12. (with Y. Kyei and G. Tang) A family of sixth-order compact finite-difference schemes for the three dimensional Poisson equation, Advances in Numerical Analysis, submitted, (2009). Downloadable PDF
11. (with K.D. Edoh) A fast wavelet multilevel approach to total variation image denoising, International Journal of Signal Processing, Image Processing, and Pattern Recognition, 2(3), pp. 57-74, (2009). Downloadable PDF
10. (with J. Borggaard and T. Iliescu) A bounded artificial viscosity model for the numerical simulation of turbulent flows, SIAM Journal on Numerical Analysis, 47 pp. 622-645, (2009). Downloadable PDF
9. (with J. Borggaard and T. Iliescu) An improved penalty method for power-law Stokes problems, Journal of Computational and Applied Mathematics, 223 pp. 646-658, (2008). Downloadable PDF
8. Numerical approximation of a one-dimensional space fractional advection-dispersion equation with boundary layer, Computers and Mathematics with Applications, 56, pp. 1808-1819, (2008). Downloadable pdf
7. (with J. Borggaard, T. Iliescu, H.K. Lee, and H. Son), A two-level discretization method for the Smagorinsky model, Multiscale Modeling & Simulation, 7(2), pp. 599-621, (2008). Downloadable pdf
6. (with V.J. Ervin and N. Heuer) Numerical Approximation of a Time Dependent, Non-linear, Fractional Order Diffusion Equation SIAM Journal on Numerical Analysis, 45, pp. 572-591, (2007). Downloadable PDF
5. Numerical comparison of nonlinear subgridscale models via adaptive mesh refinement, Mathematical and Computer Modelling, 46, pp. 1487-1506, (2007). Downloadable PDF
4. Computational aspects of FEM approximations of fractional advection dispersion equations on bounded domains in R^{2}, Journal of Computational and Applied Mathematics, 193, pp. 243-268, (2006). Downloadable PDF
3. (with V.J. Ervin) Variational solution of fractional advection dispersion equations on bounded domains in R^{d}, Numerical Methods for Partial Differential Equations 23, pp. 256-281, (2007). Downloadable PDF
2. (with V.J. Ervin) Variational formulation for the fractional advection dispersion equation, Numerical Methods for Partial Differential Equations, 22 pp. 558-576, (2006). Downloadable PDF
1. (with G.J. Fix, III) Least squares finite element solution of a fractional two point
boundary value problem, Computers and Mathematics with Applications, 48, pp. 1017-1033, (2004). Downloadable PDF
2. (with K.D. Edoh) Multilevel TV denoising methods for anisotropic tensor product wavelets, International Conference of Computing in Engineering, Science and Information, accepted, (2009).
1. (with J. Borggaard, T. Iliescu, H.K. Lee, and H. Son, Numerical approximation of the Smagorinsky model by a two-level method, PAMM-Proceedings in Applied Mathematics and Mechanics, 7(1), pp. 1101005-1101006, (2007).