246 citations · 723 across the 62 of their papers we have counts for
7 papers · 1 filter
Locally Order-Preserving Mapping for WENO Methods
Ruo Li, Wei Zhong
In our previous studies [17, 18], the commonly reported issue that most of the existing mapped WENO schemes suffer from either losing high resolutions or generating spurious oscill…
An extension of the order-preserving mapping to the WENO-Z-type schemes
Ruo Li, Wei Zhong
In our latest studies, by introducing the novel order-preserving (OP) criterion, we have successfully addressed the widely concerned issue of the previously published mapped weight…
Towards building the OP-Mapped WENO schemes: A general methodology
Ruo Li, Wei Zhong
A serious and ubiquitous issue in existing mapped WENO schemes is that most of them can hardly preserve high resolutions and in the meantime prevent spurious oscillations on solvin…
An Approximate Analytical Solution to Knudsen Layers
Ruo Li, Yichen Yang
We apply moment methods to obtaining an approximate analytical solution to Knudsen layers. Based on the hyperbolic regularized moment system for the Boltzmann equation with the Sha…
A new mapped WENO scheme using order-preserving mapping
Ruo Li, Wei Zhong
Existing mapped WENO schemes can hardly prevent spurious oscillations while preserving high resolutions at long output times. We reveal in this paper the essential reason for such…
High Order Numerical Homogenization for Dissipative Ordinary Differential Equations
Zeyu Jin, Ruo Li
We propose a high order numerical homogenization method for dissipative ordinary differential equations (ODEs) containing two time scales. Essentially, only first order homogenized…