32 citations · 67 across the 22 of their papers we have counts for
23 papers
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation
Jingwei Hu, Ruiwen Shu
Implicit-explicit Runge-Kutta (IMEX-RK) schemes are popular methods to treat multiscale equations that contain a stiff part and a non-stiff part, where the stiff part is characteri…
Existence of radial global smooth solutions to the pressureless Euler-Poisson equations with quadratic confinement
José A. Carrillo, Ruiwen Shu
We consider the pressureless Euler-Poisson equations with quadratic confinement. For spatial dimension , we give a necessary and sufficient condition for the exist…
Minimizers of 3D anisotropic interaction energies
José A. Carrillo, Ruiwen Shu
We study a large family of axisymmetric Riesz-type singular interaction potentials with anisotropy in three dimensions. We generalize some of the results of our recent work in two…
Global Minimizers of a Large Class of Anisotropic Attractive-Repulsive Interaction Energies in 2D
José A. Carrillo, Ruiwen Shu
We study a large family of Riesz-type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas wh…
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…
Dynamics of Particles on a Curve with Pairwise Hyper-singular Repulsion
Douglas Hardin, Edward B. Saff, Ruiwen Shu +1
We investigate the large time behavior of particles restricted to a smooth closed curve in and subject to a gradient flow with respect to Euclidean hyper-singula…
Newtonian repulsion and radial confinement: convergence towards steady state
Ruiwen Shu, Eitan Tadmor
We investigate the large time behavior of multi-dimensional aggregation equations driven by Newtonian repulsion, and balanced by radial attraction and confinement. In case of Newto…
Tightness of radially-symmetric solutions to 2D aggregation-diffusion equations with weak interaction forces
Ruiwen Shu
We prove the tightness of radially-symmetric solutions to 2D aggregation-diffusion equations, where the pairwise attraction force is possibly degenerate at large distance. We first…
Equilibration of aggregation-diffusion equations with weak interaction forces
Ruiwen Shu
This paper studies the large time behavior of aggregation-diffusion equations. For one spatial dimension with certain assumptions on the interaction potential, the diffusion index…
On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations
Jingwei Hu, Ruiwen Shu
Many hyperbolic and kinetic equations contain a non-stiff convection/transport part and a stiff relaxation/collision part (characterized by the relaxation or mean free time $\varep…
Collective dynamics of opposing groups with stochastic communication
Shi Jin, Ruiwen Shu
We propose models describing the collective dynamics of two opposing groups of individuals with stochastic communication. Individuals from the same group are assumed to align in a…
Anticipation breeds alignment
Ruiwen Shu, Eitan Tadmor
We study the large-time behavior of systems driven by radial potentials, which react to anticipated positions, , with anticipation…
Flocking hydrodynamics with external potentials
Ruiwen Shu, Eitan Tadmor
We study the large-time behavior of hydrodynamic model which describes the collective behavior of continuum of agents, driven by pairwise alignment interactions with additional ext…
A second-order asymptotic-preserving and positivity-preserving exponential Runge-Kutta method for a class of stiff kinetic equations
Jingwei Hu, Ruiwen Shu
We introduce a second-order time discretization method for stiff kinetic equations. The method is asymptotic-preserving (AP) -- can capture the Euler limit without numerically reso…
A study of Landau damping with random initial inputs
Ruiwen Shu, Shi Jin
For the Vlasov-Poisson equation with random uncertain initial data, we prove that the Landau damping solution given by the deterministic counterpart (Caglioti and Maffei, {\it J. S…
A new numerical approach to inverse transport equation with error analysis
Qin Li, Ruiwen Shu, Li Wang
The inverse radiative transfer problem finds broad applications in medical imaging, atmospheric science, astronomy, and many other areas. This problem intends to recover the optica…
Asymptotic-preserving and positivity-preserving implicit-explicit schemes for the stiff BGK equation
Jingwei Hu, Ruiwen Shu, Xiangxiong Zhang
We develop a family of second-order implicit-explicit (IMEX) schemes for the stiff BGK kinetic equation. The method is asymptotic-preserving (can capture the Euler limit without nu…
Sensitivity analysis of Burgers' equation with shocks
Qin Li, Jian-Guo Liu, Ruiwen Shu
Generalized polynomial chaos (gPC) method has been extensively used in uncertainty quantification problems where equations contain random variables. For gPC to achieve high accurac…