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Dr Tobias Grafke


  Tobias Grafke

Tobias Grafke

Assistant Professor

Office: C2.29
Phone: +44 (0)24 765 74309
Email: T dot Grafke at warwick dot ac dot uk


Teaching Responsibilities 2019/20:

Terms 1+2: MA4K8 Maths-in-Action and MA4K9 Research Project

Term 2: MA124 Maths by Computer

Research Interests:

My research focuses on the development of numerical methods and mathematical tools to analyse stochastic systems. Applications include fluid dynamics and turbulence, atmosphere and ocean dynamics, and biological and chemical systems. My work concentrates on the prediction of pathways and rates of occurrence of rare and extreme events in realistic complex systems, to develop numerical methods for their simulation, and to quantify the effects of random perturbations on the system's long term behavior.

Keywords: Applied and computational mathematics - Rare events, fluid dynamics and turbulence, large deviation theory, metastability, non-equilibrium statistical mechanics, active matter

Most relevant recent publications:
For an up-to-date list of all publications, see my Personal Homepage

  • G. Dematteis, T. Grafke, E. Vanden-Eijnden, "Rogue waves and large deviations in deep sea", PNAS, 115 (5) 855-860, 2018, (link)
  • T. Grafke, M. Cates, and E. Vanden-Eijnden, "Spatiotemporal Self-Organization of Fluctuating Bacterial Colonies", Phys. Rev. Lett. 119 (2017), 188003 (link)
  • T. Grafke, T. Schäfer, and E. Vanden-Eijnden, "Long Term Effects of Small Random Perturbations on Dynamical Systems: Theoretical and Computational Tools", Fields Institute Communications, In: Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science (Springer, New York, NY, 2017) (link)
  • F. Bouchet, T. Grafke, T. Tangarife, and E. Vanden-Eijnden, "Large Deviations in Fast-Slow Systems", J. Stat. Phys. 162 (2016), 793 (link)
  • T. Grafke, R. Grauer, and T. Schäfer, "The Instanton Method and its Numerical Implementation in Fluid Mechanics", J. Phys. A: Math. Theor. 48 (2015), 333001 (link)
  • T. Grafke, A. Frishman, and G. Falkovich, "Time-irreversibility of the statistics of a single particle in a compressible turbulence", Phys. Rev. E 91 (2015), 043022 (link)
  • T. Grafke, R. Grauer and T. Schaefer, "Instanton filtering for the stochastic Burgers equation", J. Phys. A 46 (2013), 62002 (link)
  • T. Grafke, H. Homann, J. Dreher and R. Grauer, "Numerical simulations of possible finite time singularities in the incompressible Euler equations: comparison of numerical methods", Physica D 237 (2008), 1932 (link)

Personal Homepage: