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Journal of Computational Dynamics

Short Title: J. Comput. Dyn.
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 2158-2491; 2158-2505/e
Online: https://www.aimsciences.org/journal/2158-2491
http://aimsciences.org/journals/home.jsp?journalID=24
http://aimsciences.org/journals/contentsListnew.jsp?pubID=679
Comments: Indexed cover-to-cover
Documents Indexed: 136 Publications (since 2014)
References Indexed: 129 Publications with 4,358 References.
all top 5

Authors

7 Krauskopf, Bernd
5 Osinga, Hinke Maria
4 Kevrekidis, Ioannis George
4 Lessard, Jean-Philippe
4 McLachlan, Robert I.
4 Schütte, Christof
4 van den Berg, Jan Bouwe
3 Froyland, Gary
3 Junge, Oliver
3 Mischaikow, Konstantin
3 Rowley, Clarence W.
2 Baier, Robert
2 Blanes, Sergio
2 Brunton, Steven L.
2 Casas, Fernando
2 Celledoni, Elena
2 Dellnitz, Michael
2 Djurdjevac Conrad, Natasa
2 Giesl, Peter
2 González-Tokman, Cecilia
2 Grüne, Lars
2 Hamzi, Boumediene
2 Hartmann, Carsten
2 Hessel-von Molo, Mirko
2 Kassotakis, Pavlos G.
2 Klus, Stefan
2 Koltai, Péter
2 Kutz, J. Nathan
2 Laing, Carlo R.
2 Li, Jing
2 McLaren, David I.
2 Mireles-James, Jason D.
2 Mrozek, Marian
2 Padberg-Gehle, Kathrin
2 Pavliotis, Grigorios A.
2 Quispel, Gilles Reinout Willem
2 Reich, Sebastian
2 Stinis, Panos
2 Tu, Jonathan H.
2 van der Kamp, Peter H.
2 Wanner, Thomas
2 Zanna, Antonella
1 Aguirre, Pablo
1 Alfatlawi, Mustaffa
1 Alvarez, Amaury Cruz
1 Armbruster, Dieter
1 Ascher, Uri M.
1 Avitabile, Daniele
1 Bader, Philipp
1 Baghaie, Ahmadreza
1 Bakhshinejad, Ali
1 Balashov, Vladislav
1 Balasuriya, Sanjeeva
1 Balázs, István
1 Banisch, Ralf
1 Bartha, Ferenc Ágoston
1 Bauer, Werner
1 Belova, Anna Sergeevna
1 Benner, Peter
1 Benning, Martin
1 Berardi, Marco
1 Beyn, Wolf-Jürgen
1 Bihlo, Alex
1 Birrell, Jeremiah
1 Blachut, Chantelle
1 Bläsche, Christian
1 Bogfjellmo, Geir
1 Bold, Katherine A.
1 Bouvrie, Jake
1 Breda, Dimitri
1 Breden, Maxime
1 Breiten, Tobias
1 Bruckner, Sharon
1 Caccia, Gianluca Frasca
1 Cameron, Chris J.
1 Caracciolo, Chiara
1 Cattafesta, Louis N. III
1 Chaidez, Julian
1 Chang, Dongsik
1 Chapiro, Grigori
1 Christodoulidi, Helen
1 Colombo, Leonardo Jesus
1 Condon, Marissa
1 Conrad, Tim O. F.
1 Coombes, Stephen
1 Courtois, Julien
1 Curry, Charles
1 Cusimano, Valerio
1 D’Ambrosio, Raffaele
1 Dankowicz, Harry J.
1 Dawson, Scott T. M.
1 de Figueiredo, Luiz Henrique
1 De Gaetano, Andrea
1 De La, Cuadra Patricio
1 de Oliveira, João Batista S.
1 Deem, Eric A.
1 Dehmelt, Leif
1 Denner, Andreas
1 DeVille, Lee
1 Di Giovacchino, Stefano
...and 196 more Authors
all top 5

Fields

76 Numerical analysis (65-XX)
74 Dynamical systems and ergodic theory (37-XX)
25 Ordinary differential equations (34-XX)
17 Systems theory; control (93-XX)
16 Partial differential equations (35-XX)
11 Computer science (68-XX)
11 Biology and other natural sciences (92-XX)
10 Probability theory and stochastic processes (60-XX)
10 Fluid mechanics (76-XX)
7 Mechanics of particles and systems (70-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 General and overarching topics; collections (00-XX)
5 Difference and functional equations (39-XX)
5 Differential geometry (53-XX)
5 Statistics (62-XX)
4 Approximations and expansions (41-XX)
4 Operator theory (47-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Operations research, mathematical programming (90-XX)
3 Combinatorics (05-XX)
3 Algebraic geometry (14-XX)
3 Mechanics of deformable solids (74-XX)
3 Information and communication theory, circuits (94-XX)
2 Real functions (26-XX)
2 Integral equations (45-XX)
2 Geophysics (86-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 557 times in 448 Documents Cited by Year
On dynamic mode decomposition: theory and applications. Zbl 1346.37064
Tu, Jonathan H.; Rowley, Clarence W.; Luchtenburg, Dirk M.; Brunton, Steven L.; Kutz, J. Nathan
146
2014
A kernel-based method for data-driven Koopman spectral analysis. Zbl 1366.37144
Kevrekidis, Ioannis G.; Rowley, Clarence W.; Williams, Matthew O.
51
2015
On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154
Schütte, Christof; Koltai, Péter; Klus, Stefan
45
2016
Compressed sensing and dynamic mode decomposition. Zbl 1347.94012
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L.
23
2015
Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools. Zbl 1346.37066
Froyland, Gary; González-Tokman, Cecilia; Quas, Anthony
13
2014
Attraction-based computation of hyperbolic Lagrangian coherent structures. Zbl 1353.37161
Karrasch, Daniel; Farazmand, Mohammad; Haller, George
13
2015
On the computation of attractors for delay differential equations. Zbl 1358.34081
Ziessler, Adrian; Hessel-Von Molo, Mirko; Dellnitz, Michael
12
2016
Parameterization method for unstable manifolds of delay differential equations. Zbl 1397.34123
Groothedde, C. M.; Mireles James, J. D.
12
2017
Lattice structures for attractors. I. Zbl 1346.37013
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
12
2014
Computing coherent sets using the Fokker-Planck equation. Zbl 1369.37084
Denner, Andreas; Junge, Oliver; Matthes, Daniel
11
2016
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1369.37080
Klus, Stefan; Schütte, Christof
8
2016
Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030
Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas
8
2017
Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 1482.65194
Hudson, Joshua; Jolly, Michael
8
2019
Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof. Zbl 1326.35029
Zgliczyński, Piotr
8
2015
Computer-assisted proofs for radially symmetric solutions of PDEs. Zbl 1409.35017
Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan
8
2018
Towards a formal tie between combinatorial and classical vector field dynamics. Zbl 1353.37096
Wanner, Thomas; Mrozek, Marian; Kaczynski, Tomasz
7
2016
Global invariant manifolds near a Shilnikov homoclinic bifurcation. Zbl 1309.34077
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
7
2014
Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. Zbl 1421.76189
Bauer, Werner; Gay-Balmaz, François
7
2019
Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187
Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A.
7
2014
An elementary way to rigorously estimate convergence to equilibrium and escape rates. Zbl 1353.37157
Galatolo, Stefano; Nisoli, Isaia; Saussol, Benoît
7
2015
Asymptotic invariance and the discretisation of nonautonomous forward attracting sets. Zbl 1366.34082
Kloeden, Peter E.
6
2016
Deep learning as optimal control problems: models and numerical methods. Zbl 1429.68249
Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane
6
2019
Mori-Zwanzig reduced models for uncertainty quantification. Zbl 07100319
Li, Jing; Stinis, Panos
6
2019
Necessary and sufficient condition for the global stability of a delayed discrete-time single neuron model. Zbl 1308.39014
Bartha, Ferenc A.; Garab, Ábel
6
2014
Discretization strategies for computing Conley indices and Morse decompositions of flows. Zbl 1373.37043
Weilandt, Frank; Mrozek, Marian; Mischaikow, Konstantin
5
2016
Discrete gradients for computational Bayesian inference. Zbl 1437.62110
Pathiraja, Sahani; Reich, Sebastian
5
2019
An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier-Stokes-Cahn-Hilliard equations. Zbl 1446.65060
Balashov, Vladislav; Zlotnik, Alexander
5
2020
On the influence of cross-diffusion in pattern formation. Zbl 1469.35202
Breden, Maxime; Kuehn, Christian; Soresina, Cinzia
5
2021
Variational integrators for mechanical control systems with symmetries. Zbl 1397.70024
Colombo, Leonardo; Jiménez, Fernando; Martín de Diego, David
4
2015
Modularity revisited: a novel dynamics-based concept for decomposing complex networks. Zbl 1348.60070
Sarich, Marco; Djurdjevac Conrad, Natasa; Bruckner, Sharon; Conrad, Tim O. F.; Schütte, Christof
4
2014
Kernel methods for the approximation of some key quantities of nonlinear systems. Zbl 1394.37115
Bouvrie, Jake; Hamzi, Boumediene
4
2017
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II: Systems with a linear Poisson tensor. Zbl 1457.37085
Petrera, Matteo; Suris, Yuri B.
4
2019
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
4
2020
Balanced model order reduction for linear random dynamical systems driven by Lévy noise. Zbl 1407.93081
Redmann, Martin; Freitag, Melina A.
4
2018
The computation of convex invariant sets via Newton’s method. Zbl 1306.65207
Baier, R.; Dellnitz, M.; Hessel-von Molo, M.; Sertl, S.; Kevrekidis, I. G.
3
2014
Algebraic structure of aromatic B-series. Zbl 1434.37045
Bogfjellmo, Geir
3
2019
Locally conservative finite difference schemes for the modified KdV equation. Zbl 1436.65100
Frasca-Caccia, Gianluca; Hydon, Peter E.
3
2019
Computer-assisted estimates for Birkhoff normal forms. Zbl 1464.37062
Caracciolo, Chiara; Locatelli, Ugo
3
2020
Reconstructing functions from random samples. Zbl 1330.55017
Ferry, Steve; Mischaikow, Konstantin; Nanda, Vidit
3
2014
Polynomial chaos based uncertainty quantification in Hamiltonian, multi-time scale, and chaotic systems. Zbl 1311.34132
Pasini, José Miguel; Sahai, Tuhin
3
2014
Symmetry exploiting control of hybrid mechanical systems. Zbl 1353.37172
Flasskamp, Kathrin; Hage-Packhäuser, Sebastian; Ober-Blöbaum, Sina
3
2015
On polynomial forms of nonlinear functional differential equations. Zbl 1482.34148
Hénot, Olivier
3
2021
An equation-free approach to coarse-graining the dynamics of networks. Zbl 1317.68257
Bold, Katherine A.; Rajendran, Karthikeyan; Ráth, Balász; Kevrekidis, Ioannis G.
2
2014
Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation. Zbl 1369.37027
Giesl, Peter; McMichen, James
2
2016
Set-oriented numerical computation of rotation sets. Zbl 1410.65482
Polotzek, Katja; Padberg-Gehle, Kathrin; Jäger, Tobias
2
2017
A Lin’s method approach for detecting all canard orbits arising from a folded node. Zbl 1397.34096
Mujica, José; Krauskopf, Bernd; Osinga, Hinke M.
2
2017
Integrable reductions of the dressing chain. Zbl 1440.53090
Evripidou, Charalampos; Kassotakis, Pavlos; Vanhaecke, Pol
2
2019
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
2
2019
A new class of integrable Lotka-Volterra systems. Zbl 1434.37036
Christodoulidi, Helen; Hone, Andrew N. W.; Kouloukas, Theodoros E.
2
2019
Geometrical properties of the mean-median map. Zbl 1448.37024
Hoseana, Jonathan; Vivaldi, Franco
2
2020
An incremental approach to online dynamic mode decomposition for time-varying systems with applications to EEG data modeling. Zbl 1450.37080
Alfatlawi, Mustaffa; Srivastava, Vaibhav
2
2020
Optimizing the stable behavior of parameter-dependent dynamical systems – maximal domains of attraction, minimal absorption times. Zbl 1311.34127
Koltai, Péter; Volf, Alexander
2
2014
Generalised Manin transformations and QRT maps. Zbl 1467.14037
van der Kamp, Peter H.; McLaren, David I.; Quispel, G. R. W.
2
2021
On computational Poisson geometry. II. Numerical methods. Zbl 1476.53022
Evangelista-Alvarado, Miguel Ángel; Ruíz-Pantaleón, José Crispín; Suárez-Serrato, Pablo
2
2021
Rigorous enclosures of rotation numbers by interval methods. Zbl 1353.37171
Belova, Anna
1
2016
Continuation and collapse of homoclinic tangles. Zbl 1320.37036
Beyn, Wolf-Jürgen; Hüls, Thorsten
1
2014
Global optimal feedbacks for stochastic quantized nonlinear event systems. Zbl 1302.93242
Jerg, Stefan; Junge, Oliver; Post, Marcus
1
2014
The Lie algebra of classical mechanics. Zbl 1431.17004
McLachlan, Robert I.; Murua, Ander
1
2019
Principal symmetric space analysis. Zbl 1437.62217
Curry, Charles; Marsland, Stephen; McLachlan, Robert I.
1
2019
Study of adaptive symplectic methods for simulating charged particle dynamics. Zbl 1432.37110
Shi, Yanyan; Sun, Yajuan; Wang, Yulei; Liu, Jian
1
2019
Re-factorising a QRT map. Zbl 1434.37039
Joshi, Nalini; Kassotakis, Pavlos
1
2019
Strange attractors in a predator-prey system with non-monotonic response function and periodic perturbation. Zbl 1434.37052
Tuwankotta, Johan Matheus; Harjanto, Eric
1
2019
Solving the wave equation with multifrequency oscillations. Zbl 1434.65200
Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
1
2019
Evaluating the accuracy of the dynamic mode decomposition. Zbl 1448.37103
Zhang, Hao; Dawson, Scott T. M.; Rowley, Clarence W.; Deem, Eric A.; Cattafesta, Louis N.
1
2020
Approximation of Lyapunov functions from noisy data. Zbl 1447.37074
Giesl, Peter; Hamzi, Boumediene; Rasmussen, Martin; Webster, Kevin
1
2020
On the Rayleigh-Bénard-Marangoni problem: theoretical and numerical analysis. Zbl 1446.35137
Pérez-López, Jhean E.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J.
1
2020
Uncertainty in finite-time Lyapunov exponent computations. Zbl 1450.37077
Balasuriya, Sanjeeva
1
2020
A tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems. Zbl 1453.37076
Blachut, Chantelle; González-Tokman, Cecilia
1
2020
Manifold learning for accelerating coarse-grained optimization. Zbl 1450.37082
Pozharskiy, Dmitry; Wichrowski, Noah J.; Duncan, Andrew B.; Pavliotis, Grigorios A.; Kevrekidis, Ioannis G.
1
2020
Equation-free computation of coarse-grained center manifolds of microscopic simulators. Zbl 1346.37065
Siettos, Constantinos
1
2014
Modularity of directed networks: cycle decomposition approach. Zbl 1346.60144
Schütte, Christof; Banisch, Ralf; Djurdjevac Conrad, Nataša
1
2015
Optimal transport over nonlinear systems via infinitesimal generators on graphs. Zbl 1427.82039
Elamvazhuthi, Karthik; Grover, Piyush
1
2018
A self-consistent dynamical system with multiple absolutely continuous invariant measures. Zbl 1468.37005
Sélley, Fanni M.
1
2021
A general framework for validated continuation of periodic orbits in systems of polynomial ODEs. Zbl 1469.37015
van den Berg, Jan Bouwe; Queirolo, Elena
1
2021
Optimization-based subdivision algorithm for reachable sets. Zbl 1467.93028
Riedl, Wolfgang; Baier, Robert; Gerdts, Matthias
1
2021
Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics. Zbl 1479.37082
García-Naranjo, Luis C.; Vermeeren, Mats
1
2021
Computing covariant Lyapunov vectors in Hilbert spaces. Zbl 1479.37055
Noethen, Florian
1
2021
Rigorous numerics for ODEs using Chebyshev series and domain decomposition. Zbl 1481.65115
van den Berg, Jan Bouwe; Sheombarsing, Ray
1
2021
Computing Reeb dynamics on four-dimensional convex polytopes. Zbl 1489.53104
Chaidez, Julian; Hutchings, Michael
1
2021
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 1492.65189
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
1
2022
Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. Zbl 07524353
Kirsten, Gerhard
1
2022
A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. Zbl 1492.65324
Manzini, Gianmarco; Mazzia, Annamaria
1
2022
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 1492.65189
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
1
2022
Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. Zbl 07524353
Kirsten, Gerhard
1
2022
A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. Zbl 1492.65324
Manzini, Gianmarco; Mazzia, Annamaria
1
2022
On the influence of cross-diffusion in pattern formation. Zbl 1469.35202
Breden, Maxime; Kuehn, Christian; Soresina, Cinzia
5
2021
On polynomial forms of nonlinear functional differential equations. Zbl 1482.34148
Hénot, Olivier
3
2021
Generalised Manin transformations and QRT maps. Zbl 1467.14037
van der Kamp, Peter H.; McLaren, David I.; Quispel, G. R. W.
2
2021
On computational Poisson geometry. II. Numerical methods. Zbl 1476.53022
Evangelista-Alvarado, Miguel Ángel; Ruíz-Pantaleón, José Crispín; Suárez-Serrato, Pablo
2
2021
A self-consistent dynamical system with multiple absolutely continuous invariant measures. Zbl 1468.37005
Sélley, Fanni M.
1
2021
A general framework for validated continuation of periodic orbits in systems of polynomial ODEs. Zbl 1469.37015
van den Berg, Jan Bouwe; Queirolo, Elena
1
2021
Optimization-based subdivision algorithm for reachable sets. Zbl 1467.93028
Riedl, Wolfgang; Baier, Robert; Gerdts, Matthias
1
2021
Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics. Zbl 1479.37082
García-Naranjo, Luis C.; Vermeeren, Mats
1
2021
Computing covariant Lyapunov vectors in Hilbert spaces. Zbl 1479.37055
Noethen, Florian
1
2021
Rigorous numerics for ODEs using Chebyshev series and domain decomposition. Zbl 1481.65115
van den Berg, Jan Bouwe; Sheombarsing, Ray
1
2021
Computing Reeb dynamics on four-dimensional convex polytopes. Zbl 1489.53104
Chaidez, Julian; Hutchings, Michael
1
2021
An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier-Stokes-Cahn-Hilliard equations. Zbl 1446.65060
Balashov, Vladislav; Zlotnik, Alexander
5
2020
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
4
2020
Computer-assisted estimates for Birkhoff normal forms. Zbl 1464.37062
Caracciolo, Chiara; Locatelli, Ugo
3
2020
Geometrical properties of the mean-median map. Zbl 1448.37024
Hoseana, Jonathan; Vivaldi, Franco
2
2020
An incremental approach to online dynamic mode decomposition for time-varying systems with applications to EEG data modeling. Zbl 1450.37080
Alfatlawi, Mustaffa; Srivastava, Vaibhav
2
2020
Evaluating the accuracy of the dynamic mode decomposition. Zbl 1448.37103
Zhang, Hao; Dawson, Scott T. M.; Rowley, Clarence W.; Deem, Eric A.; Cattafesta, Louis N.
1
2020
Approximation of Lyapunov functions from noisy data. Zbl 1447.37074
Giesl, Peter; Hamzi, Boumediene; Rasmussen, Martin; Webster, Kevin
1
2020
On the Rayleigh-Bénard-Marangoni problem: theoretical and numerical analysis. Zbl 1446.35137
Pérez-López, Jhean E.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J.
1
2020
Uncertainty in finite-time Lyapunov exponent computations. Zbl 1450.37077
Balasuriya, Sanjeeva
1
2020
A tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems. Zbl 1453.37076
Blachut, Chantelle; González-Tokman, Cecilia
1
2020
Manifold learning for accelerating coarse-grained optimization. Zbl 1450.37082
Pozharskiy, Dmitry; Wichrowski, Noah J.; Duncan, Andrew B.; Pavliotis, Grigorios A.; Kevrekidis, Ioannis G.
1
2020
Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 1482.65194
Hudson, Joshua; Jolly, Michael
8
2019
Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. Zbl 1421.76189
Bauer, Werner; Gay-Balmaz, François
7
2019
Deep learning as optimal control problems: models and numerical methods. Zbl 1429.68249
Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane
6
2019
Mori-Zwanzig reduced models for uncertainty quantification. Zbl 07100319
Li, Jing; Stinis, Panos
6
2019
Discrete gradients for computational Bayesian inference. Zbl 1437.62110
Pathiraja, Sahani; Reich, Sebastian
5
2019
Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II: Systems with a linear Poisson tensor. Zbl 1457.37085
Petrera, Matteo; Suris, Yuri B.
4
2019
Algebraic structure of aromatic B-series. Zbl 1434.37045
Bogfjellmo, Geir
3
2019
Locally conservative finite difference schemes for the modified KdV equation. Zbl 1436.65100
Frasca-Caccia, Gianluca; Hydon, Peter E.
3
2019
Integrable reductions of the dressing chain. Zbl 1440.53090
Evripidou, Charalampos; Kassotakis, Pavlos; Vanhaecke, Pol
2
2019
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
2
2019
A new class of integrable Lotka-Volterra systems. Zbl 1434.37036
Christodoulidi, Helen; Hone, Andrew N. W.; Kouloukas, Theodoros E.
2
2019
The Lie algebra of classical mechanics. Zbl 1431.17004
McLachlan, Robert I.; Murua, Ander
1
2019
Principal symmetric space analysis. Zbl 1437.62217
Curry, Charles; Marsland, Stephen; McLachlan, Robert I.
1
2019
Study of adaptive symplectic methods for simulating charged particle dynamics. Zbl 1432.37110
Shi, Yanyan; Sun, Yajuan; Wang, Yulei; Liu, Jian
1
2019
Re-factorising a QRT map. Zbl 1434.37039
Joshi, Nalini; Kassotakis, Pavlos
1
2019
Strange attractors in a predator-prey system with non-monotonic response function and periodic perturbation. Zbl 1434.37052
Tuwankotta, Johan Matheus; Harjanto, Eric
1
2019
Solving the wave equation with multifrequency oscillations. Zbl 1434.65200
Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
1
2019
Computer-assisted proofs for radially symmetric solutions of PDEs. Zbl 1409.35017
Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan
8
2018
Balanced model order reduction for linear random dynamical systems driven by Lévy noise. Zbl 1407.93081
Redmann, Martin; Freitag, Melina A.
4
2018
Optimal transport over nonlinear systems via infinitesimal generators on graphs. Zbl 1427.82039
Elamvazhuthi, Karthik; Grover, Piyush
1
2018
Parameterization method for unstable manifolds of delay differential equations. Zbl 1397.34123
Groothedde, C. M.; Mireles James, J. D.
12
2017
Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030
Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas
8
2017
Kernel methods for the approximation of some key quantities of nonlinear systems. Zbl 1394.37115
Bouvrie, Jake; Hamzi, Boumediene
4
2017
Set-oriented numerical computation of rotation sets. Zbl 1410.65482
Polotzek, Katja; Padberg-Gehle, Kathrin; Jäger, Tobias
2
2017
A Lin’s method approach for detecting all canard orbits arising from a folded node. Zbl 1397.34096
Mujica, José; Krauskopf, Bernd; Osinga, Hinke M.
2
2017
On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154
Schütte, Christof; Koltai, Péter; Klus, Stefan
45
2016
On the computation of attractors for delay differential equations. Zbl 1358.34081
Ziessler, Adrian; Hessel-Von Molo, Mirko; Dellnitz, Michael
12
2016
Computing coherent sets using the Fokker-Planck equation. Zbl 1369.37084
Denner, Andreas; Junge, Oliver; Matthes, Daniel
11
2016
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1369.37080
Klus, Stefan; Schütte, Christof
8
2016
Towards a formal tie between combinatorial and classical vector field dynamics. Zbl 1353.37096
Wanner, Thomas; Mrozek, Marian; Kaczynski, Tomasz
7
2016
Asymptotic invariance and the discretisation of nonautonomous forward attracting sets. Zbl 1366.34082
Kloeden, Peter E.
6
2016
Discretization strategies for computing Conley indices and Morse decompositions of flows. Zbl 1373.37043
Weilandt, Frank; Mrozek, Marian; Mischaikow, Konstantin
5
2016
Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation. Zbl 1369.37027
Giesl, Peter; McMichen, James
2
2016
Rigorous enclosures of rotation numbers by interval methods. Zbl 1353.37171
Belova, Anna
1
2016
A kernel-based method for data-driven Koopman spectral analysis. Zbl 1366.37144
Kevrekidis, Ioannis G.; Rowley, Clarence W.; Williams, Matthew O.
51
2015
Compressed sensing and dynamic mode decomposition. Zbl 1347.94012
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L.
23
2015
Attraction-based computation of hyperbolic Lagrangian coherent structures. Zbl 1353.37161
Karrasch, Daniel; Farazmand, Mohammad; Haller, George
13
2015
Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof. Zbl 1326.35029
Zgliczyński, Piotr
8
2015
An elementary way to rigorously estimate convergence to equilibrium and escape rates. Zbl 1353.37157
Galatolo, Stefano; Nisoli, Isaia; Saussol, Benoît
7
2015
Variational integrators for mechanical control systems with symmetries. Zbl 1397.70024
Colombo, Leonardo; Jiménez, Fernando; Martín de Diego, David
4
2015
Symmetry exploiting control of hybrid mechanical systems. Zbl 1353.37172
Flasskamp, Kathrin; Hage-Packhäuser, Sebastian; Ober-Blöbaum, Sina
3
2015
Modularity of directed networks: cycle decomposition approach. Zbl 1346.60144
Schütte, Christof; Banisch, Ralf; Djurdjevac Conrad, Nataša
1
2015
On dynamic mode decomposition: theory and applications. Zbl 1346.37064
Tu, Jonathan H.; Rowley, Clarence W.; Luchtenburg, Dirk M.; Brunton, Steven L.; Kutz, J. Nathan
146
2014
Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools. Zbl 1346.37066
Froyland, Gary; González-Tokman, Cecilia; Quas, Anthony
13
2014
Lattice structures for attractors. I. Zbl 1346.37013
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
12
2014
Global invariant manifolds near a Shilnikov homoclinic bifurcation. Zbl 1309.34077
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
7
2014
Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187
Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A.
7
2014
Necessary and sufficient condition for the global stability of a delayed discrete-time single neuron model. Zbl 1308.39014
Bartha, Ferenc A.; Garab, Ábel
6
2014
Modularity revisited: a novel dynamics-based concept for decomposing complex networks. Zbl 1348.60070
Sarich, Marco; Djurdjevac Conrad, Natasa; Bruckner, Sharon; Conrad, Tim O. F.; Schütte, Christof
4
2014
The computation of convex invariant sets via Newton’s method. Zbl 1306.65207
Baier, R.; Dellnitz, M.; Hessel-von Molo, M.; Sertl, S.; Kevrekidis, I. G.
3
2014
Reconstructing functions from random samples. Zbl 1330.55017
Ferry, Steve; Mischaikow, Konstantin; Nanda, Vidit
3
2014
Polynomial chaos based uncertainty quantification in Hamiltonian, multi-time scale, and chaotic systems. Zbl 1311.34132
Pasini, José Miguel; Sahai, Tuhin
3
2014
An equation-free approach to coarse-graining the dynamics of networks. Zbl 1317.68257
Bold, Katherine A.; Rajendran, Karthikeyan; Ráth, Balász; Kevrekidis, Ioannis G.
2
2014
Optimizing the stable behavior of parameter-dependent dynamical systems – maximal domains of attraction, minimal absorption times. Zbl 1311.34127
Koltai, Péter; Volf, Alexander
2
2014
Continuation and collapse of homoclinic tangles. Zbl 1320.37036
Beyn, Wolf-Jürgen; Hüls, Thorsten
1
2014
Global optimal feedbacks for stochastic quantized nonlinear event systems. Zbl 1302.93242
Jerg, Stefan; Junge, Oliver; Post, Marcus
1
2014
Equation-free computation of coarse-grained center manifolds of microscopic simulators. Zbl 1346.37065
Siettos, Constantinos
1
2014
all top 5

Cited by 763 Authors

24 Kutz, J. Nathan
23 Brunton, Steven L.
14 Schütte, Christof
13 Klus, Stefan
13 Koltai, Péter
12 Froyland, Gary
12 Lessard, Jean-Philippe
10 Mezić, Igor
9 Kevrekidis, Ioannis George
9 Mireles-James, Jason D.
9 Mischaikow, Konstantin
9 Peherstorfer, Benjamin
8 Mrozek, Marian
8 Willcox, Karen E.
7 van den Berg, Jan Bouwe
7 Wanner, Thomas
6 Galatolo, Stefano
6 Giannakis, Dimitrios
6 Kloeden, Peter Eris
6 Osinga, Hinke Maria
6 Rowley, Clarence W.
5 Alla, Alessandro
5 Balasuriya, Sanjeeva
5 Banisch, Ralf
5 Church, Kevin E. M.
5 Haller, George
5 Kaiser, Eurika
5 Krauskopf, Bernd
5 Peitz, Sebastian
5 Vega, José Manuel
4 Bollt, Erik M.
4 Brunton, Bingni Wen
4 Das, Suddhasattwa
4 Dellnitz, Michael
4 Duraisamy, Karthik
4 Gay-Balmaz, François
4 González-Tokman, Cecilia
4 Hamzi, Boumediene
4 Kalies, William D.
4 Karasözen, Bülent
4 Karrasch, Daniel
4 Le Clainche, Soledad
4 Loiseau, Jean-Christophe
4 Mauroy, Alexandre
4 Nüske, Feliks
4 Proctor, Joshua L.
4 Weber, Marcus
4 Ziessler, Adrian
3 Batko, Bogdan
3 Bauer, Werner
3 Biswas, Animikh
3 Bittracher, Andreas
3 Budišić, Marko
3 Caracciolo, Chiara
3 Chekroun, Mickaël D.
3 Cui, Hongyong
3 Dietrich, Felix
3 Drmač, Zlatko
3 Evangelista-Alvarado, Miguel Ángel
3 García-Azpeitia, Carlos
3 Gerlach, Raphael
3 Giesl, Peter
3 Harker, Shaun
3 Hartmann, Carsten
3 Junge, Oliver
3 Korda, Milan
3 Krämer, Boris
3 Maclean, John
3 Mohr, Ryan
3 Nisoli, Isaia
3 Noack, Bernd R.
3 Noé, Frank
3 Page, Jacob
3 Pan, Shaowu
3 Pontes Duff, Igor
3 Qian, Elizabeth
3 Queirolo, Elena
3 Ruíz-Pantaleón, José Crispín
3 Sander, Evelyn
3 Sapsis, Themistoklis P.
3 Suárez-Serrato, Pablo
3 Uzunca, Murat
3 van der Kamp, Peter H.
3 Vandervorst, Robertus C. A. M.
3 Zlotnik, Alexander A.
2 Aguirre, Pablo
2 Antown, Fadi
2 Aravkin, Aleksandr Y.
2 Arbabi, Hassan
2 Askham, Travis
2 Bahsoun, Wael
2 Baier, Robert
2 Balashov, Vladislav
2 Bandtlow, Oscar F.
2 Benner, Peter
2 Bunder, J. E.
2 Caccia, Gianluca Frasca
2 Carlson, Elizabeth
2 Casas, Fernando
2 Cattafesta, Louis N. III
...and 663 more Authors
all top 5

Cited in 113 Journals

56 SIAM Journal on Applied Dynamical Systems
26 Journal of Computational Dynamics
23 Journal of Fluid Mechanics
22 Journal of Nonlinear Science
20 Journal of Computational Physics
18 Chaos
14 Physica D
14 SIAM Journal on Scientific Computing
13 Nonlinearity
10 Communications in Nonlinear Science and Numerical Simulation
7 Journal of Differential Equations
7 Journal of Dynamics and Differential Equations
6 Journal of Statistical Physics
6 Multiscale Modeling & Simulation
5 Computer Methods in Applied Mechanics and Engineering
5 Applied Mathematics and Computation
5 Journal of Scientific Computing
5 SIAM Review
5 Applied and Computational Harmonic Analysis
5 Advances in Computational Mathematics
5 Foundations of Computational Mathematics
5 Discrete and Continuous Dynamical Systems. Series B
5 Discrete and Continuous Dynamical Systems. Series S
4 Automatica
4 Discrete and Continuous Dynamical Systems
3 Computers and Fluids
3 Computers & Mathematics with Applications
3 Chaos, Solitons and Fractals
3 Numerische Mathematik
3 SIAM Journal on Numerical Analysis
3 SIAM Journal on Mathematical Analysis
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Mathematical Physics, Analysis and Geometry
3 SIAM/ASA Journal on Uncertainty Quantification
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Journal of Applied and Computational Topology
2 Communications in Mathematical Physics
2 Journal of the Franklin Institute
2 Journal of Mathematical Analysis and Applications
2 Physica A
2 Journal of Computational and Applied Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Control and Optimization
2 Applied Numerical Mathematics
2 MCSS. Mathematics of Control, Signals, and Systems
2 European Journal of Applied Mathematics
2 Numerical Algorithms
2 Celestial Mechanics and Dynamical Astronomy
2 Indagationes Mathematicae. New Series
2 Journal of Difference Equations and Applications
2 European Journal of Mechanics. B. Fluids
2 Qualitative Theory of Dynamical Systems
2 Mediterranean Journal of Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Geometric Mechanics
1 Analysis Mathematica
1 Communications on Pure and Applied Mathematics
1 Geophysical and Astrophysical Fluid Dynamics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Biology
1 Physics Letters. A
1 Wave Motion
1 Mathematics of Computation
1 Applied Mathematics and Optimization
1 Inventiones Mathematicae
1 Journal of Optimization Theory and Applications
1 Mathematische Zeitschrift
1 Ergodic Theory and Dynamical Systems
1 Probability Theory and Related Fields
1 Applied Mathematics Letters
1 Neural Networks
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 Stochastic Processes and their Applications
1 International Journal of Robust and Nonlinear Control
1 Journal of Mathematical Imaging and Vision
1 Test
1 ETNA. Electronic Transactions on Numerical Analysis
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Complexity
1 Electronic Journal of Probability
1 Mathematics and Mechanics of Solids
1 International Journal of Computational Fluid Dynamics
1 Differential Equations and Dynamical Systems
1 Nonlinear Dynamics
1 Journal of Mathematical Fluid Mechanics
1 Computational Geosciences
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 Quantitative Finance
1 Matematicheskoe Modelirovanie
1 Computational Methods in Applied Mathematics
1 Journal of Machine Learning Research (JMLR)
1 Journal of Statistical Mechanics: Theory and Experiment
1 Mathematical Biosciences and Engineering
1 Journal of Industrial and Management Optimization
1 Networks and Heterogeneous Media
1 Nonlinear Analysis. Hybrid Systems
...and 13 more Journals
all top 5

Cited in 46 Fields

227 Dynamical systems and ergodic theory (37-XX)
165 Numerical analysis (65-XX)
78 Fluid mechanics (76-XX)
67 Partial differential equations (35-XX)
56 Ordinary differential equations (34-XX)
52 Systems theory; control (93-XX)
43 Computer science (68-XX)
35 Probability theory and stochastic processes (60-XX)
33 Statistics (62-XX)
24 Operator theory (47-XX)
23 Biology and other natural sciences (92-XX)
22 Statistical mechanics, structure of matter (82-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
14 Operations research, mathematical programming (90-XX)
13 Difference and functional equations (39-XX)
13 Mechanics of particles and systems (70-XX)
10 Mechanics of deformable solids (74-XX)
9 Geophysics (86-XX)
9 Information and communication theory, circuits (94-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Algebraic geometry (14-XX)
7 Differential geometry (53-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 General topology (54-XX)
5 Algebraic topology (55-XX)
5 Manifolds and cell complexes (57-XX)
4 Real functions (26-XX)
4 Functional analysis (46-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Combinatorics (05-XX)
3 Optics, electromagnetic theory (78-XX)
3 Quantum theory (81-XX)
3 Astronomy and astrophysics (85-XX)
2 Mathematical logic and foundations (03-XX)
2 Nonassociative rings and algebras (17-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Integral equations (45-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year