Publications in Press

Books

• Farrell P. A., Hegarty A. F., Miller J. J. H., O'Riordan E. and Shishkin G. I.. Robust Computational Techniques for Boundary layers. Chapman & Hall (to appear) 300pp.

Papers

• Farrell P. A., Hegarty A. F., Miller J. J. H., O'Riordan E. and Shishkin G. I. (1999). On a fitted operator technique for singular perturbation equations. Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems. Nova Science Books, New York.
• Farrell P. A., Miller J. J. H., O'Riordan E. and Shishkin G. I. (1999). Singularly perturbed differential equations with discontinuous source terms. Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems. Nova Science Books, New York.
• MacMullen H., Miller J. J. H., O'Riordan E. and Shishkin G. I. (1999). Schwarz iterative method for convection-diffusion problems with boundary layers. Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems. Nova Science Books, New York.
• Matthews S., Miller J. J. H., O'Riordan E. and Shishkin G. I. (1999). A parameter robust numerical method for a system of singularly perturbed ordinary differential equations. Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems. Nova Science Books, New York.
• Hegarty A. F., Miller J. J. H., O'Riordan E. and Shishkin G. I. (1999). Numerical solution of problems with degenerate parabolic boundary layers. Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems. Nova Science Books, New York.
• Clavero C., Miller J. J. H., O'Riordan E. and Shishkin G. I.. Numerical experiments for advection-diffusion problems in a duct with a 180 degree bend. J. Comput. Math., 24pp.
• Miller J. J. H., O'Riordan E., Shishkin G. I. and Wang S.. A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer. Appl. Numer. Math., 17pp.
• MacMullen H., Miller J. J. H., O'Riordan E. and Shishkin G. I.. A second order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers. Submitted to Math. Comp., 16pp.
• Farrell P. A., Miller J. J. H., O'Riordan E. and Shishkin G. I.. Finite difference methods epsilon-uniform in the maximum norm for quasilinear differential equations with boundary layers. Submitted to SIAM J. Numer. Anal., 20pp.