Numerical Analysis and Singularly Perturbed Differential Equations


Speaker: Eugene O'Riordan, Dublin City University

Date: Wednesday, March 25th

Time: 3.00pm

Location: Science Hub, Room H2.20

Abstract:

In this talk, I will discuss the role of numerical analysis in the design of numerical algorithms to approximately solve certain classes of singularly perturbed differential equations. The solutions of singularly perturbed differential equation have narrow layer regions in the domain, where the solution exhibits steep gradients. Classical numerical methods suffer major defects in these regions. Alternative computational approaches will be discussed and the central issues in the associated numerical analysis of these layer-adapted algorithms will be outlined.

 

ACM 2014_15