Visit the "Adaptive methods for solving PDEs (Adaptsol)" project page, supported by the Hellenic Foundation for Research and Innovation (H.F.R.I.) under the "2nd Call for H.F.R.I. Research Projects to Support Postdoctoral Researchers" (SA.5, Proposal No: 1247), hosted by the Institute of Applied & Computational Mathematics, FORTH.

• Ph.D., University of Amsterdam, 2018
  Thesis: Optimal Adaptive Wavelet Methods for solving First Order System Least Squares
  Advisor: Prof. Rob Stevenson
• M.Sc., Applied Mathematical Sciences, Heriot-Watt University, 2013
• B.Sc., Mathematics, University of the Aegean, Samos, 2012

• Numerical methods for PDEs
• Adaptive approximation
• Multiscale methods

• With Charalampos Makridakis, Aaron Pim, and Tristan Pryer, Deep Uzawa for kinetic transport with Lagrange enforced boundaries, in preparation, 2025
• With Charalampos Makridakis and Tristan Pryer, Residual minimisation for transport-based optimal control, in preparation, 2025
• With Lewin Ernst and Karsten Urban, A posteriori certification for physics-informed neural networks, preprint , 2025, arXiv.2502.20336
• With Rob Stevenson, An optimal adaptive tensor product wavelet solver of a space-time FOSLS formulation of parabolic evolution problems, Advances in Computational Mathematics, 2019, doi:10.1007/s10444-018-9644-2
• With Rob Stevenson, An optimal adaptive wavelet method for first-order system least squares, Numerische Mathematik, 140(1),191-237, 2018, doi:10.1007/s00211-018-0961-7
• With Rob Stevenson, A quadratic finite element wavelet Riesz basis, International Journal of Wavelets, 2018, doi:10.1142/S0219691318500339
• Optimal Adaptive Wavelet Methods for solving First Order System Least Squares, Ph.D. Thesis, UvA-Dare (Digital Academic Repository), hdl:11245.1/70e4d2bc

Current

Lecturing at B.Sc. Mathematics, University of Crete:

• Numerical Linear Algebra, Spring Semester 2024-2025

Past

Lecturing at B.Sc. Mathematics, University of Patras:

• Numerical solution of transcendental equations, Fall Semester 2022-2023
• Numerical solution of ODEs, Spring Semester 2022-2023
• Numerical solution of PDEs, Spring Semester 2022-2023, 2021-2022
• Numerical Linear Algebra, Fall Semester 2021-2022
• Discrete Mathematics, Spring Semester 2021-2022

Tutoring at University of Amsterdam:

• Numerical Algorithms, M.Sc. Computational Sciences, Fall Semester 2016-2017
• Numerical Analysis, B.Sc. Mathematics, Spring Semester 2015-2016, Spring Semester 2014-2015, Fall Semester 2013-2014
• Differential Equations, B.Sc. Mathematics, Fall Semester 2015-2016, Fall Semester 2014-2015, Spring Semester 2013-2014, Spring Semester 2012-2013

© 2025 Nikolaos Rekatsinas