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8 papers · 1 filter
Stable approximation of the advection-diffusion equation using the invariant measure
Claude Le Bris, Frederic Legoll, Francois Madiot
We consider an advection-diffusion equation that is both non-coercive and advection-dominated. We present a possible numerical approach, to our best knowledge new, and based on the…
Convergence and Cycling in Walker-type Saddle Search Algorithms
Antoine Levitt, Christoph Ortner
Algorithms for computing local minima of smooth objective functions enjoy a mature theory as well as robust and efficient implementations. By comparison, the theory and practice of…
Size consistency in Smoothed Dissipative Particle Dynamics
G. Faure, J. Roussel, J. -B. Maillet +1
Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic method which allows to select the level of resolution at which a fluid is simulated. In this work, we study the consis…
Nonlinear argumental oscillators: Stability criterion and attractor's capture probability
Daniel Cintra, Pierre Argoul
The behaviour of a space-modulated, so-called "argumental" oscillator is studied, which is represented by a model having an even-parity space-modulating function. Analytic expressi…
An accurate scheme to solve cluster dynamics equations using a Fokker-Planck approach
Thomas Jourdan, Gabriel Stoltz, Frédéric Legoll +1
We present a numerical method to accurately simulate particle size distributions within the formalism of rate equation cluster dynamics. This method is based on a discretization of…
Prediction of Infinite Words with Automata
Tim Smith
In the classic problem of sequence prediction, a predictor receives a sequence of values from an emitter and tries to guess the next value before it appears. The predictor masters…