# Annual Report 2001 - School of Mathematical Sciencs

# annual report 2001

## school of mathematical sciencs

**Research**

*Brady T*

"A Partial Order on the Symmetric Group and new K($pi$, 1)'s for the Braid Groups."

Advances in Mathematics, 161, 2001, pp 20-40.

*Brady T*"A Partial Order on the Symmetric Group and new K($pi$, 1)'s for the Braid Groups."

Advances in Mathematics, 161, 2001, pp 20-40.

*Burzlaff J*

Burzlaff, J. and Kellegher, E.

"Expansion in the distance parameter for two vortices close together."

Journal of Mathematical Physics, 42, 2001, pp 182-191.

*Abdelwahid, F. and Burzlaff, J.*

"A study of monopole scattering through power series expansions."

Reports on Mathematical Physics, 48, 2001, pp 415-423.

**Downes T**

*Downes T, Duffy P and Komissarov S*

"Light curves and spectra from gamma-ray bursts, Exploring the Gamma-Ray
Universe."

Proceedings of the 4th Integral Workshop, Eds A. Gimenez, V. Reglero and
C. Winkler, ESA-SP 459, 2001, pp 411-413.

*Downes T, Duffy P and Komissarov S*

"Simulations of synchrotron emission from gamma ray bursts. Similarities
and Universality in Relativistic Flows."

Proceedings of the PhD Euroconference, Mykonos, Greece. Eds. M. Georganopoulos,
A. Guthmann, K Manolakou, A. Marcowith (Logos-Verlag), 2001, pp 188-125.

*Downes T*

"Can jets from young stars drive molecular outflows?"

The Irish Scientist Yearbook, No. 7, 2000, 167.

**Nolan B**

*Nolan B*

"A note on behaviour at an isotropic singularity??"

Classical and Quantum Gravity, 18, 2001, 1127.

*Nolan B*

"Sectors of spherical homothetic collapse."

Classical and Quantum Gravity, 18, 2001, 1651.

**O'Riordan E**

*Miller JJH, O'Riordan E, Shishkin GI and Wang S*

"A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion
problem with an interior layer."

Applied Numerical Mathematics, 35(4), 2000, pp 323-337.

*Clavero C, Miller JJH, O'Riordan E and Shishkin GI*

"Numerical experiments for advection-diffusion problems in a channel
with a 180° bend."

Applied Numerical Mathematics, 118(2-3), 2001, pp 223-246.

*MacMullen H, Miller JJH, O'Riordan E and Shishkin GI *

"A second order parameter-robust overlapping Schwarz method for reaction-diffusion
problems with boundary layers."

J. Comp. Appl. Maths. 130(1-2), 2001, pp 231-244.

*Farrell PA, Miller JJH, O'Riordan E and Shishkin GI*

"Uniformly convergent finite difference methods for singularly perturbed
quasilinear differential equations."

Computational Methods in Applied Mathematics, 1(2), 2001, pp154-172.

*Farrell PA, Hegarty AF, Miller JJH, O'Riordan E and Shishkin
GI*

"On Reynolds-uniform numerical methods in parabolic boundary layer
regions for Prandtl's problems."

Proc. of 3rd International Conference FDS2000, Sept. 1-4, 2000, Palanga,
Lithuania, Finite difference schemes: theory and applications, Eds. R.
Ciegis, A. Samarskii and M. Sapagovas, IMI, Vilnius, 2000, pp 215-225.

*Matthews S, Miller JJH, O'Riordan E and Shishkin GI*

"Parameter-robust numerical methods for a system of reaction-diffusion
problems with boundary layers."

Analytical and Numerical Methods for Convection-Dominated and Singularly
Perturbed Problems, Eds. J.J.H. Miller, G.I. Shishkin and L.Vulkov Nova
Science Publishers, Inc., New York, USA, 2000, pp 219-224.

*Mac Mullen H, Miller JJH, O'Riordan E and Shishkin GI*

"Overlapping Schwarz method for convection-diffusion problems with
boundary layers."

Analytical and Numerical Methods for Convection-Dominated and Singularly
Perturbed Problems, J.J.H. Miller, G.I. Shishkin and L.Vulkov (Eds.),
Nova Science Publishers, Inc., New York, USA, 2000, pp 213-218.

*Dunne RK, O'Riordan E and Shishkin GI*

"Singularly perturbed parabolic problems on non-rectangular domains."

Proceedings of 2nd International Conference NAA'2000, Rousse, Bulgaria,
June 11-15, 2000 (L.Vulkov, J.Wasniewski and P.Yalamov eds.) / Lecture
Notes in Computer Science, Springer-Verlag, 1988, 2001, pp 265-272.

*Mac Mullen H, O'Riordan E and Shishkin GI*

"Schwarz Methods for Convection-Diffusion Problems."

Proceedings of 2nd International Conference NAA'2000, Rousse, Bulgaria,
June 11-15, 2000 (L.Vulkov, J.Wasniewski and P.Yalamov (Eds.), / Lecture
Notes in Computer Science, Springer-Verlag, 2001, pp 544-551.

*Shishkin GI, Farrell PA, Hegarty AF, Miller JJH and O'Riordan
E*

"On a necessary requirement for Re-uniform numerical methods to solve
boundary layer equations for flow past a flat plate."

Proceedings of 2nd International Conference NAA'2000, Rousse, Bulgaria,
June 11-15, 2000 (L.Vulkov, J. Wasniewski and P.Yalamov eds.) / Lecture
Notes in Computer Science, Springer-Verlag, 1988, 2001, pp 723-731.

**O'Sullivan N**

*O'Sullivan N*

"The genus and localization of finitely generated (torsion-free abelian)-by-finite
groups."

Math. Proc. Camb. Phil. Soc., 128, 2000, pp 257-268.

*O'Sullivan N*

"Genus and cancellation."

Communications in Algebra, 28, 2000, pp 3387-3400.

*O'Sullivan N*

"Localization of virtually nilpotent groups."

Proc. of Crystallographic groups and their generalisations, Contemporary
Maths series, AMS, 262, 2000, pp 253-262.

*O'Sullivan, N. *

"Localizations of free soluble groups."

Journal of Group Theory, 4, 2001, pp 89-96.