Katedra Matematyki Obliczeniowej - lista publikacji

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1-200 z 248.

2024

248.
Pablo Almaraz, Piotr Kalita, Jose A. Langa, Fernando Soler-Toscano
Structural stability of invasion graphs for Lotka-Volterra systems, Journal of Mathematical Biology vol. 88 (2024), article number 64
247.
Juan Garcia-Fuentes, Piotr Kalita, Jose A. Langa
Forwards attractor structures in a planar cooperative non-autonomous Lotka-Volterra system, Qualitative Theory of Dynamical Systems vol. 23 (2024), article number 163
246.
Bogdan Batko, Marcio Gameiro, Ying Hung, William Kalies, K. Mischaikow, Ewerton Vieira
Identifying Nonlinear Dynamics with High Confidence from Sparse Data, SIAM Journal on Applied Dynamical Systems vol. 23(1) (2024), 383-409
245.
Matheus Cheque Bortolan, Juliana Fernandes, Juan Garcia-Fuentes, Piotr Kalita
On maximal attractors for dynamical systems. Application to a semilinear parabolic problem with controlled growth, Journal of Evolution Equations vol. 24 (2024), Article number 38
244.
Piotr Kalita, Jakub Banaśkiewicz, Piotr Zgliczyński
Computer-assisted validation of the existence of periodic orbit in the Brusselator system, Advances in Differential Equations vol. accepted for publication (2024),
243.
Piotr Kalita, Everaldo de Mello Bonotto
Long-time behavior for impulsive generalized semiflows, Nonlinear Analysis-Hybrid Systems vol. 51 (2024), 101432

2023

242.
Mateusz Przybylski, Marian Mrozek, Jim Wiseman
The Szymczak Functor and Shift Equivalence on the Category of Finite Sets and Finite Relations, Journal of Dynamics and Differential Equations (2023),
241.
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),
240.
Adrian Hill, Zachary Lebo, Miroslaw Andrejczuk, Sylwester Arabas, Piotr Dziekan, Paul Field, Andrew Gettelman, Fabian Hoffmann, Hanna Pawlowska, Ryo Onishi, Benoit Vié
Toward a Numerical Benchmark for Warm Rain Processes, Journals of the Atmospheric Sciences (2023),
239.
Jakub Banaśkiewicz, Alexandre Nolasco de Carvalho, Juan Garcia-Fuentes, Piotr Kalita
Autonomous and non-autonomous unbounded attractors in evolutionary problems, Journal of Dynamics and Differential Equations (2023),
238.
Daniel Wilczak, Maciej Capiński, Warwick Tucker, Jason D. Mireles James, Jan Bouwe van den Berg
Computer assisted proofs in dynamical systems, Communications in Nonlinear Science and Numerical Simulation vol. 118 (2023), 106998
237.
Michał Lipiński, Jacek Kubica, Marian Mrozek, Thomas Wanner
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces, Journal of Applied and Computational Topology vol. 7 (2023), 139–184
236.
Bogdan Batko
The Morse Equation in the Conley Index Theory for Discrete Multivalued Dynamical Systems, Journal of Dynamics and Differential Equations vol. 35 (2023), 2725-2742

2022

235.
Marcin Żelawski, Grzegorz Migdałek
Measuring population-level plant gene flow with topological data analysis, Ecological Informatics (2022),
234.
Robert Szczelina, Piotr Zgliczyński
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays, Foundations of Computational Mathematics (2022),
233.
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 vol. Volume 9 (2022), 958537
232.
Tamal Dey, Michał Lipiński, Marian Mrozek, Ryan Slechta
Tracking dynamical features via continuation and persistence, International Symposium on Computational Geometry [SoCG], (2022), 35:1-35:17
231.
Jeongbin Park, Gilles Duvert, Alain Coulais, Gregory V. Jung, Sylwester Arabas, Brian Barker, Takeshi Enomoto, Sylvain Flinois, Oliver Gressel, Tomas Hillberg, Thibault Huillet, Jan Kohnert, Orion Poplawski, Eloi Rozier de Linage, Remi A. Solås, Luke Stagner, Ole Streicher, James Tappin, Thierry Thomas, Jingwei Wang, Christian Wimmer
GNU Data Language 1.0: a free/libre and open-source drop-in replacement for IDL/PV-WAVE, Journal of Open Source Software vol. 7(80) (2022), 4633
230.
Tamal K. Dey, Michał Lipiński, Marian Mrozek, Ryan Slechta
Tracking Dynamical Features via Continuation and Persistence, 38th International Symposium On Computational Geometry (socg 2022) (2022),
229.
Piotr Zgliczyński, Małgorzata Moczurad
Central configurations on the plane with N heavy and k light bodies, Communications in Nonlinear Science and Numerical Simulation vol. 114 (2022), 4991-4998
228.
Piotr Bartman-Szwarc, Jakub Banaśkiewicz, Szymon Drenda, Maciej Manna, Michael Olesik, Paweł Rozwoda, Michał Sadowski, Sylwester Arabas
PyMPDATA v1: Numba-accelerated implementation of MPDATA with examples in Python, Julia and Matlab, Journal of Open Source Software vol. 7(77) (2022),
227.
Piotr Bartman-Szwarc, Oleksii Bulenok, Kamil Górski, Anna Jaruga, Grzegorz Łazarski, Michael Olesik, Bartosz Piasecki, Clare Singer, Aleksandra Talar, Sylwester Arabas
PySDM v1: particle-based cloud modelling package for warm-rain microphysics and aqueous chemistry, Journal of Open Source Software vol. 7(72) (2022), 3219
226.
Michael Olesik, Jakub Banaśkiewicz, Piotr Bartman-Szwarc, Manuel Baumgartner, Simon Unterstrasser, Sylwester Arabas
On numerical broadening of particle-size spectra: a condensational growth study using PyMPDATA 1.0, Geoscientific Model Development vol. 15 (9) (2022), 3879–3899
225.
Maciej Capiński, Marcel Guardia, Pau Martin , Tere Seara, Piotr Zgliczyński
Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem, Journal of Differential Equations vol. 320 (2022), 316-370
224.
Anna Gierzkiewicz-Pieniążek, Piotr Zgliczyński
From the Sharkovskii theorem to periodic orbits for the R\"ossler system, Journal of Differential Equations vol. 314 (2022), 733-751
223.
Tomasz Kapela, Daniel Wilczak, Piotr Zgliczyński
Recent advances in a rigorous computation of Poincaré maps, Communications in Nonlinear Science and Numerical Simulation vol. 110 (2022), 106366
222.
Marian Mrozek, Roman Srzednicki, Justin Thorpe, Thomas Wanner
Combinatorial vs. classical dynamics: Recurrence, Communications in Nonlinear Science and Numerical Simulation vol. 108 (2022), 106226, 1-30

2021

221.
Marcin Żelawski, Tomasz Hachaj
The application of topological data analysis to human motion recognition, Czasopismo Techniczne/Technical Transactions (2021),
220.
Marcin Żelawski, Małgorzata Warmuzek, Tomasz Jałocha
Application of the convolutional neural network for recognition of the metal alloys microstructure constituents based on their morphological characteristics, Computational Materials Science (2021),
219.
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 vol. Volume 39 (2021), 107483
218.
Anna Gierzkiewicz-Pieniążek, Piotr Zgliczyński
Periodic orbits in R\"ossler system, Communications in Nonlinear Science and Numerical Simulation vol. 101 (2021), 105891
217.
Michał Markiewicz, Bożena Milanovič (Z), Marta Pasenkiewicz-Gierula, Witold K. Subczynski, Robert Szczelina
Chirality affects cholesterol-oxysterol association in water, a computational study, Computational and Structural Biotechnology Journal (2021), 4319-4335
216.
Piotr Bartman-Szwarc, Sylwester Arabas
On the Design of Monte-Carlo Particle Coagulation Solver Interface: A CPU/GPU Super-Droplet Method Case Study with PySDM, International Conference on Computational Science [ICCS] vol. 12743 (2021), 16-30
215.
Jakub Banaśkiewicz, Piotr Kalita
Convergence of Non-autonomous Attractors for Subquintic Weakly Damped Wave Equation, Applied Mathematics and Optimization vol. 84 (2021), 943-978
214.
Piotr Kalita, Piotr Zgliczyński
Rigorous FEM for 1D Burgers Equation, SIAM Journal on Applied Dynamical Systems vol. 20 (2021), 853–907
213.
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 vol. 101 (2021), 105578
212.
Anna Denkowska, Piotr Gwiazda, Piotr Kalita
On renormalized solutions to elliptic inclusions with nonstandard growth, Calculus of Variations and Partial Differential Equations vol. 60 (2021), Article number: 21
211.
Paweł Dłotko, Mateusz Juda, Michał Lipiński, Matthias Zeppelzauer, Bartosz Zieliński
Persistence codebooks for topological data analysis, Artificial Intelligence Review vol. 54 (3) (2021), 1969-2009

2020

210.
Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski
Nonlinear Semigroups and Their Perturbations in Hydrodynamics. Three Examples vol. 325 (2020), "Semigroups of Operators – Theory and Applications ", Springer
209.
Tamal K. Dey, Marian Mrozek, Ryan Slechta
Persistence of the Conley Index in Combinatorial Dynamical Systems, International Symposium on Computational Geometry [SoCG] vol. 36 (2020), 37:1-37:17
208.
Ulrich Bauer, Herbert Edelsbrunner, Grzegorz Jabłoński, Marian Mrozek
Čech–Delaunay gradient flow and homology inference for self-maps, Journal of Applied and Computational Topology vol. 4 (2020), 455–480
207.
Matteo Caggio, Piotr Kalita, Grzegorz Łukaszewicz, Krzysztof Mizerski
Vertical heat transport at infinite Prandtl number for micropolar fluid, Archives of Mechanics vol. 72 (2020), 525-553
206.
Mateusz Juda
Unsupervised Features Learning for Sampled Vector Fields, SIAM Journal on Applied Dynamical Systems vol. 19(4) (2020), 2720-2736
205.
Małgorzata Moczurad, Piotr Zgliczyński
Central configurations in spatial $n$-body problem for $n=5,6$ with equal masses, Celestial Mechanics and Dynamical Astronomy (2020), 132:56
204.
Marek Śmieja, Maciej Kołomycki, Łukasz Struski, Mateusz Juda, Mario A.T. Figueiredo
Iterative Imputation of Missing Data using Auto-encoder Dynamics, International Conference on Neural Information Processing [ICONIP] vol. Lecture Notes in Computer Science, volume 12534 (2020), 258-269
203.
Marek Śmieja, Maciej Kołomycki, Łukasz Struski, Mateusz Juda, Mario A.T. Figueiredo
Can auto-encoders help with filling missing data?, International Conference On Learning Represenation (workshop Track) (2020), 6
202.
Roberto Barrio, Daniel Wilczak
Distribution of stable islands within chaotic areas in the non-hyperbolic and hyperbolic regimes in the Henon-Heiles system, Nonlinear Dynamics vol. 102 (2020), 403-416
201.
Daniel Wilczak, Piotr Zgliczyński
A geometric method for infinite-dimensional chaos: Symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line, Journal of Differential Equations vol. 269 (2020), 8509-8548
200.
Piotr Kalita, Grzegorz Łukaszewicz
Micropolar meets Newtonian in 3D. The Rayleigh-Bénard problem for large Prandtl numbers, Nonlinearity vol. 33 (2020), 5686
199.
Leszek Gasiński, Piotr Kalita
On dynamic contact problem with generalized Coulomb friction, normal compliance and damage, Evolution Equations and Control Theory vol. 9 (2020), 1009-1026
198.
Jonathan Ariel Barmak, Marian Mrozek, Thomas Wanner
A Lefschetz fixed point theorem for multivalued maps of finite spaces, Mathematische Zeitschrift vol. 294 (2020), 1477–1497
197.
Bogdan Batko, K. Mischaikow, Marian Mrozek, Mateusz Przybylski
Conley Index Approach to Sampled Dynamics, SIAM Journal on Applied Dynamical Systems vol. 19-1 (2020), 665-704
196.
Krzysztof Baczyński, Michał Markiewicz, Marta Pasenkiewicz-Gierula, Robert Szczelina
Network of lipid interconnections at the interfaces of galactolipid and phospholipid bilayers, Journal of Molecular Liquids vol. 298 (2020), 1-9
195.
Bogdan Batko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
Linking combinatorial and classical dynamics: Conley index and Morse decompositions, Foundations of Computational Mathematics vol. 20 (2020), 967— 1012
194.
Sylwester Arabas, Ahmad Farhat
Derivative pricing as a transport problem: MPDATA solutions to Black–Scholes-type equations, Journal of Computational and Applied Mathematics vol. 373 (2020), 112275
193.
Piotr Kalita, Piotr Zgliczyński
On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions, Proceedings of the Royal Society of Edinburgh Section A: Mathematics vol. 150 (2020), 2025-2054
192.
Everaldo de Mello Bonotto, Piotr Kalita
On attractors of generalized semiflows with impulses, Journal of Geometric Analysis vol. 30 (2020), 1412-1449

2019

191.
Mateusz Przybylski
Algorithmic Computation of the Conley Index for Multivalued Maps with No Continuous Selector in Cubical Spaces, Schedae Informaticae vol. 28 (2019), 9-24
190.
Małgorzata Moczurad, Piotr Zgliczyński
Central configurations in planar $n$-body problem for $n=5,6,7$ with equal masses, Celestial Mechanics and Dynamical Astronomy vol. 131 (2019), 46
189.
Anna Gierzkiewicz-Pieniążek, Piotr Zgliczyński
A computer-assisted proof of symbolic dynamics in Hyperion's rotation model, Celestial Mechanics and Dynamical Astronomy vol. 131 (2019), 33
188.
Leszek Gasiński, Nikolaos S. Papageorgiou, Krzysztof Winowski
Positive Solutions for Nonlinear Robin Problems with Concave Terms, Journal of Convex Analysis vol. 26 (4) (2019), 1145-1174
187.
Paweł Dłotko, Mateusz Juda, Michał Lipiński, Matthias Zeppelzauer, Bartosz Zieliński
Persistence bag-of-words for topological data analysis, Proceedings of the 28th International Joint Conference On Artificial Intelligence (ijcai 2019) (2019), 4489-4495
186.
Piotr Kalita, Meir Shillor, Paweł Szafraniec
A frictional contact problem with wear diffusion, Zeitschrift für Angewandte Mathematik und Physik vol. 70 (2019), 96
185.
Piotr Kalita, Jose A. Langa, Fernando Soler-Toscano
Informational Structures and Informational Fields as a prototype for the description of postulates of the Integrated Information Theory, Entropy vol. 21 (2019), 493
184.
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 vol. 18-1 (2019), 510-530
183.
Piotr Kamieński
A quantitative version of the theorem on Khintchine's constant, Indagationes Mathematicae vol. Vol. 30 (4) (2019), 649-668
182.
Irmina Walawska, Daniel Wilczak
Validated numerics for period-tupling and touch-and-go bifurcations of symmetric periodic orbits in reversible systems, Communications in Nonlinear Science and Numerical Simulation vol. 74C (2019), 30-54
181.
Piotr Kalita, Jose A. Langa, Grzegorz Łukaszewicz
Micropolar meets Newtonian. The Rayleigh–Bénard problem, Physica D: Nonlinear Phenomena vol. 392 (2019), 57-80
180.
Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski
On relation between attractors for single and multivalued semiflows for a certain class of PDEs, Discrete and Continuous Dynamical Systems - Series B vol. 24 (2019), 1199-1227
179.
Krzysztof Byrski, Przemysław Spurek, Jacek Tabor
Online updating of active function cross-entropy clustering, Pattern Analysis and Applications vol. vol. 22 no. 4 (2019), 1409-1425

2018

178.
Amadeu Delshams, Rodrigo Gonçalves Schaefer
Arnold Diffusion for a complete family of perturbations with two independent harmonics, Discrete and Continuous Dynamical Systems (2018),
177.
Marta Pasenkiewicz-Gierula, Elżbieta Plesnar, Witold K. Subczynski, Robert Szczelina
Is the cholesterol bilayer domain a barrier to oxygen transport into the eye lens?, Biochimica et Biophysica Acta - Biomembranes vol. 1860 (2018), 434-441
176.
Maciej Capiński, Dmitry Turaev, Piotr Zgliczyński
Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system, Nonlinearity vol. 31 (2018), 5410
175.
Maciej Capiński, Piotr Zgliczyński
Beyond the Melnikov method II: Multidimensional setting, Journal of Differential Equations vol. 265 (2018), 3988-4015
174.
Jacek Cyranka, Piotr B. Mucha, Edriss S. Titi, Piotr Zgliczyński
Stabilizing the long-time behavior of the forced Navier–Stokes and damped Euler systems by large mean flow, Physica D: Nonlinear Phenomena vol. 369 (2018), 18-29
173.
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 vol. 18 (2018), 1299-1332
172.
Piotr Kalita, Piotr Kowalski
On multivalued Duffing equation, Journal of Mathematical Analysis and Applications vol. 462 (2018), 1130-1147
171.
Amadeu Delshams, Adria Simon, Piotr Zgliczyński
Shadowing of non-transversal heteroclinic chains, Journal of Differential Equations vol. 264 (2018), 3619–-3663
170.
Mateusz Juda, Markus Seidl, Matthias Zeppelzauer, Bartosz Zieliński
A Study on Topological Descriptors for the Analysis of 3D Surface Texture, Computer Vision and Image Understanding vol. 167 (2018), 74-88
169.
Mirelson M. Freitas, Piotr Kalita, Jose A. Langa
Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations, Journal of Differential Equations vol. 264 (2018), 1886-1945
168.
Piotr Kalita, Grzegorz Łukaszewicz, Jakub Siemianowski
Rayleigh-Benard problem for Thermomicropolar Fluids, Topological Methods in Nonlinear Analysis vol. 52 (2018), 477-514
167.
Mikael Barboteu, Leszek Gasiński, Piotr Kalita
Analysis of a dynamic frictional contact problem for hyperviscoelastic material with non-convex energy density , Mathematics and Mechanics of Solids vol. 23 (2018), 359-391

2017

166.
Amadeu Delshams, Rodrigo Gonçalves Schaefer
Arnold diffusion for a complete family of perturbations, Regular and Chaotic Dynamics vol. 22 (2017), 78–108
165.
Piotr Zgliczyński
Topological shadowing and the Grobman-Hartman Theorem, Topological Methods in Nonlinear Analysis vol. 50 (2017), 757-785
164.
Marc Ethier, Grzegorz Jabłoński, Marian Mrozek
Finding Eigenvalues of Self-maps with the Kronecker Canonical Form vol. 198 (2017), "Applications of Computer Algebra", Springer
163.
Małgorzata Moczurad, Piotr Zgliczyński
On the Petras algorithm for verified integration of piecewise analytic functions , Journal of Complexity vol. 39 (2017), 69-93
162.
Roberto Barrio, Daniel Wilczak
Systematic Computer-Assisted Proof of Branches of Stable Elliptic Periodic Orbits and Surrounding Invariant Tori, SIAM Journal on Applied Dynamical Systems vol. 16 (2017), 1618-1649
161.
Marian Mrozek
Conley-Morse-Forman theory for combinatorial multivector fields on Lefschetz complexes, Foundations of Computational Mathematics vol. 17 (2017), 1585-1633
160.
Michele Coti Zelati, Piotr Kalita
Smooth attractors for weak solutions of the SQG equation with critical dissipation, Discrete and Continuous Dynamical Systems - Series B vol. 22 (2017), 1857-1873
159.
Peter Bubenik, Paweł Dłotko
A persistence landscapes toolbox for topological statistics , Journal of Symbolic Computation vol. 78 (2017), 91-114
158.
Tomasz Kapela, Carles Simo
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems, Nonlinearity vol. 30(3) (2017), 965-986
157.
Maciej Capiński, Piotr Zgliczyński
Beyond the Melnikov method: a computer assisted approach, Journal of Differential Equations vol. 262 (2017), 365-417
156.
Piotr Zgliczyński
Hyperbolicity and Averaging for the Srzednicki-W{'o}jcik equation, Journal of Differential Equations vol. 262 (2017), 1931-1955
155.
Robert Filipek, Piotr Kalita, Lucjan Sapa, Krzysztof Szyszkiewicz
On local weak solutions to Nernst–Planck–Poisson system, Applicable Analysis vol. 96 (2017), 2316-2332
154.
Sylwia Dudek, Piotr Kalita, Stanisław Migórski
Stationary Oberbeck-Boussinesq model of generalized Newtonian fluid governed by multivalued partial differential equations, Applicable Analysis vol. 96 (2017), 2192-2217

2016

153.
Stefanella Boatto, David Dritschel, Rodrigo Gonçalves Schaefer
N-body dynamics on closed surfaces: the axiom of mechanics, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences vol. 472 issue 2192 (2016), 20160020
152.
Robert Szczelina
A computer assisted proof of multiple periodic orbits in some first order non-linear delay differential equation , Electronic Journal of Qualitative Theory of Differential Equations vol. 83 (2016), 1-19
151.
Alexandra Bac, Aldo Gonzalez-Lorenzo, Mateusz Juda, Jean-Luc Mari, Pedro Real
Fast, Simple and Separable Computation of Betti Numbers on Three-Dimensional Cubical Complexes, Lecture Notes in Computer Science vol. 9667 (2016), 130-139
150.
Andrzej Gryglewski, Brandon Michael Henry, Marian Mrozek, Krzysztof Piech, Krzysztof Tomaszewski, Marcin Żelawski
Sensitivity and Specificity of Fractal Analysis to Distinguish Between Healthy and Pathologic Rectal Mucosa Microvasculature Seen During Colonoscopy, Surgical Laparoscopy, Endoscopy and Percutaneous Techniques vol. 26(5) (2016), 358–363
149.
Stefan Ratschan , Peter Franek, Piotr Zgliczyński
Quasi-decidability of a Fragment of the Analytic First-order Theory of Real Numbers, Journal of Automated Reasoning vol. 57 (2016), 157-185
148.
Jacek Cyranka, Piotr Zgliczyński
Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations, Journal of Differential Equations vol. 261 (2016), 4648-4708
147.
K. Mischaikow, Marian Mrozek, Frank Weilandt
Discretization strategies for computing Conley indices and Morse decompositions of flows, Journal of Computational Dynamics vol. 3 (2016), 1-16
146.
Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
Towards a formal tie between combinatorial and classical vector field dynamics, Journal of Computational Dynamics vol. 3 (1) (2016), 17-50
145.
Bogdan Batko, Marian Mrozek
Weak index pairs and the Conley index for discrete multivalued dynamical systems, SIAM Journal on Applied Dynamical Systems vol. 15.2 (2016), 1143-1162
144.
Wiesław Pałka, Przemysław Spurek
Clustering of Gaussian distributions, 2016 International Joint Conference On Neural Networks (ijcnn) vol. IEEE (2016), 3346-3353
143.
Aleksander Czechowski, Bert Lindenhovius, Eric Siero, Wouter Cames van Batenburg, Joey van der Leer Duran
Frequency decompositions in autoregression models, Proceedings of the 114th European Study Group Mathematics With Industry (2016),
142.
Irmina Walawska, Daniel Wilczak
An implicit algorithm for validated enclosures of the solutions to variational equations for ODEs, Applied Mathematics and Computation vol. 291 (2016), 303-322
141.
Mateusz Juda, Markus Seidl, Matthias Zeppelzauer, Bartosz Zieliński
Topological Descriptors for 3D Surface Analysis, Lecture Notes in Computer Science vol. 9667 (2016), 77-87
140.
Aleksander Czechowski, Piotr Zgliczyński
Existence of periodic solutions of the FitzHugh-Nagumo equations for an explicit range of the small parameter, SIAM Journal on Applied Dynamical Systems vol. 15(3) (2016), 1615-1655
139.
Marius van der Put, Teresa Crespo, Zbigniew Hajto
Real and p-adic Picard-Vessiot fields, Mathematische Annalen vol. 365 (2016), 93-103
138.
Teresa Crespo, Zbigniew Hajto, Elżbieta Sowa
Galois correspondence theorem for Picard-Vessiot Extensions, Arnold Mathematical Journal (2016), 21-27
137.
Małgorzata Moczurad, Piotr Zgliczyński, Włodzimierz Zwonek
New lower bound estimates for quadratures of bounded analytic functions, Journal of Complexity vol. 34 (2016), 50–67
136.
Daniel Wilczak, Piotr Zgliczyński
Connecting Orbits for a Singular Nonautonomous Real Ginzburg--Landau Type Equation, SIAM Journal on Applied Dynamical Systems vol. 15 (2016), 495-525
135.
Roberto Barrio, Sergio Serrano, Daniel Wilczak
Coexistence and Dynamical Connections between Hyperchaos and Chaos in the 4D Rössler System: A Computer-Assisted Proof, SIAM Journal on Applied Dynamical Systems vol. 15 (2016), 356-390
134.
Patrizio Frosini, Grzegorz Jabłoński
Combining Persistent Homology and Invariance Groups for Shape Comparison, Discrete and Computational Geometry vol. 55 (2) (2016), 373-409

2015

133.
Laurent Fribourg, Eric Goubault, Sameh Mohamed, Marian Mrozek, Sylvie Putot
A Topological Method for Finding Invariant Sets of Continuous Systems vol. Lecture Notes in Computer Science (2015), "Reachability Problems", Springer Verlag (połaczony z Kluwer Academic Publishing)
132.
Michał Niedźwiecki, Paweł Pławiak, Krzysztof Rzecki, Katarzyna Smelcerz, Tomasz Sośnicki, Zdzisław Tabor, Tomasz Wojtoń, Tomasz Wójtowicz
The Dynamics of the Distribution of Co-authors, Czasopismo Techniczne/Technical Transactions vol. Nauki Podstawowe (2015), 85-103
131.
Michał Niedźwiecki, Paweł Pławiak, Krzysztof Rzecki, Katarzyna Smelcerz, Tomasz Sośnicki, Zdzisław Tabor, Tomasz Wojtoń, Tomasz Wójtowicz
Emergence of Cooperation as a Result of Mutation and Inheritance in PD/PG-like Game, Czasopismo Techniczne/Technical Transactions vol. Nauki Podstawowe (2015), 71-84
130.
Aleksander Czechowski, Piotr Zgliczyński
Rigorous numerics for PDEs with indefinite tail: existence of a periodic solution of the Boussinesq equation with time-dependent forcing, Schedae Informaticae vol. 24 (2015), 143-158
129.
Piotr Zgliczyński
Steady states bifurcations for the Kuramoto-Sivashinsky equation - a computer assisted proof, Journal of Computational Dynamics Aims (2015), 95-142
128.
Jacek Cyranka, Piotr Zgliczyński
Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof, SIAM Journal on Applied Dynamical Systems vol. 14 (2015), 787-821
127.
Maciej Capiński, Piotr Zgliczyński
Geometric proof for normally hyperbolic invariant manifolds, Journal of Differential Equations vol. 259 (2015), 6215-6286
126.
Marian Mrozek, Roman Srzednicki, Frank Weilandt
A topological approach to the algorithmic computation of the Conley index for Poincaré maps, SIAM Journal on Applied Dynamical Systems vol. 14 (2015), 1348-1386
125.
Herbert Edelsbrunner, Grzegorz Jabłoński, Marian Mrozek
The Persistent Homology of a Self-Map, Foundations of Computational Mathematics vol. 15 (2015), 1213-1244
124.
Roberto Barrio, María Angeles Martinez, Sergio Serrano, Daniel Wilczak
When chaos meets hyperchaos: 4D Rössler model, Physics Letters, Section A: General, Atomic and Solid State Physics vol. 379 (2015), 2300-2305
123.
Teresa Crespo, Zbigniew Hajto
Real Liouville Extensions, Communications in Algebra vol. 43 (2015), 2089-2083
122.
Piotr Brendel, Paweł Dłotko, Graham Ellis, Mateusz Juda, Marian Mrozek
Computing fundamental groups from point clouds, Applicable Algebra in Engineering, Communications and Computing vol. 26 (2015), 27-48

2014

121.
Krzysztof Murzyn, Robert Szczelina
DMG-α-A Computational Geometry Library for Multimolecular Systems, Journal of Chemical Information and Modeling vol. 54 (2014), 3112–3123
120.
Mateusz Juda, Marian Mrozek
CAPD::RedHom v2 - Homology Software Based on Reduction Algorithms, Lecture Notes in Computer Science vol. 8592 (2014), 160-166
119.
Ulrich Bauer, Michael Kerber, Jan Reininghaus, Hubert Wagner
PHAT: persistent homology algorithm toolbox, Lecture Notes in Computer Science (2014), 137-143
118.
Shaun Harker, K. Mischaikow, Marian Mrozek, Vidit Nanda
Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps, Foundations of Computational Mathematics vol. 14 (2014), 151-184
117.
Paweł Dłotko, Specogna Ruben
Lazy cohomology generators: a breakthrough in (co)homology computations for CEM, IEEE Transactions on Magnetics (2014), 4
116.
Andrea Cerri, Barbara Di Fabio, Grzegorz Jabłoński, Filippo Medri
Comparing shapes through multi-scale approximations of the matching distance , Computer Vision and Image Understanding vol. 121 (2014), 43-56

2013

115.
Paweł Dłotko, Specogna Ruben
Topology preserving thinning of cell complexes, IEEE Transactions on Image Processing (2013),
114.
Małgorzata Moczurad, Włodzimierz Moczurad
Testing decipherability of directed figure codes with domino graphs, Schedae Informaticae (2013), 27-40
113.
Robert Szczelina, Piotr Zgliczyński
A Homoclinic Orbit in a Planar Singular ODE---A Computer Assisted Proof, SIAM Journal on Applied Dynamical Systems vol. 12 (2013), 1541-–1565
112.
Paweł Dłotko, Hubert Wagner
Towards topological analysis of high-dimensional feature spaces, Computer Vision and Image Understanding (2013), 21-26
111.
G Cochran, Paweł Dłotko, Thomas Wanner
A randomized subdivision algorithm for determining the topology of nodal sets, SIAM Journal of Scientific Computing (2013), 1034–1054
110.
Paweł Dłotko, Specogna Ruben
Physics inspired algorithms for (co)homology computations of three-dimensional combinatorial manifolds with boundary, Computer Physics Communications, Computer Physics Communications (2013), 2257-2266
109.
Paweł Dłotko, Specogna Ruben
A novel technique for cohomology computations in engineering practice, Computer Methods in Applied Mechanics and Engineering (2013), 530-542
108.
Paweł Dłotko, Specogna Ruben
Cohomology in 3D magneto-quasistatics modeling, Communications in Computational Physics (2013), 48-76
107.
Paweł Dłotko, Hubert Wagner
Simplification Of Complexes For Persistent Homology Computations, Homology Homotopy and Applications vol. 16(1) (2013), 49-63
106.
Teresa Crespo, Zbigniew Hajto, Elżbieta Sowa
Picard-Vessiot theory for real fields, Israel Journal of Mathematics vol. 198 (2013), 75-89
105.
Tomasz Konopka, Zbigniew Latała, Rafał Petryniak, Zdzisław Tabor
The potential of multi-slice computed tomography based quantification of the structural anisotropy of vertebral trabecular bone, Medical Engineering and Physics vol. 35 (2013), 7-15
104.
Tomasz Kaczynski, Marian Mrozek
Cubical Cohomology Ring: Algorithmic Approach, Foundations of Computational Mathematics vol. 13 (2013), 789-818

2012

103.
M. Krzak, P. Nowak, Zdzisław Tabor, A. Warszyński
ater Diffusion In Polymer Coatings Containing Water-Trapping Particles. Part 1. Finite Difference - Based Simulations, Progress in Organic Coatings vol. 75 (2012), 200-206
102.
A. Karatzas, I.A. Kartsonakis, G.C. Kordas, M. Krzak, P. Nowak, Zdzisław Tabor, A. Warszyński
Water diffusion in the polymer coatings containing water-trapping particles . Part 2. Experimental verification of the mathematical model, Progress in Organic Coatings vol. 75 (2012), 207-214
101.
Małgorzata Jaworska, Anna Kierklo, Rafał Petryniak, Zdzisław Tabor
Detection of voids of dental root canal obturation using microCT, Lecture Notes in Computer Science vol. 7594 (2012), 549-556
100.
Chao Chen, Erald Vucini, Hubert Wagner
Efficient Computation of Persistent Homology for Cubical Data vol. Mathematics and Visualization (2012), "Topological Methods in Data Analysis and Visualization II", Springer
99.
David Gunther, Ingrid Hotz, Jan Reininghaus, Hubert Wagner
Efficient computation of 3D Morse-Smale complexes and persistent homology using discrete Morse theory, Visual Computer (2012), 1-11
98.
Marian Mrozek
Topological Dynamics: Rigorous Numerics via Cubical Homology vol. 70 (2012), "Advances in Applied and Computational Topology: AMS Short Course Computational Topology", American Mathematical Society (AMS)
97.
Piotr Brendel, Paweł Dłotko, Marian Mrozek, Natalia Żelazna
Homology Computations via Acyclic Subspace, Lecture Notes in Computer Science vol. 7309 (2012), 117-127
96.
Paweł Dłotko, Marian Mrozek, Hubert Wagner
Computational Topology in Text Mining, Lecture Notes in Computer Science vol. 7309 (2012), 68 - 79
95.
Paweł Dłotko
A fast algorithm to compute cohomology group generators of orientable 2-manifolds, Pattern Recognition Letters vol. 33 (2012), 1468-1476
94.
Teresa Crespo, Zbigniew Hajto, Elżbieta Sowa
Constrained extensions of real type, Comptes Rendus Mathematique vol. 350 (2012), 235-237
93.
Andrzej Gryglewski, Andrzej Krajniak, Marian Mrozek, Han Sejin, Marcin Żelawski
Homological methods for extraction and analysis of linear features in multidimensional images, Pattern Recognition vol. 45(1) (2012), 285-298
92.
Rafał Kudłacik, Adam Roman, Hubert Wagner
Effective synchronizing algorithms, Expert Systems with Applications vol. 39 (2012), 11746-11757
91.
Paweł Dłotko, Robert Ghrist, Mateusz Juda, Marian Mrozek
Distributed computation of coverage in sensor networks by homological methods, Applicable Algebra in Engineering, Communications and Computing vol. 23, Issue 1-2 (2012), 29-58
90.
Mateusz Juda, Marian Mrozek
Z_2-homology of weak (p-2)-faceless p-pseudomanifolds may be computed in O(n) time, Topological Methods in Nonlinear Analysis vol. 40 (2012), 137-159

2011

89.
Teresa Crespo, Zbigniew Hajto
Picard-Vessiot theory and the Jacobian Problem, Israel Journal of Mathematics vol. 186 (2011), 401-406
88.
Teresa Crespo, Zbigniew Hajto
Algebraic Groups and Differential Galois Theory, American Mathematical Society (AMS), 2011
87.
David Gunther, Ingrid Hotz, Jan Reininghaus, Hubert Wagner
Memory-Efficient Computation of Persistent Homology for 3D Images using Discrete Morse Theory, Proc. Sibgrpi - Conference On Graphics, Patterns and Images (2011), 10
86.
Maciej Capiński, Piotr Zgliczyński
Cone Conditions and Covering Relations for Normally Hyperbolic Invariant Manifolds, Discrete and Continuous Dynamical Systems vol. 30 (2011), 641-670
85.
Maciej Capiński, Piotr Zgliczyński
Transition Tori in the Planar Restricted Elliptic Three Body Problem, Nonlinearity vol. 24 (2011), 1395-1432
84.
Stefan Ratschan , Peter Franek, Piotr Zgliczyński
Satisfiability of Systems of Equations of Real Analytic Functions is Quasi-decidable , Lecture Notes in Computer Science vol. 6907 (2011), 315-326
83.
Paweł Dłotko, Specogna Ruben
Efficient generalized source field computation for h-oriented magnetostatic formulations, EPJ Applied Physics vol. 53 (2011), 20801
82.
Paweł Dłotko, Walter Kropatsch, Hubert Wagner
Characterizing Obstacle-Avoiding Paths Using Cohomology Theory, Lecture Notes in Computer Science (2011), 310-317
81.
Paweł Dłotko, Tomasz Kaczynski, Marian Mrozek, Thomas Wanner
Coreduction Homology Algorithm for Regular CW-Complexes, Discrete and Computational Geometry vol. 46 (2011), 361-388
80.
Tomasz Baron, Marcin Cwynar, Tomasz Grodzicki, Barbara Gryglewska, Marian Mrozek, Mirosław Nęcki, Marcin Żelawski
Fractal dimensions of skin microcirculation flow in subjects with familial predisposition or newly diagnosed hypertension, Cardiology Journal, Formerly Folia Cardiologica vol. 18, No. 1 (2011), 26-32
79.
Grzegorz Jabłoński
Robust Nonparametric Regression with Output in SO(3) vol. 95 (Advances in Intelligent and Soft Computing) (2011), "Computer Recognition Systems 4", Springer
78.
Daniel Wilczak, Piotr Zgliczyński
C^r-Lohner algorithm, Schedae Informaticae vol. 20 (2011), 9-46

2010

77.
Paweł Dłotko, Tomasz Kaczynski, Marian Mrozek
Computing the cubical cohomology ring, Image A, Proceedings of the 3rd International Workshop On Computational Topology in Image Context (2010), 137-142
76.
Paweł Dłotko, Shaun Harker, Mateusz Juda, Konstantin Mischaikov, Marian Mrozek, Vidit Nanda, Hubert Wagner
The efficiency of a homology algorithm based on discrete Morse Theory and Coreductions, Image a Proceedings of the 3rd International Workshop On Computational Topology in Image Context (2010), 41-47
75.
Marian Mrozek, Thomas Wanner
Coreduction homology algorithm for inclusions and persistent homology, Computers and Mathematics with Applications vol. 60.10 (2010), 2812-2833
74.
Marian Mrozek
ˇCech Type Approach to Computing Homology of Maps, Discrete and Computational Geometry vol. 44.3 (2010), 546–576
73.
Marian Mrozek
Homology of representable sets, Annales Polonici Mathematici vol. 97.3 (2010), 243–252
72.
Piotr Zgliczyński
Rigorous Numerics for Dissipative PDEs III. An effective algorithm for rigorous integration of dissipative PDEs, Topological Methods in Nonlinear Analysis vol. 36 (2010), 197-262
71.
Paweł Dłotko, Specogna Ruben, Francesco Trevisan
Voltage and current sources for massive conductors suitable with the $A-chi$ Geometric Formulation, IEEE Transactions on Magnetics vol. 46 (2010), 3069-3072
70.
Paweł Dłotko, Specogna Ruben
Critical analysis of spanning tree techniques, SIAM Journal on Numerical Analysis vol. 48 (2010), 1601-1624
69.
Paweł Dłotko, Specogna Ruben
Efficient cohomology computation for electromagnetic modeling, CMES - Computer Modeling in Engineering and Sciences vol. 60 (2010), 247-278
68.
Tomasz Grodzicki, Barbara Gryglewska, Mirosław Nęcki, Marcin Żelawski
Entropy of skin microcirculation flow in subjects with familial predisposition or newly diagnosed hypertension, Cardiovascular Research vol. 87 (2010), S54-S54
67.
Daniel Wilczak
Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system, SIAM Journal on Applied Dynamical Systems vol. 9 (2010), 1263-1283
66.
Marian Mrozek, Roman Srzednicki
Topological approach to rigorous numerics of chaotic dynamical systems with strong expansion of error bounds, Foundations of Computational Mathematics (2010), 191-220

2009

65.
Bogdan Batko, Marian Mrozek
Coreduction homology algorithm, Discrete and Computational Geometry vol. 41 (2009), 96-118
64.
Piotr Zgliczyński
Covering relations, cone conditions and stable manifold theorem , Journal of Differential Equations vol. 246 (2009), 1774-1819
63.
Li Ming-Chia, Piotr Zgliczyński
On stability of forcing relations for multidimensional perturbations of interval maps, Fundamenta Mathematicae vol. 206 (2009), 241-251
62.
Paweł Dłotko, Specogna Ruben, Francesco Trevisan
Automatic generation of cuts on large-sized meshes for $T-Omega$ geometric eddy-current formulation, Computer Methods in Applied Mechanics and Engineering vol. 198 (2009), 3765–3781
61.
Andrzej Gryglewski, Andrzej Krajniak, Marian Mrozek, Han Sejin, Marcin Żelawski
Homological Methods in Feature Extraction of Multidimensional Images, Proceedings of the 2009 2nd International Congress On Image and Signal Processing, Ieee (2009), 1061-1066
60.
Marcin Żelawski
Detecting Pathologies with Homology Algorithms in Magnetic Resonance Images of Brain, Machine Graphics & Vision: International Journal vol. 18, No. 3 (2009), 253-266
59.
Tomasz Kapela, Piotr Zgliczyński
A Lohner-type algorithm for control systems and ordinary differential inclusions, Discrete and Continuous Dynamical Systems - Series B vol. 11 (2009), 365-385
58.
Daniel Wilczak, Piotr Zgliczyński
Computer assisted proof of the existence of homoclinic tangency for the Henon map and for the forced-damped pendulum, SIAM Journal on Applied Dynamical Systems vol. 8 (2009), 1632-1663
57.
Daniel Wilczak, Piotr Zgliczyński
Period doubling in the Rössler system - a computer assisted proof, Foundations of Computational Mathematics vol. 9 (2009), 611-649
56.
Daniel Wilczak
Rigorous numerics for homoclinic dynamics, the Joint Conference of Ascm 2009 and Macis 2009, Coe Lect. Note, 22, Kyushu Univ. Fac. Math., Fukuoka (2009), 301-305
55.
Marian Mrozek, Roman Srzednicki
Conley index of Poincare maps in isolating segments, Nonlinear Analysis, Theory, Methods and Applications (2009), 2123—2131

2008

54.
Teresa Crespo, Zbigniew Hajto
Extensions with Galois group 2+S4*D8 in characteristic 3, Comptes Rendus Mathematique vol. 346 (2008), 611-614
53.
Marian Mrozek, Paweł Pilarczyk, Natalia Żelazna
Homology algorithm based on acyclic subspace, Computers and Mathematics with Applications vol. 55 (2008), 2395-2412
52.
Małgorzata Moczurad, Włodzimierz Moczurad
How many figure sets are codes?, Lecture Notes in Computer Science vol. 5196 (2008), 385-396
51.
Li Ming-Chia, Lyu Ming-Jiea , Piotr Zgliczyński
Topological entropy for multidimensional perturbations of snap-back repellers and one-dimensional maps, Nonlinearity vol. 21 (2008), 2555-2567

2007

50.
Bogdan Batko, Marian Mrozek
The Euler-Poincare characteristic of index maps, Topology and its Applications vol. 154.4 (2007), 859-866
49.
Małgorzata Moczurad, Włodzimierz Moczurad
Asymptotic density of brick and word codes, Ars Combinatoria vol. 83 (2007), 169-177
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