High-order local discontinuous Galerkin method for simulating wormhole propagation. - Hui Guo; Lulu Tian; Ziyao Xu 002; Yang Yang 014; Ning Qi (J. Comput. Appl. Math., 2019)

High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes. - Nattaporn Chuenjarern; Ziyao Xu 002; Yang Yang 014 (J. Comput. Phys., 2019)

High-order bound-preserving discontinuous Galerkin methods for wormhole propagation on triangular meshes. - Ziyao Xu 002; Yang Yang 014; Hui Guo (J. Comput. Phys., 2019)

The hybrid dimensional representation of permeability tensor: A reinterpretation of the discrete fracture model and its extension on nonconforming meshes. - Ziyao Xu 002; Yang Yang 014 (J. Comput. Phys., 2020)

The Hybrid-dimensional Darcy's Law: A Reinterpreted Discrete Fracture Model for Fracture and Barrier Networks on Non-conforming Meshes. - Ziyao Xu 002; Zhaoqin Huang; Yang Yang 014 (CoRR, 2021)

High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations. - Ziyao Xu 002; Chi-Wang Shu (J. Comput. Phys., 2022)

Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. - Ziyao Xu 002; Chi-Wang Shu (J. Comput. Phys., 2022)

The hybrid-dimensional Darcy's law: a non-conforming reinterpreted discrete fracture model (RDFM) for single-phase flow in fractured media. - Ziyao Xu 002; Zhaoqin Huang; Yang Yang 014 (J. Comput. Phys., 2023)

On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations. - Ziyao Xu 002; Chi-Wang Shu (J. Comput. Phys., 2023)

Local Characteristic Decomposition-Free High-Order Finite Difference WENO Schemes for Hyperbolic Systems Endowed with a Coordinate System of Riemann Invariants. - Ziyao Xu 002; Chi-Wang Shu (SIAM J. Sci. Comput., 2024)

A High-Order Well-Balanced Discontinuous Galerkin Method for Hyperbolic Balance Laws Based on the Gauss-Lobatto Quadrature Rules. - Ziyao Xu 002; Chi-Wang Shu (J. Sci. Comput., 2024)

A reinterpreted discrete fracture model for wormhole propagation in fractured porous media. - Xinyu Wu; Hui Guo; Ziyao Xu 002; Lulu Tian; Yang Yang 014 (J. Comput. Phys., 2025)

High-order exponential time differencing multi-resolution alternative finite difference WENO methods for nonlinear degenerate parabolic equations. - Ziyao Xu 002; Yong-Tao Zhang (J. Comput. Phys., 2025)