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math.NA2026
Structure-Preserving Dynamical Low-Rank Approximations for Stochastic Vlasov--Poisson Equations
Jianbo Cui, Carmela Scalone
We develop structure-preserving dynamical low-rank methods for stochastic Vlasov--Poisson equations with transport noise. We first derive continuous low-rank evolution equations th…
math.NA2026
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…