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School of Mathematical Sciences

Mathematical Sciences Preprint Archive

2014

  • MS-14-01
    E. O' Riordan and J. Quinn A linearized singularly perturbed convection–diffusion problem with an interior layer

2013

  • MS-13-03
    J.L. Gracia and E. O' Riordan Scaled discrete derivatives of singularly perturbed elliptic problems
  • MS-13-02
    E. O' Riordan and J. Quinn Experiments with a Shishkin Algorithm for a Singularly Perturbed Quasilinear Parabolic Problem with a Moving Interior Layer
  • MS-13-01
    J.L. Gracia and E. O' Riordan Numerical approximation of solution derivatives of singularly perturbed parabolic problems

2012

  • MS-12-02
    E. O'Riordan and J. Quinn Multi-scale convection in one dimensional singularly perturbed convection--diffusion problems
  • MS-12-01
    J.L. Gracia and E. O' Riordan Interior layers in a singularly perturbed time dependent convection--diffusion problem

2011

  • MS-11-07
    E. O' Riordan and J. Quinn A singularly perturbed convection di ffusion turning point problem with an interior layer
  • MS-11-06
    J.L. Gracia and E. O' Riordan A singularly perturbed time dependent reaction--diffusion problem with non-smooth initial conditions
  • MS-11-05
    D. Henry and B.-V. Matioc On the regularity of steady periodic stratified water waves
  • MS-11-04
    D. Henry On free surfaces in hydrostatic flows
  • MS-11-03
    D. Henry and B.-V. Matioc On the existence of steady periodic capillary-gravity stratified water waves
  • MS-11-02
    D. Henry Steady periodic waves bifurcating for fixed-depth rotational flows
  • MS-11-01
    E. O' Riordan Opposing flows in a one dimensional convection-diffusion problem

2010

  • MS-10-07
    E. O' Riordan and J. Quinn Numerical method for a nonlinear singularly perturbed interior layer problem
  • MS-10-06
    David Henry Regularity for steady periodic capillary water waves with vorticity
  • MS-10-05
    David Henry Analyticity of streamlines for periodic travelling capillary-gravity water waves with vorticity
  • MS-10-04
    István Győri and David Reynolds On Asymptotically Periodic Solutions of Linear Discrete Volterra Equations
  • MS-10-03
    Thomas Brady, Aisling Kenny and Colum Watt Climbing Elements in Finite Coxeter Groups
  • MS-10-02
    J.L. Gracia and E. O' Riordan A singularly perturbed time dependent convection diffusion problem with an interior layer
  • MS-10-01
    E. O' Riordan and J. Quinn Parameter-uniform numerical methods for some linear and nonlinear singularly perturbed convection diffusion boundary turning point problems

2009

  • MS-09-15
    D. Henry Pressure in a deep-water Stokes wave
  • MS-09-14
    E. O' Riordan and J. Quinn Parameter-uniform numerical methods for some singularly perturbed nonlinear initial value problems
  • MS-09-13
    Michael McCarthy, John A. D. Appleby, and Alexandra Rodkina Growth Rates of Delay--Differential Equations and Uniform Euler Schemes
  • MS-09-12
    Michael McCarthy, John A. D. Appleby, and Alexandra Rodkina Numerical detection and asymptotic consistency of Euler schemes for the exploding solutions of delay differential equations
  • MS-09-11
    Terry Lynch and John A. D. Appleby Asymptotic consistency in the large fluctuations of continuous and discretised market models with Markovian switching
  • MS-09-10
    Terry Lynch and John A. D. Appleby On the growth of the extreme fluctuations of SDEs with Markovian Switching II: Unbounded Noise
  • MS-09-09
    Terry Lynch, John A. D. Appleby and Xuerong Mao On the growth of the extreme fluctuations of SDEs with Markovian Switching I: Bounded Noise
  • MS-09-08
    D. Henry Infinite propagation speed for a two component Camassa-Holm equation
  • MS-09-07
    D. Henry Steady periodic flow induced by the Korteweg-de Vries equation
  • MS-09-06
    C. de Falco and E. O'Riordan A parameter robust Petrov-Galerkin scheme for advection-diffusion-reaction equations
  • MS-09-05
    J. A. D. Appleby, X.Mao and H.Wu On the almost sure partial maxima of solutions of affine stochastic functional differential equations
  • MS-09-04
    J. A. D. Appleby and H. Wu Exponential growth and Gaussian--like fluctuations of solutions of stochastic differential equations with maximum functionals
  • MS-09-03
    J. A. D. Appleby and H. Wu Solutions of stochastic differential equations obeying the law of the iterated logarithm with applications to financial markets
  • MS-09-02
    J. A. D. Appleby, T. Lynch, X. Mao and H. Wu The Size of the Largest Fluctuations in a Market Model with Markovian Switching
  • MS-09-01
    J. A. D. Appleby, X. Mao and H. Wu Almost Sure Asymptotic Growth Bounds for Solutions of Stochastic Differential Equations

2008

  • MS-08-12
    C. de Falco and E. O'Riordan A patched mesh method for singularly perturbed reaction-diffusion equations
  • MS-08-11
    J.L. Gracia, F.J. Lisbona, M. Madaune-Tort and E. O'Riordan A coupled system of singularly perturbed semilinear reaction-diffusion equations
  • MS-08-10
    C. de Falco and M. Culpo A PDE thermal model for chip-level simulation including substrate effects
  • MS-08-09
    P. A. Farrell and E. O'Riordan Examination of the performance of robust numerical methods for singularly perturbed quasilinear problems with interior layer
  • MS-08-08
    C. de Falco and E. O' Riordan Singularly perturbed reaction-diffusion problem with a boundary turning point
  • MS-08-07
    Mohsen Shadmehri Hot accretion with outflow and thermal conduction
  • MS-08-06
    Mohsen Shadmehri The influence of winds on the time-dependent behaviour of self-gravitating accretion discs
  • MS-08-05
    E. O'Riordan and M.L. Pickett Localized parameter-explicit bounds on the derivatives of the solution to a singularly perturbed two parameter elliptic problem
  • MS-08-04
    C. de Falco and E. O'Riordan Singularly perturbed reaction--diffusion equation with discontinuous diffusion coefficient
  • MS-08-03
    Fazeleh Khajenabi, Mohsen Shadmehri and Sami Dib Thin accretion disc with a corona in a central magnetic field
  • MS-08-02
    Mohsen Shadmehri and Turlough P. Downes The role of Kelvin-Helmholtz instability in dusty and partially ionized outflows
  • MS-08-01
    Mohsen Shadmehri Dynamics of charged dust particles in protoplanetary discs

2007

  • MS-07-32
    C. de Falco, J. Jerome and R. Sacco Quantum corrected drift-diffusion models: solution fixed point map and finite element approximation
  • MS-07-31
    S. E. M. Tanner Life-time, turnover-time and fast magnetic field regeneration in random flows
  • MS-07-30
    S. O'Sullivan and T. P. Downes A three-dimensional numerical method for modelling weakly ionized plasmas
  • MS-07-29
    T. P. Downes and S. Cabrit Jet-driven molecular outflows from Class 0 sources: younger and stronger than they seem?
  • MS-07-28
    G. Ferrand, T. P. Downes, and A. Marcowith MARCOS, a numerical tool for the simulation of multiple time-dependent non-linear diffusive shock acceleration
  • MS-07-27
    S. O'Sullivan and T. P. Downes Numerical modeling of weakly ionized plasmas
  • MS-07-26
    T. P. Downes and S. O'Sullivan Implications of the Hall effect for turbulent molecular clouds
  • MS-07-25
    J. A. D. Appleby, G. Berkolaiko, and A. Rodkina Non-exponential stability and decay rates in nonlinear stochastic difference equation with unbounded noises
  • MS-07-24
    J. A. D. Appleby Convergence rates of the solution of a Volterra-type stochastic differential equations to a non-equilibrium limit
  • MS-07-23
    J. A. D. Appleby, A.Rodkina, and C. Swords Fat Tails and Bubbles in a Discrete Time Model of an Inefficient Financial Market
  • MS-07-22
    J. A. D. Appleby, C. Kelly, X. Mao, and A. Rodkina Positivity and stabilization for nonlinear stochastic delay differential equations
  • MS-07-21
    J. A. D. Appleby, M. Guzowska, and A. Rodkina Preservation of positivity in the solution of discretised stochastic differential equation
  • MS-07-20
    J. A. D. Appleby, G. Berkolaiko, and A. Rodkina On Local Stability for a Nonlinear Difference Equation with a Non-Hyperbolic Equilibrium and Fading Stochastic Perturbations
  • MS-07-19
    J. A. D. Appleby and M. Riedle Stochastic Volterra differential equations in weighted spaces
  • MS-07-18
    J. A. D. Appleby, X. Mao and M. Riedle Geometric Brownian Motion with delay: mean square characterisation
  • MS-07-17
    J. A. D. Appleby, G. Berkolaiko and A. Rodkina On the Oscillation of Solutions of Stochastic Difference Equations with State-Independent Perturbations
  • MS-07-16
    J. A. D. Appleby, X.Mao and A.RodkinaStabilisation and destabilisation of nonlinear differential equations by noise
  • MS-07-15
    J. A. D. Appleby and C. Kelly Almost Sure Asymptotic Behaviour of One- and Two-step Difference Equations with Random Coefficients on a Reducing Mesh
  • MS-07-14
    John A. D. Appleby, Alexandra Rodkina and Markus Riedle On Asymptotic Stability of linear stochastic Volterra difference equations with respect to a fading perturbation
  • MS-07-13
    J. A. D. Appleby and C. Swords Asymptotic behaviour of a nonlinear stochastic difference equation modelling an inefficient financial market
  • MS-07-12
    J. A. D. Appleby, M.a Guzowska, and A. Rodkina On polynomial Rate of Decay and Growth of Solution to Nonlinear Difference Equations
  • MS-07-11
    S. E. M. Tanner, S. O'Sullivan, and T. P. Downes Nonlinear dynamo action in weakly ionized isothermal three-fluid plasmas
  • MS-07-10
    J.L. Gracia, F.J. Lisbona and E. O'Riordan A system of singularly perturbed reaction-diffusion equations
  • MS-07-09
    Mohsen Shadmehri and Turlough P. Downes Kelvin-Helmholtz instability in a weakly ionized layer
  • MS-07-08
    Sami Dib, Jongsoo Kim and Mohsen Shadmehri The Origin of the Arches Stellar Cluster Mass Function
  • MS-07-07
    Eugene O' Riordan, Jeanne Stynes and Martin Stynes A parameter-uniform finite difference method for a coupled system of convection-diffusion two-point boundary value problems
  • MS-07-06
    G. C. Gomez, E Vazquez-Semadeni, Mohsen Shadmehri and J. Ballesteros-Paredes Formation and collapse of quiescent cloud cores induced by dynamic compressions
  • MS-07-05
    P. A. Farrell, E. O'Riordan and G. I. Shishkin A class of singularly perturbed quasilinear differential equations with interior layers
  • MS-07-04
    Fazeleh Khajenabi and Mohsen Shadmehri Gravitational instability of discs with dissipative corona around supermassive black holes
  • MS-07-03
    R.K.Dunne, E.O'Riordan and M.M.Turner A numerical method for a plasma-sheath modelling problem
  • MS-07-02
    E. O' Riordan and M. Stynes Numerical analysis of a strongly coupled system of two singularly perturbed convection-diffusion problems
  • MS-07-01
    S. Dib, J. Kim, E. Vazquez-Semadini, A. Burkert and M. Shadmehri The virial balance in clumps and cores in molecular clouds

2006

  • MS-06-09
    R. K. Dunne and E. O' Riordan Interior layers arising in linear singularly perturbed differential equations with discontinuous coefficients
  • MS-06-08
    D. W. Reynolds, J. A. D. Appleby and I. Gyori On Exact Rates of Growth and Decay of Solutions of a Linear Volterra Equation in Linear Viscoelasticity
  • MS-06-07
    J. A. D. Appleby, S. Devin and D. W. Reynolds Almost sure convergence of solutions of linear stochastic Volterra equations to non--equilibrium limits
  • MS-06-06
    Mohsen Shadmehri Dynamics of dust particles in accretion discs: The effect of an imposed magnetic field
  • MS-06-05
    John Appleby, Istvan Gyori and David Reynolds On exact convergence rates for solutions of linear systems of Volterra difference equations
  • MS-06-04
    Brien Nolan Odd-parity perturbations of self-similar Vaidya spacetime
  • MS-06-03
    J. Burzlaff and L. Sartori The Slow-Motion Approximation for the Gorkov-Eliashberg Equations
  • MS-06-02
    B. Nolan Bounds for scalar waves in self-similar collapse
  • MS-06-01
    E. O'Riordan and G. I. Shishkin Solution decompositions for singularly perturbed elliptic problems

2005

  • MS-05-25
    John A. D. Appleby, Siobhán Devin and David W. Reynolds On the asymptotic convergence to a non--equilibrium limit of solutions of linear stochastic Volterra equations
  • MS-05-24
    Angela Murphy and Noel Fitzpatrick Elliptic Curves for Pairing Applications
  • MS-05-23
    John A. D. Appleby and Conáll Kelly Spurious oscillation in a uniform Euler discretisation of linear stochastic differential equations with vanishing delay
  • MS-05-22
    John A. D. Appleby and Conáll Kelly Oscillation of solutions of a nonuniform discretisation of linear stochastic differential equations with vanishing delay
  • MS-05-21
    John A. D. Appleby, Gregory Berkolaiko, Alexandra Rodkina On the Asymptotic Behavior of the Moments of Solutions of Stochastic Difference Equations
  • MS-05-20
    John A. D. Appleby, Dana Mackey, Alexandra Rodkina Almost sure polynomial asymptotic stability of stochastic difference equations
  • MS-05-19
    R. K. Dunne, E. O'Riordan and G. I. Shishkin Fitted Mesh Numerical Methods for Singularly Perturbed Elliptic Problems with Mixed Derivatives
  • MS-05-17
    John A. D. Appleby, Siobhán Devin and David W. Reynolds Mean square convergence of solutions of linear Stochastic Volterra equations to non--equilibrium limits
  • MS-05-16
    E. O'Riordan, M. L. Pickett and G. I. Shishkin Numerical methods for singularly perturbed elliptic problems containing two perturbation parameters
  • MS-05-15
    John A. D. Appleby and Markus Riedle Almost sure asymptotic stability of stochastic Volterra integro-differential equations with fading perturbations
  • MS-05-14
    John A. D. Appleby, David W. Reynolds and Alexandra Rodkina On non-exponential lower bounds on the solutions of a scalar linear Ito-Volterra equations
  • MS-05-13
    John A. D. Appleby, Xuerong Mao, and Alexandra Rodkina On stochastic stabilization of difference equations
  • MS-05-11
    J.L. Gracia and E. O'Riordan A defect--correction parameter-uniform numerical method for a singularly perturbed convection-diffusion problem in one dimension
  • MS-05-10
    John A. D. Appleby, Alexandra Rodkina and Henri Schurz Pathwise non-exponential decay rates of solutions of scalar stochastic differential equations
  • MS-05-09
    John A. D. Appleby, Gyori Istvan and David W. Reynolds On exact rates of decay of solutions of linear systems of Volterra equations with delay
  • MS-05-08
    John A. D. Appleby, Siobhán Devin and David W. Reynolds On the exponential convergence to a limit of solutions of perturbed linear Volterra equations
  • MS-05-07
    Brien Nolan and Thomas Waters Even perturbations of self-similar Vaidya spacetime
  • MS-05-06
    John A. D. Appleby and Xuerong Mao Superexponentially stable solutions of autonomous delay differential equations
  • MS-05-05
    John A. D. Appleby and Alexandra Rodkina Asymptotic stability of polynomial stochastic delay differential equations with damped perturbations
  • MS-05-04
    John A. D. Appleby and Aoife Flynn Stabilisation of Volterra Equations by Noise
  • MS-05-03
    John A. D. Appleby, Xuerong Mao, and Alexandra Rodkina On pathwise super-exponential decay rates of solutions of scalar nonlinear stochastic differential equations
  • MS-05-02
    John A. D. Appleby and Alexandra Rodkina Rates of decay and growth of solutions to linear stochastic differential equations with state-independent perturbations
  • MS-05-01
    John A. D. Appleby and Xuerong Mao Stochastic Stabilisation of functional differential equations

2004

  • MS-04-18
    M. D. Smith and A. Rosen Synthetic Spitzer IRAC band maps from simulations of protostellar jets
  • MS-04-17
    M. D. Smith and A. Rosen Hydrodynamic simulations of molecular outflows driven by slow-precessing protostellar jets
  • MS-04-16
    J.L. Gracia, E. O'Riordan and M.L. Pickett A parameter robust higher order numerical method for a singularly perturbed two--parameter problem
  • MS-04-15
    R. Keegan and T.P. DownesOn the long-term evolution of jet-driven molecular outflows
  • MS-04-14
    Deirdre Coffey, Turlough P. Downes, Thomas P. Ray The evolution and simulation of the outburst from XZ Tauri - A possible EXor?
  • MS-04-13
    E. van der Swaluw, T.P. Downes, R. Keegan An evolutionary model for pulsar-driven supernova remnants - a hydrodynamical model
  • MS-04-12
    T.P. Downes and S. Cabrit Jet-accelerated molecular outflows: the mass-velocity and intensity-velocity relations
  • MS-04-11
    Louise V. Nolan and Brien C. Nolan On isotropic cylindrically symmetric stellar models
  • MS-04-10
    Filipe C. Mena, Brien C. Nolan and Reza Tavakol The role of anisotropy and inhomogeneity in Lemaitre-Tolman-Bondi collapse
  • MS-04-09
    Brien C Nolan Physical interpretation of gauge invariant perturbations of spherically symmetric space-times
  • MS-04-08
    E. O'Riordan, M.L. Pickett and G.I. Shishkin Parameter-Uniform Finite Difference Schemes for Singularly Perturbed Parabolic Diffusion-Convection-Reaction Problems
  • MS-04-07
    Dana Mackey and Miles M. Turner Two dimensional patterns in high frequency plasma discharges
  • MS-04-06
    John A. D. Appleby Exponential asymptotic stability of nonlinear Ito-Volterra equations with damped stochastic perturbations
  • MS-04-05
    John A. D. Appleby and David W. Reynolds On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations
  • MS-04-04
    John A. D. Appleby and Conall Kelly Oscillation and nonoscillation in solutions of nonlinear stochastic delay differential equations
  • MS-04-03
    J. A. D. Appleby Decay and growth rates of solutions of scalar stochastic delay differential equations with unbounded delay and state dependent noise
  • MS-04-02
    M. J. O Reilly and E. O'Riordan A Shishkin mesh for a singularly perturbed Riccati equation
  • MS-04-01
    C. Clavero, J.L. Gracia and E. O'Riordan A parameter robust numerical method for a two dimensional reaction-diffusion problem

2003

  • MS-03-20
    John A. D. Appleby Alexandra Rodkina, and Henri Schurz On an exponential martingale approach to almost sure stability of Ito SDEs in R
  • MS-03-19
    S. Bellew and E. O'Riordan A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations
  • MS-03-18
    John A. D. Appleby and Dana Mackey Polynomial asymptotic stability of damped stochastic differential equations
  • MS-03-17
    John A. D. Appleby and David W. Reynolds On the non-exponential decay to equilibrium of solutions of nonlinear scalar Volterra integro--differential equations
  • MS-03-16
    John A. D. Appleby and David W. Reynolds Subexponential solutions of linear integro-differential equations
  • MS-03-15
    John A. D. Appleby, Istvan Gyori and David W. Reynolds Subexponential solutions of scalar linear integro--differential equations with delay
  • MS-03-14
    John A. D. Appleby Almost sure subexponential decay rates of scalar Ito-Volterra equations
  • MS-03-13
    John A. D. Appleby Subexponential solutions of linear Ito-Volterra equations with a damped perturbation
  • MS-03-12
    John A. D. Appleby and Evelyn Buckwar Sufficient Conditions for Polynomial Asymptotic Behaviour of the Stochastic Pantograph Equation
  • MS-03-11
    John A. D. Appleby and Conall Kelly Prevention of Explosions in Solutions of Functional Differential Equations by Noise Perturbation
  • MS-03-10
    John A. D. Appleby and Conall Kelly Asymptotic and Oscillatory Properties of Linear Stochastic Delay Differential Equations with Vanishing Delay
  • MS-03-09
    E. van der Swaluw, A. Achterberg, Y. A. Gallant, T.P. Downes, R. KeppensInteraction of High-Velocity Pulsars with Supernova Remnant Shells
  • MS-03-08
    P. A. Farrell, E. O'Riordan and G. I. ShishkinA class of singularly perturbed semilinear differential equations with interior layers
  • MS-03-07
    D. Mackey, L. Plantie and M.M. TurnerInstabilities and pattern formation in low-temperature plasmas
  • MS-03-06
    Turlough P. Downes and Sylvie Cabrit The mass-velocity and intensity-velocity relations in jet-driven molecular outflows
  • MS-03-05
    John A. D. Appleby and Alan Freeman Exponential Asymptotic Stability of Linear Ito-Volterra Equations with Damped Stochastic Perturbations
  • MS-03-04
    John A. D. Appleby p-th Mean Integrability and Almost Sure Asymptotic Stability of Solutions of Ito-Volterra equations
  • MS-03-03
    John A. D. Appleby Destabilisation of functional differential equations by noise
  • MS-03-02
    John A. D. Appleby Almost sure asymptotic stability of Ito-Volterra equations
  • MS-03-01
    John A. D. Appleby and Evelyn Buckwar Noise Induced Oscillation in Solutions of Stochastic Delay Differential Equations

2002

  • MS-02-13
    E. O'Riordan, M.L. Pickett, and G.I. Shishkin Singularly perturbed problems modelling reaction-convection-diffusion processes
  • MS-02-12
    D. Mackey and E.A. Cox Dynamics of a two-layer fluid sloshing problem
  • MS-02-11
    I. Marian, R. Reilly and D. Mackey Efficient event-driven simulation of spiking neural networks
  • MS-02-10
    J. A. D. Appleby Almost sure stability of linear Ito-Volterra equations with damped stochastic perturbations
  • MS-02-09
    G. T. Fingleton, J. A. D. Appleby, A. D. Wood Differential equation models for Aujeszky's Disease Virus (ADV) in Irish pig herds
  • MS-02-08
    Brien C. Nolan and Filipe C. Mena Geometry and topology of singularities in spherical dust collapse
  • MS-02-07
    Brien C Nolan and Thomas J Waters Cauchy horizon stability in self-similar collapse: scalar radiation
  • MS-02-06
    E. O'Riordan and G.I. Shishkin Singularly perturbed parabolic problems with non-smooth data
  • MS-02-05
    B. Mudavanhu and R. E. O'Malley Two-timing, averaging, and renormalization methods to solve weakly nonlinear oscillator equations on long time intervals
  • MS-02-04
    Ariela Briani Notes on Viscosity Solutions for Partial Differential Equations
  • MS-02-03
    Brien C. Nolan Generalized solutions for shell-crossing singularities
  • MS-02-02
    Thomas Brady and Colum Watt A partial ordering on the Orthogonal Group
  • MS-02-01
    Brien C. Nolan Naked singularities in cylindrical collapse of counter-rotating dust shells

2001

  • MS-01-17
    Brien C. Nolan, Filipe C. Mena and Sergio M.C.V. Goncalves On the strength and genericity of singularities in Tolman-Bondi-de Sitter collapse, and a note on central singularities
  • MS-01-16
    Y. Brihaye, J. Burzlaff, V. Paturyan and D. H. TchrakianThe 1-soliton in the SO(3) gauged Skyrme model with mass term
  • MS-01-15
    V. B. Andreev Green's function and uniform convergence of monotone difference schemes for a singularly perturbed convection - diffusion equation on Shishkin's mesh in one- and two-dimensions
  • MS-01-14
    J. A. D. Appleby and D. W. Reynolds Decay Rates of Solutions of Linear Stochastic Volterra Equations
  • MS-01-13
    J. A. D. Appleby Stabilisation of Functional Differential Equations by Noise
  • MS-01-12
    J. A. D. Appleby and D. W. Reynolds Non-exponential Stability of Scalar Stochastic Volterra Equations equations
  • MS-01-11
    J. A. D. Appleby and D. W. Reynolds On the non--exponential convergence of asymptotically stable solutions of linear scalar Volterra integro--differential equations
  • MS-01-10
    R.K. Dunne, E. O'Riordan and G.I. Shishkin A Fitted Mesh Method for a Class of Singularly Perturbed Parabolic Problems with a Boundary Turning Point
  • MS-01-09
    Filipe C. Mena and Brien C. Nolan Non-radial null geodesics in spherical dust collapse
  • MS-01-08
    Downes, T.P., Duffy, P., Komissarov, S. Particle acceleration and synchrotron emission from relativistic blastwaves
  • MS-01-07
    P.A. Farrell, A.F. Hegarty, J.J.H. Miller, E. O'Riordan, G.I. Shishkin Singularly perturbed convection diffusion problems with boundary and weak interior layers
  • MS-01-06
    P.A. Farrell, A.F. Hegarty, J.J.H. Miller, E. O'Riordan, G.I. Shishkin Global maximum norm parameter--uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
  • MS-01-05
    Downes, T.P., Duffy, P., Komissarov, S. Relativistic Blastwaves and Synchrotron Emission
  • MS-01-04
    Downes, T.P., Duffy, P., Komissarov, S. Simulations of Synchrotron Emission from Gamma-Ray Bursts
  • MS-01-03
    J. A. D. Appleby, M. Fabrizio, B. Lazzari, D. W. Reynolds On Exponential Stability in Linear Viscoelasticity
  • MS-01-02
    H. MacMullen, E. O'Riordan and G.I. Shishkin The convergence of classical Schwarz methods applied to convection-diffusion problems with regular boundary layers
  • MS-01-01
    P.A. Farrell, J.J.H. Miller, E. O'Riordan, G.I. Shishkin, Parameter--uniform fitted mesh method for quasilinear differential equations with boundary layers

2000

  • MS-00-20
    B. Nolan,A note on behaviour at an isotropic singularity
  • MS-00-19
    B. Nolan,Sectors of spherical homothetic collapse
  • MS-00-18
    F. Abdelwahid and J. Burzlaff,A study of monopole scattering through power series expansions
  • MS-00-17
    B. Nolan,Conjugate points and the inextendibility condition
  • MS-00-16
    B. Nolan,The Central Singularity in Spherical Collapse
  • MS-00-14
    J. A. D. Appleby,Exponential Asymptotic Stability for Linear Volterra Equations
  • MS-00-13
    J. A. D. Appleby and D. W. Reynolds, Subexponential Solutions of Linear Integro-- Differential Equations and Transient Renewal Equations
  • MS-00-12
    J. Burzlaff and E. Kellegher, Expansion in the Distance Parameter for Two Vortices Close Together
  • MS-00-11
    P.A. Farrell, A.F. Hegarty, J.J.H. Miller, E. O'Riordan and G.I. Shishkin, Parameter-uniform numerical methods for a class of singularly perturbed problems with a Neumann boundary condition
  • MS-00-10
    John Appleby, A Complete Market Model with Feedback
  • MS-00-09
    Maria Meehan and Donal O'Regan, Positive L^p Solutions of Hammerstein Integral Equations
  • MS-00-08
    John Appleby, Heterogeneity and Seasonality in Financial Markets
  • MS-00-07
    Maria Meehan and Donal O'Regan, A Note on Positive Solutions of Fredholm Integral Equations and Related Boundary Value Problems
  • MS-00-06
    S. Matthews, E. O'Riordan and G. I. Shishkin, Numerical Methods for a System of Singularly Perturbed Reaction-Diffusion Equations
  • MS-00-05
    R. K. Dunne, E. O'Riordan and G. I. Shishkin, Singularly Perturbed Parabolic Problems on Non-Rectangular Domains
  • MS-00-04
    H. MacMulen, E. O'Riordan and G. I. Shishkin, Schwarz Methods for Convection-Diffusion Problems
  • MS-00-03
    S. Matthews , J. J. H. Miller, E. O'Riordan and G. I. Shishkin, Parameter-robust numerical methods for a system of reaction-diffusion problems with boundary layers
  • MS-00-01
    Emmanuel Buffet, Credit Risk: The Structural Approach Revisited