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Networks and Heterogeneous Media

An Applied Mathematics Journal

Short Title: Netw. Heterog. Media
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 1556-1801; 1556-181X/e
Online: http://www.aimspress.com/nhm/article/archives
Comments: Journal; Published electronic only as of Vol. 5 (2010). Print ISSN until then: 1556-1801
Documents Indexed: 689 Publications (since 2006)
References Indexed: 360 Publications with 11,448 References.
all top 5

Authors

22 Piccoli, Benedetto
21 Herty, Michael Matthias
13 Ha, Seung-Yeal
12 Göttlich, Simone
11 Karlsen, Kenneth Hvistendahl
8 Bayen, Alexandre M.
8 Colombo, Rinaldo M.
8 Degond, Pierre
8 Garavello, Mauro
8 Goatin, Paola
7 Bendahmane, Mostafa
7 Berlyand, Leonid V.
7 Bressan, Alberto
7 Coclite, Giuseppe Maria
7 D’Apice, Ciro
7 Mimura, Masayasu
6 Bastin, Georges
6 Berestycki, Henri
6 Bürger, Raimund
6 Evje, Steinar
6 Gugat, Martin
6 Marcellini, Francesca
6 Muntean, Adrian
5 Aiki, Toyohiko
5 Andreianov, Boris
5 Camilli, Fabio
5 Criado, Regino
5 DeSimone, Antonio
5 Hilhorst, Danielle
5 Leugering, Günter
5 Li, Tong
5 Li, Zhuchun
5 Manzo, Rosanna
5 Pareschi, Lorenzo
5 Piatnitski, Andrey L.
5 Romance, Miguel
5 Tosin, Andrea
5 Xu, Gen-Qi
4 Bellomo, Nicola
4 Benito, Rosa Maria
4 Braides, Andrea
4 Briani, Maya
4 Choi, Young-Pil
4 Chyba, Monique
4 Galeano, Javier
4 Han, Zhongjie
4 Klar, Axel
4 Kramar Fijavž, Marjeta
4 Marigo, Alessia
4 Marson, Andrea
4 Merle, Frank
4 Nazarov, Sergeĭ Aleksandrovich
4 Novaga, Matteo
4 Pakdaman, Khashayar
4 Ruiz-Baier, Ricardo
4 Santambrogio, Filippo
4 Schmidt, Bernd
4 Seguin, Nicolas
4 Towers, John D.
3 Ahn, Hyunjin
3 Blanc, Xavier
3 Caravenna, Laura
3 Chalons, Christophe
3 Chiadò Piat, Valeria
3 Chiarello, Felisia Angela
3 Choi, Sun-Ho
3 Cristiani, Emiliano
3 Dal Maso, Gianni
3 Delle Monache, Maria Laura
3 Di Ruvo, Lorenzo
3 Du, Linglong
3 Friedrich, Jan
3 Gong, Xiaoqian
3 Heida, Martin
3 Jin, Shi
3 Jost, Jürgen
3 Keimer, Alexander
3 Kolb, Oliver
3 Kumazaki, Kota
3 Lagoutière, Frédéric
3 Lai, Anna Chiara
3 Le Bris, Claude
3 Lebacque, Jean Patrick
3 Litrico, Xavier
3 Loreti, Paola
3 Losada, Juan Carlos
3 Marchi, Claudio
3 Maury, Bertrand
3 McQuade, Sean T.
3 Mishra, Siddhartha
3 Natalini, Roberto
3 Panasenko, Grigory P.
3 Pastor, Juan Manuel
3 Pastukhova, Svetlana Evgenievna
3 Risebro, Nils Henrik
3 Rosini, Massimiliano Daniele
3 Rossi, Elena
3 Rybalko, Volodymyr
3 Schweizer, Ben
3 Tang, Yanbin
...and 1,146 more Authors
all top 5

Fields

407 Partial differential equations (35-XX)
128 Operations research, mathematical programming (90-XX)
116 Numerical analysis (65-XX)
110 Biology and other natural sciences (92-XX)
103 Fluid mechanics (76-XX)
84 Calculus of variations and optimal control; optimization (49-XX)
82 Mechanics of deformable solids (74-XX)
70 Systems theory; control (93-XX)
60 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
53 Statistical mechanics, structure of matter (82-XX)
49 Ordinary differential equations (34-XX)
35 Dynamical systems and ergodic theory (37-XX)
33 Combinatorics (05-XX)
32 Probability theory and stochastic processes (60-XX)
31 Computer science (68-XX)
25 Operator theory (47-XX)
18 General and overarching topics; collections (00-XX)
16 Information and communication theory, circuits (94-XX)
15 Mechanics of particles and systems (70-XX)
12 Classical thermodynamics, heat transfer (80-XX)
10 Integral equations (45-XX)
10 Statistics (62-XX)
9 Functional analysis (46-XX)
9 Differential geometry (53-XX)
9 Optics, electromagnetic theory (78-XX)
8 Real functions (26-XX)
8 Measure and integration (28-XX)
8 Global analysis, analysis on manifolds (58-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Quantum theory (81-XX)
3 History and biography (01-XX)
3 Difference and functional equations (39-XX)
2 Number theory (11-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Convex and discrete geometry (52-XX)
2 Geophysics (86-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

501 Publications have been cited 4,485 times in 3,373 Documents Cited by Year
Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194
Bunting, Gary; Du, Yihong; Krakowski, Krzysztof
155
2012
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Zbl 1108.92023
Chaplain, M. A. J.; Lolas, G.
137
2006
Gas flow in pipeline networks. Zbl 1108.76063
Banda, Mapundi K.; Herty, Michael; Klar, Axel
86
2006
Coupling conditions for gas networks governed by the isothermal Euler equations. Zbl 1109.76052
Banda, Mapundi K.; Herty, Michael; Klar, Axel
82
2006
Long time average of mean field games. Zbl 1270.35098
Cardaliaguet, Pierre; Lasry, Jean-Michel; Lions, Pierre-Louis; Porretta, Alessio
78
2012
A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
74
2013
Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks. Zbl 1211.35050
Nicaise, Serge; Valein, Julie
64
2007
Explicit solutions of some linear-quadratic mean field games. Zbl 1268.91017
Bardi, Martino
53
2012
Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328
Burger, Martin; Di Francesco, Marco
50
2008
Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue. Zbl 1179.35162
Bendahmane, Mostafa; Karlsen, Kenneth H.
48
2006
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity. Zbl 1350.35117
Goatin, Paola; Scialanga, Sheila
48
2016
Handling congestion in crowd motion modeling. Zbl 1260.49039
Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo; Venel, Juliette
48
2011
Null controllability of degenerate parabolic operators with drift. Zbl 1140.93011
Cannarsa, Piermarco; Fragnelli, Genni; Rocchetti, Dario
41
2007
Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint. Zbl 1131.49029
Alicandro, Roberto; Braides, Andrea; Cicalese, Marco
40
2006
A well posed Riemann problem for the \(p\)-system at a junction. Zbl 1116.35086
Colombo, Rinaldo M.; Garavello, Mauro
40
2006
On Lyapunov stability of linearised Saint-Venant equations for a sloping channel. Zbl 1185.37175
Bastin, Georges; Coron, Jean-Michel; d’Andréa-Novel, Brigitte
38
2009
Conservation laws with discontinuous flux. Zbl 1142.35511
Garavello, Mauro; Nataline, Roberto; Piccoli, Benedotto; Terracina, Andrea
34
2007
Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171
Ni, Wei-Ming; Taniguchi, Masaharu
34
2013
On vanishing viscosity approximation of conservation laws with discontinuous flux. Zbl 1270.35305
Andreianov, Boris; Karlsen, Kenneth H.; Risebro, Nils H.
34
2010
Modeling cell movement in anisotropic and heterogeneous network tissues. Zbl 1115.92009
Chauviere, A.; Hillen, T.; Preziosi, L.
33
2007
Gaussian estimates for a heat equation on a network. Zbl 1142.35349
Mugnolo, Delio
32
2007
Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model. Zbl 1304.35700
Fan, Shimao; Herty, Michael; Seibold, Benjamin
31
2014
Opinion dynamics under the influence of radical groups, charismatic leaders, and other constant signals: a simple unifying model. Zbl 1332.90049
Hegselmann, Rainer; Krause, Ulrich
30
2015
Numerical approximations of a traffic flow model on networks. Zbl 1124.90005
Bretti, G.; Natalini, R.; Piccoli, B.
29
2006
The Cauchy problem for the inhomogeneous porous medium equation. Zbl 1124.35035
Reyes, Guillermo; Vazquez, Juan Luis
29
2006
A Godunov type scheme for a class of LWR traffic flow models with non-local flux. Zbl 1468.65123
Friedrich, Jan; Kolb, Oliver; Göttlich, Simone
28
2018
A-priori estimates for stationary mean-field games. Zbl 1260.49071
Gomes, Diogo A.; Pires, Gabriel E.; Sánchez-Morgado, Héctor
28
2012
Stationary states in gas networks. Zbl 1332.93154
Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter
27
2015
Optimal control problems on stratified domains. Zbl 1123.49028
Bressan, Alberto; Hong, Yunho
26
2007
A derivation of linear elastic energies from pair-interaction atomistic systems. Zbl 1183.74017
Braides, Andrea; Solci, Margherita; Vitali, Enrico
26
2007
Vertex control of flows in networks. Zbl 1154.93004
Engel, Klaus-Jochen; Kramar Fijavž, Marjeta; Nagel, Rainer; Sikolya, Eszter
26
2008
On the derivation of linear elasticity from atomistic models. Zbl 1183.74020
Schmidt, Bernd
24
2009
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059
Dick, Markus; Gugat, Martin; Leugering, Günter
24
2010
Non-oscillatory central schemes for traffic flow models with Arrhenius look-ahead dynamics. Zbl 1183.76817
Kurganov, Alexander; Polizzi, Anthony
23
2009
Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis. Zbl 1160.35438
Bendahmane, Mostafa
23
2008
From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278
Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan
23
2015
Lyapunov stability analysis of networks of scalar conservation laws. Zbl 1165.35411
Bastin, G.; Haut, B.; Coron, J.-M.; d’Andréa-Novel, B.
23
2007
Constructing set-valued fundamental diagrams from jamiton solutions in second order traffic models. Zbl 1277.35103
Seibold, Benjamin; Flynn, Morris R.; Kasimov, Aslan R.; Rosales, Rodolfo Ruben
23
2013
Two-way multi-lane traffic model for pedestrians in corridors. Zbl 1260.90051
Appert-Rolland, Cécile; Degond, Pierre; Motsch, Sébastien
23
2011
Iterative strategies for solving linearized discrete mean field games systems. Zbl 1268.91020
Achdou, Yves; Perez, Victor
23
2012
General constrained conservation laws. Application to pedestrian flow modeling. Zbl 1275.35144
Chalons, Christophe; Goatin, Paola; Seguin, Nicolas
22
2013
Non-local multi-class traffic flow models. Zbl 1426.35153
Chiarello, Felisia Angela; Goatin, Paola
21
2019
The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. Zbl 1264.65161
Henning, Patrick; Ohlberger, Mario
21
2010
Empirical results for pedestrian dynamics and their implications for modeling. Zbl 1260.90057
Schadschneider, Andreas; Seyfried, Armin
21
2011
Optimization criteria for modelling intersections of vehicular traffic flow. Zbl 1131.90016
Herty, M.; Moutari, S; Rascle, M.
20
2006
Modeling, simulation and optimization of gas networks with compressors. Zbl 1132.76045
Herty, Michael
20
2007
Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011
Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang
20
2015
Modeling opinion dynamics: how the network enhances consensus. Zbl 1377.91142
Dolfin, Marina; Lachowicz, Mirosław
20
2015
Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088
Gugat, Martin; Sigalotti, Mario
20
2010
On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052
Bellomo, Nicola; Bellouquid, Abdelghani
20
2011
Homogenization of spectral problems in bounded domains with doubly high contrasts. Zbl 1173.35331
Babych, Natalia O.; Kamotski, Ilia V.; Smyshlyaev, Valery P.
19
2008
Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes. Zbl 1284.35276
Coclite, Giuseppe Maria; Di Ruvo, Lorenzo; Ernest, Jan; Mishra, Siddhartha
19
2013
Asymptotic synchronous behavior of Kuramoto type models with frustrations. Zbl 1333.92044
Ha, Seung-Yeal; Kim, Yongduck; Li, Zhuchun
19
2014
Numerical network models and entropy principles for isothermal junction flow. Zbl 1304.35523
Reigstad, Gunhild A.
19
2014
Shock formation in a traffic flow model with Arrhenius look-ahead dynamics. Zbl 1270.35313
Li, Dong; Li, Tong
19
2011
New numerical methods for mean field games with quadratic costs. Zbl 1270.35020
Guéant, Olivier
19
2012
Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem. Zbl 1260.35147
Mikelić, Andro; Guidoboni, Giovanna; Čanić, Sunčica
18
2007
Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
18
2007
Opinion dynamics on a general compact Riemannian manifold. Zbl 1415.91233
Aydoğdu, Aylin; McQuade, Sean T.; Duteil, Nastassia Pouradier
18
2017
Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. Zbl 1304.35052
Mielke, Alexander; Reichelt, Sina; Thomas, Marita
18
2014
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177
Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille
18
2019
Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations. Zbl 1262.35009
Caetano, Filipa; Gander, Martin J.; Halpern, Laurence; Szeftel, Jérémie
18
2010
Tailored finite point method for the interface problem. Zbl 1187.65128
Huang, Zhongyi
17
2009
Practical synchronization of generalized Kuramoto systems with an intrinsic dynamics. Zbl 1401.34041
Ha, Seung-Yeal; Noh, Se Eun; Park, Jinyeong
17
2015
\(k\)-core decomposition of internet graphs: hierarchies, self-similarity and measurement biases. Zbl 1145.68470
Alvarez-Hamelin, José Ignacio; Dall’Asta, Luca; Barrat, Alain; Vespignani, Alessandro
17
2008
On the micro-to-macro limit for first-order traffic flow models on networks. Zbl 1346.35127
Cristiani, Emiliano; Sahu, Smita
17
2016
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. Zbl 1435.34081
Choi, Young-Pil; Pignotti, Cristina
17
2019
Existence and approximation of probability measure solutions to models of collective behaviors. Zbl 1262.35162
Tosin, Andrea; Frasca, Paolo
17
2011
A modest proposal for MFG with density constraints. Zbl 1268.91023
Santambrogio, Filippo
17
2012
PDE problems arising in mathematical biology. Zbl 1260.49001
Friedman, Avner
17
2012
A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation. Zbl 1339.35175
Coclite, Giuseppe Maria; di Ruvo, Lorenzo
16
2016
Asymptotic behaviour of flows on reducible networks. Zbl 1304.35723
Banasiak, Jacek; Namayanja, Proscovia
16
2014
A semi-discrete approximation for a first order mean field game problem. Zbl 1260.91019
Camilli, Fabio; Silva, Francisco
16
2012
Distributed model predictive control of irrigation canals. Zbl 1194.93161
Negenborn, Rudy R.; van Overloop, Peter-Jules; Keviczky, Tamás; de Schutter, Bart
15
2009
Globally stable quasistatic evolution in plasticity with softening. Zbl 1156.74308
Dal Maso, G.; DeSimone, A.; Mora, M. G.; Morini, M.
15
2008
On gradient structures for Markov chains and the passage to Wasserstein gradient flows. Zbl 1372.35124
Disser, Karoline; Liero, Matthias
15
2015
On the passage from atomistic systems to nonlinear elasticity theory for general multi-body potentials with p-growth. Zbl 1283.49013
Braun, Julian; Schmidt, Bernd
15
2013
Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication. Zbl 1459.82253
Choi, Young-Pil; Ha, Seung-Yeal; Kim, Jeongho
15
2018
A fluid dynamic model for supply chains. Zbl 1131.90002
D’Apice, Ciro; Manzo, Rosanna
14
2006
Optimal control for continuous supply network models. Zbl 1131.90009
Kirchner, Claus; Herty, Michael; Göttlich, Simone; Klar, Axel
14
2006
On the control volume finite element methods and their applications to multiphase flow. Zbl 1204.76018
Chen, Zhangxin
14
2006
A second order model of road junctions in fluid models of traffic networks. Zbl 1161.35443
Haut, Bertrand; Bastin, Georges
14
2007
Feedback stabilization of a coupled string-beam system. Zbl 1183.93109
Ammari, Kaïs; Jellouli, Mohamed; Mehrenberger, Michel
14
2009
Kinetic models for polymers with inertial effects. Zbl 1183.76614
Degond, Pierre; Liu, Hailiang
14
2009
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Zbl 1173.35586
Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D.
14
2008
Sparse stabilization of dynamical systems driven by attraction and avoidance forces. Zbl 1333.93112
Bongini, Mattia; Fornasier, Massimo
14
2014
Computational models for fluid exchange between microcirculation and tissue interstitium. Zbl 1305.76138
Cattaneo, Laura; Zunino, Paolo
14
2014
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122
Holden, Helge; Risebro, Nils Henrik
14
2018
Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings. Zbl 1262.65115
Blanc, Xavier; Le Bris, Claude
14
2010
A particle system in interaction with a rapidly varying environment: mean field limits and applications. Zbl 1262.60092
Bordenave, Charles; McDonald, David R.; Proutière, Alexandre
14
2010
On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types. Zbl 1262.35163
Cancès, Clément
14
2010
Uniform stability and mean-field limit for the augmented Kuramoto model. Zbl 1405.70007
Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao
14
2018
Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2. Zbl 1127.35310
D’Apice, C.; De Maio, U.; Mel’nyk, T. A.
13
2007
Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem. Zbl 1186.35013
Chambolle, Antonin; Thouroude, Gilles
13
2009
Random homogenization of fractional obstacle problems. Zbl 1156.74359
Caffarelli, Luis; Mellet, Antoine
13
2008
Asymptotical compliance optimization for connected networks. Zbl 1223.49017
Buttazzo, Giuseppe; Santambrogio, Filippo
13
2007
Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface. Zbl 1418.35026
Gahn, Markus; Neuss-Radu, Maria; Knabner, Peter
13
2018
Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143
Bellomo, Nicola; Burini, Diletta; Outada, Nisrine
13
2022
The computation of nonclassical shock waves with a heterogeneous multiscale method. Zbl 1270.35312
Kissling, Frederike; Rohde, Christian
13
2010
Convergence of discrete duality finite volume schemes for the cardiac bidomain model. Zbl 1328.65190
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth H.; Pierre, Charles
13
2011
Nonlocal scalar conservation laws with discontinuous flux. Zbl 07798638
Chiarello, Felisia Angela; Coclite, Giuseppe Maria
2
2023
Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays. Zbl 07798640
Deng, Dingwen; Chen, Jingliang
2
2023
Global solution to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity. Zbl 07798628
Gu, Caihong; Tang, Yanbin
2
2023
Homogenization of nonlinear nonlocal diffusion equation with periodic and stationary structure. Zbl 07798652
Chen, Junlong; Tang, Yanbin
1
2023
Numerical schemes for a class of nonlocal conservation laws: a general approach. Zbl 07798661
Friedrich, Jan; Sudha, Sanjibanee; Rathan, Samala
1
2023
Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143
Bellomo, Nicola; Burini, Diletta; Outada, Nisrine
13
2022
Compactness property of the linearized Boltzmann operator for a diatomic single gas model. Zbl 1497.76117
Brull, Stéphane; Shahine, Marwa; Thieullen, Philippe
6
2022
Well-posedness theory for nonlinear scalar conservation laws on networks. Zbl 1485.65097
Musch, Markus; Fjordholm, Ulrik Skre; Risebro, Nils Henrik
5
2022
Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Zbl 1496.35405
Erbar, Matthias; Forkert, Dominik; Maas, Jan; Mugnolo, Delio
4
2022
An explicit finite volume algorithm for vanishing viscosity solutions on a network. Zbl 1487.90206
Towers, John D.
3
2022
Mean-field limit of collective dynamics with time-varying weights. Zbl 1497.37011
Duteil, Nastassia Pouradier
3
2022
An atomistic derivation of von-Kármán plate theory. Zbl 1502.70014
Braun, Julian; Schmidt, Bernd
3
2022
Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties. Zbl 1498.65016
Bertaglia, Giulia; Liu, Liu; Pareschi, Lorenzo; Zhu, Xueyu
3
2022
A measure model for the spread of viral infections with mutations. Zbl 1501.92157
Gong, Xiaoqian; Piccoli, Benedetto
3
2022
Optimization of vaccination for COVID-19 in the midst of a pandemic. Zbl 1501.92087
Luo, Qi; Weightman, Ryan; McQuade, Sean T.; Díaz, Mateo; Trélat, Emmanuel; Barbour, William; Work, Dan; Samaranayake, Samitha; Piccoli, Benedetto
3
2022
An SIR-like kinetic model tracking individuals’ viral load. Zbl 1497.92279
Marca, Rossella Della; Loy, Nadia; Tosin, Andrea
3
2022
Telegraph systems on networks and port-Hamiltonians. II: Network realizability. Zbl 1487.35385
Banasiak, Jacek; Błoch, Adam
2
2022
Homogenization of stiff inclusions through network approximation. Zbl 1489.35008
Gérard-Varet, David; Girodroux-Lavigne, Alexandre
2
2022
Nonlocal reaction traffic flow model with on-off ramps. Zbl 1490.65166
Chiarello, Felisia Angela; Contreras, Harold Deivi; Villada, Luis Miguel
1
2022
Stochastic two-scale convergence and Young measures. Zbl 1493.74101
Heida, Martin; Neukamm, Stefan; Varga, Mario
1
2022
Emergence of synchronization in Kuramoto model with frustration under general network topology. Zbl 1485.34141
Zhu, Tingting
1
2022
Stability analysis of microscopic models for traffic flow with lane changing. Zbl 1504.76010
Piu, Matteo; Puppo, Gabriella
1
2022
A periodic homogenization problem with defects rare at infinity. Zbl 1496.35044
Goudey, Rémi
1
2022
A study of computational and conceptual complexities of compartment and agent based models. Zbl 1501.92168
Kunwar, Prateek; Markovichenko, Oleksandr; Chyba, Monique; Mileyko, Yuriy; Koniges, Alice; Lee, Thomas
1
2022
Vaccination strategies through intra-compartmental dynamics. Zbl 1501.92084
Colombo, Rinaldo M.; Marcellini, Francesca; Rossi, Elena
1
2022
Advanced mathematical methodologies to contrast COVID-19 pandemic. Zbl 07607846
1
2022
Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph. Zbl 1465.34010
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
9
2021
Influence of a slow moving vehicle on traffic: well-posedness and approximation for a mildly nonlocal model. Zbl 1469.35146
Sylla, Abraham
5
2021
Opinion fitness and convergence to consensus in homogeneous and heterogeneous populations. Zbl 1468.91117
Pérez-Llanos, Mayte; Pinasco, Juan Pablo; Saintier, Nicolas
5
2021
An inverse problem for quantum trees with observations at interior vertices. Zbl 1469.35244
Avdonin, Sergei; Edward, Julian
3
2021
Multiple patterns formation for an aggregation/diffusion predator-prey system. Zbl 1481.35054
Fagioli, Simone; Jaafra, Yahya
2
2021
Bi-continuous semigroups for flows on infinite networks. Zbl 1481.35367
Budde, Christian; Fijavž, Marjeta Kramar
2
2021
A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. Zbl 1473.65095
Bürger, Raimund; Chalons, Christophe; Ordoñez, Rafael; Villada, Luis Miguel
2
2021
Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure. Zbl 1469.35141
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
2
2021
Convergence rates for the homogenization of the Poisson problem in randomly perforated domains. Zbl 1481.35034
Giunti, Arianna
1
2021
Vanishing viscosity for a \(2 \times 2\) system modeling congested vehicular traffic. Zbl 1481.35271
Coclite, Giuseppe Maria; De Nitti, Nicola; Garavello, Mauro; Marcellini, Francesca
1
2021
Rumor spreading dynamics with an online reservoir and its asymptotic stability. Zbl 1478.92186
Choi, Sun-Ho; Seo, Hyowon
1
2021
Relative entropy method for the relaxation limit of hydrodynamic models. Zbl 1455.35181
Carrillo, José Antonio; Peng, Yingping; Wróblewska-Kamińska, Aneta
12
2020
Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285
Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas
11
2020
Homogenization of Bingham flow in thin porous media. Zbl 1434.76017
Anguiano, María; Bunoiu, Renata
10
2020
Deep neural network approach to forward-inverse problems. Zbl 1442.35474
Jo, Hyeontae; Son, Hwijae; Hwang, Hyung Ju; Kim, Eun Heui
7
2020
Modelling pattern formation through differential repulsion. Zbl 1451.35227
Barré, Julien; Degond, Pierre; Peurichard, Diane; Zatorska, Ewelina
6
2020
Perturbation analysis of the effective conductivity of a periodic composite. Zbl 1451.74066
Luzzini, Paolo; Musolino, Paolo
6
2020
The selection problem for some first-order stationary mean-field games. Zbl 1455.35261
Gomes, Diogo A.; Mitake, Hiroyoshi; Terai, Kengo
6
2020
Micro- and macroscopic modeling of crowding and pushing in corridors. Zbl 1455.91175
Fischer, Michael; Jankowiak, Gaspard; Wolfram, Marie-Therese
5
2020
Kinetic modelling of multiple interactions in socio-economic systems. Zbl 1451.35103
Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
5
2020
A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity. Zbl 1446.65155
Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo
5
2020
Vanishing viscosity on a star-shaped graph under general transmission conditions at the node. Zbl 1446.35074
Coclite, Giuseppe Maria; Donadello, Carlotta
4
2020
A remark about the periodic homogenization of certain composite fibered media. Zbl 1441.35028
Murat, François; Sili, Ali
4
2020
Mean field models for large data-clustering problems. Zbl 1451.82045
Herty, Michael; Pareschi, Lorenzo; Visconti, Giuseppe
3
2020
New coupling conditions for isentropic flow on networks. Zbl 1455.35193
Holle, Yannick; Herty, Michael; Westdickenberg, Michael
3
2020
Efficient numerical methods for gas network modeling and simulation. Zbl 1457.76013
Qiu, Yue; Grundel, Sara; Stoll, Martin; Benner, Peter
3
2020
Special issue on mathematical models for collective dynamics. Zbl 07291680
2
2020
Swarms dynamics approach to behavioral economy: theoretical tools and price sequences. Zbl 1451.82063
Bellomo, Nicola; De Nigris, Sarah; Knopoff, Damián; Morini, Matteo; Terna, Pietro
2
2020
A BGK kinetic model with local velocity alignment forces. Zbl 1451.35100
Choi, Young-Pil; Yun, Seok-Bae
2
2020
Matrix valued inverse problems on graphs with application to mass-spring-damper systems. Zbl 1437.05136
Draper, Travis G.; Vasquez, Fernando Guevara; Tse, Justin Cheuk-Lum; Wallengren, Toren E.; Zheng, Kenneth
2
2020
Mathematical analysis of transmission properties of electromagnetic meta-materials. Zbl 1441.35029
Ohlberger, Mario; Schweizer, Ben; Urban, Maik; Verfürth, Barbara
2
2020
Nonlinear stability of stationary solutions to the Kuramoto-Sakaguchi equation with frustration. Zbl 1455.93143
Ha, Seung-Yeal; Park, Hansol; Zhang, Yinglong
1
2020
Bounded confidence dynamics and graph control: enforcing consensus. Zbl 1455.91181
Li, GuanLin; Motsch, Sebastien; Weber, Dylan
1
2020
Synchronization of a Kuramoto-like model for power grids with frustration. Zbl 1455.93187
Zhao, Xiaoxue; Li, Zhuchun
1
2020
The band-gap structure of the spectrum in a periodic medium of masonry type. Zbl 1454.35130
Leugering, Günter; Nazarov, Sergei A.; Taskinen, Jari
1
2020
Simultaneous observability of infinitely many strings and beams. Zbl 1457.93024
Komornik, Vilmos; Lai, Anna Chiara; Loreti, Paola
1
2020
Convexity and starshapedness of feasible sets in stationary flow networks. Zbl 1441.90108
Gugat, Martin; Schultz, Rüdiger; Schuster, Michael
1
2020
Comparative study of macroscopic traffic flow models at road junctions. Zbl 1452.35098
Goatin, Paola; Rossi, Elena
1
2020
The general non-abelian Kuramoto model on the 3-sphere. Zbl 1441.34050
Jaćimović, Vladimir; Crnkić, Aladin
1
2020
The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles. Zbl 1436.65112
Towers, John D.
1
2020
Non-local multi-class traffic flow models. Zbl 1426.35153
Chiarello, Felisia Angela; Goatin, Paola
21
2019
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations. Zbl 1423.35177
Almeida, Luis; Bubba, Federica; Perthame, Benoît; Pouchol, Camille
18
2019
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays. Zbl 1435.34081
Choi, Young-Pil; Pignotti, Cristina
17
2019
The Cardiac bidomain model and homogenization. Zbl 1423.35200
Grandelius, Erik; Karlsen, Kenneth H.
10
2019
Traveling waves for conservation laws with nonlocal flux for traffic flow on rough roads. Zbl 1437.65111
Shen, Wen
9
2019
Steady distribution of the incremental model for bacteria proliferation. Zbl 1428.35623
Gabriel, Pierre; Martin, Hugo
7
2019
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. Zbl 1423.76045
Anguiano, María; Suárez-Grau, Francisco Javier
7
2019
Asymptotic structure of the spectrum in a Dirichlet-strip with double periodic perforations. Zbl 1435.35267
Nazarov, Sergei A.; Orive-Illera, Rafael; Pérez-Martínez, María-Eugenia
7
2019
A class of infinite horizon mean field games on networks. Zbl 1423.35372
Achdou, Yves; Dao, Manh-Khang; Ley, Olivier; Tchou, Nicoletta
6
2019
Opinion formation in voting processes under bounded confidence. Zbl 1423.90035
Pilyugin, Sergei Yu.; Campi, M. C.
6
2019
Wave propagation in fractal trees. Mathematical and numerical issues. Zbl 1427.35018
Joly, Patrick; Kachanovska, Maryna; Semin, Adrien
4
2019
A local sensitivity analysis for the kinetic Kuramoto equation with random inputs. Zbl 1428.35593
Ha, Seung-Yeal; Jin, Shi; Jung, Jinwook
4
2019
Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing. Zbl 1436.60065
Mohammed, Mogtaba; Sango, Mamadou
4
2019
Local weak solvability of a moving boundary problem describing swelling along a halfline. Zbl 1423.35467
Kumazaki, Kota; Muntean, Adrian
4
2019
On the local and global existence of solutions to 1d transport equations with nonlocal velocity. Zbl 1428.35320
Bae, Hantaek; Granero-Belinchón, Rafael; Lazar, Omar
4
2019
Well-balanced scheme for gas-flow in pipeline networks. Zbl 1435.35239
Mantri, Yogiraj; Herty, Michael; Noelle, Sebastian
4
2019
A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model. Zbl 1426.49021
Bakir, Toufik; Bonnard, Bernard; Rouot, Jérémy
3
2019
A model for a network of conveyor belts with discontinuous speed and capacity. Zbl 1423.90077
Festa, Adriano; Göttlich, Simone; Pfirsching, Marion
3
2019
Compressible and viscous two-phase flow in porous media based on mixture theory formulation. Zbl 1426.65129
Qiao, Yangyang; Wen, Huanyao; Evje, Steinar
3
2019
A discrete districting plan. Zbl 1433.91112
Saracco, Alberto; Saracco, Giorgio
3
2019
A network model of immigration: enclave formation vs. cultural integration. Zbl 1423.90039
Chuang, Yao-Li; Chou, Tom; D’Orsogna, Maria R.
2
2019
Derivation of second order traffic flow models with time delays. Zbl 1426.35150
Burger, Michael; Göttlich, Simone; Jung, Thomas
2
2019
Homogenization and exact controllability for problems with imperfect interface. Zbl 1426.35022
Monsurrò, Sara; Perugia, Carmen
2
2019
Optimal reinforcing networks for elastic membranes. Zbl 1426.49012
Alberti, Giovanni; Buttazzo, Giuseppe; Bianco, Serena Guarino Lo; Oudet, Édouard
2
2019
Controlled cellular automata. Zbl 1425.93096
Beros, Achilles; Chyba, Monique; Markovichenko, Oleksandr
1
2019
Stability of metabolic networks via linear-in-flux-expressions. Zbl 1425.92089
Merrill, Nathaniel J.; An, Zheming; McQuade, Sean T.; Garin, Federica; Azer, Karim; Abrams, Ruth E.; Piccoli, Benedetto
1
2019
On the role of tumor heterogeneity for optimal cancer chemotherapy. Zbl 1425.92113
Ledzewicz, Urszula; Schättler, Heinz; Wang, Shuo
1
2019
Saddle solutions for a class of systems of periodic and reversible semilinear elliptic equations. Zbl 1427.35081
Alessio, Francesca; Montecchiari, Piero; Sfecci, Andrea
1
2019
A Godunov type scheme for a class of LWR traffic flow models with non-local flux. Zbl 1468.65123
Friedrich, Jan; Kolb, Oliver; Göttlich, Simone
28
2018
Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication. Zbl 1459.82253
Choi, Young-Pil; Ha, Seung-Yeal; Kim, Jeongho
15
2018
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122
Holden, Helge; Risebro, Nils Henrik
14
2018
Uniform stability and mean-field limit for the augmented Kuramoto model. Zbl 1405.70007
Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao
14
2018
Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the microscopic bulk-layer interface. Zbl 1418.35026
Gahn, Markus; Neuss-Radu, Maria; Knabner, Peter
13
2018
Functional model for extensions of symmetric operators and applications to scattering theory. Zbl 07006654
Cherednichenko, Kirill D.; Kiselev, Alexander V.; Silva, Luis O.
9
2018
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Cited by 4,146 Authors

59 Ha, Seung-Yeal
55 Herty, Michael Matthias
44 Göttlich, Simone
44 Piccoli, Benedetto
36 Coclite, Giuseppe Maria
33 Gugat, Martin
32 Xu, Gen-Qi
31 Braides, Andrea
31 Du, Yihong
29 Goatin, Paola
27 Wang, Mingxin
25 Bendahmane, Mostafa
25 Gomes, Diogo Luís Aguiar
23 Carrillo de la Plata, José Antonio
23 Di Ruvo, Lorenzo
22 Andreianov, Boris
21 Cicalese, Marco
21 Rosini, Massimiliano Daniele
21 Tosin, Andrea
20 Garavello, Mauro
20 Keimer, Alexander
19 Leugering, Günter
18 Bellomo, Nicola
17 D’Apice, Ciro
17 Kim, Dohyun
16 Choi, Young-Pil
16 Colombo, Rinaldo M.
16 Nicaise, Serge
16 Stefanelli, Ulisse
16 Surulescu, Christina
15 Camilli, Fabio
15 Lou, Bendong
15 Mugnolo, Delio
15 Muntean, Adrian
15 Ruiz-Baier, Ricardo
14 Kolb, Oliver
14 Pareschi, Lorenzo
14 Pflug, Lukas
14 Santambrogio, Filippo
14 Winkler, Michael
13 Coron, Jean-Michel
13 Han, Zhongjie
13 Klar, Axel
13 Li, Wan-Tong
13 Nazarov, Sergeĭ Aleksandrovich
13 Schweizer, Ben
12 Achdou, Yves
12 Bertozzi, Andrea Louise
12 Burger, Martin
12 Bürger, Raimund
12 Cannarsa, Piermarco
12 Chaplain, Mark A. J.
12 Degond, Pierre
12 Di Francesco, Marco
12 Panasenko, Grigory P.
12 Piatnitski, Andrey L.
12 Porretta, Alessio
12 Preziosi, Luigi
12 Prieur, Christophe
12 Shim, Woojoo
12 Tao, Youshan
12 Trucu, Dumitru
12 Wu, Changhong
12 Zanella, Mattia
11 Borsche, Raul
11 Cancès, Clément
11 Cardaliaguet, Pierre
11 Chiarello, Felisia Angela
11 Friedrich, Manuel
11 Marcellini, Francesca
11 Punzo, Fabio
11 Risebro, Nils Henrik
11 Stavre, Ruxandra
11 Sun, Ningkui
11 Towers, John D.
11 Zhou, Maolin
11 Zuazua, Enrique
10 Albi, Giacomo
10 Beauchard, Karine
10 Bressan, Alberto
10 Corli, Andrea
10 DeSimone, Antonio
10 Gloria, Antoine
10 Huang, Zhongyi
10 Karlsen, Kenneth Hvistendahl
10 Kim, Jeongho
10 Knopoff, Damian A.
10 Manzo, Rosanna
10 Mel’nyk, Taras A.
10 Ohlberger, Mario
10 Panov, Evgeniy Yu.
10 Perthame, Benoît
10 Roquejoffre, Jean-Michel
10 Ryzhik, Lenya
10 Shangerganesh, Lingeshwaran
10 Shen, Wen
10 Toscani, Giuseppe
10 Wang, Zhi Cheng
10 Wang, Zhi Cheng
10 Wolfram, Marie-Therese
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Cited in 415 Journals

135 Networks and Heterogeneous Media
123 Journal of Differential Equations
117 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
84 Journal of Mathematical Analysis and Applications
78 SIAM Journal on Mathematical Analysis
70 Discrete and Continuous Dynamical Systems. Series B
68 Archive for Rational Mechanics and Analysis
60 Calculus of Variations and Partial Differential Equations
58 Discrete and Continuous Dynamical Systems
50 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
50 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
48 SIAM Journal on Control and Optimization
42 Nonlinear Analysis. Real World Applications
41 Journal of Computational Physics
41 Automatica
39 ZAMP. Zeitschrift für angewandte Mathematik und Physik
38 Mathematical Methods in the Applied Sciences
38 Journal de Mathématiques Pures et Appliquées. Neuvième Série
38 SIAM Journal on Applied Mathematics
37 Journal of Mathematical Biology
35 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
33 Computers & Mathematics with Applications
31 Nonlinearity
31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
31 Discrete and Continuous Dynamical Systems. Series S
30 Multiscale Modeling & Simulation
30 Kinetic and Related Models
29 Applied Mathematics and Optimization
28 Applicable Analysis
28 Journal of Statistical Physics
28 Physica D
28 NoDEA. Nonlinear Differential Equations and Applications
27 Acta Applicandae Mathematicae
25 Applied Mathematics and Computation
25 Journal of Scientific Computing
24 Communications in Partial Differential Equations
24 Journal of Dynamics and Differential Equations
23 Physica A
23 Journal of Hyperbolic Differential Equations
22 Numerische Mathematik
22 Mathematical Control and Related Fields
22 Journal of Theoretical Biology
20 Journal of Computational and Applied Mathematics
19 International Journal of Control
19 Journal of Evolution Equations
19 Dynamic Games and Applications
18 Computer Methods in Applied Mechanics and Engineering
18 Systems & Control Letters
18 Journal of Nonlinear Science
18 Journal of Mathematical Sciences (New York)
18 Communications on Pure and Applied Analysis
17 Journal of Mathematical Physics
17 Bulletin of Mathematical Biology
17 SIAM Journal on Numerical Analysis
17 Mathematical Biosciences and Engineering
16 Applied Numerical Mathematics
16 Applied Mathematical Modelling
15 Journal of Functional Analysis
15 Journal of Optimization Theory and Applications
15 European Journal of Applied Mathematics
15 SIAM Journal on Scientific Computing
14 Applied Mathematics Letters
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 SIAM Journal on Applied Dynamical Systems
14 Mathematical Modelling of Natural Phenomena
14 SN Partial Differential Equations and Applications
13 Asymptotic Analysis
13 Evolution Equations and Control Theory
12 Quarterly of Applied Mathematics
12 Numerical Methods for Partial Differential Equations
12 Interfaces and Free Boundaries
12 Communications in Nonlinear Science and Numerical Simulation
12 Journal of Dynamics and Games
11 Mathematics of Computation
11 Vietnam Journal of Mathematics
10 Communications in Mathematical Physics
10 Journal of the Franklin Institute
10 Advances in Mathematics
10 Continuum Mechanics and Thermodynamics
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 Computational Geosciences
9 Minimax Theory and its Applications
8 Computers and Fluids
8 MCSS. Mathematics of Control, Signals, and Systems
8 Applications of Mathematics
8 Stochastic Processes and their Applications
8 Bulletin of the Brazilian Mathematical Society. New Series
8 Mediterranean Journal of Mathematics
8 Boundary Value Problems
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Mathematics and Computers in Simulation
7 Semigroup Forum
7 Transactions of the American Mathematical Society
7 The Annals of Applied Probability
7 Journal of Dynamical and Control Systems
7 Annales Henri Poincaré
7 The European Physical Journal B. Condensed Matter and Complex Systems
7 Journal of Physics A: Mathematical and Theoretical
7 Analysis & PDE
7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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Cited in 50 Fields

2,211 Partial differential equations (35-XX)
695 Biology and other natural sciences (92-XX)
542 Numerical analysis (65-XX)
487 Fluid mechanics (76-XX)
411 Systems theory; control (93-XX)
404 Calculus of variations and optimal control; optimization (49-XX)
376 Operations research, mathematical programming (90-XX)
320 Mechanics of deformable solids (74-XX)
319 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
249 Statistical mechanics, structure of matter (82-XX)
188 Ordinary differential equations (34-XX)
174 Probability theory and stochastic processes (60-XX)
104 Operator theory (47-XX)
89 Dynamical systems and ergodic theory (37-XX)
79 Computer science (68-XX)
73 Combinatorics (05-XX)
71 Integral equations (45-XX)
59 Mechanics of particles and systems (70-XX)
46 Differential geometry (53-XX)
39 Classical thermodynamics, heat transfer (80-XX)
38 Optics, electromagnetic theory (78-XX)
32 Quantum theory (81-XX)
26 Statistics (62-XX)
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18 Information and communication theory, circuits (94-XX)
17 Measure and integration (28-XX)
10 General and overarching topics; collections (00-XX)
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