Most significant publications
- Tomasz Kapela, Carles Simo, Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems, Nonlinearity 30(3) (2017), 965-986
- Tomasz Kapela, Piotr Zgliczyński, A Lohner-type algorithm for control systems and ordinary differential inclusions, Discrete and Continuous Dynamical Systems - Series B 11 (2009), 365-385
- Tomasz Kapela, Carles Simo, Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight, Nonlinearity 20(5) (2007), 1241-1255
Recent publications
- Donald Woukeng Feudjio, Damian Sadowski, Jakub Leskiewicz, Michał Lipiński, Tomasz Kapela, Rigorous computation in dynamics based on topological methods for multivector fields, Journal of Applied and Computational Topology (2023),
- Tomasz Kapela, Daniel Wilczak, Piotr Zgliczyński, Recent advances in a rigorous computation of Poincaré maps, Communications in Nonlinear Science and Numerical Simulation 110 (2022), 106366
- Tomasz Kapela, Marian Mrozek, Daniel Wilczak, Piotr Zgliczyński, CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems, Communications in Nonlinear Science and Numerical Simulation 101 (2021), 105578
- Tamal Dey, Mateusz Juda, Tomasz Kapela, Jacek Kubica, Michał Lipiński, Marian Mrozek, Persistent Homology of Morse Decompositions in Combinatorial Dynamics, SIAM Journal on Applied Dynamical Systems 18-1 (2019), 510-530
- Tomasz Kapela, Carles Simo, Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems, Nonlinearity 30(3) (2017), 965-986
Interests
* dynamical systems
* hamiltonian systems, N-body problem
* computer assisted proofs
* rigorous numerical methods
* computational topology
Major awards and honours
- Nagroda Prezesa Rady Ministrów za wyróżniającą się rozprawę doktorską, 2005, Prezes Rady Ministrów
Tomasz Kapela
academic degree/title Doctor of Philosophy (PhD) positionresearch and faculty staff member group, assistant professor
unit
- Division of Computational Mathematics
- Institute of Computer Science and Computational Mathematics
tomasz.kapela@uj.edu.pl
www