Chair Professor Martin Stynes

Applied and Computational Mathematics

Office Location
Room A202

1972 M.Sc. in Mathematics, University College Cork, Ireland
1977 Ph.D. in Mathematics, Oregon State University, USA

Professional Employment

Martin Stynes was a Lecturer at Waterford Regional Technical College, Ireland from 1979 to 1984.
He then moved to University College Cork, where he was successively Lecturer, Statutory Lecturer, Professor (Scale 2) — these are the equivalents of assistant/associate/full professor. He was a Fulbright Research Professor at Kent State University (USA) in 1990, Royal Society Visiting Fellow at Oxford University (U.K.) in 1991, Visiting Professor at University of Colorado at Denver (USA) in 1997, DFG Visiting Professor at Otto von Guericke University Magdeburg (Germany) in 1998, Visiting Professor at the University of South Carolina (USA) in 2004, and DFG Mercator Guest Professor at the Technical University of Dresden (Germany) in 2008. He was the elected President of the UK and Republic of Ireland Section of SIAM 2003-5.

He serves on the editorial boards of the journals Advances in Computational Mathematics, Computational Methods in Applied Mathematics, Fractional Calculus and Applied Analysis, Journal of Scientific Computing, and Mathematical Proceedings of the Royal Irish Academy.

He took early retirement from University College Cork in 2012 in order to concentrate on research. He has been at CSRC since 2014.

Research Interests

Numerical analysis and solution of singularly perturbed differential equations and fractional-derivative differential equations

Researchgate page:

ORCID QR code:


A copy of my 2018 book "Singularly Perturbed Differential Equations and Their Numerical Solution" is availablehere.

This copy is almost identical to the final book published by the American Mathematical Society and described on the AMS webpage   (The copy has black and white figures, but the AMS book has colour figures.)



See also the above invited visiting professorships
Conference in honor of 60th birthday, Technical University of Dresden, Germany, 2011
Special Issue of journal Computational Methods in Applied Mathematics to honour 60th birthday, 2012

Representative Publications
1.  M.Stynes & D.Stynes, Convection-Diffusion Problems: An Introduction to Their Analysis and Numerical Solution, Graduate Studies in Mathematics Vol.196, American Math. Society, Providence, 2018. Print ISBN: 978-1-4704-4868-4. Electronic ISBN: 978-1-4704-5021-2.
2.  M.Stynes, E.O'Riordan & Jose Luis Gracia, Error analysis of a finite difference method on graded meshes for a time-fractional diffusion equation, SIAM J. Numer. Anal. 55 (2017), 1057-1079. DOI: 10.1137/16M1082329
3.  M.Stynes, Too much regularity may force too much uniqueness, Fract. Calc. Appl. Anal. 19 (2016), no.6, 1554--1562. DOI: 10.1515/fca-2016-0080
4.  R.Lin & M.Stynes, A balanced finite element method for singularly perturbed reaction-diffusion problems, SIAM J. Numer. Anal. 50 (2012), no. 5, 2729-2743.
5.  H.-G.Roos, M.Stynes & L.Tobiska, Robust Numerical Methods for Singularly Perturbed Differential Equations, Convection-diffusion-reaction and flow problems (Second edition). Springer Series in Computational Mathematics. Springer-Verlag, Berlin, 2008.
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