- Jiangguo Liu and Chaoping Chen, A characteristic
finite element method with local mesh refinements for the Lamm equation
in analytical ultracentrifugation, Numer. Meth.
PDEs,
(accepted)
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Richard
E. Ewing,
Jiangguo Liu, and Hong Wang, Adaptive
biorthogonal spline schemes for advection-reaction equations, J.
Comput. Phys., 193(2004), pp.21--39.
- 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.
- Richard E. Ewing, Jiangguo
Liu,
and
Hong Wang, Adaptive wavelet methods for advection-reaction
equations, Contemp.
Math., Vol.329(2003),
pp.119--130.
- 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.
- 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.
- 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.
- 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.