Dr Fotini Karakatsani

Lecturer

Fotini graduated with a BSc in Mathematics from the University of Crete, Greece in 1997. She went on to achieve an MSc in Computational Mathematics and Informatics at the University of Ioannina in 2000 and a PhD in Applied Mathematics at the University of Crete in 2007

Qualifications

BSc MSc PhD

Overview

After she obtained her PhD in Applied Mathematics in 2007, Fotini spent three years in Germany working as a Research Associate at the University of Erlangen-Nuremberg.  In September 2010 she joined the Department of Mathematics and Statistics at the University of Cyprus on a temporary lectureship appointment and, one year later, she moved to Bilbao to work as postdoctoral researcher at Basque Centre of Applied Mathematics. In November 2012 she joined the University of Strathclyde as a Research Associate where she spent two years.  She joined the University of Chester in November 2014.

Teaching

During her academic career Fotini has taught a quite large variety of undergraduate mathematics and programming courses in higher education including Calculus, Analysis, Numerical Analysis,  Linear Algebra, Mathematics for Engineers, Matlab for Engineers, Programming in C.

Research

Fotini’s research interests include Numerical Methods for Partial Differential Equations, Implicit-Explicit Schemes, Finite Element Method (standard Galerkin, DG, stabilized), A priori and A Posteriori Error Analysis of Time Dependent Problems, Adaptive Methods and Discrete Maximum Principle.

Published work

  • An a posteriori error estimator for fully discrete approximations of linear parabolic equations by the fractional-step  ϑ-scheme, http://arxiv.org/abs/1404.0497.
  • (with E. Baensch and Ch. Makridakis) The effect of mesh modification in time on the error control of fully discrete approximation for parabolic equations, Applied Numerical Mathematics, 67(2013), pp. 35-63.
  • (with E. Baensch and Ch. Makridakis) A posteriori error control for fully discrete Crank-Nicolson schemes, SIAM J. Numer. Anal., 50-6 (2012), pp. 2845-2872.
  • A posteriori error estimates for the fractional-step ϑ-scheme for linear parabolic equations, IMA J. Numer. Analysis, 32(1), 2012, pp. 141-162.
  • (with Charalambos Makridakis) A Posteriori Error Estimates for Approximations of Time-Dependent Stokes Equation, IMA J. Numer. Analysis, 27(4), 2007, pp.741-764.
  • (with Georgios Akrivis) Modifed implicit-explicit BDF methods for nonlinear parabolic equations, BIT, 43(3), 2003, pp. 467-483.
  • (with Georgios Akrivis and Ohannes Karakashian) Linearly implicit methods for nonlinear evolution equations, Numer. Math., 94(3), 2003, pp. 403-418.