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**School of Mathematical Sciences**(109)

- Faculty of Science and Health (109)

- DCU Faculties and Schools (109)

**109**.

## 2018

Patterson, Denis D.
(2018)
*Asymptotic growth in nonlinear stochastic and deterministic functional differential equations.*
PhD thesis, Dublin City University.

## 2017

O'Sullivan, Brendan
(2017)
*An analysis of mathematical tasks used at second-level in Ireland.*
PhD thesis, Dublin City University.

Colgan, Brian
(2017)
*Robust and optimal adaptive meshes for non-linear differential equations with finite-time singularities: motivated by finance.*
PhD thesis, Dublin City University.

Kinsella, Aaron
(2017)
*The thermodynamics of multiﬂuid magnetohydrodynamic turbulence in star forming regions.*
Master of Science thesis, Dublin City University.

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115 and Carr, Michael
(2017)
*Formative assessment in mathematics for engineering students.*
European Journal of Engineering Education, 42
(4).
pp. 458-470.
ISSN 0304-3797

## 2016

Appleby, John A.D. and Patterson, Denis D.
(2016)
*Classification of convergence rates of solutions of perturbed ordinary differential equations with regularly varying nonlinearity.*
Electronic Journal of Qualitative Theory of Differential Equations
(3).
pp. 1-38.
ISSN 1417-3875

Appleby, John A.D.
(2016)
*Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation.*
Electronic Journal of Qualitative Theory of Differential Equations
(2).
pp. 1-32.
ISSN 1417-3875

Belak, Christoph, Christensen, Sören and Menkens, Olaf
(2016)
*Worst-case portfolio optimization in a market with bubbles.*
International Journal of Theoretical and Applied Finance, 19
(2).
p. 1650009.
ISSN 1793-6322

Garcia, Diego
(2016)
*Escrow account and moral hazard.*
Master of Science thesis, Dublin City University.

## 2015

Belak, Christoph, Menkens, Olaf and Sass, Jorn
(2015)
*Worst-case portfolio optimization with proportional transaction costs.*
Stochastics An International Journal of Probability and Stochastic Processes, 87
(4).
pp. 623-663.
ISSN 1744-2516

Belak, Christoph, Menkens, Olaf and Sass, Jorn
(2015)
*On the uniqueness of unbounded viscosity solutions arising in an optimal terminal wealth problem with transaction costs.*
SIAM Journal on Control and Optimization (SICON), 53
(5).
pp. 2878-2897.
ISSN 0363-0129

## 2014

Nahari, Noha
(2014)
*Mathematical skills and attitudes of first year engineering students.*
Master of Engineering thesis, Dublin City University.

Belak, Christoph, Christensen, Sören and Menkens, Olaf
(2014)
*Worst-case optimal investment with a random number of crashes.*
Statistics and Probability Letters, 90
.
pp. 140-148.
ISSN 0167-7152

O'Sullivan, Ciarán, Mac an Bhaird, Ciarán ORCID: 0000-0003-2863-3398, Fitzmaurice, Olivia and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2014)
*An Irish mathematics learning support network (IMLSN) report on student evaluation of mathematics learning support: Insights from a large scale multi-institutional survey.*
Technical Report.
National Centre for Excellence in Mathematics and Science Teaching and Learning (NCE-MSTL). ISBN 9781905952588

## 2013

Condron, Eoin
(2013)
*Gravitational collapse of a self-similar cylindrical scalar field with non-minimal coupling.*
PhD thesis, Dublin City University.

O'Keeffe, Wayne
(2013)
*Multifluid simulations of the magnetorotational instability in accretion disks around protostars.*
PhD thesis, Dublin City University.

Ewald, Christian-Oliver, Menkens, Olaf and Hung Marten Ting, Sai
(2013)
*Asian and Australian options: a common perspective.*
Journal of Economic Dynamics and Control, 37
(5).
pp. 1001-1018.
ISSN 0165-1889

## 2012

Cheng, Jian
(2012)
*Classication of the asymptotic behaviour of solutions of stochastic differential equations with state independent noise.*
PhD thesis, Dublin City University.

Quinn, Jason
(2012)
*Numerical methods for nonlinear singulary perturbed differential equations.*
PhD thesis, Dublin City University.

Daniels, John A.
(2012)
*On admissibility of deterministic and stochastic linear Volterra operators with applications to inefficient financial markets.*
PhD thesis, Dublin City University.

Korn, Ralf, Menkens, Olaf and Steffensen, Mogens
(2012)
*Worst-case-optimal dynamic reinsurance for large claims.*
European Actuarial Journal, 2
(1).
pp. 21-48.
ISSN 2190-9733

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115, Mac An Bhaird, Ciarán ORCID: 0000-0003-2863-3398 and Nolan, Brien C.
(2012)
*Appropriate settings and supports for third level diagnostic testing in mathematics.*
In: SMEC 2012: Science and Mathematics Education Conference, 7-9 June 2012, Dublin, Ireland.

## 2011

McCarthy, Michael J.
(2011)
*Explosions and unbounded growth in nonlinear delay differential equations: Numerical and asymptotic analysis.*
PhD thesis, Dublin City University.

Duffy, Emily
(2011)
*Naked singularities in self-similar gravitational collapse:
Stability properties of the Cauchy horizon.*
PhD thesis, Dublin City University.

O'Callaghan, Eóin
(2011)
*The analysis and implementation of exponential almost Runge-Kutta methods for semilinear problems.*
PhD thesis, Dublin City University.

Carr, Michael, Murphy, Eoin and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2011)
*Assessment, development and consolidation of advanced skills in engineering mathematics.*
In: SEFI Annual Conference 2011: Global Engineering Recognition, Sustainability, Mobility, 27-30 Sept 2011, Lisbon, Portugal.

Jones, Aoife Clare
(2011)
*Multifluid Kelvin-Helmholtz instability in weakly ionised astrophysical plasmas.*
PhD thesis, Dublin City University.

Yang, Zhaojun, Ewald, Christian-Oliver and Menkens, Olaf
(2011)
*Pricing and hedging of Asian options: Quasi-explicit solutions via Malliavin calculus.*
Mathematical Methods of Operations Research (ZOR), 74
(1).
pp. 93-120.
ISSN 1432-5217

Hurley, Mairéad
(2011)
*Spatially Resolved Spectroscopy of Faint Star-Forming Galaxies & their Environments in the High Redshift Universe.*
PhD thesis, Dublin City University.

## 2010

Lynch, Terry
(2010)
*Large Fluctuations of Stochastic Differential Equations with Regime Switching: Applications to Simulation and Finance.*
PhD thesis, Dublin City University.

Győri, István and Reynolds, David W.
(2010)
*On asymptotically periodic solutions of linear discrete Volterra equations.*
Fasciculi Mathematici, 44
(1).
pp. 53-67.
ISSN 0044-4413

Carr, Michael, Bowe, Brian and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2010)
*Improving Core Mathematical Skills in Engineering Undergraduates.*
In: 15th SEFI-MWG Seminar on the Mathematical Education of Engineers, 20-23 June 2010, Wismar, Germany.
ISBN 978-3-939159-97-1

## 2009

Wu, Huizhong
(2009)
*On the pathwise large deviations of stochatic differential and functional differential equations with applications to finance.*
PhD thesis, Dublin City University.

Swords, Catherine
(2009)
*Stochastic delay difference and differential equations: applications to financial markets.*
PhD thesis, Dublin City University.

Carr, Michael and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2009)
*Assessment and development of core skills in engineering mathematics.*
In: CETL-MSOR Conference 2009, 7-8 Sept 2009, Milton Keynes, UK.

Breen, Sinéad, Cleary, Joan and O’Shea, Ann
(2009)
*An investigation of the mathematical literacy of first year third-level students in the Republic of Ireland.*
International Journal of Mathematical Education in Science and Technology, 40
(2).
pp. 229-246.
ISSN 1464-5211

Harada, Tomohiro, Nakao, Ken-ichi and Nolan, Brien C.
(2009)
*Einstein-Rosen waves and the self-similarity hypothesis in cylindrical symmetry.*
Physical Review D, 80
(2).
024025-1.
ISSN 1550-7998

Waters, Thomas J. and Nolan, Brien C.
(2009)
*Gauge invariant perturbations of self-similar Lemaître-Tolman-Bondi spacetime: even parity modes with l≥2.*
Physical Review D, 79
(8).
084002-1.
ISSN 1550-7998

## 2008

Kenny, Aisling
(2008)
*Combinatorics, geometry and homology of non-crossing partition lattices for finite reflection groups.*
PhD thesis, Dublin City University.

Corkery, Seán
(2008)
*Propagation of molecular outflows into inhomogeneous media.*
Master of Science thesis, Dublin City University.

Carr, Michael, Sheils, Derek and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2008)
*Reducing choice = increasing learning or decreasing marks?*
In: MEE 2008: 14th SEFI(MWG)/IMA Conference on Mathematical Education of Engineers, 6-9 Apr 2008, Loughborough, UK.

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2008)
*Supporting engineering students within a maths learning centre environment.*
In: 14th Mathematical Education of Engineers Conference (MEE 2008), 6-9 Apr 2008, Loughborough, UK.

## 2007

Menkens, Olaf
(2007)
*Value at risk and self-similarity.*
In: Miller, John, Edelman, David and Appleby, John A.D., (eds.)
Numerical methods for finance.
Chapman & Hall/CRC Financial Mathematics Series, 8
.
CRC Press, pp. 225-253.
ISBN 9781584889250

Carr, Michael and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2007)
*Increasing learning by decreasing choice: what do students think?*
In: Adults Learning Mathematics (ALM 14), 26-29 Jun 2007, Limerick, Ireland.

Nolan, Louise V.
(2007)
*Cylindrically symmetric models of gravitational collapse.*
PhD thesis, Dublin City University.

Nolan, Brien C. and Debnath, Ujjal
(2007)
*Is the shell-focusing singularity of Szekeres space-time visible?*
Physical Review D, 76
(10).
104046-1-104046-10.
ISSN 1550-7998

Devin, Siobhan
(2007)
*On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations.*
PhD thesis, Dublin City University.

## 2006

Clavero, C., Gracia, J.L. and O'Riordan, Eugene
(2006)
*A parameter robust numerical method for a two dimensional reaction-diffusion problem.*
Mathematics of Computation, 74
(252).
pp. 1743-1758.
ISSN 0025-5718

Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115
(2006)
*Making maths more meaningful:successful support structures for struggling students.*
In: Adults Learning Mathematics (ALM 13), 16-20 July 2006, Belfast, Northern Ireland.
ISBN 0-9552717-1-1

Menkens, Olaf
(2006)
*Crash hedging strategies and worst–case scenario portfolio optimization.*
International Journal of Theoretical and Applied Finance, 9
(4).
pp. 597-618.
ISSN 0219-0249

DeLoughry, Edel
(2006)
*Second order Rossby-Haurwitz wave interactions.*
PhD thesis, Dublin City University.

## 2005

Nolan, Brien C. and Waters, Thomas J.
(2005)
*Even perturbations of the self-similar Vaidya space-time.*
Physical Review D, 71
(10).
pp. 104030-1.
ISSN 1550-7998

Dunne, Raymond K.
(2005)
*Finite difference methods for singularly perturbed problems on non-rectangular domains.*
PhD thesis, Dublin City University.

Keegan, Ronan Michael
(2005)
*High resolution simulations of the long-term evolution of jets from young stellar objects using parallel algorithms.*
PhD thesis, Dublin City University.

Kelly, Cónall
(2005)
*On the oscillatory behaviour of stochastic delay equations.*
PhD thesis, Dublin City University.

Korn, Ralf and Menkens, Olaf
(2005)
*On worst-case investment with applications in finance and insurance mathematics.*
In: Deuschel, Jean-Dominique and Greven, Andreas, (eds.)
Interacting Stochastic Systems.
Springer Berlin Heidelberg, pp. 397-407.
ISBN 978-3-540-27110-9

Pickett, Maria Louise
(2005)
*Singularly perturbed problems modelling reaction - convection - diffusion processes.*
PhD thesis, Dublin City University.

Waters, Thomas J.
(2005)
*Stability of naked singularities in self-similar collapse.*
PhD thesis, Dublin City University.

Korn, Ralf and Menkens, Olaf
(2005)
*Worst-case scenario portfolio optimization: a new stochastic control approach.*
Mathematical Methods of Operations Research, 62
(1).
pp. 123-140.
ISSN 1432-5217

## 2004

Appleby, John A.D.
(2004)
*Almost sure subexponential decay rates of scalar Ito-Volterra equations.*
In: 7th Colloquim on the Qualitative Theory of Differential Equations, 14-18 July, 2003, Szeged, Hungary.

Appleby, John A.D. and Mackey, Dana
(2004)
*Polynomial asymptotic stability of damped stochastic differential equations.*
In: The 7th Colloquium on the Qualitative Theory of Differential Equations, 14 - 18 July, 2003, Szeged, Hungary.

Nolan, Brien C.
(2004)
*Physical interpretation of gauge invariant perturbations of spherically symmetric space-times.*
Physical Review D, 70
(4).
044004-1-044004-6.
ISSN 1550-7998

Mena, Filipe, Nolan, Brien C. and Tavakol, Reza
(2004)
*Role of anisotropy and inhomogeneity in Lemaitre-Tolman-Bondi collapse.*
Physical Review D, 70
(8).
084030-1-084030-10.
ISSN 1550-7998

Appleby, John A.D., Győri, István and Reynolds, David W.
(2004)
*Subexponential solutions of scalar linear integro-differential equations with delay.*
Functional DIfferential Equations, 11
(1-2).
pp. 11-18.

## 2003

Bellew, Seamus
(2003)
*A Dirichlet problem for a coupled system of two singularly perturbed convection-diffusion ordinary differential equations.*
Master of Science thesis, Dublin City University.

Dowling, Dónal
(2003)
*Asymptotic behaviour of the eigenvalues of a Schrödinger operator arising from a simple model of predissociation.*
Master of Science thesis, Dublin City University.

Sartori, Luca
(2003)
*The slow-motion approximation for the Gor'kov-Éliashberg equations.*
PhD thesis, Dublin City University.

## 2002

Grant, James J.
(2002)
*An investigation of the airflow in mushroom growing structures, the development of an improved, three-dimensional solution technique for fluid flow and its evaluation for the modelling of mushroom growing structures.*
PhD thesis, Dublin City University.

Nolan, Brien C. and Waters, Thomas J.
(2002)
*Cauchy horizon stability in self-similar collapse: scalar radiation.*
Physical Review D, 66
(10).
104012-1-104012-10.
ISSN 0556-2821

Fingleton, Glenn
(2002)
*Differential equation models for Aujeszky's disease virus in Irish pig herds.*
Master of Science thesis, Dublin City University.

Nolan, Brien C.
(2002)
*Naked singularities in cylindrical collapse of counterrotating dust shells.*
Physical Review D, 65
(10).
104006-1-104006-4.
ISSN 0556-2821

## 2001

Kellegher, Eamon
(2001)
*Expansions of vortex solutions for two vortices close together.*
Master of Science thesis, Dublin City University.

Murphy, Brian T.
(2001)
*Hyperasymptotic solutions of differential equations with singularities of arbitrary integer rank.*
PhD thesis, Dublin City University.

## 2000

Appleby, John A.D.
(2000)
*Exponential asymptotic stability for linear volterra equations.*
Mathematical Proceedings of the Royal Irish Academy
.
pp. 1-7.
ISSN 1393-7197

Nolan, Brien C.
(2000)
*Central singularity in spherical collapse.*
Physical Review D, 62
(4).
044015-1.
ISSN 0556-2821

MacMullen, Helen
(2000)
*Schwarz domain decomposition methods for singularly perturbed differential equations.*
PhD thesis, Dublin City University.

## 1999

Farrell, Paul J.
(1999)
*Estimation of buffer overflow probabilities and economies of scale in ATM multiplexers by analysis of a model of packetized voice traffic.*
PhD thesis, Dublin City University.

Breen, Sinéad
(1999)
*Exponentially-improved asymptotics of single and multidimensional integrals.*
PhD thesis, Dublin City University.

O'Gorman, Martin
(1999)
*On the dynamics of creeping structures.*
Master of Science thesis, Dublin City University.

Bijura, Angelina
(1999)
*Singularly perturbed volterra integral equations.*
PhD thesis, Dublin City University.

Nolan, Brien C.
(1999)
*Strengths of singularities in spherical symmetry.*
Physical Review D, 60
(2).
024014-1-024014-9.
ISSN 0556-2821

Sweeney, Néill
(1999)
*The effect of shear flow on the resistive tearing mode of magnetohydrodynamics in a cylindrical geometry.*
Master of Science thesis, Dublin City University.

Walsh, C.P
(1999)
*Worst case traffic from sources constrained by leaky buckets.*
PhD thesis, Dublin City University.

## 1998

Nolan, Brien C.
(1998)
*A point mass in an isotropic universe: existence, uniqueness, and basic properties.*
Physical Review D, 58
(6).
064006-1.
ISSN 0556-2821

Abdelwahid, Fawzi
(1998)
*A series solution approach to monopole scattering.*
PhD thesis, Dublin City University.

Appleby, John A.D.
(1998)
*Speculation with memory.*
PhD thesis, Dublin City University.

## 1997

Parnell, James E
(1997)
*Dynamic optimal portfolio theory.*
Master of Science thesis, Dublin City University.

## 1996

Murphy, Kieran
(1996)
*Dynamic buckling of linear viscoelastic rods.*
PhD thesis, Dublin City University.

Arthur, Kieran A.
(1996)
*On time dependent and time independent vortex solutions.*
PhD thesis, Dublin City University.

Craddock, Aidan
(1996)
*The optical tunnelling problem for fibres with w-shaped refractive index profiles.*
Master of Science thesis, Dublin City University.

O'Donnell, Anne B.
(1996)
*The work of G.G. Stokes in evaluating the Airy rainbow integral and its ramifications today.*
PhD thesis, Dublin City University.

## 1995

Dunne, Mary T.
(1995)
*A modified mathematical model for HIV transmission, AIDS and intervention strategies in Ireland.*
Master of Science thesis, Dublin City University.

Dowdall, Shane B
(1995)
*Spacelike surfaces of constant mean curvature having continuous internal symmetry in minkowski three space.*
Master of Science thesis, Dublin City University.

## 1993

Abdelwahid, Fawzi
(1993)
*Existence theorems for 90o vortex-vortex scattering.*
Master of Science thesis, Dublin City University.

Lawless, Fiona
(1993)
*Exponential asymptotics and special theory for optical tunnelling.*
PhD thesis, Dublin City University.

Xue, Lanzhen
(1993)
*The numerical solution of the parabolic integrro-differential equations.*
Master of Science thesis, Dublin City University.

## 1992

Hannigan, Paddy
(1992)
*Random walks in random media.*
Master of Science thesis, Dublin City University.

Keenan, Padraig
(1992)
*The solution of two point boundary value problems in a parallel environment.*
Master of Science thesis, Dublin City University.

## 1991

McCarthy, Pauline
(1991)
*A special vortex - vortex scattering process in superconductors.*
Master of Science thesis, Dublin City University.

McGuinness, Colm
(1991)
*Superharmonic solutions of nonlinear differential equations.*
PhD thesis, Dublin City University.

## 1990

Neary, Paul P
(1990)
*Adaptive space-meshing strategies for the numerical solution of parabolic partial differential equations in one space dimension.*
Master of Science thesis, Dublin City University.

Lui, Jinsong
(1990)
*Matched asymptotics for a generalisation of a model equation for optical tunnelling.*
Master of Science thesis, Dublin City University.

Keogh, Gerard
(1990)
*The numerical solution of ordinary and algebraic differential equations using one step methods.*
Master of Science thesis, Dublin City University.

## 1989

Brazel, Neal
(1989)
*A model equation for the optical tunnelling problem using parabolic cylinder functions.*
Master of Science thesis, Dublin City University.

Compelli, Susan
(1989)
*The analytical and numerical analysis of a model of a chemical ocillator.*
Master of Science thesis, Dublin City University.

Milligan, Gerard
(1989)
*The spectrum of the simplified magnetohydrodynamic ballooning equation by computation of the titchmarsh-weyl coefficient.*
Master of Science thesis, Dublin City University.

## 1988

Comiskey, Catherine M.
(1988)
*A mathematical model for measles epidemics in Ireland.*
Master of Science thesis, Dublin City University.

Breen, Kevin
(1988)
*Special solutions of the optical soliton eigenvalue problem.*
Master of Science thesis, Dublin City University.

## 1986

Coghlan, Neil
(1986)
*A bifurcation problem arising from chemical engineering.*
Master of Science thesis, Dublin City University.

**Wed Aug 15 19:50:45 2018 IST**.