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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…