp. 1559-1565.
   
• Tarnopolskaya, T. and N. Fulton (2009) Parametric behaviour of the optimal control solution for collision
  avoidance in a close proximity encounter. In Anderssen, R.S. et al. (eds) 18th World IMACS Congress and
  MODSIM09 International Congress on Modelling and Simulation, July 2009, pp. 425-431.
   
• Tarnopolskaya, T., and  Fulton, N. (2009) Optimal cooperative collision avoidance strategy for coplanar
  encounter: Merz's solution revisited, J Optimization Theory and Applications, 140(2), 355-375.
   

• Tarnopolskaya, T., and Zhu, Z. (2009) A robust hedging strategy via CVaR minimization, First Chinese Forum
  on Intelligent Finance (CFIF-I 2009), Beijing, February 2009.
   

• Gates, D.J., and Tarnopolskaya, T. (2008)  Linear theory for lateral displacements of a metal strip in a
  tandem cold rolling mill with asymmetries, J Mechanical Engineering Science, vol. 222 (7), 1131-1148.
   
• Tarnopolskaya, T., and  Gates, D. (2008) Analysis of the effect of strip buckling on stability of strip lateral
  motion with application to cold rolling of steel, J Dynamic Systems, Meas. and Control, 130(1), 011001-1-7.
   
• Tarnopolskaya, T., Gates, D., de Hoog, F.R. and Yuen, W.  (2005) Instability in lateral dynamics of a metal
  strip in cold rolling, ANZIAM J, 46(E),  987-1000.
   
• Tarnopolskaya, T., and  Yuen, W. (2005) Analysis of the effect of tension at the entry of cold rolling mill
  on the stability of strip tracking, ISIJ International,  45 (9), 1316-1321.
   
• Tarnopolskaya, T., Yuen, W., Gates, D., and  de Hoog, F.R. (2005) Web lateral dynamics with buckling in
  sheet metal rolling, Proceedings of the 8th International Conference on Web Handling, Oklahoma State University
  Stillwater, OK, USA, Paper No. 102005.
   
• Tarnopolskaya, T., Gates, D., de Hoog, F.R.,  Yuen, W. and Dixon, A. (2004) Numerical analysis of lateral
  movement of a metal strip during cold rolling, ANZIAM J, 45(E),  173-186.
   
• Tarnopolskaya, T., de Hoog, F.R., Gates, D., Dixon, A., and Yuen, W. (2002) Analysis of strip track-off
  during flat rolling, Proceedings of the 8th International Rolling Conference,  Florida, USA, Volume XL, 237-246.
   
• Fletcher, N.H., Tarnopolskaya, T., and de Hoog, F.R. (2001) Wave propagation on helices and hyperhelices:
  a fractal regression.  Proceedings of the Royal Society of London Series A: Mathematical, Physical & Engineering
  Sciences, vol. 457 (2005), 33-43.
   
• Tarnopolskaya, T., and  de Hoog, F.R. (2000) Buckley-Leverett type approximation for dewatering by
  vacuum suction, Proceedings of the Fourth Biennial Engineering Mathematics and Applications Conference, Eds.
  R.L.May, G.F.Fitz-Gerald and I.H.Grundy, 275-277.
   
• Tarnopolskaya, T., de Hoog, F.R. (2000) Asymptotic approximations for vibrational modes of helices. 
  ANZIAM J., 42(E), 1398-1419.
   
• Tarnopolskaya, T., de Hoog, F.R., Tarnopolsky, A. and Fletcher, N.H. (1999) Vibration of beams and helices
  with arbitrarily large uniform curvature. J Sound and Vibration, 228(2), 305-338.
   
• Tarnopolskaya, T., de Hoog, F.R. and Fletcher, N.H. (1999) Low-frequency mode transition in the free in-
  plane vibration of curved beams. J Sound and Vibration, 228(1), 69-90.
   
• Tarnopolskaya, T., Burwood, R., Cordeiro, D. and Jiang, C. (1999) Modelling of water removal by vacuum
  suction. APPITA Journal, 52(4),275-282.
   
• Tarnopolskaya, T., and de Hoog, F.R. (1998) An efficient method for strip flatness analysis in cold rolling.
  J  Mathematical Engineering in Industry, 7(1), 71-95.
   
• Tarnopolskaya, T. (1998) Degenerate bending modes and low-frequency transformation of modes in
  vibration of open cylindrical shells. Proceedings of Engineering Mathematics and Applications Conference: EMAC98,
  483-486.
   
• Tarnopolskaya, T., and de Hoog, F.R. (1998) An efficient algorithm for strip flatness analysis in cold rolling.
  Computational Techniques and Applications: CTAC97, Edts. J.Noye, M. Teubner and A. Gill, Singapore: World
  Scientific,  687-694.
   
• Howlett, P., Pudney, P., Tarnopolskaya, T., and Gates, D. (1997) Optimal driving strategy for a solar car on
  a level road. IMA J. Math. Appl. Bus. Indust. 8(1), 59-81.
   
• Tarnopolskaya, T., de Hoog, F.R., Fletcher, N.H. and Thwaites, S. (1996) Asymptotic analysis of the free in-
  plane vibrations of beams with arbitrary varying curvature and cross-section. J Sound and Vibration, 196, 659-
  680.
   
• Tarnopolskaya, T., and de Hoog F.R. (1996) An approximation for natural frequencies of open cylindrical
  shells having circumferentially varying thickness. Proceedings of 2nd Australian Engineering Mathematics
  Conference, 343-350.
   
• Tarnopolskaya, T., and de Hoog, F.R. (1996) Asymptotic solution of the problem of free extensional
  vibrations of curved beams and open cylindrical shells. Computational Techniques and Applications Conference:
  CTAC95, 7, 749-756.
  

To top