M.Sc. Theses

- "Hyperbolicity and Correctness for Initial-Boundary Value Problems" John Bradley, 1972.
- "Zero Order Asymptotic Expansions for Singular Perturbation Problems and their Numerical Calculation" Edward P Doolan, 1977.
- "Finite Elements for Mixed Initial Boundary Value Problems for Hyperbolic Systems of Dissipative Type" D J Duffy, 1977.
- "A Higher Order Finite Element Method for the Solution of a Singularly Perturbed Differential Equation" Paul A Farrell, 1978.
- "Completely Exponentially Fitted Finite Difference Schemes for Some Singular Perturbation Problems" John Carroll, 1980.
- "A Uniform Second Order Accurate Difference Scheme for a Singularly Perturbed Two Point Boundary Value Problem" Alan Hegarty, 1981.
- "A Uniformly Convergent Difference Scheme for a Singular Perturbation Problem" Alan Sloane, 1981.
- "On Exponentially Fitted Finite Difference Schemes for a One-Dimensional pn-Junction Diode" Stephen Iremonger, 1985.
- "A Numerical Solution of the Two Dimensional Poisson Equation for Semiconductor Devices" Séan P Mulligan, 1986.
- "Some Methods for Terminal Current Evaluation in Semiconductor Device Simulation" Michael Lough, 1989.
- "A Method for Mesh Generation and Adaption on Domains which have curvilinear boundaries" David Costello, 1991.
- "A Numerical Study of e-Uniform Finite Element Methods for Regular and Parabolic Boundary Layers" Oliver A Byrne, 1992.
- "A Moving Boundary Finite Element Solution of a Pharmaceutical Drug Delivery Problem" Eamonn Kenny, 1994.
- "Finite Difference Methods for Solving the Navier-Stokes Equations in Two Dimensions" Kevin A King, 1994.
- "A Numerical Study of the Effect of Riblets on the Drag Force in Laminar Flow in a Semi-Infinite Channel" Mark Brennan 1996.

M.Sc. theses in High Performance Computing

- "Numerical Study of Linear Convection-Diffusion Problems in Two Dimensions with Applications" Gerard O'Reilly, 1998.
- "Use of a Supercomputer to Analyse Numerical Methods for Problems with Boumdary Layers" Alison P Musgrave, 1998.
- "Analysis of Rounding Errors in Numerical Solutions of a Singularly Perturbed Two-Point Boundary Value Problem with Dirichlet and Neumann Boundary Conditions" Enda O'Dea, 1999.
- "Robust layer-resolving numerical methods for the Falkner-Skan problem" John Butler, 2000.
- “Numerical analysis of Re-uniform convergence for boundary layer equations of a converging channel with laminar flow using a transferred domain” Daniel Murphy, 2001.

Ph.D. Theses

- "Finite Element Approximation to Mixed Initial Boundary Value Problems for First Order Hyperbolic Systems" Suwon Tangmanee, 1977.
- "Uniform Numerical Methods for Problems with Initial and Boundary Layers" E P Doolan, 1980.
- "Uniformly Convergent Difference Schemes for Problems with a Small Parameter in the Leading Derivative" Daniel J Duffy, 1980.
- "Uniform Numerical Methods for Problems with Initial and Boundary Layers" W H A Schilders,1980.
- "Finite Element Methods for Singularly Perturbed Problems" Eugene O'Riordan, 1982.
- "Exponentially Fitted One Step Methods for the Numerical Integration of Some Stiff Initial Value Problems" John Carroll, 1983.
- "Uniformly Convergent Difference Schemes for Singularly Perturbed Turning and Non-Turning Point Problems" Paul A Farrell, 1983.
- "On Uniformly Convergent Finite Difference Methods for Non-Linear Singular Perturbation Problems" Maurice J O'Reilly, 1983.
- "Materially and Geometrically Nonlinear Analysis" Gerald A Bonner, 1985.
- "Methods for the Numerical Solution of Singular Perturbation Problems in One and Two Dimensions" Conor J Fitzsimons, 1986.
- "Analysis of Finite Difference Methods for Two-Dimensional Elliptic Singular Perturbation Problems" Alan F Hegarty, 1986.
- "Numerical Methods for the Solution of the Stationary Semiconductor Device Equations in Two and Three Dimensions" Song Wang, 1989.
- "Aspects of Delaunay Triangulation and Mesh Generation in Two and Three Dimensions" Nial Ferguson, 1990.
- "Numerical Analysis of the Time-Dependent three dimensional Semiconductor device equations" Changhui Wu, 1990.
- "Numerical Analysis of Semiconductor Device Equations in Two and Three Dimensions" Liu Fawang, 1991.
- "Preconditioned Iterative Methods for the Numerical Solution of the Stationary Semiconductor Device Equations" Séan P Mulligan, 1991.
- "A Robust Layer-Resolving Method for Flow Past a Plate with Heat Conduction" Alison Musgrave, 2002 (to be submitted).