Tobias Grafke
Tobias Grafke
Warwick Mathematics Institute, University of Warwick
Verified email at warwick.ac.uk
Title
Cited by
Cited by
Year
The instanton method and its numerical implementation in fluid mechanics
T Grafke, R Grauer, T Schäfer
Journal of Physics A: Mathematical and Theoretical 48 (33), 333001, 2015
562015
Numerical simulations of possible finite time singularities in the incompressible Euler equations: comparison of numerical methods
T Grafke, H Homann, J Dreher, R Grauer
Physica D: Nonlinear Phenomena 237 (14-17), 1932-1936, 2008
542008
Rogue waves and large deviations in deep sea
G Dematteis, T Grafke, E Vanden-Eijnden
Proceedings of the National Academy of Sciences 115 (5), 855-860, 2018
342018
Large deviations in fast–slow systems
F Bouchet, T Grafke, T Tangarife, E Vanden-Eijnden
Journal of Statistical Physics 162 (4), 793-812, 2016
322016
Instanton filtering for the stochastic Burgers equation
T Grafke, R Grauer, T Schäfer
Journal of Physics A: Mathematical and Theoretical 46 (6), 062002, 2013
262013
Arclength parametrized Hamilton's equations for the calculation of instantons
T Grafke, R Grauer, T Schäfer, E Vanden-Eijnden
Multiscale Modeling & Simulation 12 (2), 566-580, 2014
192014
Relevance of instantons in Burgers turbulence
T Grafke, R Grauer, T Schäfer, E Vanden-Eijnden
Europhysics Letters 109, 34003, 2015
182015
Numerical computation of rare events via large deviation theory
T Grafke, E Vanden-Eijnden
Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (6), 063118, 2019
142019
Long term effects of small random perturbations on dynamical systems: Theoretical and computational tools
T Grafke, T Schäfer, E Vanden-Eijnden
Recent Progress and Modern Challenges in Applied Mathematics, Modeling and …, 2017
142017
Experimental evidence of hydrodynamic instantons: the universal route to rogue waves
G Dematteis, T Grafke, M Onorato, E Vanden-Eijnden
Physical Review X 9 (4), 041057, 2019
122019
Spatiotemporal self-organization of fluctuating bacterial colonies
T Grafke, ME Cates, E Vanden-Eijnden
Physical review letters 119 (18), 188003, 2017
112017
Efficient computation of instantons for multi-dimensional turbulent flows with large scale forcing
T Grafke, R Grauer, S Schindel
Communications in Computational Physics 18 (3), 577-592, 2015
92015
Time-irreversibility of the statistics of a single particle in a compressible turbulence
T Grafke, A Frishman, G Falkovich
Phys. Rev. E 91 91, 043022, 2015
82015
Finite-time Euler singularities: a Lagrangian perspective
T Grafke, R Grauer
Applied Mathematics Letters 26 (4), 500-505, 2013
82013
Lagrangian and geometric analysis of finite-time Euler singularities
T Grafke, R Grauer
Procedia IUTAM 9, 32-56, 2013
82013
Extreme event quantification in dynamical systems with random components
G Dematteis, T Grafke, E Vanden-Eijnden
SIAM/ASA Journal on Uncertainty Quantification 7 (3), 1029-1059, 2019
62019
Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold
T Grafke, E Vanden-Eijnden
Journal of Statistical Mechanics: Theory and Experiment 2017 (9), 093208, 2017
62017
Turbulence properties and global regularity of a modified Navier–Stokes equation
T Grafke, R Grauer, TC Sideris
Physica D: Nonlinear Phenomena 254, 18-23, 2013
42013
String method for generalized gradient flows: Computation of rare events in reversible stochastic processes
T Grafke
Journal of Statistical Mechanics: Theory and Experiment 2019 (4), 043206, 2019
12019
Long-lasting effects of small random perturbations on dynamical systems: theoretical and computational tools
T Grafke, T Schäfer, E Vanden-Eijnden
arXiv preprint arXiv:1604.03818, 2016
12016
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Articles 1–20