2014

Reports 2014 

Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal
model in continuum space with anisotropic condition
by Jie Du, S.C. Wong, Chi-Wang Shu, and Mengping Zhang, Dec. 2, 2014.

Higher-order finite element methods for elliptic problems with interfaces by Johnny Guzman, Manuel Sanchez-Uribe, Marcus Sarkis on Nov. 13, 2014.

Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems by Haijin Wang , Chi-Wang Shu and Qiang Zhang on Sept. 16, 2014.

A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes by Xuliang Liu, Shuhai Zhang, Hanxin Zhang and Chi-Wang Sh on Aug. 26, 2014.

Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter by Jun Zhu, Xinghui Zhong, Chi-Wang Shu and Jianxian Qiu on Aug. 12, 2014.

A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes by Jie Du, Chi-Wang Shu and Mengping Zhang on Aug. 5, 2014.

Stabilisation of high aspect ratio mixed finite elements for incompressible flowby Mark Ainsworth, Gabriel R. Barrenechea and Andreas Wachtel on June 18, 2014

Discrete Extension Operators for Mixed finite element spaces on locally refined meshes by Mark Ainsworth, Johnny Guzman, Francisco J. Sayas on June 18, 2014

Numerical Solution of the viscous surface wave with discontinuous Galerkin method by Lei Wu and Chi-Wang SHu on June 2, 2014

On the accuracy of finite element approximations to a class of interface problems by Johnny Guzman , Manuel Sanchez-Uribe and Marcus Sarkis on March 28, 2014

A Survey of High Order Schemes for the Shallow Water Equations by Yulong Xing and Chi-Wang Shu on March 17, 2014

Recovering exponential accuracy in Fourier spectral methods involving piecewise smooth functions with unbounded derivative singularities by Zheng Chen and Chi-Wang Shu on March 5, 2014

High order finite difference methods with subcell resolution for stiff multispecies detonation capturing by Wei Wang , Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov and Bjorn Sjogreen on Feb. 26, 2014

Stability and error estimates of local discontinuus Galerkin Methods with implicit-explicit time-marching for convection-diffusionby Haijin Wang, Chi-Wang Shu, and Qiang Zhang on Feb. 11, 2014 

High order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning ratesby Yan Jiang , Chi-Wang Shu and Mengping Zhang on Feb. 5, 2014