4 papers · 1 filter
Structure-Preserving Dynamical Low-Rank Approximations for Stochastic Vlasov--Poisson Equations
Jianbo Cui, Carmela Scalone
We propose structure-preserving dynamical low-rank methods for stochastic Vlasov--Poisson equations with transport noise. We first derive the continuous low-rank evolution equation…
Computing the Nonnegative Low-Rank Leading Eigenmatrix and its Applications to Markov Grids and Metzler Operators
Nicolas Gillis, Carmela Scalone
We consider in this paper the problem of computing a nonnegative low-rank approximation of the rightmost eigenpair of a linear matrix-valued real operator. We propose an algorithm…
A multi-fidelity adaptive dynamical low-rank based optimization algorithm for fission criticality problems
C. Scalone, L. Einkemmer, J. Kusch +1
Computing the dominant eigenvalue is important in nuclear systems as it determines the stability of the system (i.e. whether the system is sub or supercritical). Recently, the work…
On the numerical solution of stochastic oscillators driven by time-varying and random forces
Raffaele D'Ambrosio, Carmela Scalone
In this work, we provide a specifc trigonometric stochastic numerical method for linear oscillators with high constant frequencies, driven by a nonlinear time-varying force and a r…