THESIS: Development and Analysis of Higher Order Finite Volume Methods for Elliptic Equations.
10. (with N. Kleinfelter and J. Cushman) Mixture Theory and Unsaturated Flow in Swelling Soils: Where We Are -- Transport in Porous Media, Vol 68, No 1, 69--89, (2007).
9. (with J. Cushman) On Upscaling Operator-Stable Levy motions in fractal porous media -- J. of Comp. Phys. 217, 159--165, (2006)
8. (with N. Kleinfelter and J. Cushman) Renormalizing Chaotic Dynamics in Fractal Porous Media with Application to Microbe Motility -- Geophys. Res. Lett., 33, L01401, (2006). : I.F. = 2.3.
7. (with J.H. Cushman, N. Kleinfelter and M. Moroni) Super-Diffusion via Levy Lagrangian Velocity Processes -- Geophysical Research Letters, Vol. 32, no. 19, L19816, (2005).
6. (with N. Kleinfelter and J. Cushman) Scaling Laws and Dispersion Equations for L\'{e}vy Particles in One dimensional Fractal Porous Media -- Phys. Rev. E 72, 056305, (2005). : I.F. = 2.352.
5. (with N. Kleinfelter and J. Cushman) Upscaling of Levy motions in One dimensional Porous media via Central Limit Theorems: -- SIAM MMS Vol 4, No. 4, pp 1233-1244, (2005) : I.F. = 1.135.
4. (with N. Kleinfelter and J. Cushman) Micromorphic fluid in an elastic porous body: blood flow in tissues. -- Int. J. Multiscale Comp. Eng., Vol. 3, no. 1, 71--84, (2005).
3. (with Z. Cai and J. Douglas, Jr.) Development and Analysis of Higher Order Finite Volume Methods over Rectangles for Elliptic Equations. -- Adv. Comp. Math. Vol 19, (2003) issue 1-3, pp 3 -- 33, 2003 : I.F.=0.926.
2. (with S. K. Chung) Spectral Analysis for Hyperbolic Integro-differential equations with a Weakly Singular Kernel -- J. Korea SIAM Vol. 2, no.2, 31--40, 1998.
1. (with S. K. Chung and A. K. Pani) Convergence of finite difference method for the generalized solutions of Sobolev equations -- J. Korean Math. Soc. vol. 34, no. 3, 515--531, 1997.
(with J. Douglas, Jr.) MDT tool in a Slanted Wellbore -- report to Schlumberger.