ΣΠΟΥΔΕΣ

Research Interest

Numerical solution of nonlinear Partial Differential Equations using:

· The method of lines.

· Modified predictor-corrector methods.

· Exponential time differencing methods.

· Adaptive methods

with applications to soliton waves and in general problems of the physical world.

Current areas of research

Exponential time differencing method of lines

In cooperation with

Professor Abdul Q. M. Khaliq, Department of Mathematical Sciences and Center for Computational Science, Middle Tennessee State University, Murfreesboro, TN 37132 USA http://www.mtsu.edu/~akhaliq

Published in:

A. G. Bratsos and A Q. M. Khaliq, A conservative exponential time differencing method for the nonlinear Schrödinger equation, in: International Journal of Computer Mathematics.

Other scientific activities

Member of the Editorial Board of

Journal of Difference Equations

http://www.hindawi.com/journals/jde/editors/

International Journal of Computational and Applied Mathematics (IJCAM)
http://www.ripublication.com/ijcam.htm

International Journal of Computational Mathematics and Numerical Simulation (IJCMNS)
http://serialsjournals.com/editorial-board.php?journals_id=36

Reviewer in:

- SeMa

http://www.springer.com/mathematics/journal/40324

- Journal Computational Applied Mathematics

http://ees.elsevier.com/cam/

- Numerical Methods Partial Differential Equations

http://www3.interscience.wiley.com/cgi-bin/jhome/35979

- Applied Mathematical Modelling

http://ees.elsevier.com/apm

- Computer Physics Communications

http://ees.elsevier.com/cpc/

- Discrete Dynamics in Nature and Society