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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/jcd
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 169 Publications (since 2014)
References Indexed: 162 Publications with 5,612 References.
all top 5

Authors

7 Krauskopf, Bernd
6 Giesl, Peter
5 Celledoni, Elena
5 Osinga, Hinke Maria
4 Hafstein, Sigurður Freyr
4 Kevrekidis, Ioannis George
4 Lessard, Jean-Philippe
4 McLachlan, Robert I.
4 Mischaikow, Konstantin
4 Owren, Brynjulf
4 Schütte, Christof
4 van den Berg, Jan Bouwe
3 Blanes, Sergio
3 Casas, Fernando
3 Froyland, Gary
3 Junge, Oliver
3 McLaren, David I.
3 Quispel, Gilles Reinout Willem
3 Rowley, Clarence Worth
3 Tapley, Benjamin K.
3 Zanna, Antonella
2 Baier, Robert
2 Brunton, Steven L.
2 Dellnitz, Michael
2 Djurdjevac Conrad, Natasa
2 Elamvazhuthi, Karthik
2 González-Tokman, Cecilia
2 Grüne, Lars
2 Hamzi, Boumediene
2 Hartmann, Carsten
2 Hessel-von Molo, Mirko
2 Iannelli, Andrea
2 Kassotakis, Pavlos G.
2 Kawan, Christoph
2 Kloeden, Peter Eris
2 Klus, Stefan
2 Koltai, Péter
2 Kutz, J. Nathan
2 Laing, Carlo R.
2 Li, Jing
2 Locatelli, Ugo
2 Mireles-James, Jason D.
2 Mrozek, Marian
2 Munthe-Kaas, Hans Z.
2 Padberg-Gehle, Kathrin
2 Pavliotis, Grigorios A.
2 Pötzsche, Christian
2 Reich, Sebastian
2 Stinis, Panos
2 Thalhammer, Mechthild
2 Tu, Jonathan H.
2 van der Kamp, Peter H.
2 Wanner, Thomas
2 Webster, Kevin N.
1 Aguirre, Pablo
1 Ahbe, Eva
1 Alfatlawi, Mustaffa
1 Alvarez, Amaury Cruz
1 Armbruster, Dieter
1 Ascher, Uri M.
1 August, Elias
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 Barahona, Mauricio
1 Bartha, Ferenc Ágoston
1 Bauer, Werner
1 Becker, Simon
1 Belova, Anna Sergeevna
1 Benner, Peter
1 Benning, Martin
1 Berardi, Marco
1 Berg, André
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 Bréhier, Charles-Edouard
1 Breiten, Tobias
1 Bruckner, Sharon
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 Çokaj, Ergys
1 Colombo, Leonardo Jesus
...and 248 more Authors
all top 5

Fields

94 Dynamical systems and ergodic theory (37-XX)
93 Numerical analysis (65-XX)
33 Ordinary differential equations (34-XX)
20 Systems theory; control (93-XX)
18 Partial differential equations (35-XX)
15 Probability theory and stochastic processes (60-XX)
13 Computer science (68-XX)
11 Mechanics of particles and systems (70-XX)
11 Biology and other natural sciences (92-XX)
10 Difference and functional equations (39-XX)
10 Fluid mechanics (76-XX)
9 Differential geometry (53-XX)
8 General and overarching topics; collections (00-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Operator theory (47-XX)
5 Algebraic geometry (14-XX)
5 Approximations and expansions (41-XX)
5 Statistics (62-XX)
5 Operations research, mathematical programming (90-XX)
4 Combinatorics (05-XX)
4 Integral equations (45-XX)
3 Real functions (26-XX)
3 Mechanics of deformable solids (74-XX)
3 Information and communication theory, circuits (94-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Statistical mechanics, structure of matter (82-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 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-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)

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 802 times in 616 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
187
2014
A kernel-based method for data-driven Koopman spectral analysis. Zbl 1366.37144
Kevrekidis, Ioannis G.; Rowley, Clarence W.; Williams, Matthew O.
71
2015
On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154
Schütte, Christof; Koltai, Péter; Klus, Stefan
61
2016
Compressed sensing and dynamic mode decomposition. Zbl 1347.94012
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L.
26
2015
Lattice structures for attractors. I. Zbl 1346.37013
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
19
2014
Attraction-based computation of hyperbolic Lagrangian coherent structures. Zbl 1353.37161
Karrasch, Daniel; Farazmand, Mohammad; Haller, George
17
2015
Parameterization method for unstable manifolds of delay differential equations. Zbl 1397.34123
Groothedde, C. M.; Mireles James, J. D.
16
2017
Computing coherent sets using the Fokker-Planck equation. Zbl 1369.37084
Denner, Andreas; Junge, Oliver; Matthes, Daniel
14
2016
Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools. Zbl 1346.37066
Froyland, Gary; González-Tokman, Cecilia; Quas, Anthony
13
2014
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
13
2019
Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof. Zbl 1326.35029
Zgliczyński, Piotr
12
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
12
2018
On the computation of attractors for delay differential equations. Zbl 1358.34081
Ziessler, Adrian; Hessel-Von Molo, Mirko; Dellnitz, Michael
12
2016
Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030
Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas
10
2017
Rigorous numerics for ODEs using Chebyshev series and domain decomposition. Zbl 1481.65115
van den Berg, Jan Bouwe; Sheombarsing, Ray
10
2021
Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. Zbl 1421.76189
Bauer, Werner; Gay-Balmaz, François
9
2019
Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 1482.65194
Hudson, Joshua; Jolly, Michael
9
2019
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1369.37080
Klus, Stefan; Schütte, Christof
9
2016
Discrete gradients for computational Bayesian inference. Zbl 1437.62110
Pathiraja, Sahani; Reich, Sebastian
9
2019
Towards a formal tie between combinatorial and classical vector field dynamics. Zbl 1353.37096
Wanner, Thomas; Mrozek, Marian; Kaczynski, Tomasz
9
2016
An elementary way to rigorously estimate convergence to equilibrium and escape rates. Zbl 1353.37157
Galatolo, Stefano; Nisoli, Isaia; Saussol, Benoît
8
2015
Global invariant manifolds near a Shilnikov homoclinic bifurcation. Zbl 1309.34077
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
8
2014
Locally conservative finite difference schemes for the modified KdV equation. Zbl 1436.65100
Frasca-Caccia, Gianluca; Hydon, Peter E.
8
2019
Asymptotic invariance and the discretisation of nonautonomous forward attracting sets. Zbl 1366.34082
Kloeden, Peter E.
7
2016
Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187
Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A.
7
2014
On the influence of cross-diffusion in pattern formation. Zbl 1469.35202
Breden, Maxime; Kuehn, Christian; Soresina, Cinzia
7
2021
Mori-Zwanzig reduced models for uncertainty quantification. Zbl 07100319
Li, Jing; Stinis, Panos
6
2019
Kernel methods for the approximation of some key quantities of nonlinear systems. Zbl 1394.37115
Bouvrie, Jake; Hamzi, Boumediene
6
2017
Variational integrators for mechanical control systems with symmetries. Zbl 1397.70024
Colombo, Leonardo; Jiménez, Fernando; Martín de Diego, David
6
2015
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
On polynomial forms of nonlinear functional differential equations. Zbl 1482.34148
Hénot, Olivier
6
2021
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.
6
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
6
2020
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
6
2020
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 1492.65189
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
5
2022
Balanced model order reduction for linear random dynamical systems driven by Lévy noise. Zbl 1407.93081
Redmann, Martin; Freitag, Melina A.
5
2018
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
5
2014
A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schrödinger equation. Zbl 1434.65207
Miyatake, Yuto; Nakagawa, Tai; Sogabe, Tomohiro; Zhang, Shao-Liang
5
2019
Algebraic structure of aromatic B-series. Zbl 1434.37045
Bogfjellmo, Geir
5
2019
Computer-assisted estimates for Birkhoff normal forms. Zbl 1464.37062
Caracciolo, Chiara; Locatelli, Ugo
5
2020
Discretization strategies for computing Conley indices and Morse decompositions of flows. Zbl 1373.37043
Weilandt, Frank; Mrozek, Marian; Mischaikow, Konstantin
5
2016
Geometrical properties of the mean-median map. Zbl 1448.37024
Hoseana, Jonathan; Vivaldi, Franco
5
2020
A general framework for validated continuation of periodic orbits in systems of polynomial ODEs. Zbl 1469.37015
van den Berg, Jan Bouwe; Queirolo, Elena
5
2021
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.
4
2017
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
4
2019
Generalised Manin transformations and QRT maps. Zbl 1467.14037
van der Kamp, Peter H.; McLaren, David I.; Quispel, G. R. W.
4
2021
Numerical preservation issues in stochastic dynamical systems by \(\vartheta\)-methods. Zbl 1492.65020
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
3
2022
Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. Zbl 1497.37106
Kirsten, Gerhard
3
2022
Pattern formation on a growing oblate spheroid. An application to adult sea urchin development. Zbl 1487.35221
Lacitignola, Deborah; Frittelli, Massimo; Cusimano, Valerio; De Gaetano, Andrea
3
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
3
2022
A non-standard numerical scheme for an age-of-infection epidemic model. Zbl 1492.65366
Messina, Eleonora; Pezzella, Mario; Vecchio, Antonia
3
2022
Symmetry exploiting control of hybrid mechanical systems. Zbl 1353.37172
Flasskamp, Kathrin; Hage-Packhäuser, Sebastian; Ober-Blöbaum, Sina
3
2015
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
On computational Poisson geometry. II. Numerical methods. Zbl 1476.53022
Evangelista-Alvarado, Miguel Ángel; Ruíz-Pantaleón, José Crispín; Suárez-Serrato, Pablo
3
2021
Integrable reductions of the dressing chain. Zbl 1440.53090
Evripidou, Charalampos; Kassotakis, Pavlos; Vanhaecke, Pol
3
2019
Study of adaptive symplectic methods for simulating charged particle dynamics. Zbl 1432.37110
Shi, Yanyan; Sun, Yajuan; Wang, Yulei; Liu, Jian
3
2019
Re-factorising a QRT map. Zbl 1434.37039
Joshi, Nalini; Kassotakis, Pavlos
3
2019
A new class of integrable Lotka-Volterra systems. Zbl 1434.37036
Christodoulidi, Helen; Hone, Andrew N. W.; Kouloukas, Theodoros E.
3
2019
Solving the wave equation with multifrequency oscillations. Zbl 1434.65200
Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
3
2019
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
3
2020
Detecting and determining preserved measures and integrals of birational maps. Zbl 1505.37075
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.; Tapley, Benjamin K.
3
2022
A quadrature-based scheme for numerical solutions to Kirchhoff transformed Richards’ equation. Zbl 1490.65175
Berardi, Marco; Difonzo, Fabio V.
2
2022
Piecewise discretization of monodromy operators of delay equations on adapted meshes. Zbl 1492.65183
Breda, Dimitri; Liessi, Davide; Vermiglio, Rossana
2
2022
Rotation invariant patterns for a nonlinear Laplace-Beltrami equation: a Taylor-Chebyshev series approach. Zbl 1490.65308
van den Berg, Jan Bouwe; Duchesne, Gabriel William; Lessard, Jean-Philippe
2
2022
Set-oriented numerical computation of rotation sets. Zbl 1410.65482
Polotzek, Katja; Padberg-Gehle, Kathrin; Jäger, Tobias
2
2017
Optimal transport over nonlinear systems via infinitesimal generators on graphs. Zbl 1427.82039
Elamvazhuthi, Karthik; Grover, Piyush
2
2018
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
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
On the consistency of ensemble transform filter formulations. Zbl 1302.93217
Reich, Sebastian; Shin, Seoleun
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
Polynomial chaos based uncertainty quantification in Hamiltonian, multi-time scale, and chaotic systems. Zbl 1311.34132
Pasini, José Miguel; Sahai, Tuhin
2
2014
Motion tomography via occupation kernels. Zbl 1484.92050
Russo, Benjamin P.; Kamalapurkar, Rushikesh; Chang, Dongsik; Rosenfeld, Joel A.
2
2022
Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics. Zbl 1479.37082
García-Naranjo, Luis C.; Vermeeren, Mats
2
2021
The Lie algebra of classical mechanics. Zbl 1431.17004
McLachlan, Robert I.; Murua, Ander
2
2019
Principal symmetric space analysis. Zbl 1437.62217
Curry, Charles; Marsland, Stephen; McLachlan, Robert I.
2
2019
Strange attractors in a predator-prey system with non-monotonic response function and periodic perturbation. Zbl 1434.37052
Tuwankotta, Johan Matheus; Harjanto, Eric
2
2019
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
Uncertainty in finite-time Lyapunov exponent computations. Zbl 1450.37077
Balasuriya, Sanjeeva
2
2020
Computing connecting orbits to infinity associated with a homoclinic flip bifurcation. Zbl 1450.37074
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M.
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.
2
2020
Hamiltonian control of magnetic field lines: computer assisted results proving the existence of KAM barriers. Zbl 1510.37096
Valvo, Lorenzo; Locatelli, Ugo
2
2022
A self-consistent dynamical system with multiple absolutely continuous invariant measures. Zbl 1468.37005
Sélley, Fanni M.
2
2021
Simulating deformable objects for computer animation: a numerical perspective. Zbl 1493.65039
Ascher, Uri M.; Larionov, Egor; Sheen, Seung Heon; Pai, Dinesh K.
1
2022
A mathematical analysis of an activator-inhibitor Rho GTPase model. Zbl 1487.92006
Juma, Victor Ogesa; Dehmelt, Leif; Portet, Stéphanie; Madzvamuse, Anotida
1
2022
An algebraic approach to the spontaneous formation of spherical jets. Zbl 1490.76031
Viviani, Milo
1
2022
Symplectic P-stable additive Runge-Kutta methods. Zbl 1492.65351
Zanna, Antonella
1
2022
Modularity of directed networks: cycle decomposition approach. Zbl 1346.60144
Schütte, Christof; Banisch, Ralf; Djurdjevac Conrad, Nataša
1
2015
Computing continuous and piecewise affine Lyapunov functions for nonlinear systems. Zbl 1345.93119
Hafstein, Sigurdur F.; Kellett, Christopher M.; Li, Huijuan
1
2015
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
Computing Reeb dynamics on four-dimensional convex polytopes. Zbl 1489.53104
Chaidez, Julian; Hutchings, Michael
1
2021
Computing covariant Lyapunov vectors in Hilbert spaces. Zbl 1479.37055
Noethen, Florian
1
2021
Using Lie group integrators to solve two and higher dimensional variational problems with symmetry. Zbl 1433.58015
Zadra, Michele; Mansfield, Elizabeth L.
1
2019
Chains of rigid bodies and their numerical simulation by local frame methods. Zbl 1431.70005
Sætran, Nicolai; Zanna, Antonella
1
2019
Linear degree growth in lattice equations. Zbl 1478.37078
Tran, Dinh T.; Roberts, John A. G.
1
2019
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
Rigorous enclosures of rotation numbers by interval methods. Zbl 1353.37171
Belova, Anna
1
2016
Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations. Zbl 1448.93039
Benner, Peter; Breiten, Tobias; Hartmann, Carsten; Schmidt, Burkhard
1
2020
Review on contraction analysis and computation of contraction metrics. Zbl 1515.37002
Giesl, Peter; Hafstein, Sigurdur; Kawan, Christoph
1
2023
Neural dynamic mode decomposition for end-to-end modeling of nonlinear dynamics. Zbl 1522.37090
Iwata, Tomoharu; Kawahara, Yoshinobu
1
2023
Applying splitting methods with complex coefficients to the numerical integration of unitary problems. Zbl 1492.65189
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
5
2022
Numerical preservation issues in stochastic dynamical systems by \(\vartheta\)-methods. Zbl 1492.65020
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
3
2022
Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. Zbl 1497.37106
Kirsten, Gerhard
3
2022
Pattern formation on a growing oblate spheroid. An application to adult sea urchin development. Zbl 1487.35221
Lacitignola, Deborah; Frittelli, Massimo; Cusimano, Valerio; De Gaetano, Andrea
3
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
3
2022
A non-standard numerical scheme for an age-of-infection epidemic model. Zbl 1492.65366
Messina, Eleonora; Pezzella, Mario; Vecchio, Antonia
3
2022
Detecting and determining preserved measures and integrals of birational maps. Zbl 1505.37075
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.; Tapley, Benjamin K.
3
2022
A quadrature-based scheme for numerical solutions to Kirchhoff transformed Richards’ equation. Zbl 1490.65175
Berardi, Marco; Difonzo, Fabio V.
2
2022
Piecewise discretization of monodromy operators of delay equations on adapted meshes. Zbl 1492.65183
Breda, Dimitri; Liessi, Davide; Vermiglio, Rossana
2
2022
Rotation invariant patterns for a nonlinear Laplace-Beltrami equation: a Taylor-Chebyshev series approach. Zbl 1490.65308
van den Berg, Jan Bouwe; Duchesne, Gabriel William; Lessard, Jean-Philippe
2
2022
Motion tomography via occupation kernels. Zbl 1484.92050
Russo, Benjamin P.; Kamalapurkar, Rushikesh; Chang, Dongsik; Rosenfeld, Joel A.
2
2022
Hamiltonian control of magnetic field lines: computer assisted results proving the existence of KAM barriers. Zbl 1510.37096
Valvo, Lorenzo; Locatelli, Ugo
2
2022
Simulating deformable objects for computer animation: a numerical perspective. Zbl 1493.65039
Ascher, Uri M.; Larionov, Egor; Sheen, Seung Heon; Pai, Dinesh K.
1
2022
A mathematical analysis of an activator-inhibitor Rho GTPase model. Zbl 1487.92006
Juma, Victor Ogesa; Dehmelt, Leif; Portet, Stéphanie; Madzvamuse, Anotida
1
2022
An algebraic approach to the spontaneous formation of spherical jets. Zbl 1490.76031
Viviani, Milo
1
2022
Symplectic P-stable additive Runge-Kutta methods. Zbl 1492.65351
Zanna, Antonella
1
2022
Model order reduction for (stochastic-) delay equations with error bounds. Zbl 1518.93024
Becker, Simon; Richter, Lorenz
1
2022
Rigorous numerics for ODEs using Chebyshev series and domain decomposition. Zbl 1481.65115
van den Berg, Jan Bouwe; Sheombarsing, Ray
10
2021
On the influence of cross-diffusion in pattern formation. Zbl 1469.35202
Breden, Maxime; Kuehn, Christian; Soresina, Cinzia
7
2021
On polynomial forms of nonlinear functional differential equations. Zbl 1482.34148
Hénot, Olivier
6
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
5
2021
Generalised Manin transformations and QRT maps. Zbl 1467.14037
van der Kamp, Peter H.; McLaren, David I.; Quispel, G. R. W.
4
2021
On computational Poisson geometry. II. Numerical methods. Zbl 1476.53022
Evangelista-Alvarado, Miguel Ángel; Ruíz-Pantaleón, José Crispín; Suárez-Serrato, Pablo
3
2021
Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics. Zbl 1479.37082
García-Naranjo, Luis C.; Vermeeren, Mats
2
2021
A self-consistent dynamical system with multiple absolutely continuous invariant measures. Zbl 1468.37005
Sélley, Fanni M.
2
2021
Computing Reeb dynamics on four-dimensional convex polytopes. Zbl 1489.53104
Chaidez, Julian; Hutchings, Michael
1
2021
Computing covariant Lyapunov vectors in Hilbert spaces. Zbl 1479.37055
Noethen, Florian
1
2021
Computing Lyapunov functions using deep neural networks. Zbl 1507.68267
Grüne, Lars
1
2021
Optimization-based subdivision algorithm for reachable sets. Zbl 1467.93028
Riedl, Wolfgang; Baier, Robert; Gerdts, Matthias
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
6
2020
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
6
2020
Computer-assisted estimates for Birkhoff normal forms. Zbl 1464.37062
Caracciolo, Chiara; Locatelli, Ugo
5
2020
Geometrical properties of the mean-median map. Zbl 1448.37024
Hoseana, Jonathan; Vivaldi, Franco
5
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
3
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
Uncertainty in finite-time Lyapunov exponent computations. Zbl 1450.37077
Balasuriya, Sanjeeva
2
2020
Computing connecting orbits to infinity associated with a homoclinic flip bifurcation. Zbl 1450.37074
Giraldo, Andrus; Krauskopf, Bernd; Osinga, Hinke M.
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.
2
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
Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations. Zbl 1448.93039
Benner, Peter; Breiten, Tobias; Hartmann, Carsten; Schmidt, Burkhard
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
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
13
2019
Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. Zbl 1421.76189
Bauer, Werner; Gay-Balmaz, François
9
2019
Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 1482.65194
Hudson, Joshua; Jolly, Michael
9
2019
Discrete gradients for computational Bayesian inference. Zbl 1437.62110
Pathiraja, Sahani; Reich, Sebastian
9
2019
Locally conservative finite difference schemes for the modified KdV equation. Zbl 1436.65100
Frasca-Caccia, Gianluca; Hydon, Peter E.
8
2019
Mori-Zwanzig reduced models for uncertainty quantification. Zbl 07100319
Li, Jing; Stinis, Panos
6
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.
6
2019
A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schrödinger equation. Zbl 1434.65207
Miyatake, Yuto; Nakagawa, Tai; Sogabe, Tomohiro; Zhang, Shao-Liang
5
2019
Algebraic structure of aromatic B-series. Zbl 1434.37045
Bogfjellmo, Geir
5
2019
Efficient time integration methods for Gross-Pitaevskii equations with rotation term. Zbl 1434.35175
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild
4
2019
Integrable reductions of the dressing chain. Zbl 1440.53090
Evripidou, Charalampos; Kassotakis, Pavlos; Vanhaecke, Pol
3
2019
Study of adaptive symplectic methods for simulating charged particle dynamics. Zbl 1432.37110
Shi, Yanyan; Sun, Yajuan; Wang, Yulei; Liu, Jian
3
2019
Re-factorising a QRT map. Zbl 1434.37039
Joshi, Nalini; Kassotakis, Pavlos
3
2019
A new class of integrable Lotka-Volterra systems. Zbl 1434.37036
Christodoulidi, Helen; Hone, Andrew N. W.; Kouloukas, Theodoros E.
3
2019
Solving the wave equation with multifrequency oscillations. Zbl 1434.65200
Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
3
2019
The Lie algebra of classical mechanics. Zbl 1431.17004
McLachlan, Robert I.; Murua, Ander
2
2019
Principal symmetric space analysis. Zbl 1437.62217
Curry, Charles; Marsland, Stephen; McLachlan, Robert I.
2
2019
Strange attractors in a predator-prey system with non-monotonic response function and periodic perturbation. Zbl 1434.37052
Tuwankotta, Johan Matheus; Harjanto, Eric
2
2019
Using Lie group integrators to solve two and higher dimensional variational problems with symmetry. Zbl 1433.58015
Zadra, Michele; Mansfield, Elizabeth L.
1
2019
Chains of rigid bodies and their numerical simulation by local frame methods. Zbl 1431.70005
Sætran, Nicolai; Zanna, Antonella
1
2019
Linear degree growth in lattice equations. Zbl 1478.37078
Tran, Dinh T.; Roberts, John A. G.
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
12
2018
Balanced model order reduction for linear random dynamical systems driven by Lévy noise. Zbl 1407.93081
Redmann, Martin; Freitag, Melina A.
5
2018
Optimal transport over nonlinear systems via infinitesimal generators on graphs. Zbl 1427.82039
Elamvazhuthi, Karthik; Grover, Piyush
2
2018
Parameterization method for unstable manifolds of delay differential equations. Zbl 1397.34123
Groothedde, C. M.; Mireles James, J. D.
16
2017
Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030
Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas
10
2017
Kernel methods for the approximation of some key quantities of nonlinear systems. Zbl 1394.37115
Bouvrie, Jake; Hamzi, Boumediene
6
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.
4
2017
Set-oriented numerical computation of rotation sets. Zbl 1410.65482
Polotzek, Katja; Padberg-Gehle, Kathrin; Jäger, Tobias
2
2017
On the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1353.37154
Schütte, Christof; Koltai, Péter; Klus, Stefan
61
2016
Computing coherent sets using the Fokker-Planck equation. Zbl 1369.37084
Denner, Andreas; Junge, Oliver; Matthes, Daniel
14
2016
On the computation of attractors for delay differential equations. Zbl 1358.34081
Ziessler, Adrian; Hessel-Von Molo, Mirko; Dellnitz, Michael
12
2016
Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator. Zbl 1369.37080
Klus, Stefan; Schütte, Christof
9
2016
Towards a formal tie between combinatorial and classical vector field dynamics. Zbl 1353.37096
Wanner, Thomas; Mrozek, Marian; Kaczynski, Tomasz
9
2016
Asymptotic invariance and the discretisation of nonautonomous forward attracting sets. Zbl 1366.34082
Kloeden, Peter E.
7
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.
71
2015
Compressed sensing and dynamic mode decomposition. Zbl 1347.94012
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L.
26
2015
Attraction-based computation of hyperbolic Lagrangian coherent structures. Zbl 1353.37161
Karrasch, Daniel; Farazmand, Mohammad; Haller, George
17
2015
Steady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proof. Zbl 1326.35029
Zgliczyński, Piotr
12
2015
An elementary way to rigorously estimate convergence to equilibrium and escape rates. Zbl 1353.37157
Galatolo, Stefano; Nisoli, Isaia; Saussol, Benoît
8
2015
Variational integrators for mechanical control systems with symmetries. Zbl 1397.70024
Colombo, Leonardo; Jiménez, Fernando; Martín de Diego, David
6
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
Computing continuous and piecewise affine Lyapunov functions for nonlinear systems. Zbl 1345.93119
Hafstein, Sigurdur F.; Kellett, Christopher M.; Li, Huijuan
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
187
2014
Lattice structures for attractors. I. Zbl 1346.37013
Kalies, William D.; Mischaikow, Konstantin; Vandervorst, Robert C. A. M.
19
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
Global invariant manifolds near a Shilnikov homoclinic bifurcation. Zbl 1309.34077
Aguirre, Pablo; Krauskopf, Bernd; Osinga, Hinke M.
8
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
5
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
...and 7 more Documents
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Cited by 1,038 Authors

26 Brunton, Steven L.
26 Kutz, J. Nathan
19 Mireles-James, Jason D.
17 Lessard, Jean-Philippe
15 Klus, Stefan
15 Schütte, Christof
14 Koltai, Péter
13 Froyland, Gary
13 Peherstorfer, Benjamin
12 van den Berg, Jan Bouwe
10 Kevrekidis, Ioannis George
10 Mezić, Igor
10 Mischaikow, Konstantin
10 Mrozek, Marian
9 Wanner, Thomas
8 Giannakis, Dimitrios
7 Kloeden, Peter Eris
7 Peitz, Sebastian
6 Balasuriya, Sanjeeva
6 Galatolo, Stefano
6 Haller, George
6 Hamzi, Boumediene
6 Osinga, Hinke Maria
6 Rowley, Clarence Worth
6 Willcox, Karen E.
5 Alla, Alessandro
5 Banisch, Ralf
5 Bollt, Erik M.
5 Casas, Fernando
5 Church, Kevin E. M.
5 Frasca-Caccia, Gianluca
5 Gay-Balmaz, François
5 González-Tokman, Cecilia
5 Kaiser, Eurika
5 Kalies, William D.
5 Krauskopf, Bernd
5 Le Clainche, Soledad
5 Locatelli, Ugo
5 Loiseau, Jean-Christophe
5 McLachlan, Robert I.
5 Nüske, Feliks
5 Quispel, Gilles Reinout Willem
5 Sander, Evelyn
5 Vega, José Manuel
4 Batko, Bogdan
4 Biswas, Animikh
4 Breden, Maxime
4 Brunton, Bingni Wen
4 Celledoni, Elena
4 Das, Suddhasattwa
4 Dellnitz, Michael
4 Drmač, Zlatko
4 Duraisamy, Karthik
4 Giesl, Peter
4 Hartmann, Carsten
4 Jiang, Lijian
4 Karasözen, Bülent
4 Karrasch, Daniel
4 Krämer, Boris
4 Li, Wuchen
4 Martín de Diego, David
4 Mauroy, Alexandre
4 McLaren, David I.
4 Nisoli, Isaia
4 Proctor, Joshua L.
4 Suris, Yuri Borisovich
4 Uy, Wayne Isaac Tan
4 van der Kamp, Peter H.
4 Vandervorst, Robertus C. A. M.
4 Weber, Marcus
4 Ziessler, Adrian
4 Zlotnik, Alexander A.
3 Aguirre, Pablo
3 Bauer, Werner
3 Bittracher, Andreas
3 Blanes, Sergio
3 Budišić, Marko
3 Caracciolo, Chiara
3 Chekroun, Mickaël D.
3 Colbrook, Matthew J.
3 Colombo, Leonardo Jesus
3 Cotter, Colin John
3 Cui, Hongyong
3 de la Llave, Rafael
3 Dietrich, Felix
3 Djurdjevac Conrad, Natasa
3 Dudás, János
3 Evangelista-Alvarado, Miguel Ángel
3 García-Azpeitia, Carlos
3 Gerlach, Raphael
3 Gimeno, Joan
3 Harker, Shaun
3 Hénot, Olivier
3 Junge, Oliver
3 Kawahara, Yoshinobu
3 Kepley, Shane
3 Korda, Milan
3 Maclean, John
3 Mohr, Ryan
3 Murray, Maxime
...and 938 more Authors
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Cited in 137 Journals

70 SIAM Journal on Applied Dynamical Systems
37 Journal of Computational Dynamics
33 Journal of Fluid Mechanics
31 Journal of Computational Physics
29 Journal of Nonlinear Science
20 Physica D
19 SIAM Journal on Scientific Computing
18 Chaos
15 Nonlinearity
14 Journal of Differential Equations
13 Communications in Nonlinear Science and Numerical Simulation
9 Journal of Dynamics and Differential Equations
8 Computer Methods in Applied Mechanics and Engineering
8 Journal of Scientific Computing
7 Journal of Statistical Physics
7 Journal of Computational and Applied Mathematics
7 Advances in Computational Mathematics
7 Foundations of Computational Mathematics
6 Applied Mathematics and Computation
6 Automatica
6 Applied and Computational Harmonic Analysis
6 Discrete and Continuous Dynamical Systems. Series B
6 Multiscale Modeling & Simulation
5 Computers & Mathematics with Applications
5 Applied Numerical Mathematics
5 SIAM Review
5 Journal of Physics A: Mathematical and Theoretical
5 Discrete and Continuous Dynamical Systems. Series S
5 SIAM/ASA Journal on Uncertainty Quantification
4 Physica A
4 SIAM Journal on Numerical Analysis
4 Numerical Methods for Partial Differential Equations
4 SIAM Journal on Mathematical Analysis
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Discrete and Continuous Dynamical Systems
4 Acta Numerica
3 Computers and Fluids
3 Communications on Pure and Applied Mathematics
3 Journal of the Franklin Institute
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Numerische Mathematik
3 MCSS. Mathematics of Control, Signals, and Systems
3 Numerical Algorithms
3 Celestial Mechanics and Dynamical Astronomy
3 Indagationes Mathematicae. New Series
3 International Journal of Computational Fluid Dynamics
3 Nonlinear Dynamics
3 Mathematical Physics, Analysis and Geometry
3 Oberwolfach Reports
3 Journal of Geometric Mechanics
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 Computer Physics Communications
2 Journal of Mathematical Analysis and Applications
2 Chaos, Solitons and Fractals
2 BIT
2 SIAM Journal on Control and Optimization
2 Systems & Control Letters
2 European Journal of Applied Mathematics
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 Mathematical Control and Related Fields
2 Bollettino dell’Unione Matematica Italiana
2 SN Partial Differential Equations and Applications
1 Analysis Mathematica
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Geophysical and Astrophysical Fluid Dynamics
1 International Journal of Control
1 Inverse Problems
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 Calcolo
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 The Annals of Applied Probability
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Mathematics and Mathematical Physics
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 Applicationes Mathematicae
...and 37 more Journals
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Cited in 49 Fields

296 Dynamical systems and ergodic theory (37-XX)
236 Numerical analysis (65-XX)
110 Fluid mechanics (76-XX)
100 Partial differential equations (35-XX)
72 Systems theory; control (93-XX)
66 Ordinary differential equations (34-XX)
61 Computer science (68-XX)
47 Probability theory and stochastic processes (60-XX)
47 Statistics (62-XX)
35 Operator theory (47-XX)
32 Biology and other natural sciences (92-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
26 Statistical mechanics, structure of matter (82-XX)
24 Mechanics of particles and systems (70-XX)
22 Difference and functional equations (39-XX)
21 Operations research, mathematical programming (90-XX)
17 Mechanics of deformable solids (74-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
11 Algebraic geometry (14-XX)
10 Geophysics (86-XX)
10 Information and communication theory, circuits (94-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 General topology (54-XX)
7 General and overarching topics; collections (00-XX)
7 Order, lattices, ordered algebraic structures (06-XX)
7 Approximations and expansions (41-XX)
7 Functional analysis (46-XX)
7 Differential geometry (53-XX)
7 Algebraic topology (55-XX)
7 Manifolds and cell complexes (57-XX)
7 Optics, electromagnetic theory (78-XX)
6 Combinatorics (05-XX)
6 Real functions (26-XX)
6 Quantum theory (81-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Integral equations (45-XX)
3 Astronomy and astrophysics (85-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
1 History and biography (01-XX)
1 Category theory; homological algebra (18-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Relativity and gravitational theory (83-XX)

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