32 citations · 67 across the 22 of their papers we have counts for
6 papers · 1 filter
The Sharp Erdős-Turán Inequality
Ruiwen Shu, Jiuya Wang
Erdős and Turán proved a classical inequality on the distribution of roots for a complex polynomial in 1950, depicting the fundamental interplay between the size of the coefficient…
Generalized Erdős-Turán inequalities and stability of energy minimizers
Ruiwen Shu, Jiuya Wang
The classical Erdős-Turán inequality on the distribution of roots for complex polynomials can be equivalently stated in a potential theoretic formulation, that is, if the logarithm…
From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials
José A. Carrillo, Ruiwen Shu
For the interaction energy with repulsive-attractive potentials, we give generic conditions which guarantee the radial symmetry of the local minimizers in the infinite Wasserstein…
Accuracy and stability analysis of the Semi-Lagrangian method for stiff hyperbolic relaxation systems and kinetic BGK model
Mingchang Ding, Jing-Mei Qiu, Ruiwen Shu
In this paper, we develop a family of third order asymptotic-preserving (AP) and asymptotically accurate (AA) diagonally implicit Runge-Kutta (DIRK) time discretization methods for…
Semi-Lagrangian nodal discontinuous Galerkin method for the BGK Model
Mingchang Ding, Jing-Mei Qiu, Ruiwen Shu
In this paper, we propose an efficient, high order accurate and asymptotic-preserving (AP) semi-Lagrangian (SL) method for the BGK model with constant or spatially dependent Knudse…
High order strong stability preserving multi-derivative implicit and IMEX Runge--Kutta methods with asymptotic preserving properties
Sigal Gottlieb, Zachary J. Grant, Jingwei Hu +1
In this work we present a class of high order unconditionally strong stability preserving (SSP) implicit multi-derivative Runge--Kutta schemes, and SSP implicit-explicit (IMEX) mul…