Christos Pervolianakis
Faculty of Mathematics and Computer Science
Friedrich-Schiller Universität Jena
Ernst-Abbe-Platz 2
Jena
Germany
Room: 3533
Tel.: +49 (0) 3641-9-46133
E-mail: christos.pervolianakis AT uni-jena.de
I am a postdoctoral researcher (Wissenschaftlicher Mitarbeiter) in the group of Prof. Dr. Dietmar Gallistl at Friedrich Schiller University Jena.
Teaching
Current teaching (Spring Semester 2025)- Lecture
- Lecture, at Faculty of Mathematics and Computer Science, Friedrich-Schiller Universität Jena
- Seminar Numerical Analysis (Bsc, MSc), Fall 2024
- Theory and Numerical Methods for Partial Differential Equations I (MSc), Spring 2024
- Verfahren der Numerischen Mathematik und des Wissenschaftlichen Rechnens im Einsatz (Bsc), Spring 2024
- Numerical Analysis of Ordinary Differential Equations (MSc), Fall 2023
- Exercises, at Faculty of Mathematics and Computer Science, Friedrich-Schiller Universität Jena,
- Mathematik für Werkstoff- und Geowissenschaften I (Bsc), Fall 2024
- Theory and Numerical Methods for Partial Differential Equations I (MSc), Fall 2023,
- Iterative Solvers for Partial Differential Equations (MSc), Spring 2023,
- Numerical Analysis, Spring 2023
- Exercises, at Department of Mathematics & Applied Mathematics, University of Crete,
- Numerical Solution of Ordinary Differential Equations, Spring 2017, Spring 2018, Spring 2019, Fall 2019, Fall 2020, Fall 2021, Fall 2021, Fall 2022.
- Numerical Analysis, Spring 2016, Spring 2022.
- Numerical Solution of Partial Differential Equations, Fall 2018, Spring 2020, Spring 2021, Summer 2021 (Exam Preparation Course)
Research
My research interests include:
- numerical analysis
- numerical solution of partial differential equations with finite element method
- a posteriori error estimation and adaptivity
Publications
Peer-reviewed- (2022, with P. Chatzipantelidis) [arxiv.org] Error analysis of a backward Euler positive preserving stabilized scheme for a Chemotaxis system.
- (2024) [arxiv.org] Error analysis of an Algebraic Flux Correction Scheme for a nonlinear Scalar Conservation Law Using SSP--RK2.
- (2024) [arxiv.org] Numerical analysis of a stabilized scheme for an optimal control problem governed by a parabolic convection--diffusion equation.
- (2025) Analysis of a stabilized finite element scheme for a viscous Hamilton--Jacobi equation.
CV
Education- PhD (2023) in Applied and Computational Mathematics Department of Mathematics & Applied Mathematics, University of Crete
- MSc (2017) in Applied Mathematics Department of Mathematics & Applied Mathematics, University of Crete
- Master Thesis: A posteriori error estimation for elliptic equations (in greek) (Poster)(in greek)
- Advisor: Panagiotis Chatzipantelidis
- BSc (2015) in Mathematics Department of Mathematics & Applied Mathematics, University of Crete