2019

New stability estimates for an unfitted finite element method for two-phase Stokes problem.  E Cáceres, J Guzmán, M Olshanskii

L2-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow.  G Barrenechea, E Burman, J Guzmàn

Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem.  E Burman, R Durst, J Guzman

Overcoming the curse of dimensionality for some Hamilton–Jacobi partial differential equations via neural network architectures J Darbon, GP Langlois, T Meng

Optimal trajectories of a UAV base station using Lagrangian mechanics
Coupechoux, J Darbon, JM Kélif, M Sigelle

On decomposition models in imaging sciences and multi-time Hamilton-Jacobi partial differential equations.  J Darbon, T Meng

High order conservative Lagrangian schemes for one-dimensional radiative hydrodynamics equations in the equilibrium limit.  Juan Cheng, Chi-Wang Shu and Peng Song.

An ultra-weak DG method with IMEX time-marching for generalized stochastic KdV equations.  Yunzhang Li, Chi-Wang Shu, Shanjian Tang.

On moving mesh WENO schemes with characteristic boundary conditions for Hamilton_Jacobi equations.  Yue Li, Juan Cheng, Yinhua Xia and Chi-Wang Shu.

A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes.  Jun Zhu and Chi-Wang Shu.

Error estimate of the fourth Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations.  Yuan Xu, Chi-Wang Shu and Qiang Zhang.

Entropy Symmetrization and High-Order Accurate Entropy Stable Numberical Schemes for Relativistic MHD Equations.  Kailiang Wu and Chi-Wang Shu.

Optimal Error Estimates of the Semidiscrete Discontinuous Galerkin Methods for Two Dimentional Hyperbolic Equations on Cartesian Meshes using Pk Elements.  Young Liu, Chi-Wang Shu, and Mengping Zhang.

High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters.  Jun Zhu, Jianxian Qiu, and Chi-Wang Shu.

Assessment of aeroacoustic resolution properties of DC schemes and comparison with DRP schemes.  Ziqiang Chang, Jinwei Fang, Chi-Wang Shu and Mengping Zhang.

Review of entropy stable discontinuous Galerkin methods for Systems of conservation laws on unstructured simplex meshes.  Tianheng Chen and Chi-Wang Shu.

A local discontinuous Galerkin method for nonlinear parabolic SPDEs.  Yuzhang Li, Chi-Wang Shu, Shanjian Tang.

Convergence to steady-state solutions of the new type of high-order multi-resolution WENO schemes: a numerical study.  Jun Zu and Chi-Wang Shu.

A brief review on the convergence to steady state solutions of Euler equations with high-order WENO schemes.  Shuhai Zhang, Jun Zhu, and Chi-Wang Shu.

An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives.  Qi Tao, Yan Xu, Chi-Wang Shu.

High order arbitrary Lagrangian-Eulerian finite difference WENO scheme for Hamilton-Jacobi equations.  Yue Li, Juan Cheng, Yinhua Xia and Chi-Wang Shu.

A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes.  Jun Zhu and Chi-Wang Shu.

A Discontinuous Galerkin Method for Stochastic Conservation Laws.  Yunzhang Li, Chi-Wang Shu, and Shanjian Tang.

A dynamic continuum modeling approach to the spatial analysis of air quality and housing location choice in a polycentric city. Liangze Yang, S. C. Wong, Mengping Zhang and Chi-Wang Shu.

Certified offline-free reduced basis (COFRB) methods for stochastic differential equations driven by arbitrary types of noise.  Yong Liu, Tianheng Chen, Yanlai Chen and Chi-Wang Shu.

Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation.  Yong Liu, Qi Tao and Chi-Wang Shu.