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Tobias Grafke
Tobias Grafke
Warwick Mathematics Institute, University of Warwick
Adresse e-mail validée de warwick.ac.uk
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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
1212015
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
1172018
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
1132019
Numerical computation of rare events via large deviation theory
T Grafke, E Vanden-Eijnden
Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (6), 2019
1022019
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
622008
Large deviations in fast–slow systems
F Bouchet, T Grafke, T Tangarife, E Vanden-Eijnden
Journal of Statistical Physics 162, 793-812, 2016
482016
Instanton filtering for the stochastic Burgers equation
T Grafke, R Grauer, T Schäfer
Journal of Physics A: Mathematical and Theoretical 46 (6), 062002, 2013
472013
Spatiotemporal self-organization of fluctuating bacterial colonies
T Grafke, ME Cates, E Vanden-Eijnden
Physical review letters 119 (18), 188003, 2017
392017
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
372017
Dynamical landscape and multistability of a climate model
G Margazoglou, T Grafke, A Laio, V Lucarini
Proceedings of the Royal Society A 477 (2250), 20210019, 2021
352021
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
312019
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
302014
Relevance of instantons in Burgers turbulence
T Grafke, R Grauer, T Schäfer, E Vanden-Eijnden
Europhysics Letters 109, 34003, 2015
282015
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
192015
Spontaneous symmetry breaking for extreme vorticity and strain in the three-dimensional Navier–Stokes equations
T Schorlepp, T Grafke, S May, R Grauer
Philosophical Transactions of the Royal Society A 380 (2226), 20210051, 2022
172022
Gel’fand–Yaglom type equations for calculating fluctuations around instantons in stochastic systems
T Schorlepp, T Grafke, R Grauer
Journal of Physics A: Mathematical and Theoretical 54 (23), 235003, 2021
152021
Sharp asymptotic estimates for expectations, probabilities, and mean first passage times in stochastic systems with small noise
T Grafke, T Schäfer, E Vanden‐Eijnden
Communications on Pure and Applied Mathematics 77 (4), 2268-2330, 2024
142024
Instantons for rare events in heavy-tailed distributions
M Alqahtani, T Grafke
Journal of Physics A: Mathematical and Theoretical 54 (17), 175001, 2021
142021
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
122017
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
112015
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