4 citations · 6 across the 19 of their papers we have counts for
21 papers
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 kinetic-diffusion Monte Carlo-based particle-level fluid-kinetic decomposition for neutral transport simulations
Zhirui Tang, Niels Horsten, Giovanni Samaey
Neutrals in the plasma edge are commonly modeled by kinetic equations, with quantities of interest given by macroscopic quantities such as density, velocity, and temperature. In re…
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,…
Water-at-Rest Equilibrium Stability Analysis of a first-moment Shallow Water Exner Moment Model with Sediment Entrainment and Deposition: Extended Technical Report
Afroja Parvin, Giovanni Samaey, Julian Koellermeier
We derive the first-moment Shallow Water Exner Moment model with sediment entrainment and deposition (SWEMED1) and show that the full source term has a fully-settled water-at-rest…
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…
Mean-Field Model for Two-Layer Neural Networks Trained with Consensus-Based Optimization
William De Deyn, Michael Herty, Giovanni Samaey
We study Consensus-Based Optimization (CBO) for two-layer neural network training. We compare the performance of CBO against Adam on two test cases and demonstrate how a hybrid app…
Numerical analysis of fluid estimation for source terms in neutral particles simulation
Zhirui Tang, Emil Løvbak, Julian Koellermeier +1
In plasma edge simulations, kinetic Monte Carlo (MC) is often used to simulate neutral particles and estimate source terms. For large-sized reactors, like ITER and DEMO, high parti…
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…
2D implementation of Kinetic-diffusion Monte Carlo in Eiron
Oskar Lappi, Emil Løvbak, Thijs Steel +1
Particle-based kinetic Monte Carlo simulations of neutral particles is one of the major computational bottlenecks in tokamak scrape-off layer simulations. This computational cost c…
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…
Kinetic-Diffusion-Rotation Algorithm for Dose Estimation in Electron Beam Therapy
Klaas Willems, Vince Maes, Zhirui Tang +1
Monte Carlo methods are state-of-the-art when it comes to dosimetric computations in radiotherapy. However, the execution time of these methods suffers in high-collisional regimes.…
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…
Predicting the statistical error of analog particle tracing Monte Carlo
Vince Maes, Ignace Bossuyt, Hannes Vandecasteele +4
Large particle systems are often described by high-dimensional (linear) kinetic equations that are simulated using Monte Carlo methods for which the asymptotic convergence rate is…
Cell Escape Probabilities for Markov Processes on a Grid
Toon Ingelaere, Vince Maes, Giovanni Samaey
Kinetic equations describe physical processes in a high-dimensional phase space and are often simulated using Markov process-based Monte Carlo routines. The quantities of interest…
Coarse-grained analysis of a lattice Boltzmann model for planar streamer fronts
Wim Vanroose, Giovanni Samaey, Pieter Van Leemput
We study the traveling wave solutions of a lattice Boltzmann model for the planar streamer fronts that appear in the transport of electrons through a gas in a strong electrical fie…