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1

String method for generalized gradient flows: computation of rare events in reversible stochastic processes

Journal:

Journal of Statistical Mechanics Theory and Experiment

Year:

2019

Language:

english

File:

PDF, 1.39 MB

english, 2019

2

Numerical simulations of possible finite time singularities in the incompressible Euler equations: Comparison of numerical methods

Tobias Grafke, Holger Homann, Jürgen Dreher, Rainer Grauer

Journal:

Physica D: Nonlinear Phenomena

Year:

2008

Language:

english

File:

PDF, 1.08 MB

english, 2008

3

The instanton method and its numerical implementation in fluid mechanics

Grafke, Tobias, Grauer, Rainer, Schäfer, Tobias

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2015

Language:

english

File:

PDF, 1.86 MB

english, 2015

4

Numerical computation of rare events via large deviation theory

Grafke, Tobias, Vanden-Eijnden, Eric

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2019

Language:

english

File:

PDF, 2.62 MB

english, 2019

5

Instanton filtering for the stochastic Burgers equation

Grafke, Tobias, Grauer, Rainer, Schäfer, Tobias

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 302 KB

english, 2013

6

String method for generalized gradient flows: computation of rare events in reversible stochastic processes

Journal:

Journal of Statistical Mechanics Theory and Experiment

Year:

2019

File:

PDF, 1.39 MB

2019

7

Rogue waves and large deviations in deep sea

Dematteis, Giovanni, Grafke, Tobias, Vanden-Eijnden, Eric

Journal:

Proceedings of the National Academy of Sciences

Year:

2018

Language:

english

File:

PDF, 2.16 MB

english, 2018

8

Spatiotemporal Self-Organization of Fluctuating Bacterial Colonies

Grafke, Tobias, Cates, Michael E., Vanden-Eijnden, Eric

Journal:

Physical Review Letters

Year:

2017

Language:

english

File:

PDF, 397 KB

english, 2017

9

Large Deviations in Fast–Slow Systems

Bouchet, Freddy, Grafke, Tobias, Tangarife, Tomás, Vanden-Eijnden, Eric

Journal:

Journal of Statistical Physics

Year:

2016

Language:

english

File:

PDF, 898 KB

english, 2016

10

Extreme Event Quantification in Dynamical Systems with Random Components

Dematteis, Giovanni, Grafke, Tobias, Vanden-Eijnden, Eric

Journal:

SIAM/ASA Journal on Uncertainty Quantification

Year:

2019

File:

PDF, 1.03 MB

2019

11

Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold

Grafke, Tobias, Vanden-Eijnden, Eric

Journal:

Journal of Statistical Mechanics Theory and Experiment

Year:

2017

Language:

english

File:

PDF, 1.98 MB

english, 2017

12

Time irreversibility of the statistics of a single particle in compressible turbulence

Grafke, Tobias, Frishman, Anna, Falkovich, Gregory

Journal:

Physical Review E

Year:

2015

Language:

english

File:

PDF, 4.81 MB

english, 2015

13

Efficient Computation of Instantons for Multi-Dimensional Turbulent Flows with Large Scale Forcing

Grafke, Tobias, Grauer, Rainer, Schindel, Stephan

Journal:

Communications in Computational Physics

Year:

2015

Language:

english

File:

PDF, 1017 KB

english, 2015

14

Finite-time Euler singularities: A Lagrangian perspective

Grafke, Tobias, Grauer, Rainer

Journal:

Applied Mathematics Letters

Year:

2013

Language:

english

File:

PDF, 334 KB

english, 2013

15

Turbulence properties and global regularity of a modified Navier–Stokes equation

Grafke, Tobias, Grauer, Rainer, Sideris, Thomas C.

Journal:

Physica D: Nonlinear Phenomena

Year:

2013

Language:

english

File:

PDF, 527 KB

english, 2013

16

Lagrangian and Geometric Analysis of Finite-time Euler Singularities

Grafke, Tobias, Grauer, Rainer

Journal:

Year:

2013

Language:

english

File:

PDF, 1.65 MB

english, 2013

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