Holomorphic function spaces and composition operators

1.Composition operators on $F$-algebra $N\sb p$ and $N\sp *\sb p$, Lijian Jiang, Pure Appl.Math.17(2001), no.3, 256-260.

2. Composition operator on Bers-type spaces, Weixiang He, Lijian Jiang, Acta Math. Sci. Ser. B 3 (2002), 404-412.

3. Bers-type spaces and composition operators, Lijian Jiang, Yezhou Li, Northeast. Math. J. 18 (2002), no. 3, 223-232.

4. Composition operators from $B\sp \alpha$ to $F(p,q,s)$, Lijian Jiang, Yuzan He, Acta Math. Sci. Ser.B 23 (2003), no.2, 252-260.

5. Composition operators on some analytic function spaces, Lijian Jiang, AMSS, thesis in AMSS.

Homogenization of nonlinear partial differential equations

6. Individual homogenization of nonlinear parabolic operators, Y. Efendiev, L.Jiang, and A. Pankov, App. Anal., Vol.85 (2006), no.12, 1433-1457. PDF

Numerical multiscale methods, flows in porous media and numerical analysis

7. Multiscale methods for parabolic equations with continuum spatial scales, L. Jiang, Y. Efendiev, and V. Ginting, Discrete and Continuous Dynamical Systems - Ser. B, Vol.8 (2007), no.4, 833-859. PDF

8. Mixed multiscale finite element methods using limited global information, J. Aarnes, Y. Efendiev, L. Jiang, SIAM, Multiscale Modeling and Simulation, accepted for publication. PDF

9. Some multiscale results using limited global information for two-phase flow simulations, J. Aarnes, Y. Efendiev, L.Jiang (submited to IJNAM) PDF

10. Global multiscale methods for acoustic wave equations with continum scales , L. Jiang, Y. Efendiev, V. Ginting ( submitted to SIAM, J. Numerical analysis) PDF

11 Solving inverse tomography problems, K. Bartley, N. Bennett, Q. Fang, D. St John, L. Jiang and L. Wang, IMA preprint .

12. A unified analysis of 4D variational data assimilation and its application, Lijian Jiang, Craig C. Douglas (submitted to Computing) PDF

13. Operator splitting methods in 4D variational data assimilation, Lijian Jiang, Craig C. Douglas, and Yalchin Efendiev (submitted)

14. Mixed multiscale finite element methods on adaptive unstructured grids using limited global information, J. Aarnes, Y. Efendiev, T. Y. Hou and L. Jiang (submitted) PDF .

Working papers or projects

1. Multiscale mimetic finite difference method and its application in porous media (in preparation).

2. Global Mixed MsFEM and finite volume method for flows in porous media (in preparation)