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Bertozzi, Andrea Louise

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Author ID: bertozzi.andrea-louise Recent zbMATH articles by "Bertozzi, Andrea Louise"
Published as: Bertozzi, Andrea L.; Bertozzi, A. L.; Bertozzi, Andrea; Bertozzi, Andrea Louise; Bertozzi, Andrea Louis; Bertozzi, A.
Homepage: http://www.math.ucla.edu/~bertozzi/
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all top 5

Co-Authors

7 single-authored
8 Brantingham, P. Jeffrey
8 Laurent, Thomas
7 Osher, Stanley Joel
7 Short, Martin B.
6 Merkurjev, Ekaterina
6 Wang, Li
5 Greer, John B.
5 Kolokolnikov, Theodore
5 Lou, Yifei
5 Parkinson, Christian
5 Shearer, Michael
5 von Brecht, James H.
4 Münch, Andreas
4 Porter, Mason Alexander
4 Pugh, Mary C.
4 Sun, Hui
4 Uminsky, David T.
4 Witelski, Thomas P.
3 Arnold, David John
3 Bernoff, Andrew J.
3 Brenner, Michael P.
3 D’Orsogna, Maria R.
3 Flenner, Arjuna
3 Huang, Yanghong
3 Ji, Hangjie
3 Ju, Y. Sungtaek
3 Lindstrom, Michael R.
3 Mavromoustaki, A.
3 Sadeghpour, Abolfazl
3 Soatto, Stefano
3 Stokes, Yvonne Marie
3 Tita, George E.
3 Van Gennip, Yves
3 Wang, Chuntian
3 Yuan, Baichuan
2 Bae, Egil
2 Bowen, Mark
2 Boyd, Zachary M.
2 Chayes, Lincoln
2 Chuang, Yao-Li
2 Dobrosotskaya, Julia A.
2 Esedoglu, Selim
2 Falcon, Claudia
2 Garnett, John Brady
2 Gillette, Alan
2 Harding, Brendan
2 Hosoi, A. E.
2 Hunter, Blake
2 Kostić, Tijana
2 Lu, Hsiang-Wei
2 Luo, Xiyang
2 Mata, Matthew R.
2 Peng, Kaiyan
2 Rodriguez, Nancy Y.
2 Rosado, Jesús
2 Schoenberg, Frederic Paik
2 Stuart, Andrew M.
2 Tai, Xuecheng
2 Topaz, Chad M.
2 Valasik, Matthew
2 Wang, Bao
2 Ward, Thomas III
2 Weiss, Paul S.
2 Wong, Jeffrey T.
2 Yin, Penghang
2 Zipkin, Joseph R.
2 Zosso, Dominique
1 Ahn, Raymond
1 Almgren, Robert F.
1 An, Jing
1 Ashby, Paul D.
1 Azencot, Omri
1 Bedrossian, Jacob
1 Behringer, Robert P.
1 Berman, Spring
1 Birnir, Bjorn
1 Brandman, Jeremy
1 Buckingham, Robert J.
1 Burger, Martin
1 Cao, Huanhuan
1 Carrillo de la Plata, José Antonio
1 Chanussot, Jocelyn
1 Chayes, L. B.
1 Chen, Alex W. J.
1 Chen, Bohan
1 Chow, Yat Tin
1 Chung, Fan
1 Constantin, Peter
1 Cook, Benjamin P.
1 Coronges, Kathryn
1 Craig, Katy
1 Dragomiretskiy, Konstantin
1 Droske, Marc
1 Drumetz, Lucas
1 Dupont, Todd F.
1 Elamvazhuthi, Karthik
1 Elliott, Peter D. T. A.
1 Fox, Eric Warren
1 Franco, Elisa
1 Gao, Wenhua
...and 88 more Co-Authors
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Serials

12 SIAM Journal on Applied Mathematics
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Journal of Fluid Mechanics
7 Physics of Fluids
6 Physica D
6 Communications in Mathematical Sciences
5 Journal of Statistical Physics
5 Nonlinearity
5 SIAM Journal on Mathematical Analysis
5 Discrete and Continuous Dynamical Systems. Series B
5 SIAM Journal on Imaging Sciences
4 Communications on Pure and Applied Mathematics
4 European Journal of Applied Mathematics
4 Journal of Mathematical Imaging and Vision
3 Communications in Mathematical Physics
3 Discrete and Continuous Dynamical Systems
3 SIAM Journal on Applied Dynamical Systems
3 Inverse Problems and Imaging
2 Inverse Problems
2 Journal of Computational Physics
2 Journal of Engineering Mathematics
2 Chinese Annals of Mathematics. Series B
2 Applied Mathematics Letters
2 Journal of Scientific Computing
2 SIAM Review
2 IEEE Transactions on Image Processing
2 Multiscale Modeling & Simulation
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Physics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Annals of the Institute of Statistical Mathematics
1 IEEE Transactions on Automatic Control
1 Indiana University Mathematics Journal
1 SIAM Journal on Numerical Analysis
1 Proceedings of the National Academy of Sciences of the United States of America
1 Notices of the American Mathematical Society
1 Journal of Nonlinear Science
1 Advances in Differential Equations
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Interfaces and Free Boundaries
1 Communications on Pure and Applied Analysis
1 AMRX. Applied Mathematics Research eXpress
1 Milan Journal of Mathematics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Research in the Mathematical Sciences
1 Cambridge Texts in Applied Mathematics
1 SIAM Journal on Mathematics of Data Science

Publications by Year

Citations contained in zbMATH Open

131 Publications have been cited 3,681 times in 2,283 Documents Cited by Year
Vorticity and incompressible flow. Zbl 0983.76001
Majda, Andrew J.; Bertozzi, Andrea L.
657
2002
Swarming patterns in a two-dimensional kinematic model for biological groups. Zbl 1071.92048
Topaz, Chad M.; Bertozzi, Andrea L.
183
2004
A nonlocal continuum model for biological aggregation. Zbl 1334.92468
Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A.
178
2006
The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions. Zbl 0863.76017
Bertozzi, A. L.; Pugh, M.
115
1996
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas
106
2009
Inpainting of binary images using the Cahn-Hilliard equation. Zbl 1279.94008
Bertozzi, Andrea L.; Esedoḡlu, Selim; Gillette, Alan
99
2007
A statistical model of criminal behavior. Zbl 1180.35530
Short, M. B.; D’Orsogna, M. R.; Pasour, V. B.; Tita, G. E.; Brantingham, P. J.; Bertozzi, A. L.; Chayes, L. B.
87
2008
State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103
Chuang, Yao-Li; D’Orsogna, Maria R.; Marthaler, Daniel; Bertozzi, Andrea L.; Chayes, Lincoln S.
87
2007
Global regularity for vortex patches. Zbl 0771.76014
Bertozzi, A. L.; Constantin, P.
83
1993
Linear stability and transient growth in driven contact lines. Zbl 1185.76627
Bertozzi, Andrea L.; Brenner, Michael P.
75
1997
\(L^p\) theory for the multidimensional aggregation equation. Zbl 1218.35075
Bertozzi, Andrea L.; Laurent, Thomas; Rosado, Jesús
70
2011
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
69
2010
Long-wave instabilities and saturation in thin film equations. Zbl 0916.35008
Bertozzi, A. L.; Pugh, M. C.
67
1998
Local and global well-posedness for aggregation equations and Patlak-Keller-Segel models with degenerate diffusion. Zbl 1222.49038
Bedrossian, Jacob; Rodríguez, Nancy; Bertozzi, Andrea L.
63
2011
The mathematics of moving contact lines in thin liquid films. Zbl 0917.35100
Bertozzi, Andrea L.
60
1998
Positivity-preserving numerical schemes for lubrication-type equations. Zbl 0961.76060
Zhornitskaya, L.; Bertozzi, A. L.
59
2000
Fourth order partial differential equations on general geometries. Zbl 1097.65087
Greer, John B.; Bertozzi, Andrea L.; Sapiro, Guillermo
54
2006
Aggregation and spreading via the Newtonian potential: the dynamics of patch solutions. Zbl 1241.35153
Bertozzi, Andrea L.; Laurent, Thomas; Léger, Flavien
48
2012
Finite-time blow-up of solutions of some long-wave unstable thin film equations. Zbl 0978.35007
Bertozzi, A. L.; Pugh, M. C.
47
2000
Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\). Zbl 1132.35392
Bertozzi, Andrea L.; Laurent, Thomas
47
2007
Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff. Zbl 0951.74007
Bernoff, Andrew J.; Bertozzi, Andrea L.; Witelski, Thomas P.
44
1998
Singularities and similarities in interface flows. Zbl 0808.76022
Bertozzi, Andrea L.; Brenner, Michael P.; Dupont, Todd F.; Kadanoff, Leo P.
44
1994
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
44
2010
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215
Bertozzi, Andrea L.; Flenner, Arjuna
42
2012
Predicting pattern formation in particle interactions. Zbl 1252.35056
von Brecht, James H.; Uminsky, David; Kolokolnikov, Theodore; Bertozzi, Andrea L.
41
2012
Undercompressive shocks in thin film flows. Zbl 1076.76509
Bertozzi, A. L.; Münch, A.; Shearer, M.
40
1999
Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309
Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan
39
2007
The lubrication approximation for thin viscous films: The moving contact line wih a “porous media” cut-off of van der Waals interactions. Zbl 0811.35045
Bertozzi, A. L.; Pugh, M.
38
1994
Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion. Zbl 1213.35266
Bertozzi, Andrea L.; Slepčev, Dejan
37
2010
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
35
2011
Symmetric singularity formation in lubrication-type equations for interface motion. Zbl 0856.35002
Bertozzi, Andrea L.
33
1996
Dewetting films: Bifurcations and concentrations. Zbl 1006.35049
Bertozzi, A. L.; Grün, G.; Witelski, T. P.
33
2001
Self-similar blowup solutions to an aggregation equation in \(R^n\). Zbl 1238.35013
Huang, Yanghong; Bertozzi, Andrea L.
33
2010
Traveling wave solutions of fourth order PDEs for image processing. Zbl 1082.35080
Greer, J. B.; Bertozzi, A. L.
32
2004
Mean curvature, threshold dynamics, and phase field theory on finite graphs. Zbl 1325.35245
van Gennip, Yves; Guillen, Nestor; Osting, Braxton; Bertozzi, Andrea L.
31
2014
An MBO scheme on graphs for classification and image processing. Zbl 1279.68335
Merkurjev, Ekaterina; Kostić, Tijana; Bertozzi, Andrea L.
31
2013
Ring patterns and their bifurcations in a nonlocal model of biological swarms. Zbl 1331.35044
Bertozzi, Andrea L.; Kolokolnikov, Theodore; Sun, Hui; Uminsky, David; von Brecht, James
31
2015
Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
30
2010
Local existence and uniqueness of solutions to a PDE model for criminal behavior. Zbl 1200.35308
Rodriguez, Nancy; Bertozzi, Andrea
28
2010
A blob method for the aggregation equation. Zbl 1339.35235
Craig, Katy; Bertozzi, Andrea L.
27
2016
\(\Gamma\)-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200
van Gennip, Yves; Bertozzi, Andrea L.
24
2012
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations. Zbl 1248.35023
Bertozzi, Andrea L.; Garnett, John B.; Laurent, Thomas
24
2012
Heteroclinic orbits and chaotic dynamics in planar fluid flows. Zbl 0656.76025
Bertozzi, Andrea Louis
24
1988
Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083
Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C.
23
2018
Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition. Zbl 0899.76190
Bernoff, Andrew J.; Bertozzi, Andrea L.
23
1995
Low-curvature image simplifiers: global regularity of smooth solutions and Laplacian limiting schemes. Zbl 1058.35083
Bertozzi, Andrea L.; Greer, John B.
23
2004
Cops on the dots in a mathematical model of urban crime and police response. Zbl 1304.35702
Zipkin, Joseph R.; Short, Martin B.; Bertozzi, Andrea L.
21
2014
Existence of undercompressive traveling waves in thin film equations. Zbl 0959.35122
Bertozzi, A. L.; Shearer, M.
20
2000
Blowup and dissipation in a critical-case unstable thin film equation. Zbl 1062.76005
Witelski, T. P.; Bernoff, A. J.; Bertozzi, A. L.
18
2004
Stability of compressive and undercompressive thin film travelling waves. Zbl 1028.76012
Bertozzi, Andrea L.; Münch, Andreas; Shearer, Michael; Zumbrun, Kevin
18
2001
Diffuse interface methods for multiclass segmentation of high-dimensional data. Zbl 1329.68222
Merkurjev, Ekaterina; Garcia-Cardona, Cristina; Bertozzi, Andrea L.; Flenner, Arjuna; Percus, Allon G.
18
2014
Thin film traveling waves and the Navier slip condition. Zbl 1024.35038
Buckingham, Robert; Shearer, Michael; Bertozzi, Andrea
17
2003
Shock solutions for particle-laden thin films. Zbl 1138.76019
Cook, Benjamin P.; Bertozzi, Andrea L.; Hosoi, A. E.
17
2008
Efficient numerical methods for multiscale crowd dynamics with emotional contagion. Zbl 1359.35197
Wang, Li; Short, Martin B.; Bertozzi, Andrea L.
17
2017
Contagion shocks in one dimension. Zbl 1318.35135
Bertozzi, Andrea L.; Rosado, Jesus; Short, Martin B.; Wang, Li
17
2015
Stable and unstable singularities in the unforced Hele-Shaw cell. Zbl 1087.76028
Almgren, Robert; Bertozzi, Andrea; Brenner, Michael P.
16
1996
A method based on total variation for network modularity optimization using the MBO scheme. Zbl 1284.62377
Hu, Huiyi; Laurent, Thomas; Porter, Mason A.; Bertozzi, Andrea L.
16
2013
Diffuse interface surface tension models in an expanding flow. Zbl 1272.35025
Bertozzi, Andrea; Kolokolnikov, Theodore; Liu, Wangyi
15
2012
\(H^ 1\) solutions of a class of fourth order nonlinear equations for image processing. Zbl 1159.68619
Greer, John B.; Bertozzi, Andrea L.
14
2004
A biharmonic-modified forward time stepping method for fourth order nonlinear diffusion equations. Zbl 1227.65071
Bertozzi, Andrea L.; Ju, Ning; Lu, Hsiang-Wei
14
2011
Stability and clustering of self-similar solutions of aggregation equations. Zbl 1278.35259
Sun, Hui; Uminsky, David; Bertozzi, Andrea L.
13
2012
Dynamics of particle settling and resuspension in viscous liquid films. Zbl 1284.76381
Murisic, N.; Pausader, B.; Peschka, D.; Bertozzi, A. L.
13
2013
A diffuse-interface model for electrowetting drops in a Hele-Shaw cell. Zbl 1141.76482
Lu, H.-W.; Glasner, K.; Bertozzi, A. L.; Kim, C.-J.
13
2007
Two-species particle aggregation and stability of co-dimension one solutions. Zbl 1304.35081
Mackey, Alan; Kolokolnikov, Theodore; Bertozzi, Andrea L.
11
2014
Blow-up dynamics for the aggregation equation with degenerate diffusion. Zbl 1286.35050
Yao, Yao; Bertozzi, Andrea L.
11
2013
Pattern formation stability and collapse in 2D driven particle systems. Zbl 1135.82319
D’Orsogna, M. R.; Chuang, Y.-li; Bertozzi, A. L.; Chayes, L. S.
11
2006
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1339.68287
Bertozzi, Andrea L.; Flenner, Arjuna
10
2016
Asymptotics of blowup solutions for the aggregation equation. Zbl 1298.35110
Huang, Yanghong; Bertozzi, Andrea
10
2012
Experimental study of gravitation effects in the flow of a particle-laden thin film on an inclined plane. Zbl 1183.76564
Ward, Thomas III; Wey, Chi; Glidden, Robert; Hosoi, A. E.; Bertozzi, A. L.
10
2009
Swarming on random graphs. Zbl 1269.82047
von Brecht, James; Kolokolnikov, Theodore; Bertozzi, Andrea L.; Sun, Hui
10
2013
Shock solutions for high concentration particle-laden thin films. Zbl 1308.35140
Wang, Li; Bertozzi, Andrea L.
9
2014
Convergence of the graph Allen-Cahn scheme. Zbl 1375.82023
Luo, Xiyang; Bertozzi, Andrea L.
9
2017
Nonlinear dynamics and transient growth of driven contact lines. Zbl 1149.76438
Kondic, L.; Bertozzi, A. L.
8
1999
The behavior of solutions of multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1188.35141
Bertozzi, Andrea L.; Laurent, Thomas
8
2009
Global binary optimization on graphs for classification of high-dimensional data. Zbl 1333.90111
Merkurjev, Ekaterina; Bae, Egil; Bertozzi, Andrea L.; Tai, Xue-Cheng
8
2015
Hyperbolic systems of conservation laws in gravity-driven, particle-laden thin-film flows. Zbl 1359.76036
Mavromoustaki, A.; Bertozzi, A. L.
8
2014
Crime modeling with truncated Lévy flights for residential burglary models. Zbl 1411.35295
Pan, Chaohao; Li, Bo; Wang, Chuntian; Zhang, Yuqi; Geldner, Nathan; Wang, Li; Bertozzi, Andrea L.
7
2018
A generalized Birkhoff-Rott equation for two-dimensional active scalar problems. Zbl 1316.76014
Sun, Hui; Uminsky, David; Bertozzi, Andrea L.
6
2012
A numerical scheme for particle-laden thin film flow in two dimensions. Zbl 1419.76482
Mata, Matthew R.; Bertozzi, Andrea L.
6
2011
Rarefaction-undercompressive fronts in driven films. Zbl 1149.76488
Münch, A.; Bertozzi, A. L.
6
1999
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
6
2016
Nonlinear dynamics of two-dimensional undercompressive shocks. Zbl 1079.76012
Bowen, Mark; Sur, Jeanman; Bertozzi, Andrea L.; Behringer, Robert P.
5
2005
Loss and gain of regularity in a lubrication equation for thin viscous films. Zbl 0840.35080
Bertozzi, A. L.
5
1995
Thin film dynamics: theory and applications. Zbl 1198.76001
Bertozzi, Andrea L.; Bowen, Mark
5
2002
Multidimensional residues, generating functions, and their application to queueing networks. Zbl 0781.90040
Bertozzi, Andrea; McKenna, James
5
1993
Self-similarity in particle-laden flows at constant volume. Zbl 1189.76673
Grunewald, Natalie; Levy, Rachel; Mata, Matthew; Ward, Thomas III; Bertozzi, Andrea L.
5
2010
A variational approach for sharpening high dimensional images. Zbl 1258.94018
Möller, Michael; Wittman, Todd; Bertozzi, Andrea L.; Burger, Martin
5
2012
Wavelet analogue of the Ginzburg-Landau energy and its \(\Gamma \)-convergence. Zbl 1213.35197
Dobrosotskaya, Julia A.; Bertozzi, Andrea L.
5
2010
Non-local crime density estimation incorporating housing information. Zbl 1353.62137
Woodworth, J. T.; Mohler, G. O.; Bertozzi, A. L.; Brantingham, P. J.
5
2014
Behavior of a particle-laden flow in a spiral channel. Zbl 1321.76071
Lee, Sungyon; Stokes, Yvonne; Bertozzi, Andrea L.
5
2014
Image segmentation with dynamic artifacts detection and bias correction. Zbl 1407.68524
Zosso, Dominique; An, Jing; Stevick, James; Takaki, Nicholas; Weiss, Morgan; Slaughter, Liane S.; Cao, Huan H.; Weiss, Paul S.; Bertozzi, Andrea L.
5
2017
Video stabilization of atmospheric turbulence distortion. Zbl 1272.68436
Lou, Yifei; Kang, Sung Ha; Soatto, Stefano; Bertozzi, Andrea L.
4
2013
Direct sparse deblurring. Zbl 1255.94022
Lou, Yifei; Bertozzi, Andrea L.; Soatto, Stefano
4
2011
Dynamics of thin liquid films on vertical cylindrical fibres. Zbl 1415.76150
Ji, H.; Falcon, C.; Sadeghpour, A.; Zeng, Z.; Ju, Y. S.; Bertozzi, A. L.
4
2019
A linear systems approach to imaging through turbulence. Zbl 1291.68400
Micheli, Mario; Lou, Yifei; Soatto, Stefano; Bertozzi, Andrea L.
4
2014
Consistent dynamic mode decomposition. Zbl 1428.37098
Azencot, Omri; Yin, Wotao; Bertozzi, Andrea
4
2019
Optimal human navigation in steep terrain: a Hamilton-Jacobi-Bellman approach. Zbl 1417.49033
Parkinson, Christian; Arnold, David; Bertozzi, Andrea L.; Chow, Yat Tin; Osher, Stanley
3
2019
Effect of inertial lift on a spherical particle suspended in flow through a curved duct. Zbl 1419.76129
Harding, Brendan; Stokes, Yvonne M.; Bertozzi, Andrea L.
3
2019
Modeling environmental crime in protected areas using the level set method. Zbl 1428.35086
Arnold, D. J.; Fernandez, D.; Jia, R.; Parkinson, C.; Tonne, D.; Yaniv, Y.; Bertozzi, A. L.; Osher, S. J.
3
2019
Performance bounds on spatial coverage tasks by stochastic robotic swarms. Zbl 1395.93409
Zhang, Fangbo; Bertozzi, Andrea L.; Elamvazhuthi, Karthik; Berman, Spring
3
2018
Adversarial defense via the data-dependent activation, total variation minimization, and adversarial training. Zbl 07354120
Wang, Bao; Lin, Alex; Yin, Penghang; Zhu, Wei; Bertozzi, Andrea L.; Osher, Stanley J.
2
2021
A model for optimal human navigation with stochastic effects. Zbl 1446.49023
Parkinson, Christian; Arnold, David; Bertozzi, Andrea; Osher, Stanley
1
2020
Modelling film flows down a fibre influenced by nozzle geometry. Zbl 1460.76047
Ji, H.; Sadeghpour, A.; Ju, Y. S.; Bertozzi, A. L.
1
2020
Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness. Zbl 1455.35262
Lindstrom, Michael R.; Bertozzi, Andrea L.
1
2020
Dynamics of thin liquid films on vertical cylindrical fibres. Zbl 1415.76150
Ji, H.; Falcon, C.; Sadeghpour, A.; Zeng, Z.; Ju, Y. S.; Bertozzi, A. L.
4
2019
Consistent dynamic mode decomposition. Zbl 1428.37098
Azencot, Omri; Yin, Wotao; Bertozzi, Andrea
4
2019
Optimal human navigation in steep terrain: a Hamilton-Jacobi-Bellman approach. Zbl 1417.49033
Parkinson, Christian; Arnold, David; Bertozzi, Andrea L.; Chow, Yat Tin; Osher, Stanley
3
2019
Effect of inertial lift on a spherical particle suspended in flow through a curved duct. Zbl 1419.76129
Harding, Brendan; Stokes, Yvonne M.; Bertozzi, Andrea L.
3
2019
Modeling environmental crime in protected areas using the level set method. Zbl 1428.35086
Arnold, D. J.; Fernandez, D.; Jia, R.; Parkinson, C.; Tonne, D.; Yaniv, Y.; Bertozzi, A. L.; Osher, S. J.
3
2019
A stochastic-statistical residential burglary model with finite size effects. Zbl 1452.91240
Wang, Chuntian; Zhang, Yuan; Bertozzi, Andrea L.; Short, Martin B.
3
2019
Fast equilibration dynamics of viscous particle-laden flow in an inclined channel. Zbl 1430.76473
Wong, Jeffrey; Lindstrom, Michael; Bertozzi, Andrea L.
2
2019
Hyperspectral image unmixing with endmember bundles and group sparsity inducing mixed norms. Zbl 07122915
Drumetz, Lucas; Meyer, Travis R.; Chanussot, Jocelyn; Bertozzi, Andrea L.; Jutten, Christian
1
2019
Multivariate spatiotemporal Hawkes processes and network reconstruction. Zbl 07468811
Yuan, Baichuan; Li, Hao; Bertozzi, Andrea L.; Brantingham, P. Jeffrey; Porter, Mason A.
1
2019
Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083
Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C.
23
2018
Crime modeling with truncated Lévy flights for residential burglary models. Zbl 1411.35295
Pan, Chaohao; Li, Bo; Wang, Chuntian; Zhang, Yuqi; Geldner, Nathan; Wang, Li; Bertozzi, Andrea L.
7
2018
Performance bounds on spatial coverage tasks by stochastic robotic swarms. Zbl 1395.93409
Zhang, Fangbo; Bertozzi, Andrea L.; Elamvazhuthi, Karthik; Berman, Spring
3
2018
Simplified energy landscape for modularity using total variation. Zbl 1398.65133
Boyd, Zachary M.; Bae, Egil; Tai, Xue-Cheng; Bertozzi, Andrea L.
3
2018
Surface tension effects for particle settling and resuspension in viscous thin films. Zbl 1392.76097
Mavromoustaki, A.; Wang, L.; Wong, J.; Bertozzi, A. L.
2
2018
A semi-supervised heat kernel pagerank MBO algorithm for data classification. Zbl 1407.62232
Merkurjev, Ekaterina; Bertozzi, Andrea L.; Chung, Fan
1
2018
Efficient numerical methods for multiscale crowd dynamics with emotional contagion. Zbl 1359.35197
Wang, Li; Short, Martin B.; Bertozzi, Andrea L.
17
2017
Convergence of the graph Allen-Cahn scheme. Zbl 1375.82023
Luo, Xiyang; Bertozzi, Andrea L.
9
2017
Image segmentation with dynamic artifacts detection and bias correction. Zbl 1407.68524
Zosso, Dominique; An, Jing; Stevick, James; Takaki, Nicholas; Weiss, Morgan; Slaughter, Liane S.; Cao, Huan H.; Weiss, Paul S.; Bertozzi, Andrea L.
5
2017
Modified Cheeger and ratio cut methods using the Ginzburg-Landau functional for classification of high-dimensional data. Zbl 1409.68239
Merkurjev, Ekaterina; Bertozzi, Andrea; Yan, Xiaoran; Lerman, Kristina
3
2017
Two-dimensional compact variational mode decomposition. Zbl 1387.94026
Zosso, Dominique; Dragomiretskiy, Konstantin; Bertozzi, Andrea L.; Weiss, Paul S.
1
2017
A blob method for the aggregation equation. Zbl 1339.35235
Craig, Katy; Bertozzi, Andrea L.
27
2016
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1339.68287
Bertozzi, Andrea L.; Flenner, Arjuna
10
2016
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
6
2016
Topic time series analysis of microblogs. Zbl 1406.62152
Lai, Eric L.; Moyer, Daniel; Yuan, Baichuan; Fox, Eric; Hunter, Blake; Bertozzi, Andrea L.; Brantingham, P. Jeffrey
3
2016
A conservation law model for bidensity suspensions on an incline. Zbl 1373.76332
Wong, Jeffrey T.; Bertozzi, Andrea L.
2
2016
Mathematical modelling of crime and security: special issue of EJAM. Zbl 1384.00059
1
2016
Point-process models of social network interactions: parameter estimation and missing data recovery. Zbl 1408.91180
Zipkin, Joseph R.; Schoenberg, Frederic P.; Coronges, Kathryn; Bertozzi, Andrea L.
1
2016
Ring patterns and their bifurcations in a nonlocal model of biological swarms. Zbl 1331.35044
Bertozzi, Andrea L.; Kolokolnikov, Theodore; Sun, Hui; Uminsky, David; von Brecht, James
31
2015
Contagion shocks in one dimension. Zbl 1318.35135
Bertozzi, Andrea L.; Rosado, Jesus; Short, Martin B.; Wang, Li
17
2015
Global binary optimization on graphs for classification of high-dimensional data. Zbl 1333.90111
Merkurjev, Ekaterina; Bae, Egil; Bertozzi, Andrea L.; Tai, Xue-Cheng
8
2015
Rarefaction-singular shock dynamics for conserved volume gravity driven particle-laden thin film. Zbl 1326.76009
Wang, L.; Mavromoustaki, A.; Bertozzi, A. L.; Urdaneta, G.; Huang, K.
3
2015
Swarming on random graphs. II. Zbl 1316.82020
von Brecht, James H.; Sudakov, Benny; Bertozzi, Andrea L.
2
2015
Mean curvature, threshold dynamics, and phase field theory on finite graphs. Zbl 1325.35245
van Gennip, Yves; Guillen, Nestor; Osting, Braxton; Bertozzi, Andrea L.
31
2014
Cops on the dots in a mathematical model of urban crime and police response. Zbl 1304.35702
Zipkin, Joseph R.; Short, Martin B.; Bertozzi, Andrea L.
21
2014
Diffuse interface methods for multiclass segmentation of high-dimensional data. Zbl 1329.68222
Merkurjev, Ekaterina; Garcia-Cardona, Cristina; Bertozzi, Andrea L.; Flenner, Arjuna; Percus, Allon G.
18
2014
Two-species particle aggregation and stability of co-dimension one solutions. Zbl 1304.35081
Mackey, Alan; Kolokolnikov, Theodore; Bertozzi, Andrea L.
11
2014
Shock solutions for high concentration particle-laden thin films. Zbl 1308.35140
Wang, Li; Bertozzi, Andrea L.
9
2014
Hyperbolic systems of conservation laws in gravity-driven, particle-laden thin-film flows. Zbl 1359.76036
Mavromoustaki, A.; Bertozzi, A. L.
8
2014
Non-local crime density estimation incorporating housing information. Zbl 1353.62137
Woodworth, J. T.; Mohler, G. O.; Bertozzi, A. L.; Brantingham, P. J.
5
2014
Behavior of a particle-laden flow in a spiral channel. Zbl 1321.76071
Lee, Sungyon; Stokes, Yvonne; Bertozzi, Andrea L.
5
2014
A linear systems approach to imaging through turbulence. Zbl 1291.68400
Micheli, Mario; Lou, Yifei; Soatto, Stefano; Bertozzi, Andrea L.
4
2014
An MBO scheme on graphs for classification and image processing. Zbl 1279.68335
Merkurjev, Ekaterina; Kostić, Tijana; Bertozzi, Andrea L.
31
2013
A method based on total variation for network modularity optimization using the MBO scheme. Zbl 1284.62377
Hu, Huiyi; Laurent, Thomas; Porter, Mason A.; Bertozzi, Andrea L.
16
2013
Dynamics of particle settling and resuspension in viscous liquid films. Zbl 1284.76381
Murisic, N.; Pausader, B.; Peschka, D.; Bertozzi, A. L.
13
2013
Blow-up dynamics for the aggregation equation with degenerate diffusion. Zbl 1286.35050
Yao, Yao; Bertozzi, Andrea L.
11
2013
Swarming on random graphs. Zbl 1269.82047
von Brecht, James; Kolokolnikov, Theodore; Bertozzi, Andrea L.; Sun, Hui
10
2013
Video stabilization of atmospheric turbulence distortion. Zbl 1272.68436
Lou, Yifei; Kang, Sung Ha; Soatto, Stefano; Bertozzi, Andrea L.
4
2013
Analysis of the wavelet Ginzburg-Landau energy in image applications with edges. Zbl 1280.42032
Dobrosotskaya, J. A.; Bertozzi, A. L.
3
2013
Well-posedness theory for aggregation sheets. Zbl 1307.58018
von Brecht, James H.; Bertozzi, Andrea L.
3
2013
Statistical density estimation using threshold dynamics for geometric motion. Zbl 1263.65010
Kostić, Tijana; Bertozzi, Andrea
2
2013
Community detection using spectral clustering on sparse geosocial data. Zbl 1348.62268
van Gennip, Yves; Hunter, Blake; Ahn, Raymond; Elliott, Peter; Luh, Kyle; Halvorson, Megan; Reid, Shannon; Valasik, Matthew; Wo, James; Tita, George E.; Bertozzi, Andrea L.; Brantingham, P. Jeffrey
2
2013
Enhancement and recovery in atomic force microscopy images. Zbl 1342.94016
Chen, Alex; Bertozzi, Andrea L.; Ashby, Paul D.; Getreuer, Pascal; Lou, Yifei
1
2013
Aggregation and spreading via the Newtonian potential: the dynamics of patch solutions. Zbl 1241.35153
Bertozzi, Andrea L.; Laurent, Thomas; Léger, Flavien
48
2012
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215
Bertozzi, Andrea L.; Flenner, Arjuna
42
2012
Predicting pattern formation in particle interactions. Zbl 1252.35056
von Brecht, James H.; Uminsky, David; Kolokolnikov, Theodore; Bertozzi, Andrea L.
41
2012
\(\Gamma\)-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200
van Gennip, Yves; Bertozzi, Andrea L.
24
2012
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations. Zbl 1248.35023
Bertozzi, Andrea L.; Garnett, John B.; Laurent, Thomas
24
2012
Diffuse interface surface tension models in an expanding flow. Zbl 1272.35025
Bertozzi, Andrea; Kolokolnikov, Theodore; Liu, Wangyi
15
2012
Stability and clustering of self-similar solutions of aggregation equations. Zbl 1278.35259
Sun, Hui; Uminsky, David; Bertozzi, Andrea L.
13
2012
Asymptotics of blowup solutions for the aggregation equation. Zbl 1298.35110
Huang, Yanghong; Bertozzi, Andrea
10
2012
A generalized Birkhoff-Rott equation for two-dimensional active scalar problems. Zbl 1316.76014
Sun, Hui; Uminsky, David; Bertozzi, Andrea L.
6
2012
A variational approach for sharpening high dimensional images. Zbl 1258.94018
Möller, Michael; Wittman, Todd; Bertozzi, Andrea L.; Burger, Martin
5
2012
Adaptation of an ecological territorial model to street gang spatial patterns in Los Angeles. Zbl 1242.91171
Smith, Laura M.; Bertozzi, Andrea L.; Brantingham, P. Jeffrey; Tita, George E.; Valasik, Matthew
3
2012
Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions. Zbl 1252.65210
Huang, Y.; Witelski, T. P.; Bertozzi, A. L.
3
2012
\(L^p\) theory for the multidimensional aggregation equation. Zbl 1218.35075
Bertozzi, Andrea L.; Laurent, Thomas; Rosado, Jesús
70
2011
Local and global well-posedness for aggregation equations and Patlak-Keller-Segel models with degenerate diffusion. Zbl 1222.49038
Bedrossian, Jacob; Rodríguez, Nancy; Bertozzi, Andrea L.
63
2011
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
35
2011
A biharmonic-modified forward time stepping method for fourth order nonlinear diffusion equations. Zbl 1227.65071
Bertozzi, Andrea L.; Ju, Ning; Lu, Hsiang-Wei
14
2011
A numerical scheme for particle-laden thin film flow in two dimensions. Zbl 1419.76482
Mata, Matthew R.; Bertozzi, Andrea L.
6
2011
Direct sparse deblurring. Zbl 1255.94022
Lou, Yifei; Bertozzi, Andrea L.; Soatto, Stefano
4
2011
Level set based multispectral segmentation with corners. Zbl 1223.35021
Gao, Wenhua; Bertozzi, Andrea
1
2011
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
69
2010
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
44
2010
Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion. Zbl 1213.35266
Bertozzi, Andrea L.; Slepčev, Dejan
37
2010
Self-similar blowup solutions to an aggregation equation in \(R^n\). Zbl 1238.35013
Huang, Yanghong; Bertozzi, Andrea L.
33
2010
Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
30
2010
Local existence and uniqueness of solutions to a PDE model for criminal behavior. Zbl 1200.35308
Rodriguez, Nancy; Bertozzi, Andrea
28
2010
Self-similarity in particle-laden flows at constant volume. Zbl 1189.76673
Grunewald, Natalie; Levy, Rachel; Mata, Matthew; Ward, Thomas III; Bertozzi, Andrea L.
5
2010
Wavelet analogue of the Ginzburg-Landau energy and its \(\Gamma \)-convergence. Zbl 1213.35197
Dobrosotskaya, Julia A.; Bertozzi, Andrea L.
5
2010
Higher-order feature-preserving geometric regularization. Zbl 1185.65066
Droske, Marc; Bertozzi, Andrea
3
2010
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas
106
2009
Experimental study of gravitation effects in the flow of a particle-laden thin film on an inclined plane. Zbl 1183.76564
Ward, Thomas III; Wey, Chi; Glidden, Robert; Hosoi, A. E.; Bertozzi, A. L.
10
2009
The behavior of solutions of multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1188.35141
Bertozzi, Andrea L.; Laurent, Thomas
8
2009
A statistical model of criminal behavior. Zbl 1180.35530
Short, M. B.; D’Orsogna, M. R.; Pasour, V. B.; Tita, G. E.; Brantingham, P. J.; Bertozzi, A. L.; Chayes, L. B.
87
2008
Shock solutions for particle-laden thin films. Zbl 1138.76019
Cook, Benjamin P.; Bertozzi, Andrea L.; Hosoi, A. E.
17
2008
Inpainting of binary images using the Cahn-Hilliard equation. Zbl 1279.94008
Bertozzi, Andrea L.; Esedoḡlu, Selim; Gillette, Alan
99
2007
State transitions and the continuum limit for a 2D interacting, self-propelled particle system. Zbl 1375.82103
Chuang, Yao-Li; D’Orsogna, Maria R.; Marthaler, Daniel; Bertozzi, Andrea L.; Chayes, Lincoln S.
87
2007
Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\). Zbl 1132.35392
Bertozzi, Andrea L.; Laurent, Thomas
47
2007
Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309
Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan
39
2007
A diffuse-interface model for electrowetting drops in a Hele-Shaw cell. Zbl 1141.76482
Lu, H.-W.; Glasner, K.; Bertozzi, A. L.; Kim, C.-J.
13
2007
A nonlocal continuum model for biological aggregation. Zbl 1334.92468
Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A.
178
2006
Fourth order partial differential equations on general geometries. Zbl 1097.65087
Greer, John B.; Bertozzi, Andrea L.; Sapiro, Guillermo
54
2006
Pattern formation stability and collapse in 2D driven particle systems. Zbl 1135.82319
D’Orsogna, M. R.; Chuang, Y.-li; Bertozzi, A. L.; Chayes, L. S.
11
2006
Shocks in the evolution of an eroding channel. Zbl 1116.35341
Welsh, Edward; Birnir, Björn; Bertozzi, Andrea
2
2006
Nonlinear dynamics of two-dimensional undercompressive shocks. Zbl 1079.76012
Bowen, Mark; Sur, Jeanman; Bertozzi, Andrea L.; Behringer, Robert P.
5
2005
Nonlinear regularizations of TV based PDEs for image processing. Zbl 1134.35315
Bertozzi, Andrea; Greer, John; Osher, Stanley; Vixie, Kevin
2
2005
...and 31 more Documents
all top 5

Cited by 2,941 Authors

74 Carrillo de la Plata, José Antonio
66 Bertozzi, Andrea Louise
52 Ha, Seung-Yeal
32 Chae, Dongho
28 Bellomo, Nicola
26 Wu, Jiahong
23 Degond, Pierre
18 Kim, Junseok
17 Cordoba, Diego
17 Witelski, Thomas P.
16 Choi, Young-Pil
16 Constantin, Peter
16 Fetecau, Razvan C.
15 Li, Yibao
15 Liu, Jianguo
14 Hou, Thomas Yizhao
14 Li, Dong
14 Rodrigo, José Luis
14 Taranets, Roman M.
13 Gancedo, Francisco
13 Vauchelet, Nicolas
13 Yamazaki, Kazuo
12 Nussenzveig Lopes, Helena Judith
12 Slepčev, Dejan
12 Yao, Yao
11 Jiu, Quansen
11 Kalliadasis, Serafim
11 Kiselev, Alexander A.
11 Kondic, Lou
11 Lopes Filho, Milton da Costa
11 Masmoudi, Nader
11 Münch, Andreas
11 Schönlieb, Carola-Bibiane
11 Zhang, Xiongtao
10 Brezzi, Franco
10 Burger, Martin
10 Du, Qiang
10 Fontelos López, Marco Antonio
10 Garcke, Harald
10 Grasselli, Maurizio
10 Hmidi, Taoufik
10 Knüpfer, Hans
10 Ko, Dongnam
10 Laurent, Thomas
10 Mateu, Joan
10 Soler, Juan S.
10 Titi, Edriss Saleh
10 Vicol, Vlad C.
9 Castro, Ángel
9 Eftimie, Raluca
9 Elgindi, Tarek Mohamed
9 Gnann, Manuel V.
9 Granero Belinchón, Rafael
9 Grün, Günther
9 Huang, Yanghong
9 Kim, Jeongho
9 King, John Robert
9 Miranville, Alain M.
9 Momoniat, Ebrahim
9 Motsch, Sébastien
9 Park, Hansol
9 Patacchini, Francesco Saverio
9 Tai, Xuecheng
9 Tan, Zhong
9 Xu, Xiaojing
9 Zhang, Zhifei
8 Barrett, John W.
8 Bernoff, Andrew J.
8 Giacomelli, Lorenzo
8 Kolokolnikov, Theodore
8 Shim, Woojoo
8 Tadmor, Eitan
8 Trillos, Nicolás García
8 Vazquez, Juan Luis
8 von Brecht, James H.
8 Wagner, Barbara A.
8 Wei, Guowei
8 Zeng, Tie Yong
7 Ambrose, David M.
7 Bedrossian, Jacob
7 Benilov, Eugene S.
7 Chen, Qionglei
7 Chugunova, Marina A.
7 D’Elia, Marta
7 Di Francesco, Marco
7 Diez, Javier Alberto
7 Fakih, Hussein
7 Fornasier, Massimo
7 Glasner, Karl B.
7 Gómez-Serrano, Javier
7 Gunzburger, Max D.
7 Jeong, Darae
7 Jeong, In-Jee
7 Jin, Shi
7 Jüngel, Ansgar
7 Lou, Yifei
7 Lowengrub, John Samuel
7 Matar, Omar K.
7 Osting, Braxton
7 Peszek, Jan
...and 2,841 more Authors
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Cited in 324 Serials

114 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
108 Journal of Differential Equations
81 Archive for Rational Mechanics and Analysis
80 Journal of Computational Physics
67 Physica D
66 Journal of Fluid Mechanics
57 Communications in Mathematical Physics
56 Journal of Mathematical Analysis and Applications
51 Physics of Fluids
42 SIAM Journal on Mathematical Analysis
41 Journal of Nonlinear Science
39 Discrete and Continuous Dynamical Systems
37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Journal of Scientific Computing
31 Journal of Mathematical Fluid Mechanics
30 Applied Mathematics Letters
30 SIAM Journal on Imaging Sciences
29 ZAMP. Zeitschrift für angewandte Mathematik und Physik
29 European Journal of Applied Mathematics
29 Nonlinear Analysis. Real World Applications
27 Journal of Statistical Physics
26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
26 Discrete and Continuous Dynamical Systems. Series B
25 Computers & Mathematics with Applications
25 Journal of Engineering Mathematics
22 Nonlinearity
22 Applied Mathematics and Computation
21 Kinetic and Related Models
20 Advances in Mathematics
20 SIAM Journal on Applied Mathematics
19 Journal of Mathematical Imaging and Vision
19 SIAM Journal on Applied Dynamical Systems
18 Journal of Functional Analysis
18 Calculus of Variations and Partial Differential Equations
17 Communications in Partial Differential Equations
16 Journal of Mathematical Physics
16 Journal of Computational and Applied Mathematics
16 Proceedings of the American Mathematical Society
15 Communications on Pure and Applied Mathematics
15 Mathematics of Computation
15 Bulletin of Mathematical Biology
15 Inverse Problems and Imaging
14 Computer Methods in Applied Mechanics and Engineering
13 Journal of Mathematical Biology
13 NoDEA. Nonlinear Differential Equations and Applications
12 Quarterly of Applied Mathematics
12 Acta Applicandae Mathematicae
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 SIAM Journal on Scientific Computing
12 Communications on Pure and Applied Analysis
11 SIAM Journal on Numerical Analysis
11 Communications in Nonlinear Science and Numerical Simulation
10 Networks and Heterogeneous Media
9 Transactions of the American Mathematical Society
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Applicable Analysis
8 Inverse Problems
8 Applied Mathematics and Optimization
8 Mathematische Annalen
8 Applied Numerical Mathematics
8 Journal of Evolution Equations
8 Analysis and Applications (Singapore)
8 SIAM Journal on Mathematics of Data Science
7 Computers and Fluids
7 Mathematical Methods in the Applied Sciences
7 Mathematical and Computer Modelling
7 Bulletin of the American Mathematical Society. New Series
7 Computational and Applied Mathematics
7 Mathematical Problems in Engineering
7 Multiscale Modeling & Simulation
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of Theoretical Biology
6 Numerische Mathematik
6 SIAM Review
6 Applied and Computational Harmonic Analysis
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Annals of Mathematics. Second Series
6 Milan Journal of Mathematics
6 Annals of PDE
5 International Journal of Control
5 Physica A
5 Physics Letters. A
5 Chaos, Solitons and Fractals
5 Inventiones Mathematicae
5 Mathematics and Computers in Simulation
5 Proceedings of the National Academy of Sciences of the United States of America
5 Stochastic Processes and their Applications
5 Abstract and Applied Analysis
5 Chaos
5 European Journal of Mechanics. B. Fluids
5 Boundary Value Problems
5 Mathematical Modelling of Natural Phenomena
4 Rocky Mountain Journal of Mathematics
4 Duke Mathematical Journal
4 Studies in Applied Mathematics
4 Chinese Annals of Mathematics. Series B
4 Revista Matemática Iberoamericana
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Journal of Mathematical Sciences (New York)
4 International Journal of Computer Vision
...and 224 more Serials
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Cited in 45 Fields

1,483 Partial differential equations (35-XX)
979 Fluid mechanics (76-XX)
415 Numerical analysis (65-XX)
319 Biology and other natural sciences (92-XX)
182 Statistical mechanics, structure of matter (82-XX)
145 Calculus of variations and optimal control; optimization (49-XX)
138 Computer science (68-XX)
111 Dynamical systems and ergodic theory (37-XX)
110 Information and communication theory, circuits (94-XX)
107 Probability theory and stochastic processes (60-XX)
101 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
92 Ordinary differential equations (34-XX)
80 Mechanics of deformable solids (74-XX)
62 Statistics (62-XX)
51 Integral equations (45-XX)
50 Systems theory; control (93-XX)
48 Mechanics of particles and systems (70-XX)
45 Geophysics (86-XX)
42 Operations research, mathematical programming (90-XX)
38 Global analysis, analysis on manifolds (58-XX)
36 Operator theory (47-XX)
35 Classical thermodynamics, heat transfer (80-XX)
31 Combinatorics (05-XX)
29 Real functions (26-XX)
28 Harmonic analysis on Euclidean spaces (42-XX)
26 Differential geometry (53-XX)
15 Functional analysis (46-XX)
11 General and overarching topics; collections (00-XX)
10 Optics, electromagnetic theory (78-XX)
8 Measure and integration (28-XX)
7 Difference and functional equations (39-XX)
7 Approximations and expansions (41-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Special functions (33-XX)
6 Convex and discrete geometry (52-XX)
6 Quantum theory (81-XX)
5 Potential theory (31-XX)
4 Functions of a complex variable (30-XX)
4 Relativity and gravitational theory (83-XX)
2 Integral transforms, operational calculus (44-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

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