4 citations · 6 across the 19 of their papers we have counts for
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Convergence of a single-ensemble multilevel scheme for McKean-Vlasov SDEs
Arne Bouillon, Giovanni Samaey
Numerically solving McKean-Vlasov stochastic differential equations is computationally challenging due to the compounding costs of discretizing in time and in the distribution of t…
A semi-Lagrangian method for the polyatomic ESBGK model
Klaas Willems, Erik Arlemark, Giovanni Samaey +1
Polyatomic kinetic models are essential for accurately capturing the thermodynamic behavior of real gases, as internal energy modes significantly influence transport coefficients,…
Markov chain Monte Carlo for Bayesian inference of the non-conducting region in intra-atrial reentrant tachycardia
Maarten Volkaerts, Marie Cloet, Hans Dierckx +2
We present a Bayesian approach to estimate the parameters of mathematical models of cardiac electrophysiology with quantified uncertainty. Such models capture the dynamics of the e…
Analysis of kinetic-diffusion Monte Carlo simulation and source term estimation scheme in nuclear fusion applications
Zhirui Tang, Julian Koellermeier, Emil Løvbak +1
In plasma edge simulations, the behavior of neutral particles is often described by a Boltzmann--BGK equation. Solving this kinetic equation and estimating the moments of its solut…
A meshless MUSCL method for the BGK-Boltzmann equation
Klaas Willems, Axel Klar, Giovanni Russo +2
We present a numerical method for simulating rarefied gases that interact with moving boundaries and rigid bodies. The gas is described by the BGK equation in Lagrangian form and s…
Fluid boundary conditions in kinetic-diffusion Monte Carlo
Thijs Steel, Vince Maes, Giovanni Samaey
The Kinetic-Diffusion Monte Carlo (KDMC) method is a powerful tool for simulating neutral particles in fusion reactors. It is a hybrid fluid-kinetic method that is significantly fa…
A noise-robust Monte Carlo method for electric field calculations in EMC3
William De Deyn, Ruben De Wolf, Vince Maes +1
EMC3 is a state-of-the-art 3D Monte Carlo code for plasma edge transport in stellarator configurations, but it does not yet treat the drift self-consistently. Computin…
A localized consensus-based sampling algorithm
Arne Bouillon, Alexander Bodard, Panagiotis Patrinos +2
We propose a localized consensus-based method for sampling from non-Gaussian distributions, a task that frequently arises when solving Bayesian inverse problems. Our method arises…
A Moment-Based Shallow Water Model for Coupled Bedload-Suspended Load Transport with Variable Density: Hyperbolicity and Numerical Validation
Afroja Parvin, Giovanni Samaey, Julian Koellermeier
In this paper, we develop a Hyperbolic Shallow Water Exner Moment model with Erosion and Deposition (HSWEMED), which extends the recent shallow water moment framework to capture co…
Higher-order meshless schemes for hyperbolic equations
Klaas Willems, Giovanni Samaey, Axel Klar
We discuss the order, efficiency, stability and positivity of several meshless schemes for linear scalar hyperbolic equations. Meshless schemes are Generalised Finite Difference Me…
Efficient parallel inversion of ParaOpt preconditioners
Corentin Bonte, Arne Bouillon, Giovanni Samaey +1
Recently, the ParaOpt algorithm was proposed as an extension of the time-parallel Parareal method to optimal control. ParaOpt uses quasi-Newton steps that each require solving a sy…
Single-ensemble multilevel Monte Carlo for discrete ensemble Kalman methods
Arne Bouillon, Toon Ingelaere, Giovanni Samaey
Ensemble Kalman methods solve problems in domains such as filtering and inverse problems with interacting particles that evolve over time. For computationally expensive problems, t…