[68]  Boyang Yu, Yonghai Li, Jiangguo Liu, Fast numerical solvers for subdiffusion problems with spatial interfaces,  Int. J. Numer. Anal. Model., (Accepted, 2024).

[67]  Boyang Yu, Yonghai Li, Jiangguo Liu, A positivity-preserving and robust fast solver for time-fractional convection-subdiffusion problems, J. Sci. Comput., 98(2024), Article #59, Link

[66]  Ruishu Wang, Zhuoran Wang, Simon Tavener, Jiangguo Liu, Full weak Galerkin finite element discretizations for poroelaticity problems in the primal formulation, J. Comput. Appl. Math., 443(2024), Article #115754 Link

[65]  Y.Sun, J.Heacock, C.Chen, K.Qiu, L.Zou, J.Liu, Y.V.Li, Incorporation of gentamicin-encapsulated poly (lactic-co-glycolic acid) nanoparticles into polyurethane/poly(ethylene oxide) nanofiber scaffolds for biomedical applications, ACS Appl. Nano Mater., (2023), 6, 16096-16105. Link

[64]  Yu Sun, Yan Li, Jiangguo Liu, Mathematical modeling and numerical simulations for drug release from PLGA particles, Lec. Notes Comput. Sci., Vol.14077, pp.347-360. (ICCS 2023 Proceedings Part V, Springer) 

[63]  Ruishu Wang, Zhuoran Wang, Jiangguo Liu, Penalty-free any order weak GalerkinFEMs for linear elasticity on quadrilateral meshes, J. Sci. Comput., 95(2023), 20.

[62]  Zhuoran Wang, Ruishu Wang, Jiangguo Liu, Robust weak Galerkin finite element solvers for Stokes flow based on a lifting operator,  Comput. Math. Appl., 125(2022), pp.90-100. 

[61]  Jinying Tan, Jiangguo Liu, Solving anisotropic subdiffusion problems in annuli and shells, J. Comput. Appl. Math.,  401(2022), Article #113764. 

[60]  Jiangguo Liu, Zhuoran Wang, Poroelasticity modules in DarcyLite, Lec. Notes Comput. Sci., Vol.12747, pp.186-199 (ICCS 2021, Springer) PDF

[59]  Ruishu Wang, Zhuoran Wang, Jiangguo Liu, Simon Tavener, Ran Zhang, Locking-free CG-type finite element solvers for linear elasticity on simplicial meshes, Int. J. Numer. Anal. Model., 18(2021), pp.690-711.

[58]  Zhuoran Wang, Simon Tavener, Jiangguo Liu, Analysis of a 2-field finite element solver for poroelasticity on quadrilateral meshes, J. Comput. Appl. Math., 393(2021), Article #113539. Free link to article (provided by Publisher, good until 2021/05/08)

[57]  Graham Harper, Jiangguo Liu, Simon Tavener, Tim Wildey, Coupling Arbogast-Correa and Bernardi-Raugel elements to resolve coupled Stokes-Darcy flow problems, Comput. Meth. Appl. Mech. Engrg., 373(2021),  Article #113469. 

[56]  Graham Harper, Ruishu Wang, Jiangguo Liu, Simon Tavener, Ran Zhang, A locking-free solver for linear elasticity on quadrilateral and hexahedral meshes based on enrichment of Lagrangian elements, Comput. Math. Appl., 80(2020), pp.1578-1595. 

[55]  Jiangguo Liu, Simon Tavener, Zhuoran Wang, Penalty-free any-order weak Galerkin FEMs for elliptic problems on quadrilateral meshes, J. Sci. Comput., 83(2020), Article #47.  OnlineVersion, A view-only link provided by the Publisher
 
[54]  Jiangguo Liu, Jianli Gu, Huishu Li, Kenneth Carlson, Machine learning and transport simulations for groundwater anomaly detection, J. Comput. Appl. Math., 380(2020), Article #112982.

[53]  Zhuoran Wang, Jiangguo Liu, deal.II implementation of a two-field finite element solver for poroelasticity, Lec. Notes Comput. Sci., Vol.12143, pp.88-101. (ICCS 2020, Springer) PDF  

[52]  Jiangguo Liu, Graham Harper, Nolisa Malluwawadu, Simon Tavener, A lowest-order weak Galerkin finite element method for Stokes flow on polygonal meshes, J. Comput. Appl. Math., 368(2020), Article #112479. DarcyMINI_Stokes_WG0Plygn.zip (This mini-pack has all Matlab code modules for the examples in this paper)

[51]  Jinying Tan, Jiangguo Liu, An efficient numerical solver for anisotropic subdiffusion problems, J. Comput. Appl. Math., 364(2020), Article #112318. 

[50]  Zhuoran Wang, Graham Harper, Patrick O'Leary, Jiangguo Liu, Simon Tavener,  deal.II implementation of a weak Galerkin finite element solver for Darcy flow, Lec. Notes Comput. Sci., 11539(2019), pp.495-509. PDF 

[49]  Graham Harper, Jiangguo Liu, Simon Tavener, Bin Zheng,  Lowest-order weak Galerkin finite element methods for linear elasticity on rectangular and brick meshes, J. Sci. Comput., 78(2019), pp.1917-1941. OnlineVersion, A view-only link provided by the Publisher

[48]  J.Liu, S.Pankavich, Y.Wang, A.Zemlyanova, X.Zhang, Editorial for special issue SIAM.CCS.2017, JCAM, 362(2019).

[47]  Jiangguo Liu, Simon Tavener, Zhuoran Wang, Lowest-order weak Galerkin finite element method for Darcy flow on convex polygonal meshes, SIAM J. Sci. Comput., 40(2018), pp.B1229-B1252. PDF

[46]  Graham Harper, Jiangguo Liu, Simon Tavener, Zhuoran Wang, A two-field finite element solver for poroelasticity on quadrilateral meshes, Lec. Notes  Comput. Sci., Vol.10862(2018),  pp.76-88. PDF

[45]  S.Sun, J.Liu, J.Li, Simulations of flow and transport: Modeling, algorithms and computation, Springer, LNCS Vol.10862(2018), pp.1-7.
[44]  Jiangguo Liu, Simon Tavener, Zhuoran Wang, The lowest order weak Galerkin finite element method for the Darcy equation on quadrilateral and hybrid meshes, J. Comput. Phys., 359(2018), pp.312-330, PDF

[43]  Graham Harper, Jiangguo Liu, Bin Zheng, The THex algorithm and a simple Darcy solver on hexahedral meshes, Procedia Computer Science, 108C(2017), pp.1903-1912. PDF

[42]  Jiangguo Liu, Farrah Sadre-Marandi, Zhuoran Wang, DarcyLite: A Matlab toolbox for Darcy flow computation, Procedia Computer Science, 80(2016), pp.1301-1312. PDF

[41]  Min Yang, Jiangguo Liu, Qingsong Zou, Unified analysis of higher order finite volume methods for parabolic problems on quadrilateral meshes, IMA J. Numer. Anal., 36(2016), pp.872-896. Available online  PDF

[40] Victor Ginting, Guang Lin, Jiangguo Liu, On application of the weak Galerkin finite element method to a two-phase model for subsurface flow, J. Sci. Comput., 66(2016), pp.225-239. PDF 

[39] X.He, J.Liu, E.VanVleck, Preface for special issue SIAM.CSS.2015, JCAM, 307(2016).

[38]  Farrah Sadre-Marandi, Yuewu Liu, Jiangguo Liu, Simon Tavener, Xiufen Zou, Modeling HIV-1 capsid nucleation by dynamical systems, Math. Biosci., 270(2015), pp.95-105. PDF

[37]  Jiangguo Liu, Farrah Sadre-Marandi, Simon Tavener, Chaoping Chen, Curvature concentrations on the HIV-1 capsid,  Mol. Based Math. Biol., 3(2015), pp.43-53, OpenLink PDF

[36]  Min Yang, Jiangguo Liu, Yanping Lin, Pressure recovery for the weakly over-penalized discontinuous Galerkin methods for the Stokes problem, J. Sci. Comput., 63(2015), pp.699-715. PDF

[35]  Yuanbin Wang, Jinying Tan, Farrah Sadre-Marandi, Jiangguo Liu, Xiufen Zou, Mathematical modeling for intracellular transport and binding of HIV-1 gag proteins, Math. Biosci., 262(2015), pp.198-205. PDF

[34]  Guang Lin, Jiangguo Liu, Farrah Sadre-Marandi, A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods, J. Comput. Appl. Math., 273(2015), pp.346-362. PDF

[33]  Farrah Sadre-Marandi, Jiangguo Liu, Simon Tavener, Chaoping Chen,  Generating vectors for the lattice structures of tubular and conical viral capsids, Mol. Based Math. Biol., 2(2014), pp.128-140. OpenLink PDF

[32]  Guang Lin, Jiangguo Liu, Lin Mu, Xiu Ye, Weak Galerkin finite element methods for Darcy flow: Anisotropy and heterogeneity, J. Comput. Phys., 276(2014), pp.422-437. PDF

[31]  Yanping Lin, Jiangguo Liu, Min Yang, Finite volume element methods: An overview of recent developments, Int. J. Numer. Anal. Model. B, 4(2013), pp.14-24. PDF

[30]  Min Yang, Jiangguo Liu, Yanping Lin, Quadratic finite volume methods for elliptic and parabolic problems on quadrilateral meshes: Optimal order errors based on Barlow points, IMA J. Numer. Anal., 33(2013), pp.1342-1364. PDF

[29]  G.Allgower, J.Liu, Foreword for special issue Marburg 2011, JCAM, 254(2013).

[28]  Jiangguo Liu, Lin Mu, Xiu Ye, Rabeea Jari, Convergence analysis of the discontinuous finite volume element method for elliptic problems with minimal regularity, J. Comput. Appl. Math., 236(2012), pp.4537-4546. PDF

[27]  J.Liu, R.Munoz-Alicea, T.Huang, S.Tavener, C.Chen, A mathematical model for intracellular HIV-1 gag protein transport and its parallel numerical simulations, Procedia Computer Science, 9(2012), pp.679-688. PDF

[26]  Jiangguo Liu, Lin Mu, Xiu Ye, L2 Error estimation for DGFEM for elliptic problems with low regularity, Appl. Math. Lett., 25(2012), pp.1614-1618, PDF

[25]  Yongcheng Zhou, Jiangguo Liu, Dennis Harry, A matched interface and boundary method for solving multi-flow Navier–Stokes equations with applications to geodynamics, J. Comput. Phys., 231 (2012), pp.223-242. PDF

[24]  Jiangguo Liu, Penalty-factor-free discontinuous Galerkin methods for 2-dim Stokes problems, SIAM J. Numer. Anal., 49(2011), pp.2165-2181. PDF (SINUM Top 20 Most downloaded Nov. 2011)

[23]  Jiangguo Liu, Lin Mu, Xiu Ye, An adaptive discontinuous finite volume method for elliptic problems, J. Comput. Appl. Math., 235(2011), pp.5422-5431. PDF

[22]  Jiangguo Liu, Lin Mu, Xiu Ye, A comparative study of locally conservative numerical methods for Darcy's flows, Procedia Computer Science, 4(2011), pp.974-983. PDF, Preprint with better color graphics

[21]  Jiangguo Liu, Simon Tavener, Semi-implicit spectral collocation methods for reaction-diffusion equations on annuli, Numer. Meth. PDEs., 27(2011), pp.1113-1129. PDF

[20]  Min Yang, Jiangguo Liu, A quadratic finite volume element method for parabolic problems on quadrilateral meshes, IMA J. Numer. Anal., 31(2011), pp.1038-1061. PDF

[19]  Shuyu Sun, Jiangguo Liu, A locally conservative finite element method based on piecewise constant enrichment of the continuous Galerkin method, SIAM J. Sci. Comput., 31(2009), pp.2528-2548. PDF (Listed in Top 20 Most Downloaded Articles of SISC in June 2009, July 2009, August 2009)

[18]  Min Yang, Chunjia Bi, Jiangguo Liu, Postprocessing of a finite volume element method for semilinear parabolic problems, Math. Model. Numer. Anal. (M2AN), 43(2009), pp.957-971. PDF

[17]  Min Yang, Jiangguo Liu, Chuanjun Chen, Error estimation of a quadratic finite volume method on right quadrangular prism grids, J. Comput. Appl. Math., 229(2009), pp. 274-282. PDF

[16]  Jiangguo Liu, Chaoping Chen, A characteristic finite element method with local mesh refinements for the Lamm equation in analytical ultracentrifugation, Numer. Meth. PDEs, 25(2009), pp.292-310. PDF

[15]  Jiangguo Liu, Rachel Cali, A note on the approximation properties of the locally divergence-free finite elements, Int. J. Numer. Anal. Model., 5(2008), pp. 693-703. PDF

[14]  Jiangguo Liu, Simon Tavener, Hongsen Chen, ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows, J. Comput. Phys., 227(2007), pp.1372-1386. PDF

[13]  Jiangguo Liu, An efficient characteristic method for the magnetic induction equation with various resistivity scales, Lecture Notes in Computer Science, Vol.4487(2007), pp.882-889. PDF 

[12]  Jiangguo Liu, Hongsen Chen, Richard E.Ewing, Guan Qin, An efficient algorithm for characteristic tracking on two-dimensional triangular meshes, Computing, 80(2007), pp.121-136. PDF 

[11]  Jiangguo Liu, Richard E. Ewing, Guan Qin, Multilevel numerical solutions of convection-dominated diffusion problems by spline wavelets, Numer. Meth. PDEs, 22(2006), pp.994-1006. PDF 

[10]  Jiangguo Liu, Bojan Popov, Hong Wang, Richard E. Ewing, Convergence analysis of wavelet schemes for convection-reaction equations under minimal regularity assumptions, SIAM J. Numer. Anal., 43(2005), pp.521-539. PDF

[9]  Jiangguo Liu, Richard E. Ewing, An operator splitting method for nonlinear reactive transport equations and its implementation based on DLL and COM, "Current Trends in High Performance Computing and Its Applications", Lecture Notes in Computational Science and Engineering, Springer-Verlag, Heidelberg (2005), pp.93-102. PDF

[8]  Hong Wang, Jiangguo Liu, Magne S. Espedal, Richard E. Ewing, A characteristic nonoverlapping domain decomposition method for multidimensional convection-diffusion equations, Numer. Meth. PDEs, 21(2005), pp.89-103. PDF

[7]  Richard E. Ewing, Jiangguo Liu, Hong Wang, Adaptive biorthogonal spline schemes for advection-reaction equations, J. Comput. Phys., 193(2003), pp.21-39. PDF

[6]  J. Liu, Z. Chen, R. E. Ewing, G. Huan, B. Li, Z. Wang, Parallel computing in the black oil model, Contemp. Math. Vol.329(2003), pp.253-262. PDF

[5]  Richard E. Ewing, Jiangguo Liu, Hong Wang, Adaptive wavelet methods for advection-reaction equations, Contemp. Math., Vol.329(2003), pp.119-130.

[4]  Hong Wang, Jiangguo Liu, Magne S. Espedal, Richard E. Ewing, An Eulerian-Lagrangian substructuring domain decomposition method for multidimensional, unsteady-state advection-diffusion equations, Contemp. Math., Vol.295(2002), pp.469-480.

[3]  Hong Wang, Jiangguo Liu, Development of CFL-free, explicit schemes for multidimensional advection-reaction equations, SIAM J. Sci. Comput., 23(2001), pp.1418-1438. PDF

[2]  Hong Wang, Jiangguo Liu, CFL-free, explicit schemes for advection-reaction equations, Computational Methods in Water Resources XIII, Bentley et al. (eds), Balkema, Rotterdam (2000), pp.651-657.

[1]  Ronald A. DeVore, Hong Wang, Jiangguo Liu, Hong Xu, A CFL-free explicit scheme with compression for linear hyperbolic equations, Lecture Notes in Physics, Vol. 552, Springer-Verlag (2000), pp.116-123.