Areas of mathematical interest: Numerical Analysis; Computational Fluid Dynamics; Porous Media Flow; Hyperbolic Conservation Laws; Shock Capturing Schemes

K. A. Lurie, S. L. Weekes, Effective and Averaged Energy Densities in OneDimensional Wave Propagation through SpatioTemporal Dielectric Laminates with Negative Effective Values of epsilon and mu, in Nonlinear Analysis and Applications: To V. Lakshmikantham on His 80th Birthday, edited by R. Agarwal and D. O'Regan, Kluwer Academic Publishers, 2004, pp. 767789.

S. L. Weekes, A Dispersive Effective Equation for Wave Propagation through Dynamic Laminates, in Wave Motion, 38 (2003), pp. 2541.

S. L. Weekes, A Stable Scheme for the Numerical Computation of Long Wave Propagation in Temporal Laminates, in Journal of Computational Physics, 176 (2002), pp. 345362

S.L. Weekes, Numerical computation of Wave Propagation in Dynamic Materials, Applied Numerical Mathematics, 37 (2001), pp. 417440.

R. Ewing, S.L. Weekes, Numerical methods for contaminant transport in porous media, Advances in Computational Mathematics, Z. Chen, Y. Li, C.A. Micchelli, Y. Xu, eds., Lecture Notes in Pure and Applied Mathematics, 202 (1999), pp. 7596, Marcel Dekker

Ewing, J. Wang, S. L. Weekes, On the simulation of multicomponent gas flow in porous media, Applied Numerical Mathematics, Applied Numerical Mathematics, 31 (1999), pp. 405427.

S. L. Weekes, A Novel Scheme for the NavierStokes Equations, Iterative Methods in Scientific Computations , J. Wang, M. Allen, B. Chen, T. Mathew, eds., IMACS Series in Computational and Applied Math., 4 (1998), pp. 313318.

S.L. Weekes, The Travelling Wave Scheme for The NavierStokes Equations, SIAM Journal of Numerical Analysis, 35 (1998), pp. 12491270.
