Development of CFL-Free, Explicit Schemes for Multidimensional Advection-Reaction Equations. - Hong Wang; Jiangguo Liu (SIAM J. Sci. Comput., 2001)

Convergence Analysis of Wavelet Schemes for Convection-Reaction Equations under Minimal Regularity Assumptions. - Jiangguo Liu; Bojan Popov; Hong Wang; Richard E. Ewing (SIAM J. Numer. Anal., 2005)

An efficient algorithm for characteristic tracking on two-dimensional triangular meshes. - Jiangguo Liu; Hongsen Chen; Richard E. Ewing; Guan Qin (Computing, 2007)

ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows. - Jiangguo Liu; Simon Tavener; Hongsen Chen (J. Comput. Phys., 2007)

A Locally Conservative Finite Element Method Based on Piecewise Constant Enrichment of the Continuous Galerkin Method. - Shuyu Sun 001; Jiangguo Liu (SIAM J. Sci. Comput., 2009)

An adaptive discontinuous finite volume method for elliptic problems. - Jiangguo Liu; Lin Mu; Xiu Ye (J. Comput. Appl. Math., 2011)

A Comparative Study of Locally Conservative Numerical Methods for Darcy's Flows. - Jiangguo Liu; Lin Mu; Xiu Ye (ICCS, 2011)

Penalty-Factor-Free Discontinuous Galerkin Methods for 2-Dim Stokes Problems. - Jiangguo Liu (SIAM J. Numer. Anal., 2011)

L2 error estimation for DGFEM for elliptic problems with low regularity. - Jiangguo Liu; Lin Mu; Xiu Ye (Appl. Math. Lett., 2012)

Convergence of the discontinuous finite volume method for elliptic problems with minimal regularity. - Jiangguo Liu; Lin Mu; Xiu Ye; Rabeea Jari (J. Comput. Appl. Math., 2012)

A matched interface and boundary method for solving multi-flow Navier-Stokes equations with applications to geodynamics. - Yongcheng Zhou; Jiangguo Liu; Dennis L. Harry (J. Comput. Phys., 2012)

A Mathematical Model for Intracellular HIV-1 Gag Protein Transport and its Parallel Numerical Simulations. - Jiangguo Liu; Roberto Muñoz-Alicea; Tingwen Huang; Simon Tavener; Chaoping Chen (ICCS, 2012)

Weak Galerkin finite element methods for Darcy flow: Anisotropy and heterogeneity. - Guang Lin 001; Jiangguo Liu; Lin Mu; Xiu Ye (J. Comput. Phys., 2014)

A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods. - Guang Lin 001; Jiangguo Liu; Farrah Sadre-Marandi (J. Comput. Appl. Math., 2015)

Pressure Recovery for Weakly Over-Penalized Discontinuous Galerkin Methods for the Stokes Problem. - Min Yang 009; Jiangguo Liu; Yanping Lin (J. Sci. Comput., 2015)

DarcyLite: A Matlab Toolbox for Darcy Flow Computation. - Jiangguo Liu; Farrah Sadre-Marandi; Zhuoran Wang (ICCS, 2016)

Preface - SI: SIAM-2015. - Xiaoming He; Jiangguo Liu; Erik S. Van Vleck (J. Comput. Appl. Math., 2016)

On Application of the Weak Galerkin Finite Element Method to a Two-Phase Model for Subsurface Flow. - Victor Ginting; Guang Lin 001; Jiangguo Liu (J. Sci. Comput., 2016)

The THex Algorithm and a Simple Darcy Solver on Hexahedral Meshes. - Graham Harper; Jiangguo Liu; Bin Zheng (ICCS, 2017)

A Two-Field Finite Element Solver for Poroelasticity on Quadrilateral Meshes. - Graham Harper; Jiangguo Liu; Simon Tavener; Zhuoran Wang (ICCS (3), 2018)

The lowest-order weak Galerkin finite element method for the Darcy equation on quadrilateral and hybrid meshes. - Jiangguo Liu; Simon Tavener; Zhuoran Wang (J. Comput. Phys., 2018)

Lowest-Order Weak Galerkin Finite Element Method for Darcy Flow on Convex Polygonal Meshes. - Jiangguo Liu; Simon Tavener; Zhuoran Wang (SIAM J. Sci. Comput., 2018)

deal.II Implementation of a Weak Galerkin Finite Element Solver for Darcy Flow. - Zhuoran Wang; Graham Harper; Patrick O'Leary; Jiangguo Liu; Simon Tavener (ICCS (4), 2019)

Editorial: The 3rd Annual Meeting of SIAM Central States Section. - Jiangguo Liu; Stephen Pankavich; Ying Wang; Anna Zemlyanova; Xu Zhang 003 (J. Comput. Appl. Math., 2019)

Lowest-Order Weak Galerkin Finite Element Methods for Linear Elasticity on Rectangular and Brick Meshes. - Graham Harper; Jiangguo Liu; Simon Tavener; Bin Zheng (J. Sci. Comput., 2019)

deal.II Implementation of a Two-Field Finite Element Solver for Poroelasticity. - Zhuoran Wang; Jiangguo Liu (ICCS (7), 2020)

A locking-free solver for linear elasticity on quadrilateral and hexahedral meshes based on enrichment of Lagrangian elements. - Graham Harper; Ruishu Wang; Jiangguo Liu; Simon Tavener; Ran Zhang 002 (Comput. Math. Appl., 2020)

Machine learning and transport simulations for groundwater anomaly detection. - Jiangguo Liu; Jianli Gu; Huishu Li; Kenneth H. Carlson (J. Comput. Appl. Math., 2020)

A lowest-order weak Galerkin finite element method for Stokes flow on polygonal meshes. - Jiangguo Liu; Graham Harper; Nolisa Malluwawadu; Simon Tavener (J. Comput. Appl. Math., 2020)

An efficient numerical solver for anisotropic subdiffusion problems. - Jinying Tan; Jiangguo Liu (J. Comput. Appl. Math., 2020)

Penalty-Free Any-Order Weak Galerkin FEMs for Elliptic Problems on Quadrilateral Meshes. - Jiangguo Liu; Simon Tavener; Zhuoran Wang (J. Sci. Comput., 2020)

Poroelasticity Modules in DarcyLite. - Jiangguo Liu; Zhuoran Wang (ICCS (6), 2021)

Analysis of a 2-field finite element solver for poroelasticity on quadrilateral meshes. - Zhuoran Wang; Simon Tavener; Jiangguo Liu (J. Comput. Appl. Math., 2021)

Robust weak Galerkin finite element solvers for Stokes flow based on a lifting operator. - Zhuoran Wang; Ruishu Wang; Jiangguo Liu (Comput. Math. Appl., 2022)

Dynamic Scene Deblurring Base on Continuous Cross-Layer Attention Transmission. - Xia Hua; Junxiong Fei; Mingxin Li; Zezheng Li; Yu Shi 004; Jiangguo Liu; Hanyu Hong (CoRR, 2022)

Solving anisotropic subdiffusion problems in annuli and shells. - Jinying Tan; Jiangguo Liu (J. Comput. Appl. Math., 2022)

Mathematical Modeling and Numerical Simulations for Drug Release from PLGA Particles. - Yu Sun; Yan Li; Jiangguo Liu (ICCS (5), 2023)

Penalty-Free Any-Order Weak Galerkin FEMs for Linear Elasticity on Quadrilateral Meshes. - Ruishu Wang; Zhuoran Wang; Jiangguo Liu (J. Sci. Comput., 2023)

A Positivity-Preserving and Robust Fast Solver for Time-Fractional Convection-Diffusion Problems. - Boyang Yu; Yonghai Li; Jiangguo Liu (J. Sci. Comput., 2024)

Full weak Galerkin finite element discretizations for poroelasticity problems in the primal formulation. - Ruishu Wang; Zhuoran Wang; Simon Tavener; Jiangguo Liu (J. Comput. Appl. Math., 2024)

DarcyLite Modules for a Property-Preserving Transport Solver. - Jiangguo Liu; Boyang Yu; Yingli Li (ICCS (Workshops 5), 2025)