73 citations · 225 across the 39 of their papers we have counts for
45 papers
Diagonalization-based preconditioners and generalized convergence bounds for ParaOpt
Arne Bouillon, Giovanni Samaey, Karl Meerbergen
The ParaOpt algorithm was recently introduced as a time-parallel solver for optimal-control problems with a terminal-cost objective, and convergence results have been presented for…
Pseudo-Marginal Approximation to the Free Energy in a Micro-Macro Markov Chain Monte Carlo Method
Hannes Vandecasteele, Giovanni Samaey
We introduce a generalised micro-macro Markov chain Monte Carlo (mM-MCMC) method with pseudo-marginal approximation to the free energy, that is able to accelerate sampling of the m…
On generalized preconditioners for time-parallel parabolic optimal control
Arne Bouillon, Giovanni Samaey, Karl Meerbergen
The ParaDiag family of algorithms solves differential equations by using preconditioners that can be inverted in parallel through diagonalization. In the context of optimal control…
Hilbert expansion based fluid models for kinetic equations describing neutral particles in the plasma edge of a fusion device
Vince Maes, Wouter Dekeyser, Julian Koellermeier +2
Neutral particles in the plasma edge of fusion devices based on magnetic confinement are described by a transient kinetic equation incorporating ionization, recombination, and char…
Reversible random number generation for adjoint Monte Carlo simulation of the heat equation
Emil Løvbak, Frédéric Blondeel, Adam Lee +3
In PDE-constrained optimization, one aims to find design parameters that minimize some objective, subject to the satisfaction of a partial differential equation. A major challenges…
Projective Integration Methods in the Runge-Kutta Framework and the Extension to Adaptivity in Time
Julian Koellermeier, Giovanni Samaey
Projective Integration methods are explicit time integration schemes for stiff ODEs with large spectral gaps. In this paper, we show that all existing Projective Integration method…