Mathematical sciences

Publications

Journals

2013

Carr, M., Bowe, B. and N Fhloinn, E 2013. "Core skills assessment to improve mathematical competency", European Journal Of Engineering Education,

2012

Gracia, J.L. and O'Riordan, E 2012. "A singularly perturbed parabolic problem with a layer in the initial condition", Applied Mathematics And Computation, Vol 219, pp498 - 510
Eugene O'Riordan 2012. "Opposing flows in a one dimensional convection-diffusion problem", Central European Journal Of Mathematics, Vol 10, pp85 - 100
Eugene O'Riordan and J. Quinn 2012. " A Singularly Perturbed Convection Diffusion Turning Point Problem with an Interior Layer", Computational Methods In Applied Mathematics, Vol 12, pp206 - 220
J.L. Gracia and Eugene O'Riordan 2012. " A singularly perturbed convection diffusion problem with a moving interior layer ", International Journal Of Numerical Analysis And Modeling, Vol 9, pp823 - 843
E. O¿ Riordan and J. Quinn 2012. "Parameter¿uniform numerical methods for some singularly perturbed nonlinear initial value problems", Numerical Algorithms, Vol 61, pp579 - 611
Istvan Gyori and David W Reynolds 2012. "Explicit asymptotic limits for a class of discrete Volterra equations", Journal Of Difference Equations And Applications, Vol 18, pp1925 - 1930
David W Reynolds 2012. "On asymptotic constancy for linear discrete summation equations", Computers And Mathematics With Applications, Vol 64, pp2335 - 2344
O'Riordan E., Quinn J 2012. "Parameter-uniform Numerical Methods for some Singularly Perturbed Nonlinear Initial Value Problems", Numerical Algorithms, Vol 61, pp579 - 611
O'Riordan E., Quinn J 2012. "A Singularly Perturbed Convection Diffusion Turning Point Problem with an Interior Layer", Computational Methods In Applied Mathematics, Vol 12, pp206 - 220
Ralf Korn, Olaf Menkens, and Mogens Steffensen 2012. "Worst-Case-Optimal Dynamic Reinsurance for Large Claims", European Actuarial Journal, Vol 2, pp21 - 48
Delaney S. Dempsey P. Duffy P. Downes T.P 2012. "A new time-dependent finite-difference method for relativistic shock acceleration", Monthly Notices Of The Royal Astronomical Society, Vol 420, pp3360 - 3367
Jones, A.C. Downes, T.P 2012. "The Kelvin-Helmholtz instability in weakly ionized plasmas - II. Multifluid effects in molecular clouds", Monthly Notices Of The Royal Astronomical Society, Vol 420, pp817 - 828
NiamhO'Sullivan 2012. "Localizations of finitely generated soluble groups", Journal Of Algebra, Vol 350, pp163 - 169

2011

Appleby J. A. D. , Gyori I. and Reynolds D. W 2011. "History-dependent decay rates for a logistic equation with infinite delay", Proceedings Of Royal Society Edinburgh, Section A, Vol 141, pp23 - 44
David Henry 2011. "Analyticity of the free surface for periodic travelling capillary-gravity water waves with vorticity, Journal of Mathematical Fluid Mechanics", Vol to appear, DOI: 10.1007/s00021-011-0056-z
David Henry 2011. "On the regularity of capillary water waves with vorticity", Comptes Rendues Acad. Sc. Paris, Vol 349, pp171 - 173
David Henry 2011. "Pressure in a deep-water Stokes wave, Journal of Mathematical Fluid Mechanics", Vol 13, pp251 - 257
Eugene O'Riordan and Jason Quinn 2011. "Nonlinear Singularly Perturbed Interior Layer Problem", Lecture Notes In Computational Science And Engineering, Vol 81, pp187 - 195
Eugene O'Riordan and Jason Quinn 2011. "Parameter-uniform numerical methods for some Linear and Nonlinear Singularly Perturbed Convection Diffusion Boundary Turning Point Problems", Bit Numerical Mathematics, Vol 51, pp317 - 337
Gracia, Jose-Luis and O'Riordan, Eugene 2011. "A singularly perturbed convection diffusion parabolic problem with an interior layer", Lecture Notes In Computational Science And Engineering, Vol 81, pp139 - 146
John A. D. Appleby and Katja Krol 2011. "Long memory in a linear stochastic Volterra equation", Journal Of Mathematical Analysis And Applications, Vol 380, pp814 - 830
John A. D. Appleby, Alexandra Rodkina, and Henri Schurz 2011. "On an exponential martingale approach to almost sure stability of Itô SDEs in R^1", Dynamics Of Continuous, Discrete & Impulsive Systems. Series A. Math Anal, Vol 18, pp471 - 484
John A. D. Appleby, David W. Reynolds and Istvan Gyori 2011. "History--dependent decay rates for a logistic equation with infinite delay", Proceedings Of Royal Society Edinburgh, Section A, Vol 141, pp23 - 44
Mac An Bhaird, C., Gill, O., Jennings, K., Ni Fhloinn, E. and O'Sullivan, C 2011. "The Irish Mathematics Support Network: its Origins and Progression", Aishe-j: The All Ireland Journal Of Teaching And Learning In Higher Education, Vol 3, pp51.1 - 51.14
Martin Forde 2011. "Large-time asymptotics for an uncorrelated stochastic volatility model", Statistics And Probability Letters, Vol 81, pp1230 - 1232
Martin Forde 2011. "A diffusion-type process with a given joint law for the terminal level and supremum at an independent exponential time ", Stochastic Processes And Applications, Vol 121, pp2802 - 2817
Martin Forde 2011. "Exact pricing and large-time asymptotics for the modified SABR model and the Brownian exponential functional ", International Journal Of Theoretical And Applied Finance, Vol 14, pp1 - 19
Martin Forde and A.Jacquier 2011. "Small-time asymptotics for an uncorrelated Local-Stochastic volatility model", Vol Appl. Math. Finance, 18,, pp517 - 535
O'Riordan, E., Quinn J 2011. "Paramete-uniform Numerical Methods for some Linear and Nonlinear Singularly Perturbed Convection Diffusion Boundary Turning Point Problems", Bit Numerical Mathematics, Vol 51, pp317 - 337
O'Riordan, Eugene and de Falco, Carlo 2011. "A parameter robust Petrov-Galerkin scheme for advection-diffusion-reaction equations", Numerical Algorithms, Vol 56, pp107 - 127
O'Riordan, Eugene and Pickett, Maria 2011. "A parameter--uniform numerical method for a singularly perturbed two parameter elliptic problem", Advances In Computational Mathematics, Vol 35, pp57 - 82
Paolo Guasoni Emmanuel Lepinette, Miklos Rasonyi 2011. "The Fundamental Theorem of Asset Pricing under Transaction Costs", Finance And Stochastics,
Paolo Guasoni, Gur Huberman, Zhenyu Wang 2011. "Performance Maximization of Actively Managed Funds", Journal Of Financial Economics, Vol 101, pp574 - 595
Paolo Guasoni, Sara Biagini 2011. "Relaxed Utility Maximization in Complete Markets", Mathematical Finance, Vol 21, pp703 - 722
Paolo Guasoni, Scott Robertson 2011. "Portfolios and Risk Premia for the Long Run", Annals Of Applied Probability,
Zhaojun Yang, Christian-Oliver Ewald, and Olaf Menkens 2011. "Pricing and Hedging of Asian Options: Quasi-Explicit Solutions via Malliavin Calculus", Mathematical Methods Of Operations Research, Vol 74, pp93 - 120
Jones, A.C. Downes, T.P 2011. "The Kelvin-Helmholtz instability in weakly ionized plasmas: ambipolar-dominated and Hall-dominated flows", Monthly Notices Of The Royal Astronomical Society, Vol 418, pp390 - 400
John A. D. Appleby and John A. Daniels 2011. "Exponential growth in the solution of an affine stochastic differential equation with an average functional and financial market bubbles", Discrete And Continuous Dynamical Systems, Series A, Vol Supplement, pp91 - 101
John A. D. Appleby, Jian Cheng and Alexandra Rodkina 2011. "Characterisation of the asymptotic behaviour of scalar linear differential equations with respect to a fading stochastic perturbation", Discrete And Continuous Dynamical Systems, Series A, Vol Supplement, pp79 - 90
Emily M Duffy and Brien C Nolan 2011. "Odd-parity perturbations of the self-similar LTB spacetime ", Classical And Quantum Gravity, Vol 28, pp105020(30) -
Downes, T.P. O'Sullivan, S 2011. "Multifluid Magnetohydrodynamic Turbulent Decay", Astrophysical Journal, Vol 730, pp12 - 23

2010

Burns, John M.; Clancy, Michael J 2010. "Recurrence relations and Dynkin diagrams", Mathematical Proceedings Of The Royal Irish Academy, Vol 110A, pp13 - 19
David Henry 2010. "Analyticity of streamlines for periodic travelling free surface capillary-gravity water waves with vorticity", Siam Journal On Mathematical Analysis, Vol 42, pp3103 - 3111
de Falco, Carlo and O'Riordan,Eugene 2010. "Interior layers in a reaction--diffusion equation with a discontinuous diffusion coefficient", International Journal Of Numerical Analysis And Modeling, Vol 7, pp444 - 461
Gyori, I and Reynolds, D. W 2010. "On Asymptotically Periodic Solutions of Linear Discrete Volterra Equations", Fasciculi Mathematici, Vol 44, pp53 - 67
J. Burzlaff and F. Navarro-Lerida 2010. "Nielsen-Olesen vortices for large Ginzburg-Landau parameter", Physical Review D, Vol 82, pp125033 - 125038
J. L. Gracia, F. J. Lisbona and Eugene O'Riordan 2010. "A coupled system of singularly perturbed parabolic reaction-diffusion equations", Advances In Computational Mathematics, Vol 32, pp43 - 62
John A. D. Appleby 2010. "On the Positivity and Zero Crossings of Solutions of Stochastic Volterra Integrodifferential Equations", International Journal Of Differential Equations, Vol Volume 2010, pp1 - 25
John A. D. Appleby 2010. "History--Dependent and Regularly Varying Convergence Rates of Solutions of Infinite Memory Volterra Integrodifferential Equations", Advances In Difference Equations, Vol Volume 2010, pp1 - 31
John A. D. Appleby and Evelyn Buckwar 2010. "A constructive comparison technique for determining the asymptotic behaviour of linear functional differential equations with unbounded delay", Differential Equations And Dynamical Systems, Vol 18, pp271 - 301
John A. D. Appleby and Markus Riedle 2010. "Stochastic Volterra differential equations in weighted spaces", Journal Of Integral Equations And Applications, Vol 22, pp1 - 17
John A. D. Appleby, Alexandra Rodkina and Henri Schurz 2010. "Non-positivity and oscillations of solutions of nonlinear stochastic difference equations with state-dependent noise", Journal Of Difference Equations And Applications, Vol 16, pp807 - 830
John A. D. Appleby, Conall Kelly and Alexandra Rodkina 2010. "On the use of adaptive meshes to counter overshoot in solutions of discretised nonlinear stochastic differential equations", International Journal Of Difference Equations, Vol 5, pp129 - 148
John A. D. Appleby, Jian Cheng, and Alexandra Rodkina 2010. "The split-step Euler--Maruyama method preserves asymptotic stability for simulated annealing problems ", Proceedings Of Dynamic Systems And Applications, Vol Volume 4, pp31 - 36
John A. D. Appleby, Malgorzata Guzowska, Alexandra Rodkina, and Conall Kelly 2010. "Preservation of positivity in the solution of discretised stochastic differential equation", Applied Mathematics And Computation, Vol 217, pp763 - 774
John A. D. Appleby, Michael J. McCarthy and Alexandra Rodkina 2010. "Exact growth rates of solutions of delay--dominated differential equations ", Proceedings Of Dynamic Systems And Applications, Vol Volume 4, pp37 - 42
John A. D. Appleby, Xuerong Mao and Huizhong Wu 2010. "On the almost sure partial maxima of solutions of affine stochastic functional differential equations", Siam Journal On Mathematical Analysis, Vol 42, pp646 - 678
John A.D. Appleby, Xuerong Mao, Conall Kelly, and Alexandra Rodkina 2010. "On the local dynamics of polynomial difference equations with fading stochastic perturbations", Dynamics Of Continuous, Discrete & Impulsive Systems. Series A. Math Anal, Vol 17, pp401 - 430
Kopteva, N and Eugene O'Riordan 2010. "Shishkin meshes in the numerical solution of singularly perturbed differential equations", International Journal Of Numerical Analysis And Modeling, Vol 7, pp393 - 415
Martin Forde and A.Jacquier 2010. "Robust approximations for pricing Asian options and volatility swaps under stochastic volatility ", Vol Appl. Math. Finance, 17,, pp241 - 259
Martin Forde, A.Jacquier and A.Mijatović 2010. "Asymptotic formulae for implied volatility in the Heston model", Proceedings Of The Royal Society A, Vol 466, pp3593 - 3620
Martin Forde, J.P.Fouque and J.Feng 2010. "Short maturity asymptotics for a fast mean-reverting Heston stochastic volatility model ", Vol SIAM J. Finan. Math., 1, pp126 - 141
Ni Fhloinn, E 2010. "The Use of Technology in Mathematics Support: An Overview of the 4th Irish Workshop on Mathematics Learning and Support Centres", Msor Connections, Vol 10, pp49 - 52
Paolo Guasoni, Miklos Rasonyi, Walter Schachermayer 2010. "The Fundamental Theorem of Asset Pricing for Continuous Processes under Small Transaction Costs", Annals Of Finance, Vol 6, pp157 - 191
Thomas Brady Aisling Kenny Colum Watt 2010. "Climbing elements in finite Coxeter groups", Electronic Journal Of Combinatorics, Vol 17
Thomas Brady Colum Watt 2010. "From permutahedron to associahedron", Proceedings Of The Edinburgh Mathematical Society, Vol (2) 53, pp299 - 310
Thomas Brady Jon McCammond 2010. "Braids, posets and orthoschemes", Algebraic & Geometric Topology, Vol 10, pp2277 - 2314
Istvan Gyori and David Reynolds 2010. "On admissibility of the resolvent of discrete Volterra equations", Journal Of Difference Equations And Applications, Vol 16, pp1393 - 1412

2009

Adrian Constantin and David Henry 2009. "Solitons and Tsunamis", Zeitschrift Feur Naturforsch, Vol 64a, pp64 - 69
David Henry 2009. "Persistence properties for a family of nonlinear partial differential equations,", Nonlinear Analysis: Theory, Methods And Applications, Vol 70, pp1565 - 1573
David Henry 2009. "Steady periodic flow induced by the Korteweg-de Vries equation, Wave Motion", Vol 46, pp403 - 411
David Henry 2009. "Infinite propagation speed for a two component Camassa-Holm equation", Discrete And Continuous Dynamical Systems, Series B, Vol 12, pp597 - 606
de Falco, C and Eugene O'Riordan 2009. "A patched mesh method for singularly perturbed reaction-diffusion equations", Lecture Notes In Computational Science And Engineering, Vol 69, pp117 - 128
de Falco, C. and Eugene O'Riordan 2009. "Singularly perturbed reaction-diffusion problem with a boundary turning point", Lecture Notes In Computational Science And Engineering, Vol 69, pp129 - 140
E. O' Riordan and M. Stynes, 2009. "Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems", Advances In Computational Mathematics, Vol 30, pp101 - 121
Farrell,P and Eugene O'Riordan 2009. "Examination of the performance of robust numerical methods for singularly perturbed quasilinear problems with interior layers", Lecture Notes In Computational Science And Engineering, Vol 69, pp129 - 140
Gracia; J. L. , Lisbona F. J. , Madaune-Tort, M. and O'Riordan, E 2009. "A system of singularly perturbed semilinear equations", Lecture Notes In Computational Science And Engineering,, pp163 - 172
John A. D. Appleby and Alexandra Rodkina 2009. "Stability of Nonlinear Stochastic Volterra Difference Equations with Respect to a Fading Perturbation", International Journal Of Difference Equations, Vol 4, pp165 - 184
John A. D. Appleby and Catherine Swords 2009. "Asymptotic behaviour of a nonlinear stochastic difference equation modelling an inefficient financial market", Vol Adv. Stud. Pure Math. 53, pp23 - 33
John A. D. Appleby, Alexandra Rodkina and Henri Schurz 2009. "On the oscillation of solutions of stochastic difference equations ", Matematicas: Ensenanza Universitaria, Vol 17, pp1 - 10
John A. D. Appleby, Alexandra Rodkina and Lih--Ing W. Roeger 2009. "Stability of a limit cycle for a planar system with stochastic perturbations", Functional Differential Equations, Vol 16, pp73 - 91
John A. D. Appleby, Alexandra Rodkina, and Gregory Berkolaiko 2009. "Nonexponential stability and Decay Rates of Nonlinear Stochastic Difference Equations with unbounded noises", Stochastics And Stochastics Reports, Vol 81, pp99 - 127
John A. D. Appleby, Alexandra Rodkina, and Markus Riedle 2009. "On Asymptotic Stability of linear stochastic Volterra difference equations with respect to a fading perturbation", Vol Adv. Stud. Pure Math. 53, pp271 - 282
John A. D. Appleby, Conall Kelly, Xuerong Mao, and Alexandra Rodkina 2009. "Positivity and stabilization for nonlinear stochastic delay differential equations", Stochastics And Stochastics Reports, Vol 81, pp29 - 54
John A. D. Appleby, James Gleeson, and Alexandra Rodkina 2009. "Stability under fading stochastic perturbations of globally stable nonlinear differential equations", Applicable Analysis, Vol 88, pp579 - 603
John A. D. Appleby, Michael J. McCarthy and Alexandra Rodkina 2009. "Growth rates of delay-differential equations and uniform Euler schemes", Vol Difference Equations and Applications, pp117 - 124
John A. D. Appleby, Xuerong Mao, and Markus Riedle 2009. "Geometric Brownian motion with delay: mean square characterisation", Proceedings Of The American Mathematical Society, Vol 137, pp339 - 348
John A.D. Appleby and Huizhong Wu 2009. "Solutions of stochastic differential equations obeying the law of the iterated logarithm with applications to financial markets", Electronic Journal Of Probability, Vol 14, pp912 - 959
John A.D. Appleby, Terry Lynch, Xuerong Mao, and Huizhong Wu 2009. "The Size of the Largest Fluctuations in a Market Model with Markovian Switching", Communications In Applied Analysis, Vol 13, pp135 - 166
Martin Forde and A.Jacquier 2009. "Small-time asymptotics for implied volatility under the Heston model ", International Journal Of Theoretical And Applied Finance, Vol 12, pp861 - 876
Ni Fhloinn, E. and Perkin, G 2009. "Novel Approaches to Refresher Courses in Basic Mathematics", Msor Connections, Vol 9, pp3 - 6
O'Riordan, Eugene; Stynes, J. and Stynes. M 2009. "An iterative numerical algorithm for a strongly coupled system of singularly perturbed convection-diffusion problems", Lecture Notes In Computer Science, Vol 5434, pp104 - 115
P. A. Farrell, E. O' Riordan and G. I. Shishkin 2009. "A class of singularly perturbed quasilinear differential equations with interior layers", Mathematics Of Computation, Vol 78, pp103 - 127
R. K. Dunne, E. O' Riordan and G. I. Shishkin 2009. "Fitted mesh numerical methods for singularly perturbed elliptic problems with mixed derivatives", Ima Journal Of Numerical Analysis (oxford University Pr, Vol 29, pp712 - 730
István Gyori and David W. Reynolds 2009. "Sharp conditions for boundedness in linear discrete Volterra equations", Journal Of Difference Equations And Applications, Vol 15, pp1151 - 1164
Cabrit, S. Bocchi, M. Camenzind, M. Ciardi, A. de Colle, F. Downes, T. Ferreira, J. Frank, A. Gracia, J. Lebedev, S. Marrochino, A. Massaglia, S. Matsakos, T. O'Sullivan, J. Stehlé, C. Stute, M. Suzuki-Vidal, F. Tesileanu, O. Tsinganos, K. Zanni, C 2009. "Dynamics of magnetized YSO jets: Examples of results from the JETSET network", Revista Mexicana De Astronomia Y Astrofisica, Vol 36, pp171 - 178
Downes, T.P. O'Sullivan, S 2009. "Non-ideal MHD turbulent decay in molecular clouds", Astrophysical Journal, Vol 701, pp1258 - 1268
Tomohiro Harada, Ken-ichi Nakao, Brien C. Nolan 2009. "Einstein-Rosen waves and the self-similarity hypothesis in cylindrical symmetry ", Physical Review D, Vol 80, pp024025(15) -
Marc Casals, Sam Dolan, Adrian C. Ottewill, and Barry Wardell 2009. "Padé approximants of the Green function in spherically symmetric spacetimes", Physical Review D, Vol 79, pp124044(17) -
Marc Casals, Sam Dolan, Adrian Ottewill and Barry Wardell 2009. "Self-force calculations with matched expansions and quasinormal mode sums", Physical Review D, Vol 79, pp124043(37) -
Mullen, M. Brennan, C. Downes, T.P 2009. "A Hybridized Forward Backward Method Applied to Electromagnetic Wave Scattering Problems", Ieee Transactions On Antennas And Propagation, Vol 57, pp1846 - 1850
Thomas J Waters and Brien C Nolan 2009. "Gauge invariant perturbations of self-similar Lemaître-Tolman-Bondi spacetime: Even parity modes with l≥2", Physical Review D, Vol 79, pp048002(13) -

2008

Appleby, John A. D. Siobhán Devin and David W. Reynolds 2008. "Characterisation of exponential convergence to nonequilibrium limits for stochastic Volterra equations", Journal Of Applied Mathematics And Stochastic Analysis, Vol 2008, pp27pp -
Appleby, John A. D. and David W. Reynolds 2008. "Decay rates of solutions of linear stochastic Volterra equations", Electronic Journal Of Probability, Vol 30, pp922 - 943
David Henry 2008. "Compactly supported solutions of a family of nonlinear partial differential equations,", Dynamics Of Continuous, Discrete & Impulsive Systems. Series A. Math Anal, Vol 15, pp145 - 150
David Henry 2008. "On Gerstner's water wave, Journal of Nonlinear Mathematical Physics,", Vol 15, pp87 - 95
David Henry 2008. "Persistence properties for the Degasperis-Procesi equation, Journal of Hyperbolic Differential Equations", Vol 5, pp99 - 111
David Henry 2008. "On the deep-water Stokes wave flow,", International Mathematics Research Notices, Vol 2008, pp1 - 7
E. O' Riordan, J. Stynes and M. Stynes 2008. "A parameter-uniform finite difference method for a coupled system of convection-diffusion two-point boundary value problems", Numerical Mathematics: Theory, Methods And Applications, Vol 1, pp176 - 197
Eugene O'Riordan and G. I. Shishkin 2008. "Parameter uniform numerical methods for singularly perturbed elliptic problems with parabolic boundary layers", Applied Numerical Mathematics (elsevier), Vol 58, pp1761 - 1772
J. Burzlaff, E. DeLoughry and P. Lynch 2008. "Generation of zonal flow by resonant Rossby-Haurwitz wave interactions", Geophysical And Astrophysical Fluid Dynamics, Vol 102, pp165 - 177
John A. D. Appleby 2008. "Convergence rates of the solution of a Volterra-type stochastic differential equations to a non-equilibrium limit", Elec Jnl Qualitative Theory Of Differential Equations, Vol Proc. 8th Coll. QTDE, pp1 - 30
John A. D. Appleby and David Reynolds 2008. "Decay rates of solutions of linear stochastic Volterra equations", Electronic Journal Of Probability, Vol 13, pp922 - 943
John A. D. Appleby and Huizhong Wu 2008. "Exponential growth and Gaussian--like fluctuations of solutions of stochastic differential equations with maximum functionals", Journal Of Physics : Conference Series, Vol 138, pp1 - 25
John A. D. Appleby, Alexandra Rodkina, and Catherine Swords 2008. "Fat Tails and Bubbles in a Discrete Time Model of an Inefficient Financial Market", Proceedings Of Dynamic Systems And Applications, Vol 5, pp35 - 45
John A. D. Appleby, Dana Mackey, and Alexandra Rodkina 2008. "Almost sure polynomial asymptotic stability of stochastic difference equations, Journal of Mathematical Sciences", Vol 149, pp1629 - 1647
John A. D. Appleby, Gregory Berkoliako and Alexandra Rodkina 2008. "On Local Stability for a Nonlinear Difference Equation with a Non-Hyperbolic Equilibrium and Fading Stochastic Perturbations", Journal Of Difference Equations And Applications, Vol 14, pp923 - 951
John A. D. Appleby, Siobhan Devin, David Reynolds 2008. "Characterisation of exponential convergence to non--equilibrium limits for stochastic Volterra equations", Journal Of Applied Mathematics And Stochastic Analysis, Vol Volume 2008, pp1 - 27
John A. D. Appleby, Xuerong Mao and Alexandra Rodkina 2008. "Stabilization and destabilization of nonlinear differential equations by noise", Ieee Transactions On Automatic Control, Vol 53, pp683 - 691
John A.D. Appleby, Alexandra Rodkina, and James Gleeson 2008. "Asymptotic constancy and stability in nonautonomous stochastic differential equations", Cubo: Revista De Matematica, Vol 10, pp145 - 160
Paolo Guasoni, Scott Robertson 2008. "Optimal Importance Sampling with Explicit Formulas in Continuous Time", Finance And Stochastics, Vol 12, pp1 - 19
Paolo Guasoni, Miklos Rasonyi, Walter Schachermayer 2008. "Consistent Price Systems and Face-Lifting Pricing under Transaction Costs", Annals Of Applied Probability, Vol 18, pp491 - 520
Thomas Brady Colum Watt 2008. "Non-crossing partition lattices in finite real reflection groups", Transactions Of The American Mathematical Society, Vol 360, pp1983 - 2005
Thomas Brady Jose Burillo Sean Cleary Melanie Stein 2008. "Pure braid subgroups of braided Thompson's groups", Publications Matematiques, Vol 52
Y. Brihaye, J. Burzlaff and D.H. Tchrakian 2008. "Asymptotic analysis of the Skyrme-like monopole", Physical Review D, Vol 77, pp107701 - 107705
Mohsen Shadmehri, Turlough P. Downes 2008. "The role of Kelvin-Helmholtz instability in dusty and partially ionized outflows", Monthly Notices Of The Royal Astronomical Society, Vol 387, pp1318 - 1322
Shadmehri, M. Downes, T.P 2008. "The role of Kelvin-Helmholtz instability in dusty and partially ionized outflows", Monthly Notices Of The Royal Astronomical Society, Vol 387, pp1318 - 1322
Fazeleh Khajenabi, Mohsen Shadmehri, Sami Dib 2008. "Thin accretion disc with a corona in a central magnetic field ", Astrophysics And Space Science, Vol 314, pp251 - 260
Mohsen Shadmehri 2008. "Dynamics of charged dust particles in protoplanetary discs", Astrophysics And Space Science, Vol 314
Ferrand, G. Downes, T. Marcowith, A 2008. "MARCOS, a numerical tool for the simulation of multiple time-dependent non-linear diffusive shock acceleration", Monthly Notices Of The Royal Astronomical Society, Vol 383, pp41 - 56

2007

Brady T Athanasiadis C Watt C 2007. "Shellability of noncrossing partition lattices", Proceedings Of The American Mathematical Society, Vol 135, pp939 - 949
Burns, John M.; Clancy, Michael J 2007. "Recurrence relations, Dynkin diagrams and Plücker formulae", Glasgow Mathematical Journal, Vol 49, pp53 - 59
David Henry 2007. "Particle trajectories in linear periodic capillary and capillary-gravity deep-water waves, Journal of Nonlinear Mathematical Physics,", Vol 14, pp1 - 7
David Henry 2007. "Particle trajectories in linear periodic capillary and capillary-gravity water waves, Philosophical Transactions of the Royal Society A", Vol 365, pp2241 - 2251
E. O'Riordan and G. I. Shishkin, 2007. "A technique to prove parameter--uniform convergence for a singularly perturbed convection diffusion equation", Journal Of Computational And Applied Mathematics, Vol 206, pp136 - 145
J. A. D Appleby, S. Devin and D. W. Reynolds 2007. "Almost sure convergence of solutions of linear stochastic Volterra equations to nonequilibrium limits", Journal Of Integral Equations And Applications, Vol 19, pp405 - 437
John A. D. Appleby and Alexandra Rodkina 2007. "On the Oscillation of Solutions of Stochastic Difference Equations with State-Independent Perturbations", International Journal Of Difference Equations, Vol 2, pp139 - 164
John A. D. Appleby and Conall Kelly 2007. "Spurious oscillation in an Euler discretisation of linear stochastic differential equations with vanishing delay", Journal Of Computational And Applied Mathematics, Vol 205, pp923 - 935
John A. D. Appleby, Istvan Gyori, and David W. Reynolds 2007. "On exact rates of growth and decay of solutions of a linear Volterra equation in linear viscoelasticity", Note Di Matematica, Vol 27, pp215 - 228
John A. D. Appleby, Malgorzata Guzowska, and Alexandra Rodkina 2007. "On polynomial rate of decay and growth of solution to nonlinear difference equations", Revista De Matematica: Teoria Y Aplicaciones, Vol 14, pp33 - 44
John A. D. Appleby, Siobhan Devin and David W. Reynolds 2007. "Almost sure convergence of solutions of linear stochastic Volterra equations to nonequilibrium limits", Journal Of Integral Equations And Applications, Vol 19, pp405 - 437
R. K. Dunne, E. O' Riordan and M. M. Turner 2007. "A numerical method for a singular perturbation problem arising in the modelling of plasma sheaths", International Journal Of Computing Science And Mathematics, Vol 1, pp322 - 342
Reynolds, David W., John A. D. Appleby and István Gyõri 2007. "On exact rates of growth and decay of solutions of a linear Volterra equation in linear viscoelasticity", Note Di Matematica, Vol 27, pp215 - 228
Brien C. Nolan and Ujjal Debnath 2007. "Is the shell-focussing singularity of Szekeres spacetime visible?", Physical Review D, Vol 76, pp104046(10) -
Gómez, G., Vázquez-Semadeni, E., Shadmehri, M., Ballesteros-Paredes, J 2007. "Formation and Collapse of Quiescent Cloud Cores Induced by Dynamic Compressions", Astrophysical Journal, Vol 669, pp1042 - 1049
Mohsen Shadmehri, Turlough P. Downes 2007. "Kelvin Helmholtz instability in a weakly ionized layer", Astrophysics And Space Science, Vol 312, pp79 - 84
Shadmehri, M. Downes, T.P 2007. "Kelvin Helmholtz instability in a weakly ionized layer", Astrophysics And Space Science, Vol 312, pp79 - 84
Dib, S., Kim, J., Shadmehri, M 2007. "The origin of the Arches stellar cluster mass function", Monthly Notices Of The Royal Astronomical Society, Vol 381, ppL40 - L44
Downes, T.P., Cabrit, S 2007. "Jet-driven molecular outflows from Class 0 sources: younger and stronger than they seem?", Astronomy & Astrophysics Supplement Series (1980-2000), Vol 471, pp873 - 884
Khajenabi, F., Shadmehri, M 2007. "Gravitational instability of discs with dissipative coronae around supermassive black holes", Monthly Notices Of The Royal Astronomical Society, Vol 377, pp1689 - 1695
Dib, S., Kim, J., Vázquez-Semadeni, E., Burkert, A., Shadmehri, M 2007. "The Virial Balance of Clumps and Cores in Molecular Clouds", Astrophysical Journal, Vol 661, pp262 - 284
O'Sullivan, S., Downes, T.P 2007. "A three-dimensional numerical method for modelling weakly ionized plasmas", Monthly Notices Of The Royal Astronomical Society, Vol 376, pp1648 - 1658
Dr Brien Nolan 2007. "Odd-parity perturbations of self-similar Vaidya spacetime", Classical And Quantum Gravity, Vol 24, pp177 - 200
Dr Niamh Eleanor O'Sullivan 2007. "Decompositions of finitely generated nilpotent groups of class 2", Archives Der Mathematik, Vol 88, pp1 - 11

2006

Appleby, J, S. Devin and D. W. Reynolds 2006. "Mean square convergence of solutions of linear stochastic Volterra equations to non-equilibrium limits", Dynamics Of Continuous, Discrete & Impulsive Systems. Series A. Math Anal, Vol 13, suppl, pp515 - 534
Athanasiadis, Christos A.; Brady, Thomas; McCammond, Jon; Watt, Colum Int. Math. Res. Not. 2006, Art. ID 69705, 2006. "$h$-vectors of generalized associahedra and noncrossing partitions", International Mathematics Research Notices,, pp28 - 28
Brady T Watt C 2006. "On products of Euclidean reflections", American Mathematical Monthly, Vol 113, pp826 - 829
David Henry 2006. "The trajectories of particles in deep-water Stokes waves,", International Mathematics Research Notices, Vol 2006, pp1 - 13
David Henry and Octavian Mustafa 2006. "Existence of solutions for a class of edge wave equations", Discrete And Continuous Dynamical Systems, Series B, Vol 6, pp1113 - 1119
Dr Brien Nolan 2006. "Bounds for scalar waves on self-similar naked-singularity backgrounds ", Classical And Quantum Gravity,, pp4523 - 4538
E. O'Riordan, M.L. Pickett and G.I. Shishkin 2006. "Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems,", Mathematics Of Computation, Vol 75, pp1135 - 1154
E. O'Riordan, M.L. Pickett and G.I. Shishkin, 2006. "Numerical methods for singularly perturbed elliptic problems containing two perturbation parameters", Mathematical Modelling And Analysis, Vol 11, pp199 - 212
J.L. Gracia, E.O¿Riordan and M.L. Pickett, 2006. "A parameter robust second order numerical method for a singularly perturbed two--parameter problem", Applied Numerical Mathematics (elsevier), Vol 56, pp962 - 980
J.L. Gracia, E.O¿Riordan, 2006. "A defect-correction parameter-uniform numerical method for a singularly perturbed convection-diffusion problem in one dimension", Numerical Algorithms, Vol 41, pp359 - 385
John A. D. Appleby and Aoife Flynn 2006. "Stabilization of Volterra equations by noise ", Journal Of Applied Mathematics And Stochastic Analysis, Vol 2006, pp1 - 29
John A. D. Appleby and Conall Kelly 2006. "Oscillation of solutions of a nonuniform discretisation of linear stochastic differential equations with vanishing delay", Dynamics Of Continuous, Discrete & Impulsive Systems. Series A. Math Anal, Vol 13B, pp535 - 550
John A. D. Appleby and Conall Kelly 2006. "Prevention of Explosions in Solutions of Functional Differential Equations by Noise Perturbation ", Dynamic Systems And Applications, Vol 15, pp227 - 240
John A. D. Appleby and Markus Riedle 2006. "Almost sure asymptotic stability of stochastic Volterra integro-differential equations with fading perturbations", Stochastic Analysis And Its Applications, Vol 24, pp813 - 826
John A. D. Appleby, Alexandra Rodkina, and Henri Schurz 2006. "Pathwise non-exponential decay rates of solutions of scalar nonlinear stochastic differential equations ", Discrete And Continuous Dynamical Systems, Series B, Vol 6, pp667 - 696
John A. D. Appleby, David W. Reynolds, and Siobhan Devin 2006. "Mean square convergence of solutions of linear Ito Volterra equations to non-equilibrium limits", Dynamics Of Continuous, Discrete & Impulsive Systems. Series A. Math Anal, Vol 13B, pp515 - 534
John A. D. Appleby, Istvan Gyori, and David W. Reynolds 2006. "On exact convergence rates of solutions of linear systems of Volterra difference equations", Journal Of Difference Equations And Applications, Vol 12, pp1257 - 1275
John A. D. Appleby, Mauro Fabrizio, Barbara Lazzari and David W. Reynolds 2006. "On exponential asympototic stability in linear viscoelasticity", Mathematical Models And Methods In Applied Sciences, Vol 16, pp1677 - 1694
John A. D. Appleby, Xuerong Mao, and Alexandra Rodkina 2006. "On stochastic stabilization of difference equations ", Discrete And Continuous Dynamical Systems, Series A, Vol 15, pp843 - 857
John A.D.Appleby, Istvan Gyori, and David Reynolds 2006. "On exact rates of decay of solutions of linear systems of Volterra equations with delay", Journal Of Mathematical Analysis And Applications, Vol 320, pp56 - 77
Paolo Guasoni 2006. "No Arbitrage with Transaction Costs, with Fractional Brownian Motion and Beyond", Mathematical Finance, Vol 16, pp569 - 582
Paolo Guasoni 2006. "Asymmetric Information in Fads Models", Finance And Stochastics, Vol 10, pp159 - 177
Appleby, J. A. D., I. Gyori and D. W. Reynolds 2006. "On exact convergence rates for solutions of linear systems of Volterra difference equations", Journal Of Difference Equations And Applications, Vol 12, pp1257 - 1275
O'Sullivan, S., Downes, T.P 2006. "Numerical modeling of weakly ionized plasmas", Vol 359, pp178 -
Appleby, J. A. D, M. Fabrizio, B. Lazzari and D. W. Reynolds 2006. "On exponential asymptotic stability in linear viscoelasticity", Mathematical Models And Methods In Applied Sciences, Vol 16, pp1677 - 1694
Appleby, J. A. D., I. Gyori and D. W. Reynolds 2006. "On exact rates of decay of solutions of linear systems of Volterra equations with delay", Journal Of Mathematical Analysis And Applications, Vol 320, pp56 - 77
Olaf Menkens 2006. "Crash Hedging Strategies and Worst-Case Scenario Portfolio Optimization", International Journal Of Theoretical And Applied Finance, Vol 9, pp597 - 618
O'Sullivan, S., Downes, T.P 2006. "An explicit scheme for multifluid magnetohydrodynamics", Monthly Notices Of The Royal Astronomical Society, Vol 366, pp1329 - 1336
Shadmehri, Khajenabi 2006. "A Class of Self-Gravitating, Magnetized Accretion Disks", Astrophysical Journal, Vol 637, pp439 - 445

2005

Appleby, J. A. D., S. Devin and D. W. Reynolds 2005. "On the exponential convergence to a limit of solutions of perturbed linear Volterra equations", Elec Jnl Qualitative Theory Of Differential Equations, Vol 9, pp1 - 16
Brien C. Nolan, Thomas J. Waters 2005. "Even perturbations of self-similar Vaidya space-time", Physical Review D,, pp104030 -
Burns, John M.; Clancy, Michael J 2005. "Smyth surfaces and the drehriss", Proceedings Of The Edinburgh Mathematical Society, Vol 2, pp549 - 555
C. Clavero, J.L. Gracia and E.O¿Riordan, 2005. "A parameter robust numerical method for a two dimensional reaction-diffusion problem", Mathematics Of Computation, Vol 74, pp1743 - 1758
David Henry 2005. "Infinite propagation speed for the Degasperis-Procesi equation", Journal Of Mathematical Analysis And Applications, Vol 311, pp755 - 759
David Henry 2005. "Compactly supported solutions of the Camassa-Holm equation, Journal of Nonlinear Mathematical Physics", Vol 12, pp342 - 347
Dr Brien Nolan, Raul Vera 2005. " ", Classical And Quantum Gravity,, pp4031 - 4050
John A. D. Appleby 2005. "Decay and growth rates of solutions of scalar stochastic delay differential equations with unbounded delay and state dependent noise", Stochastics And Dynamics, Vol 5, pp133 - 147
John A. D. Appleby 2005. "Exponential asymptotic stability of nonlinear Ito-Volterra equations with damped stochastic perturbations", Functional Differential Equations, Vol 12, pp7 - 34
John A. D. Appleby and Alexandra Rodkina 2005. "On the asymptotic stability of polynomial stochastic delay differential equations ", Functional Differential Equations, Vol 12, pp35 - 66
John A. D. Appleby and Alexandra Rodkina 2005. "Rates of decay and growth of solutions to linear stochastic differential equations with state-independent perturbations", Stochastics And Stochastics Reports, Vol 77, pp271 - 295
John A. D. Appleby and Xuerong Mao 2005. "Stochastic Stabilisation of Functional Differential Equations", Systems And Control Letters, Vol 54, pp1069 - 1081
John A. D. Appleby, Siobhan Devin and David Reynolds 2005. "Exponential convergence to a nontrivial limit in linear Volterra integrodifferential equations ", Elec Jnl Qualitative Theory Of Differential Equations, Vol 2005, pp1 - 16
John A. D. Appleby, Xuerong Mao, and Alexandra Rodkina 2005. "Pathwise superexponential decay rates of solutions of autonomous stochastic differential equations", Stochastics And Stochastics Reports, Vol 77, pp241 - 270
M. J. O Reilly and E. O¿Riordan 2005. "A Shishkin mesh for a singularly perturbed Riccati equation", Journal Of Computational And Applied Mathematics, Vol 182, pp372 - 387
Ni Fhloinn, E. and Purser, M 2005. "Applications of Partial Hiding in RSA", Lecture Notes In Informatics, Vol 74, pp86 - 97
P. A. Farrell, E. O' Riordan and G. I. Shishkin, 2005. "A class of singularly perturbed semilinear differential equations with interior layers", Mathematics Of Computation, Vol 74, pp1759 - 1776
Ralf Korn, Olaf Menkens 2005. "Worst-Case Scenario Portfolio Optimization: A New Stochastic Control Approach", Mathematical Methods Of Operations Research, Vol 62, pp123 - 140
Shadmehri, Khajenabi 2005. "Self-similar structure of magnetized radiation-dominated accretion discs", Monthly Notices Of The Royal Astronomical Society, Vol 361, pp719 - 724
John A.D. Appleby and Evelyn Buckwar 2005. "Noise induced oscillation in solutions of stochastic delay differential equations ", Dynamic Systems And Applications, Vol 14, pp175 - 197
Keegan, R., Downes, T.P 2005. "Long-duration simulations of the evolution of jet-driven molecular outflows", Astronomy & Astrophysics Supplement Series (1980-2000), Vol 437, pp517 - 524
Mohsen Shadmehri 2005. "Gravitational collapse of polytropic, magnetized, filamentary clouds", Monthly Notices Of The Royal Astronomical Society, Vol 356, pp1429 - 1434
Vázquez-Semadeni, Kim, Shadmehri, Ballesteros-Paredes 2005. "The Lifetimes and Evolution of Molecular Cloud Cores", Astrophysical Journal, Vol 618, pp344 - 359

2004

P. A. Farrell, A. F. Hegarty, J.J.H. Miller, E. O' Riordan and G. I. Shishkin, 2004. "Global maximum norm parameter¿uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient ", Mathematical And Computer Modelling, Vol 40, pp1375 - 1392
A. D. Wood, E. O¿Riordan, N. Sweeney and R. B. Paris, 2004. "Marginal states of the resistive tearing mode with flow in cylindrical geometry,", Journal Of Plasma Physics, Vol 70, pp155 - 161
Appleby, J. A. D, I. Gyori and D. W. Reynolds 2004. "Subexponential Solutions of Scalar Linear Integro-Differential Equations with Delay", Functional Differential Equations, Vol 11, pp11 - 18
Appleby, J. A. D., and D. W. Reynolds 2004. "On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations", Journal Of Integral Equations And Applications, Vol 16, pp221 - 240
Appleby, J. A. D., and D. W. Reynolds 2004. "On the non-exponential decay to equilibrium of solutions of nonlinear scalar Volterra integro-differential equations", Elec Jnl Qualitative Theory Of Differential Equations, Vol Proc. 7'th Coll. Qualitative Theory of Diff. Equ., No. 3., pp1 - 14
Appleby, J.A.D. and D. W. Reynolds 2004. "Subexponential solutions of linear integrodifferential equations", Proceedings Of Dynamic Systems And Applications, Vol IV, pp488 - 494
B. C. Nolan, L. V. Nolan 2004. "On isotropic cylindrically symmetric stellar models", Classical And Quantum Gravity,, pp3693 - 3704
Brien C. Nolan 2004. "Physical interpretation of gauge invariant perturbations of spherically symmetric space-times", Physical Review D, Vol 044004
E. O' Riordan and G. I. Shishkin 2004. "Singularly perturbed parabolic problems with non-smooth data", Journal Of Computational And Applied Mathematics, Vol 166, pp233 - 245
Filipe C. Mena, Brien C. Nolan, Reza Tavakol 2004. "The role of anisotropy and inhomogeneity in Lemaitre-Tolman-Bondi collapse", Physical Review D, Vol 70
John A. D. Appleby 2004. "Almost sure subexponential decay rates of scalar Ito-Volterra equations ", Elec Jnl Qualitative Theory Of Differential Equations, Vol Proc. 7th Coll. QTDE, pp1 - 32
John A. D. Appleby 2004. "Subexponential solutions of scalar linear Ito-Volterra equations with damped stochastic perturbations ", Functional Differential Equations, Vol 11, pp5 - 10
John A. D. Appleby and Conall Kelly 2004. "Oscillation and non-oscillation in solutions of nonlinear stochastic delay differential equations", Electronic Communications In Probability, Vol 9, pp106 - 118
John A. D. Appleby and Dana Mackey 2004. "Polynomial asymptotic stability of damped stochastic differential equations", Elec Jnl Qualitative Theory Of Differential Equations, Vol Proc. 7th Coll. QTDE, pp1 - 33
John A. D. Appleby and David W. Reynolds 2004. "On necessary and sufficient conditions for exponential stability in linear Volterra integro--differential equations ", Journal Of Integral Equations And Applications, Vol 16, pp221 - 240
John A. D. Appleby and David W. Reynolds 2004. "Subexponential solutions of linear integrodifferential equations", Proceedings Of Dynamic Systems And Applications, Vol 4, pp488 - 494
John A. D. Appleby and David W. Reynolds 2004. "On the nonexponential decay to equilibrium of solutions of nonlinear scalar Volterra integro-differential equations ", Elec Jnl Qualitative Theory Of Differential Equations, Vol Proc. 7th. Coll. QTDE, pp1 - 14
John A. D. Appleby, Istvan Gyori, and David W. Reynolds, 2004. "Subexponential solutions of linear scalar integrodifferential equations with a delay ", Functional Differential Equations, Vol 11, pp11 - 18
John A.D. Appleby and Conall Kelly 2004. "Asymptotic and oscillatory properties of linear stochastic delay differential equations with vanishing delay", Functional Differential Equations, Vol 11, pp235 - 265
P. A. Farrell, A. F. Hegarty, J. J. H. Miller, E. O' Riordan and G. I. Shishkin, 2004. "Singularly perturbed convection diffusion problems with boundary and weak interior layers", Journal Of Computational And Applied Mathematics, Vol 166, pp133 - 151
P. A. Farrell, A. F. Hegarty, J. J. H. Miller, E. O' Riordan and G. I. Shishkin, , 2004. "Singularly perturbed convection diffusion problems with boundary and weak interior layers", Journal Of Computational And Applied Mathematics, Vol 166, pp131 - 151
S. Bellew and E. O¿ Riordan, 2004. "A parameter-robust numerical method for a system of two singularly perturbed convection-diffusion equations", Applied Numerical Mathematics (elsevier), Vol 51, pp171 - 186
Vázquez-Semadeni,Kim,Shadmehri,Ballesteros-Paredes 2004. "The Lifetimes of Molecular Cloud Cores: What is the Role of the Magnetic Field?", Revista Mexicana De Astronomia Y Astrofisica, Vol 22, pp22 - 25
Mohsen Shadmehri 2004. "Variability in the stellar initial mass function at high mass: coalescence models for starburst clusters", Monthly Notices Of The Royal Astronomical Society, Vol 354, pp375 - 377
Mohsen Shadmehri 2004. "A model for quasi-spherical magnetized accretion flow", Astronomy And Astrophysics, Vol 424, pp379 - 387
Mohsen Shadmehri 2004. "Time-dependent Evolution of Quasi-spherical, Self-gravitating Accretion Flow", Astrophysical Journal, Vol 612, pp1000 - 1005
van der Swaluw, E. Downes, T.P. Keegan, R 2004. "An evolutionary model for pulsar-driven supernova remnants - a hydrodynamical model", Astronomy & Astrophysics Supplement Series (1980-2000), Vol 420, pp937 - 944
Coffey, D. Downes, T.P. Ray, T.P 2004. "The evolution and simulation of the XZ Tauri outburst", Astronomy & Astrophysics Supplement Series (1980-2000), Vol 419, pp593 - 598

2003

Appleby, J. A. D., and D. W. Reynolds 2003. "Non-exponential Stability of Scalar Stochastic Volterra Equations", Statistics And Probability Letters, Vol 62, pp335 - 343
Brien C. Nolan 2003. "Dynamical extensions for shell-crossing singularities", Classical And Quantum Gravity, Vol 20, pp575 - 586
E. O' Riordan, M. L. Pickett and G. I. Shishkin, 2003. "Singularly perturbed problems modelling reaction-convection-diffusion processes", Computational Methods In Applied Mathematics, Vol 3, pp424 - 442
John A. D. Appleby 2003. "p-th-mean integrability and almost sure asymptotic stability of Ito-Volterra equations. ", Journal Of Integral Equations And Applications, Vol 15, pp321 - 341
John A. D. Appleby and Alan Freeman 2003. "Exponential asymptotic stability of linear Ito-Volterra equations with damped stochastic perturbations ", Electronic Journal Of Probability, Vol 8, pp1 - 22
John A. D. Appleby and David W. Reynolds 2003. "Non-exponential stability of scalar stochastic Volterra equations ", Statistics And Probability Letters, Vol 62, pp335 - 343
John A. D. Appleby and David W. Reynolds 2003. "Corrigendum "Subexponential solutions of linear Volterra integro-differential equations and transient renewal equations"", Proceedings Of Royal Society Edinburgh, Section A, Vol 133, pp1421 - 1421
P. A. Farrell, A. F. Hegarty, J. J. H. Miller, E. O' Riordan and G. I. Shishkin, 2003. "Numerical techniques for flow problems with singularities,", International Journal For Numerical Methods In Fluids, Vol 43, pp915 - 936
Prof Emmanuel Buffet 2003. "On the time of the maximum of Brownian motion with drift ", Journal Of Applied Mathematics And Stochastic Analysis, Vol 16, pp201 - 207
R. K. Dunne, E. O' Riordan and G. I. Shishkin, 2003. "A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point", Computational Methods In Applied Mathematics, Vol 3, pp361 - 372
Downes, T.P., Cabrit, S 2003. "The mass-velocity and intensity-velocity relations in jet-driven molecular outflows", Astronomy & Astrophysics Supplement Series (1980-2000), Vol 403, pp135 - 140
Elmegreen, Shadmehri 2003. "Constraints on star formation from the close packing of protostars in clusters", Monthly Notices Of The Royal Astronomical Society, Vol 338, pp817 - 823
van der Swaluw, E., Achterberg, A., Gallant, Y.A., Downes, T.P., Keppens, R 2003. "Interaction of high-velocity pulsars with supernova remnant shells", Astronomy & Astrophysics Supplement Series (1980-2000), Vol 397, pp913 - 920

2002

Brady, Thomas; Watt, Colum 2002. "A partial order on the orthogonal group", Communications In Algebra, Vol 30, pp3749 - 3754
Brien C Nolan, Thomas J Waters 2002. "Cauchy horizon stability in self-similar collapse: scalar radiation", Physical Review D, Vol 66
Brien C. Nolan, Filipe C. Mena Cla 2002. "Geometry and topology of singularities in spherical dust collapse", Classical And Quantum Gravity,, pp2587 - 2606
Brien C. Nolan, Filipe C. Mena, Sergio M. C. V. Goncalves 2002. "``Strength and genericity of singularities in Tolman-Bondi-de Sitter collapse'' and a note on central singularities", Physics Letters A, Vol A294, pp122 - 125
Burns, John M.; Clancy, Michael J 2002. "Weight sum formulae in Lie algebra representations", Journal Of Algebra, Vol 257, pp01 - 12
Dr Brien Nolan 2002. "Naked singularities in cylindrical collapse of counter-rotating dust shells", Physical Review D, Vol 65
H. MacMullen, E. O'Riordan and G.I. Shishkin, 2002. "The convergence of classical Schwarz methods applied to convection-diffusion problems with regular boundary layers,", Applied Numerical Mathematics (elsevier), Vol 43, pp297 - 313
John A. D. Appleby and David W. Reynolds 2002. "On the Non-Exponential Convergence of Asymptotically Stable Solutions of Linear Scalar Volterra Integro-Differential Equations ", Journal Of Integral Equations And Applications, Vol 14, pp109 - 118
P. A. Farrell, A. F. Hegarty, J. J. H. Miller, E. O' Riordan and G. I. Shishkin 2002. "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", Applied Numerical Mathematics (elsevier), Vol 40/1-4, pp143 - 149
S. Matthews, E. O' Riordan and G. I. Shishkin, 2002. "A numerical method for a system of singularly perturbed reaction-diffusion problems", Journal Of Computational And Applied Mathematics, Vol 145, pp151 - 166
Shadmehri, Ghanbari 2002. "Cooling Flows of Self-gravitating, Rotating, Viscous Systems", Astrophysical Journal, Vol 574, pp198 - 204
Thomas Brady Colum Watt 2002. "$K(pi,1)$'s for Artin groups of finite type", Geometriae Dedicata, Vol 94, pp225 - 250
Y. Brihaye, J. Burzlaff, V. Paturyan and D.H. Tchrakian 2002. "The 1-soliton in the SO(3) gauged Skyrme model with mass term", Nonlinearity, Vol 15, pp385 - 292
John A. D. Appleby 2002. "Almost sure stability of linear Ito-Volterra equations with damped stochastic perturbations ", Electronic Communications In Probability, Vol 7, pp223 - 234
Appleby, J. A. D., and D. W. Reynolds 2002. "On the non--exponential convergence of asymptotically stable solutions of linear scalar Volterra integro--differential equations", Journal Of Integral Equations And Applications, Vol 14, pp109 - 118
Appleby, J. A. D., and D. W. Reynolds 2002. "Subexponential solutions of linear integro-differential equations and transient renewal equations", Proceedings Of The Royal Society Edinburgh, Vol 132A, pp521 - 543
Downes, T.P., Duffy, P., Komissarov, S.S 2002. "Relativistic Blastwaves and Synchrotron Emission", Monthly Notices Of The Royal Astronomical Society, Vol 332, pp144 - *
John A. D. Appleby and David W. Reynolds 2002. "Subexponential solutions of linear integro-differential equations and transient renewal equations ", Proceedings Of Royal Society Edinburgh, Section A, Vol 132, pp521 - 543

2001

Brady, Thomas 2001. "A partial order on the symmetric group and new $K(pi,1)$'s for the braid groups. ", Advances In Mathematics, Vol 161, pp20 - 40
C. Clavero, J. J. H. Miller, E. O'Riordan and G.I. Shishkin 2001. "Numerical experiments for advection-diffusion problems in a channel with a 180¿a bend", Applied Mathematics And Computation, Vol 118, pp223 - 246
C. Clavero, J. J. H. Miller, E. O'Riordan and G.I. Shishkin 2001. "Numerical experiments for advection-diffusion problems in a channel with a 180° bend", Applied Numerical Mathematics (elsevier), Vol 118(2-3), pp223 - 246
F. Abdelwahid and J. Burzlaff 2001. "A study of monopole scattering through power series expansions", Reports On Mathematical Physics, Vol 48, pp415 - 423
H. Mac Mullen, J. J. H. Miller, E. O' Riordan and G. I. Shishkin 2001. "A second order parameter-robust overlapping Schwarz method for reaction-diffusion problems with boundary layers", Journal Of Computational And Applied Mathematics, Vol 130/1-2, pp231 - 244
H. Mac Mullen, J. J. H. Miller, E. O' Riordan and G. I. Shishkin, 2001. "Parameter-uniform fitted mesh method for quasilinear differential equation with boundary layers,", Computational Methods In Applied Mathematics, Vol 2, pp154 - 172
J. Burzlaff and E. Kellegher 2001. "Expansion in the distance parameter for two vortices close together", Journal Of Mathematical Physics, Vol 42, pp182 - 191
P. A. Farrell, J.J.H. Miller, E. O'Riordan and G.I. Shishkin 2001. "Uniformly convergent finite difference methods for singularly perturbed quasilinear differential equations", Computational Methods In Applied Mathematics, Vol 1, pp154 - 172
F.C. Mena(1), B.C. Nolan (1) Queen Mary, University of London 2001. "Non-radial null geodesics in spherical dust collapse", Classical And Quantum Gravity, Vol 18, pp4531 - 4548
Shadmehri 2001. "Self-similar Equilibria of Self-gravitating, Magnetized, Rotating Isothermal Systems", Astrophysical Journal, Vol 557, pp1028 - 1034
B.C. Nolan 2001. "Sectors of spherical homothetic collapse", Classical And Quantum Gravity, Vol 18, pp1651 - 1676
B.C. Nolan 2001. "A note on behaviour at an isotropic singularity", Classical And Quantum Gravity, Vol 18, pp1127 - 1136
Mohsen Shadmehri 2001. "Radiative cooling flows of self-gravitating filamentary clouds", Astrophysics And Space Science, Vol 278, pp347 - 355
O'Sullivan, N 2001. "Localizations of free soluble groups. ", Journal Of Group Theory, Vol 4, pp89 - 96

2000

Brady, Thomas 2000. "Artin groups of finite type with three generators", Journal Of Michigan Mathematics, Vol 47, pp313 - 324
Brady, Thomas; McCammond, Jonathan P. 2000. "Three-generator Artin groups of large type are biautomatic", Journal Of Pure And Applied Algebra, Vol 151, pp01 - 09
J.J.H. Miller, E. O'Riordan, G.I. Shishkin and S. Wang 2000. "A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer", Applied Numerical Mathematics (elsevier), Vol 35, pp323 - 337
J.J.H. Miller, E. O'Riordan, G.I. Shishkin and S. Wang 2000. "A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer", Applied Numerical Mathematics (elsevier), Vol 35(4), pp323 - 337
O'Sullivan 2000. "The genus and localization of finitely generated (torsion-free abelian)-by-finite groups. Mathematical Proceedings of the Cambridge Philosophical Society", Vol 128, pp257 - 268
O'Sullivan, N 2000. "Genus and cancellation. Communications in Algebra ", Vol 28, pp3387 - 3400
O'Sullivan, N 2000. "Genus and localization of virtually nilpotent groups. Crystallographic groups and their generalizations (Kortrijk, 1999), 253--262, Contemp. Math., 262", Vol 262, pp253 - 262
B.C. Nolan 2000. "The Central Singularity in Spherical Collapse", Physical Review D, Vol 62, pp044015(1) - 044015(9)
John A. D. Appleby 2000. "Heterogeneity and seasonaility in financial markerts ", International Journal Of Theoretical And Applied Finance, Vol 3, pp491 - 492

Books

2012

J.J.H. Miller, Eugene O'Riordan and G.I. Shishkin (2012) "Fitted Numerical Methods for Singular perturbation problems (Revised Edition)", World Scientific

2010

Terry Lynch and John A D Appleby (2010) "Large Fluctuations of Stochastic Differential Equations: Regime Switching and Applications to Simulation and Finance", LAP LAMBERT Academic Publishing
Huizhong Wu and John A. D. Appleby (2010) "Pathwise Large Deviations of Stochastic Differential Equations with Applications to Finance", LAP Lambert Academic Publishing
Catherine Swords and John A. D. Appleby (2010) "Stochastic Delay Difference and Differential Equations: Applications to Financial Markets", LAP Lambert Academic Publishing

2009

(2009) "Jets From Young Stars V: High Performance Computing and Applications", Springer-Verlag

2007

John H. Miller, David Edelman and John A. D. Appleby (2007) "Numerical Methods in Finance", Chapman & Hall/CRC Press

2005

(2005) "General Relativity and Gravitation: Proceedings of the 17th International Conference", World Scientific

2000

P. A. Farrell, A. F. Hegarty, J. J. H. Miller , E. O' Riordan and G. I. Shishkin (2000) "Robust computational techniques for boundary layers", Chapman and Hall/ CRC press

Chapters

2009

Downes, T.P (2009) "Driving Mechanisms for Molecular Outflows", Protostellar Jets in Context, pp395 - 404
Jones, A.C. Shadmehri, M. Downes, T.P (2009) "Multifluid Simulations of the Kelvin-Helmholtz Instability in a Weakly Ionised Plasma", Protostellar Jets in Context, pp547 - 549
Downes, T.P (2009) "Large-Scale Jet Simulations", Jets From Young Stars V: High Performance Computing and Applications, Lecture Notes in Physics, Volume 791, pp137 - 153

2007

Olaf Menkens (2007) "Value at Risk and Self-Similarity", Numerical Methods for Finance, pp225 - 253

2006

John A. D. Appleby (2006) "Appleby's Stochastic Perturbations", Stability by Fixed Point Theory for Functional Differential Equations, pp325 - 354

2005

Ralf Korn, Olaf Menkens (2005) "On worst case investment with applications in finance and insurance mathematics", Interacting Stochastic Systems, pp397 - 406

2002

Prof Emmanuel Buffet (2002) "Credit Risk : the Structural Approach Revisited", Proceedings of the Third Seminar on Stochastic Analysis , Random Fields and Applications , Ascona 1999, pp45 - 53

2000

A.D. Wood (2000) "George Gabriel Stokes", Creators of mathematics: the Irish connection (ed. Ken Houston), UCD Press, Dublin , pp33 - 38

Reviews

Non-Peer Reviewed

2012

Downes, T. P (2012) "Multifluid Magnetohydrodynamic Turbulence in Weakly Ionised Astrophysical Plasmas", 15 - 21

2010

Gill, O., Mac An Bhaird, C. and Ni Fhloinn, E (2010) "The Origins, Development and Evaluation of Mathematics Support Services", 66 51 - 64
Ni Fhloinn, E (2010) "DCU Voluntary Maths Tuition Programme", 12 - 14
Downes, T. P.; O'Sullivan, S (2010) "Non-ideal MHD Turbulent Decay in Molecular Clouds", 3 - 7

2009

Carr, M. and Ni Fhloinn, E (2009) "Alternative Forms of Continuous Assessment in Mathematics", 1 51 - 63
Cabrit, S.; Bocchi, M.; Camenzind, M.; Ciardi, A.; de Colle, F.; Downes, T.; Ferreira, J.; Frank, A.; Gracia, J.; Lebedev, S.; Marrochino, A.; Massaglia, S.; Matsakos, T.; O'Sullivan, J.; Stehlé, C.; Stute, M.; Suzuki-Vidal, F.; Tesileanu, O.; Tsinganos, K.; Zanni, C (2009) "Dynamics of magnetized YSO jets: Examples of results from the JETSET network", 36 171 - 178

2008

Ferrand, G. Downes, T.P. Marcowith, A (2008) "Simulations of time-dependent non-linear multiple diffusive shock acceleration", 267 - 270
Downes, T.P. O'Sullivan, S (2008) "Implications of the Hall Effect for Turbulent Molecular Clouds", 385 12 -
O'Sullivan, S. Downes, T.P (2008) "Numerical Modeling of Weakly Ionized Plasmas", 385 174 -

2007

Paolo Guasoni, Scott Robertson (2007) "Importance Sampling with Basket Options ", November/December

2006

O'Sullivan, S. Downes, T.P (2006) "Numerical Modeling of Weakly Ionized Plasmas", 178 -

2005

Corkery, S., Downes, T. P (2005) "The Stability of Rotating Jets: Numerical Simulations", 8548 -
Downes, T.P., Cabrit, S (2005) "Inferred Versus Actual Characteristics of Molecular Outflows - Some Pitfalls", 8446 -
O'Sullivan, S., Downes, T.P (2005) "Multifluid Magnetohydrodynamics: An Explicit Approach", 8249 -
O'Sullivan, S. Downes, T.P (2005) "Explicit methods for multifluid MHD", 801 393 - 394

2004

van der Swaluw, E., Downes, T.P (2004) "A key to pulsar wind bubble morphologies: hydrodynamical simulations", 175 - 178

2003

Coffey, D., Downes, T., Ray, T.P (2003) "Evolution and simulation of the XZ Tauri outburst",
Downes, T.P., Cabrit, S (2003) "Jet-accelerated molecular outflows: the mass-velocity and intensity-velocity relations", 15 120 - 122

2001

Downes, T.P., Duffy, P., Komissarov, S (2001) "Simulations of synchrotron emission from gamma-ray bursts", 118 - 125
Downes, T.P., Duffy, P., Komissarov, S (2001) "Light curves and spectra from gamma ray bursts", 411 - 415

2000

Prof Emmanuel Buffet (2000) "Defaultable Bonds as Asian Options", 3 571 -

See Publications for all years