2 papers
math.NA2026
Efficient generation of Gaussian random fields on metric graphs via domain decomposition and mass matrix lumping
Mihály Kovács, Gyula Molnár, Máté András Száraz
We consider Gaussian Random Fields on metric graphs defined implicitly as the stationary solution to a fractional SPDE driven by Gaussian white noise. Sampling from the finite elem…
math.NA2026
A regularized truncated finite element method for degenerate parabolic stochastic PDE on non-compact graph
Jianbo Cui, Mihály Kovács, Derui Sheng
We study the numerical approximation of a class of degenerate parabolic stochastic partial differential equations on non-compact metric graphs, which naturally arise in the asympto…