[19]  Shuyu Sun and 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. PDFfile (Listed in Top 20 Most Downloaded Articles of SISC in June 2009, July 2009, August 2009)

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

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

[16]  Jiangguo Liu and 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. PDFfile

[15]  Jiangguo Liu and 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. PDFfile

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

[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. PDFfile 

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

[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. PDFfile 

[10]  Jiangguo Liu, Bojan Popov, Hong Wang, and 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. PDFfile

[9]  Jiangguo Liu and 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. PDFfile

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

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

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

[5]  Richard E. Ewing, Jiangguo Liu, and 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, and 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 and Jiangguo Liu, Development of CFL-free, explicit schemes for multidimensional advection-reaction equations, SIAM J. Sci. Comput., 23(2001), pp.1418--1438. PDFfile

[2]  Hong Wang and 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 and 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.