3 citations · 7 across the 7 of their papers we have counts for
4 papers · 2 filters
A concurrent global-local numerical method for multiscale parabolic equations
Yulei Liao, Yang Liu, Pingbing Ming
This paper presents a concurrent global-local numerical method for solving multiscale parabolic equations in divergence form. The proposed method employs hybrid coefficient to prov…
Goal-Oriented Adaptive Finite Element Multilevel Quasi-Monte Carlo
Joakim Beck, Yang Liu, Erik von Schwerin +1
The efficient approximation of quantities of interest derived from PDEs with lognormal diffusivity is a central challenge in uncertainty quantification. This paper targets a proble…
Affine matrix scrambling achieves smoothness-dependent convergence rates
Yang Liu
We study the convergence rate of the median estimator for affine matrix scrambled digital nets applied to integrands over the unit hypercube . By taking the median of $(2…
Integrability of weak mixed first-order derivatives and convergence rates of scrambled digital nets
Yang Liu
We consider the integrability of weak mixed first-order derivatives of the integrand and study convergence rates of scrambled digital nets. We show that the generalized Vital…