CAPD swMATH ID: 7620 Software Authors: Grzegorz Jablonski; Kapela, T., Mrozek, M., Pilarczyk, P., Wilczak, D., Zgliczyński, P. Description: Software library that aims to provide a set of flexible C++ modules designed for rigorous numerics in dynamical systems. The CAPD library is a collection of flexible C++ modules which are mainly designed to computation of homology of sets and maps and nonrigorous and validated numerics for dynamical systems. It is distributed under the terms of GNU GPL license. Homepage: http://capd.ii.uj.edu.pl/ Keywords: rigorous numerics; dynamical systems; ODE; interval arithmetic Related Software: RODES; INTLAB; Cosy; Taylor; CHomP; RedHom; TIDES; Chom; Homology; Matlab; CkAnalytic; Lorenz-Database; VNODE; MPFR; SpaceEx; ChainCon; Boost; kv; GitHub; ValEncIA-IVP Cited in: 77 Publications all top 5 Cited by 119 Authors 12 Mrozek, Marian 12 Zgliczyński, Piotr 9 Wilczak, Daniel 6 Pilarczyk, Paweł 6 van den Berg, Jan Bouwe 5 Bartha, Ferenc Ágoston 5 Mischaikow, Konstantin 4 Lessard, Jean-Philippe 4 Real, Pedro 3 Barrio, Roberto 3 Gierzkiewicz, Anna 3 Juda, Mateusz 3 Kokubu, Hiroshi 3 Mireles-James, Jason D. 3 Tucker, Warwick 2 Bac, Alexandra 2 Cyranka, Jacek 2 Dłotko, Paweł 2 Figueras, Jordi-Lluís 2 Galias, Zbigniew 2 Gameiro, Marcio F. 2 Garab, Ábel 2 Gonzalez-Lorenzo, Aldo 2 Harker, Shaun 2 Haro, Àlex 2 Kalies, William D. 2 Kapela, Tomasz 2 Krisztin, Tibor 2 Luque, Alejandro 2 Mari, Jean-Luc 2 Serrano, Sergio E. 2 Srzednicki, Roman 2 Wanner, Thomas 2 Weilandt, Frank 1 Aliprantis, Dionysios C. 1 Allili, Madjid 1 Ayala, Rafael 1 Bak, Stanley 1 Balázs, István 1 Batko, Bogdan 1 Beica, Andreea 1 Belbruno, Edward A. 1 Belova, Anna Sergeevna 1 Berciano-Alcaraz, Ainhoa 1 Breden, Maxime 1 Canadell, Marta 1 Corriveau, David 1 Courtois, Julien 1 Czechowski, Aleksander 1 DeFloriani, Leila 1 Dena, Ángeles 1 Dudás, János 1 Duggirala, Parasara Sridhar 1 Edelsbrunner, Herbert 1 Fan, Chuchu 1 Feret, Jérôme 1 Fernández-Ternero, Desamparados 1 Frauenfelder, Urs Adrian 1 Gedeon, Tomáš 1 Gómez, Gerard 1 González-Díaz, Rocío 1 Groothedde, Chris 1 Huang, Zhenqi 1 Iuricich, Federico 1 Jablonski, Grzegorz 1 Jackson, Paul B. 1 Jaulin, Luc 1 Jiménez, María José 1 Johnson, Taylor T. 1 Kaczynski, Tomasz 1 Kalita, Piotr 1 Kasti, Dinesh 1 Knipl, Diána H. 1 Kresch, Andrew 1 Landi, Claudia 1 Le Bars, Fabrice Abstract 1 Martínez, M. Angeles 1 Masdemont, Josep J. 1 Mazo, Loïc 1 Medrano, Belen 1 Menini, Laura 1 Mihaylova, Lyudmila S. 1 Mitra, Sayan 1 Miyaji, Tomoyuki 1 Molina-Abril, Helena 1 Mondelo, Josep-Maria 1 Munthe-Kaas, Hans Z. 1 Nanda, Vidit 1 Oka, Hiroe 1 Pacheco, Ana María 1 Passat, Nicolas 1 Pérez-Palau, Daniel 1 Petrov, Tatjana 1 Possieri, Corrado 1 Queirolo, Elena 1 Reinhardt, Christian 1 Rohou, Simon 1 Röst, Gergely 1 Scaramuccia, Sara 1 Seidl, Markus ...and 19 more Authors all top 5 Cited in 35 Serials 9 SIAM Journal on Applied Dynamical Systems 7 Journal of Computational Dynamics 6 Foundations of Computational Mathematics 4 Discrete & Computational Geometry 4 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Differential Equations 3 Celestial Mechanics and Dynamical Astronomy 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 Automatica 2 Journal of Dynamics and Differential Equations 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Nonlinearity 1 Physics Letters. A 1 Proceedings of the American Mathematical Society 1 Topology and its Applications 1 Applied Numerical Mathematics 1 Journal of Automated Reasoning 1 Journal of Scientific Computing 1 Computational Geometry 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 Experimental Mathematics 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Chaos 1 Discrete and Continuous Dynamical Systems. Series B 1 Applied Mathematical Sciences 1 Nonlinear Analysis. Hybrid Systems all top 5 Cited in 25 Fields 32 Dynamical systems and ergodic theory (37-XX) 32 Numerical analysis (65-XX) 17 Computer science (68-XX) 14 Ordinary differential equations (34-XX) 12 Algebraic topology (55-XX) 9 Partial differential equations (35-XX) 6 Manifolds and cell complexes (57-XX) 6 Mechanics of particles and systems (70-XX) 6 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year