A

Alansari, Tahani (2019) Highly nonlinear stochastic and deterministic differential equations with time-varying shocks: asymptotic behaviour and numerical analysis. PhD thesis, Dublin City University.

Abu Shamaleh, Taghreed (2010) A technique for implementing complex boundary configurations in industrial plasma modelling and simulation. Master of Science thesis, Dublin City University.

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.

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.

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

B

Breen, Cormac ORCID: 0000-0002-1606-8208 and Taylor, Peter ORCID: 0000-0002-8416-6408 (2018) Vacuum polarization for varying quantum scalar field parameters in Schwarzschild--anti--de Sitter spacetime. Physical Review D, 98 (10). p. 105006. ISSN 1550-7998

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.

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

C

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.

Carr, Michael, Farrell, Fionnuala and Ní Fhloinn, Eabhnat ORCID: 0000-0002-3840-2115 (2017) A project-based-learning approach to teaching first-order and second-order differential equations to engineers. In: SEFI 2017 Annual Conference, 18-21 Sept 2017, Azores, Portugal.

Condon, Marissa, Iserles, Arieh and Norsett, S.P. (2014) Differential equations with general highly oscillatory forcing terms. Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences , 470 (2161). ISSN 1471-2946

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

Condon, Marissa, Deaño, Alfredo and Iserles, Arieh (2010) On second-order differential equations with highly oscillatory forcing terms. Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences, 466 (2118). pp. 1809-1828. ISSN 1364-5021

Condon, Marissa, Deaño, Alfredo and Iserles, Arieh (2010) On systems of differential equations with extrinsic oscillation. Discrete and Continuous Dynamical Systems (DCDS-A), 28 (4). pp. 1345-1367. ISSN 1553-5231

Condon, Marissa, Deaño, Alfredo and Iserles, Arieh (2009) On highly oscillatory problems arising in electronic engineering. ESAIM Mathematical Modelling and Numerical Analysis, 43 (4). pp. 785-804. ISSN 0764-583X

Condon, Marissa, Deaño, Alfredo, Iserles, Arieh, Maczynski, Kornel and Xu, Tao (2009) On numerical methods for highly oscillatory problems in circuit simulation. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 28 (6). pp. 1607-1618. ISSN 0332-1649

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

Condon, Marissa, Dautbegovic, Emira and Brazil, T. J. (2002) An efficient numerical algorithm for the transient analysis of high-frequency non-linear circuits. In: 32nd European Microwave Conference, 2002, 23-26 September 2002, Milan, Italy.

D

Degirmenci, Elif (2012) Numerical study on metallic photonic band-gap structures for terahertz waveguiding. 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.

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

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

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

Dautbegovic, Emira, Condon, Marissa and Brennan, Conor ORCID: 0000-0002-0405-3869 (2004) An efficient nonlinear circuit simulation technique. In: RFIC 2004 - Radio Frequency Integrated Circuits Symposium, 6-8 June 2004, Fort Worth, TX, USA. ISBN 0-7803-8333-8

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.

F

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

H

Hillmann, Andreas ORCID: 0000-0002-6517-1615 (2021) Predicting the outcomes of HIV treatment interruptions using computational modelling. PhD thesis, Dublin City University.

Hyland, Diarmaid ORCID: 0000-0003-3787-5153, van Kampen, Paul and Nolan, Brien C. ORCID: 0000-0002-9356-6833 (2019) Introducing direction fields to students learning ordinary differential equations (ODEs) through guided inquiry. International Journal of Mathematical Education in Science and Technology, 52 (3). pp. 331-348. ISSN 0020-739X

Hyland, Diarmaid ORCID: 0000-0003-3787-5153 (2018) Investigating students' learning of differential equations in physics. PhD thesis, Dublin City University.

Hyland, Diarmaid ORCID: 0000-0003-3787-5153, van Kampen, Paul and Nolan, Brien C. ORCID: 0000-0002-9356-6833 (2017) Outcomes of a service teaching module on ODEs for physics students. International Journal of Mathematical Education in Science andTechnology, 49 (5). pp. 743-758. ISSN 0020-739X

Hillmann, Andreas ORCID: 0000-0002-6517-1615, Crane, Martin ORCID: 0000-0001-7598-3126 and Ruskin, Heather J. ORCID: 0000-0001-7101-2242 (2017) HIV models for treatment interruption: adaptation and comparison. Physica A Statistical Mechanics and its Applications, 483 . pp. 44-56. ISSN 0378-4371

K

Kelly, Cónall (2005) On the oscillatory behaviour of stochastic delay equations. PhD 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.

L

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

M

McGuinness, Ed (2012) Role of delay differential equations in modelling low level HIV viral load. PhD thesis, Dublin City University.

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

McMahon, Niall (2008) The mechanics of drug dissolution: a demonstration of the potential of mathematical and numerical methods for solving flow related problems in pharmaceutics. PhD thesis, Dublin City University.

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

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

N

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

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.

P

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

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

Q

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

S

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

T

Taylor, Peter ORCID: 0000-0002-8416-6408 and Breen, Cormac ORCID: 0000-0002-1606-8208 (2021) Semiclassical backreaction on asymptotically anti--de Sitter black holes. Physical Review D, 103 (2). ISSN 1550-7998

W

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