Most significant publications
- Gábor Benedek, Tibor Krisztin, Robert Szczelina, Stable Periodic Orbits for Delay Differential Equations with Unimodal Feedback, Journal of Dynamics and Differential Equations 38 (2026), 1-35
- Anna Gierzkiewicz-Pieniążek, Robert Szczelina, Sharkovskii theorem for infinite dimensional dynamical systems, Communications in Nonlinear Science and Numerical Simulation 146 (2025), 108770
- Piotr Zgliczyński, Robert Szczelina, High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays, Foundations of Computational Mathematics 24 (2024), 1389-1454
- Robert Szczelina, Piotr Zgliczyński, Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation, Foundations of Computational Mathematics 18 (2018), 1299-1332
- Robert Szczelina, Piotr Zgliczyński, A Homoclinic Orbit in a Planar Singular ODE---A Computer Assisted Proof, SIAM Journal on Applied Dynamical Systems 12 (2013), 1541-–1565
Recent publications
- Gábor Benedek, Tibor Krisztin, Robert Szczelina, Stable Periodic Orbits for Delay Differential Equations with Unimodal Feedback, Journal of Dynamics and Differential Equations 38 (2026), 1-35
- Anna Gierzkiewicz-Pieniążek, Robert Szczelina, Sharkovskii theorem for infinite dimensional dynamical systems, Communications in Nonlinear Science and Numerical Simulation 146 (2025), 108770
- Piotr Zgliczyński, Robert Szczelina, High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays, Foundations of Computational Mathematics 24 (2024), 1389-1454
- Jakub Hryc, Robert Szczelina, Michał Markiewicz, Marta Pasenkiewicz-Gierula, Lipid/water interface of galactolipid bilayers in different lyotropic liquid-crystalline phases, Frontiers in Molecular Biosciences Volume 9 (2022), 958537
- Michał Markiewicz, Marta Pasenkiewicz-Gierula, Robert Szczelina, Data for molecular dynamic simulations in the OPLSAA force field: Partial charges of cholesterol, C7-hydroxycholesterol and C7-hydroperoxycholesterol, torsional parameters for the hydroperoxy group of C7-hydroperoxycholesterol, Data in Brief Volume 39 (2021), 107483
Interests
computer assisted proofs, dynamical systems, rigorous numerics, computer simulation, delay differential equations, bioinformatics, molecular simulation
Major awards and honours
- Program stypendialny im. M. Bekkera, 2024, Narodowa Agencja Wymiany Akademickiej (NAWA)
Robert Szczelina
academic degree/title Doctor of Philosophy (PhD) positionresearch group, assistant professor
unit
- Division of Computational Mathematics
- Institute of Computer Science and Computational Mathematics
robert.szczelina@uj.edu.pl
www