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- DCU Subject Areas (45)
- Mathematics (45)
**Differential equations**(45)

- Mathematics (45)

**45**.

## 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

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
(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, Crane, Martin ORCID: 0000-0001-7598-3126 and Ruskin, Heather J.
(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.

## 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.

**Wed Sep 22 00:56:46 2021 IST**.