Biography

B.A. (Mathematics) Dublin University 1979 M.Sc., Dublin, 1982 Ph.D. Dublin, 1986

Research Interests

Numerical solution of singular perturbation problems. Special mesh methods. Adaptive and moving mesh methods.

Books

Robust Computational Techniques for Boundary Layers

Dr. Alan Hegarty
2000
Boca raton, Florida
Chapman & Hall/CRC
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Book Chapters

Key to the computation of the transfer of a substance by convection-diffusion in a laminar fluid.

Dr. Alan Hegarty
1993
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Edited Books

BAIL 2008 - Boundary and Interior Layers, Proceedings of the International Conference on Boundary and Interior Layers - Computational and Asymptotic Methods, Limerick, July 2008, Lecture Notes in Computational Science and Engineering, 69

Dr. Alan Hegarty
2009
Berlin Heidelberg
Springer
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Peer Reviewed Journals

SPECIAL MESHES FOR FINITE-DIFFERENCE APPROXIMATIONS TO AN ADVECTION-DIFFUSION EQUATION WITH PARABOLIC LAYERS

Dr. Alan Hegarty
1995
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On a necessary requirement for re-uniform numerical methods to solve boundary layer equations for flow along a flat plate

Dr. Alan Hegarty
2001
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Numerical solution of a rimming flow problem using a moving mesh method.

Dr. Alan Hegarty
2003
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A COMPARISON OF UNIFORMLY CONVERGENT DIFFERENCE-SCHEMES FOR 2-DIMENSIONAL CONVECTION DIFFUSION-PROBLEMS

Dr. Alan Hegarty
1993
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Parameter-uniform numerical methods for a class of singularly perturbed problems with a Neumann boundary condition

Dr. Alan Hegarty
2001
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A note on iterative methods for solving singularly perturbed problems using non-monotone methods on Shishkin meshes

Dr. Alan Hegarty
2003
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NUMERICAL RESULTS FOR ADVECTION-DOMINATED HEAT-TRANSFER IN A MOVING FLUID WITH A NON-SLIP BOUNDARY-CONDITION

Dr. Alan Hegarty
1995
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A parameter robust method for a problem with a symmetry boundary layer

Dr. Alan Hegarty
2001
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A shunted model of renal inner medulla with pre-bend transitions: Comparison with multi-nephron models.

Dr. Alan Hegarty
2009
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ON A NOVEL MESH FOR THE REGULAR BOUNDARY-LAYERS ARISING IN ADVECTION-DOMINATED TRANSPORT IN 2 DIMENSIONS

Dr. Alan Hegarty
1995
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Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain

Dr. Alan Hegarty
2017
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Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient

Dr. Alan Hegarty
2004
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USE OF CENTRAL-DIFFERENCE OPERATORS FOR SOLUTION OF SINGULARLY PERTURBED PROBLEMS

Dr. Alan Hegarty
1994
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Singularly perturbed convection-diffusion problems with boundary and weak interior layers

Dr. Alan Hegarty
2004
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Numerical results for advection-convection problems on fitted meshes

Dr. Alan Hegarty
1997
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Parameter-uniform numerical methods for a laminar jet problem

Dr. Alan Hegarty
2003
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Numerical solution of a convection diffusion problem with Robin boundary conditions

Dr. Alan Hegarty
2003
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An experimental technique for computing parameter-uniform error estimates for numerical solutions of singular perturbation problems, with an application to Prandtl's problem at high Reynolds number

Dr. Alan Hegarty
2002
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Numerical techniques for flow problems with singularities

Dr. Alan Hegarty
2003
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On a necessary requirement for re-uniform numerical methods to solve boundary layer equations for flow along a flat plate

Dr. Alan Hegarty
2001
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A note on fitted operator methods for a laminar jet problem

Dr. Alan Hegarty
2003
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Computing realistic Reynolds-uniform error bound's for discrete derivatives of flow velocities in the boundary layer for Prandtl's problem

Dr. Alan Hegarty
2003
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Special numerical methods for convection-dominated laminar flows at arbitrary Reynolds number.

Dr. Alan Hegarty
1994
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Other Journals

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Conference Publications

6th International Conference on Boundary and Interior Layers (BAIL VI)

Dr. Alan Hegarty
2012
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NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2

Dr. Alan Hegarty
2009
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Fourth International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL IV)

Dr. Alan Hegarty
1986
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BAIL 2006

Helen Purtill
Dr. Alan Hegarty
2006
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Biennial Numerical Analysis Conference

Dr. Alan Hegarty
2005
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13th IMACS World Congress

Dr. Alan Hegarty
1991
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Lecture Notes in Computational Science and Engineering

Dr. Alan Hegarty
2009
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2nd International Conference, Computational Methods in Applied Mathematics

Dr. Alan Hegarty
2005
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First International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL I)

Dr. Alan Hegarty
1980
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AIP Conference Proceedings

Dr. Alan Hegarty
2009
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3rd Annual Workshop on Numerical Methods for Problems with Layer Phenomena

Dr. Alan Hegarty
2004
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13th IMACS World Congress

Dr. Alan Hegarty
1991
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Eccomas Computational Fluid Dynamics Conference

Dr. Alan Hegarty
2001
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3rd Annual Workshop on Numerical Methods for Problems with Layer Phenomena

Dr. Alan Hegarty
2004
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Meeting on Singular Perturbation Problems

Dr. Alan Hegarty
1995
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International Seminar on Applied Mathematics '91

Dr. Alan Hegarty
1999
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September Meeting, Irish Mathematical Society

Dr. Alan Hegarty
1995
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Second International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL II)

Dr. Alan Hegarty
1982
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Eccomas Computational Fluid Dynamics Conference

Dr. Alan Hegarty
2001
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First International Conference on Computational and Asymptotic Methods for Boundary and Interior Layers (BAIL I)

Dr. Alan Hegarty
1980
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Conference Contributions

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Published Reports

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Editorials

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Book Reviews

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Other Publications

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