3 citations · 7 across the 10 of their papers we have counts for
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A discontinuous Galerkin approximation of the Dean--Kawasaki equation
Kamran Arora, Federico Cornalba, Tony Shardlow
We introduce and analyse an arbitrary order spatial discontinuous Galerkin (dG) method for the Dean--Kawasaki equation, a highly singular SPDE modelling density fluctuations of …
Hadamard Langevin dynamics for sampling the l1-prior
Ivan Cheltsov, Federico Cornalba, Clarice Poon +1
Priors with non-smooth log-densities, such as the l1-prior, are widely used in Bayesian inverse problems for their sparsity-inducing properties. Existing Langevin-based sampling me…
Multilevel Monte Carlo methods for the Dean-Kawasaki equation from Fluctuating Hydrodynamics
Federico Cornalba, Julian Fischer
Stochastic PDEs of Fluctuating Hydrodynamics are a powerful tool for the description of fluctuations in many-particle systems. In this paper, we develop and analyze a Multilevel Mo…
The Regularised Inertial Dean-Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime
Federico Cornalba, Tony Shardlow
The Regularised Inertial Dean-Kawasaki model (RIDK) -- introduced by the authors and J. Zimmer in earlier works -- is a nonlinear stochastic PDE capturing fluctuations around the m…