Research | Mathematical Sciences
Analysis of Differential Equations
Differential equations are one of the key building-blocks in describing dynamic models of evolution in diverse fields of science, engineering and life sciences.
Within the School there is particular interest in considering differential equations incorporate randomness, which plays a vital role in modelling financial and biological phenomena. We are also interested in equations which model layer phenomena which arise in mathematical models of fluid dynamics and semiconductor device simulation. In addition there is also keen interest in integral equations which describe systems with memory , or in which forces depend on the past as well as the present. These occur in the study of smart materials, demography and financial mathematics modeling. Academic staff working in this area:
If you are interested in doing research in Differential Equations at DCU, please contact the staff member above. See also general information For Prospective Research Students.
- M. Stynes, E. O' Riordan and J. L. Gracia, Error analysis of a finite difference method for a time-fractional advection--diffusion equation, SIAM J. Numer. Anal, vol. 55, no. 2, 1057-1079, 2017. DOI link
- A. F. Hegarty and E. O' Riordan, Parameter-uniform numerical method for singularly perturbed convection-diffusion problem on a circular domain, Advances in Computational Mathematics, vol. 43, no. 5, 885-909, 2017. DOI link
- J.L. Gracia, E. O' Riordan and M. Stynes, A fitted scheme for a Caputo initial-boundary value problem, J. Sci. Comp. (to appear in 2018) DOI link