Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core. - Wenrui Hao; Jonathan D. Hauenstein; Bei Hu; Yuan Liu 018; Andrew J. Sommese; Yong-Tao Zhang (J. Sci. Comput., 2012)

A Robust Reconstruction for Unstructured WENO Schemes. - Yuan Liu 018; Yong-Tao Zhang (J. Sci. Comput., 2013)

High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes. - Andrew J. Christlieb; Yuan Liu 018; Qi Tang 001; Zhengfu Xu (J. Comput. Phys., 2015)

High order operator splitting methods based on an integral deferred correction framework. - Andrew J. Christlieb; Yuan Liu 018; Zhengfu Xu (J. Comput. Phys., 2015)

Positivity-Preserving Finite Difference Weighted ENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations. - Andrew J. Christlieb; Yuan Liu 018; Qi Tang 001; Zhengfu Xu (SIAM J. Sci. Comput., 2015)

Babich's Expansion and High-Order Eulerian Asymptotics for Point-Source Helmholtz Equations. - Jianliang Qian; Lijun Yuan; Yuan Liu 018; Songting Luo; Robert Burridge (J. Sci. Comput., 2016)

A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations. - Yuan Liu 018; Yingda Cheng; Chi-Wang Shu (J. Sci. Comput., 2017)

IB-WENO method for incompressible flow with elastic boundaries. - Ziqiang Cheng; Yuan Liu 018; Mengping Zhang; Jin Wang (J. Comput. Appl. Math., 2019)

Krylov implicit integration factor discontinuous Galerkin methods on sparse grids for high dimensional reaction-diffusion equations. - Yuan Liu 018; Yingda Cheng; Shanqin Chen; Yong-Tao Zhang (J. Comput. Phys., 2019)

Well-Balanced Discontinuous Galerkin Method for Shallow Water Equations with Constant Subtraction Techniques on Unstructured Meshes. - Huijing Du; Yingjie Liu; Yuan Liu 018; Zhiliang Xu (J. Sci. Comput., 2019)

An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations. - Zhanjing Tao; Juntao Huang; Yuan Liu 018; Wei Guo 004; Yingda Cheng (CoRR, 2020)

An Adaptive Multiresolution Interior Penalty Discontinuous Galerkin Method for Wave Equations in Second Order Form. - Juntao Huang; Yuan Liu 018; Wei Guo 004; Zhanjing Tao; Yingda Cheng (J. Sci. Comput., 2020)

A Class of Adaptive Multiresolution Ultra-Weak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations. - Juntao Huang; Yong Liu 019; Yuan Liu 018; Zhanjing Tao; Yingda Cheng (SIAM J. Sci. Comput., 2022)