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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, A.; Bertozzi, A. L.; Bertozzi, Andrea; Bertozzi, Andrea L.; Bertozzi, Andrea Louis; Bertozzi, Andrea Louise
Homepage: http://www.math.ucla.edu/~bertozzi/
External Links: MGP · Wikidata · dblp
Documents Indexed: 140 Publications since 1988, including 1 Book
all top 5

Co-Authors

7 single-authored
8 Laurent, Thomas
7 Brantingham, P. Jeffrey
7 Osher, Stanley Joel
7 Short, Martin B.
6 Merkurjev, Ekaterina
5 Greer, John B.
5 Kolokolnikov, Theodore
5 Lou, Yifei
5 Shearer, Michael
5 von Brecht, James H.
5 Wang, Li
4 Münch, Andreas
4 Parkinson, Christian
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 Mavromoustaki, A.
3 Sadeghpour, Abolfazl
3 Soatto, Stefano
3 Tita, George E.
3 Van Gennip, Yves
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 Hosoi, A. E.
2 Hunter, Blake
2 Kostić, Tijana
2 Lindstrom, Michael R.
2 Lu, Hsiang-Wei
2 Luo, Xiyang
2 Mata, Matthew R.
2 Porter, Mason Alexander
2 Rodriguez, Nancy Y.
2 Rosado, Jesús
2 Stokes, Yvonne Marie
2 Tai, Xuecheng
2 Topaz, Chad M.
2 Valasik, Matthew
2 Wang, Bao
2 Wang, Chuntian
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 Graham, Fan-Rong King
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 Fernández, Daniel
1 Fox, Eric Warren
1 Gao, Wenhua
1 Garcia-Cardona, Cristina
1 Geldner, Nathan
1 Getreuer, Pascal
1 Glasner, Karl B.
1 Glidden, Robert
...and 93 more Co-Authors
all top 5

Serials

12 SIAM Journal on Applied Mathematics
7 Journal of Fluid Mechanics
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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 Inverse Problems and Imaging
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 SIAM Journal on Applied Dynamical Systems
2 Multiscale Modeling & Simulation
1 IMA Journal of Applied Mathematics
1 Inverse Problems
1 Journal of Mathematical Physics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 IEEE Transactions on Automatic Control
1 Indiana University Mathematics Journal
1 SIAM Journal on Numerical Analysis
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

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 3,369 times in 2,056 Documents Cited by Year
Vorticity and incompressible flow. Zbl 0983.76001
Majda, Andrew J.; Bertozzi, Andrea L.
648
2002
Swarming patterns in a two-dimensional kinematic model for biological groups. Zbl 1071.92048
Topaz, Chad M.; Bertozzi, Andrea L.
162
2004
A nonlocal continuum model for biological aggregation. Zbl 1334.92468
Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A.
158
2006
The lubrication approximation for thin viscous films: Regularity and long-time behavior of weak solutions. Zbl 0863.76017
Bertozzi, A. L.; Pugh, M.
107
1996
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas
99
2009
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.
78
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.
77
2008
Inpainting of binary images using the Cahn-Hilliard equation. Zbl 1279.94008
Bertozzi, Andrea L.; Esedoḡlu, Selim; Gillette, Alan
76
2007
Global regularity for vortex patches. Zbl 0771.76014
Bertozzi, A. L.; Constantin, P.
73
1993
Linear stability and transient growth in driven contact lines. Zbl 1185.76627
Bertozzi, Andrea L.; Brenner, Michael P.
72
1997
Long-wave instabilities and saturation in thin film equations. Zbl 0916.35008
Bertozzi, A. L.; Pugh, M. C.
65
1998
\(L^p\) theory for the multidimensional aggregation equation. Zbl 1218.35075
Bertozzi, Andrea L.; Laurent, Thomas; Rosado, Jesús
62
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.
58
2011
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
58
2010
Positivity-preserving numerical schemes for lubrication-type equations. Zbl 0961.76060
Zhornitskaya, L.; Bertozzi, A. L.
52
2000
The mathematics of moving contact lines in thin liquid films. Zbl 0917.35100
Bertozzi, Andrea L.
52
1998
Fourth order partial differential equations on general geometries. Zbl 1097.65087
Greer, John B.; Bertozzi, Andrea L.; Sapiro, Guillermo
51
2006
Finite-time blow-up of solutions of some long-wave unstable thin film equations. Zbl 0978.35007
Bertozzi, A. L.; Pugh, M. C.
46
2000
Aggregation and spreading via the Newtonian potential: the dynamics of patch solutions. Zbl 1241.35153
Bertozzi, Andrea L.; Laurent, Thomas; Léger, Flavien
44
2012
Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\). Zbl 1132.35392
Bertozzi, Andrea L.; Laurent, Thomas
42
2007
Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff. Zbl 0951.74007
Bernoff, Andrew J.; Bertozzi, Andrea L.; Witelski, Thomas P.
41
1998
Singularities and similarities in interface flows. Zbl 0808.76022
Bertozzi, Andrea L.; Brenner, Michael P.; Dupont, Todd F.; Kadanoff, Leo P.
41
1994
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
40
2010
Undercompressive shocks in thin film flows. Zbl 1076.76509
Bertozzi, A. L.; Münch, A.; Shearer, M.
38
1999
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215
Bertozzi, Andrea L.; Flenner, Arjuna
37
2012
Predicting pattern formation in particle interactions. Zbl 1252.35056
von Brecht, James H.; Uminsky, David; Kolokolnikov, Theodore; Bertozzi, Andrea L.
37
2012
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.
35
1994
Dewetting films: Bifurcations and concentrations. Zbl 1006.35049
Bertozzi, A. L.; Grün, G.; Witelski, T. P.
32
2001
Self-similar blowup solutions to an aggregation equation in \(R^n\). Zbl 1238.35013
Huang, Yanghong; Bertozzi, Andrea L.
31
2010
Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309
Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan
31
2007
Symmetric singularity formation in lubrication-type equations for interface motion. Zbl 0856.35002
Bertozzi, Andrea L.
31
1996
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
30
2015
Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion. Zbl 1213.35266
Bertozzi, Andrea L.; Slepčev, Dejan
30
2010
Traveling wave solutions of fourth order PDEs for image processing. Zbl 1082.35080
Greer, J. B.; Bertozzi, A. L.
30
2004
An MBO scheme on graphs for classification and image processing. Zbl 1279.68335
Merkurjev, Ekaterina; Kostić, Tijana; Bertozzi, Andrea L.
29
2013
Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
29
2010
A blob method for the aggregation equation. Zbl 1339.35235
Craig, Katy; Bertozzi, Andrea L.
26
2016
Mean curvature, threshold dynamics, and phase field theory on finite graphs. Zbl 1325.35245
van Gennip, Yves; Guillen, Nestor; Osting, Braxton; Bertozzi, Andrea L.
26
2014
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
26
2011
Local existence and uniqueness of solutions to a PDE model for criminal behavior. Zbl 1200.35308
Rodriguez, Nancy; Bertozzi, Andrea
26
2010
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.
23
2006
Low-curvature image simplifiers: global regularity of smooth solutions and Laplacian limiting schemes. Zbl 1058.35083
Bertozzi, Andrea L.; Greer, John B.
23
2004
\(\Gamma\)-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200
van Gennip, Yves; Bertozzi, Andrea L.
22
2012
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.
21
2014
Heteroclinic orbits and chaotic dynamics in planar fluid flows. Zbl 0656.76025
Bertozzi, Andrea Louis
21
1988
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.
20
2014
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations. Zbl 1248.35023
Bertozzi, Andrea L.; Garnett, John B.; Laurent, Thomas
20
2012
Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition. Zbl 0899.76190
Bernoff, Andrew J.; Bertozzi, Andrea L.
20
1995
Stability of compressive and undercompressive thin film travelling waves. Zbl 1028.76012
Bertozzi, Andrea L.; Münch, Andreas; Shearer, Michael; Zumbrun, Kevin
18
2001
Existence of undercompressive traveling waves in thin film equations. Zbl 0959.35122
Bertozzi, A. L.; Shearer, M.
18
2000
Blowup and dissipation in a critical-case unstable thin film equation. Zbl 1062.76005
Witelski, T. P.; Bernoff, A. J.; Bertozzi, A. L.
17
2004
Shock solutions for particle-laden thin films. Zbl 1138.76019
Cook, Benjamin P.; Bertozzi, Andrea L.; Hosoi, A. E.
16
2008
Thin film traveling waves and the Navier slip condition. Zbl 1024.35038
Buckingham, Robert; Shearer, Michael; Bertozzi, Andrea
16
2003
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.
15
2013
Stable and unstable singularities in the unforced Hele-Shaw cell. Zbl 1087.76028
Almgren, Robert; Bertozzi, Andrea; Brenner, Michael P.
15
1996
Uncertainty quantification in graph-based classification of high dimensional data. Zbl 1394.62083
Bertozzi, Andrea L.; Luo, Xiyang; Stuart, Andrew M.; Zygalakis, Konstantinos C.
14
2018
\(H^ 1\) solutions of a class of fourth order nonlinear equations for image processing. Zbl 1159.68619
Greer, John B.; Bertozzi, Andrea L.
14
2004
Contagion shocks in one dimension. Zbl 1318.35135
Bertozzi, Andrea L.; Rosado, Jesus; Short, Martin B.; Wang, Li
13
2015
Efficient numerical methods for multiscale crowd dynamics with emotional contagion. Zbl 1359.35197
Wang, Li; Short, Martin B.; Bertozzi, Andrea L.
12
2017
Diffuse interface surface tension models in an expanding flow. Zbl 1272.35025
Bertozzi, Andrea; Kolokolnikov, Theodore; Liu, Wangyi
12
2012
Blow-up dynamics for the aggregation equation with degenerate diffusion. Zbl 1286.35050
Yao, Yao; Bertozzi, Andrea L.
11
2013
Dynamics of particle settling and resuspension in viscous liquid films. Zbl 1284.76381
Murisic, N.; Pausader, B.; Peschka, D.; Bertozzi, A. L.
11
2013
Stability and clustering of self-similar solutions of aggregation equations. Zbl 1278.35259
Sun, Hui; Uminsky, David; Bertozzi, Andrea L.
11
2012
A biharmonic-modified forward time stepping method for fourth order nonlinear diffusion equations. Zbl 1227.65071
Bertozzi, Andrea L.; Ju, Ning; Lu, Hsiang-Wei
11
2011
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.
11
2007
Two-species particle aggregation and stability of co-dimension one solutions. Zbl 1304.35081
Mackey, Alan; Kolokolnikov, Theodore; Bertozzi, Andrea L.
10
2014
Swarming on random graphs. Zbl 1269.82047
von Brecht, James; Kolokolnikov, Theodore; Bertozzi, Andrea L.; Sun, Hui
10
2013
Asymptotics of blowup solutions for the aggregation equation. Zbl 1298.35110
Huang, Yanghong; Bertozzi, Andrea
10
2012
Global binary optimization on graphs for classification of high-dimensional data. Zbl 1333.90111
Merkurjev, Ekaterina; Bae, Egil; Bertozzi, Andrea L.; Tai, Xue-Cheng
9
2015
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.
9
2009
Convergence of the graph Allen-Cahn scheme. Zbl 1375.82023
Luo, Xiyang; Bertozzi, Andrea L.
8
2017
Shock solutions for high concentration particle-laden thin films. Zbl 1308.35140
Wang, Li; Bertozzi, Andrea L.
8
2014
The behavior of solutions of multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1188.35141
Bertozzi, Andrea L.; Laurent, Thomas
8
2009
Nonlinear dynamics and transient growth of driven contact lines. Zbl 1149.76438
Kondic, L.; Bertozzi, A. L.
8
1999
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1339.68287
Bertozzi, Andrea L.; Flenner, Arjuna
7
2016
Hyperbolic systems of conservation laws in gravity-driven, particle-laden thin-film flows. Zbl 1359.76036
Mavromoustaki, A.; Bertozzi, A. L.
7
2014
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
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.
5
2018
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
5
2016
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 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
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
Nonlinear dynamics of two-dimensional undercompressive shocks. Zbl 1079.76012
Bowen, Mark; Sur, Jeanman; Bertozzi, Andrea L.; Behringer, Robert P.
5
2005
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
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
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.
4
2017
Analysis of the wavelet Ginzburg-Landau energy in image applications with edges. Zbl 1280.42032
Dobrosotskaya, J. A.; Bertozzi, A. L.
4
2013
Direct sparse deblurring. Zbl 1255.94022
Lou, Yifei; Bertozzi, Andrea L.; Soatto, Stefano
4
2011
Loss and gain of regularity in a lubrication equation for thin viscous films. Zbl 0840.35080
Bertozzi, A. L.
4
1995
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
Rarefaction-singular shock dynamics for conserved volume gravity driven particle-laden thin film. Zbl 1326.76009
Wang, Li; Mavromoustaki, A.; Bertozzi, A. L.; Urdaneta, G.; Huang, K.
3
2015
A linear systems approach to imaging through turbulence. Zbl 1291.68400
Micheli, Mario; Lou, Yifei; Soatto, Stefano; Bertozzi, Andrea L.
3
2014
Well-posedness theory for aggregation sheets. Zbl 1307.58018
von Brecht, James H.; Bertozzi, Andrea L.
3
2013
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
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
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
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
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.
2
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
2
2019
Consistent dynamic mode decomposition. Zbl 1428.37098
Azencot, Omri; Yin, Wotao; Bertozzi, Andrea
1
2019
Fast equilibration dynamics of viscous particle-laden flow in an inclined channel. Zbl 1430.76473
Wong, Jeffrey; Lindstrom, Michael; Bertozzi, Andrea L.
1
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.
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.
14
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.
5
2018
Simplified energy landscape for modularity using total variation. Zbl 1398.65133
Boyd, Zachary M.; Bae, Egil; Tai, Xue-Cheng; Bertozzi, Andrea L.
2
2018
Performance bounds on spatial coverage tasks by stochastic robotic swarms. Zbl 1395.93409
Zhang, Fangbo; Bertozzi, Andrea L.; Elamvazhuthi, Karthik; Berman, Spring
2
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.
12
2017
Convergence of the graph Allen-Cahn scheme. Zbl 1375.82023
Luo, Xiyang; Bertozzi, Andrea L.
8
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.
4
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
2
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.
26
2016
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1339.68287
Bertozzi, Andrea L.; Flenner, Arjuna
7
2016
The regularity of the boundary of a multidimensional aggregation patch. Zbl 1355.35110
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J.
5
2016
A conservation law model for bidensity suspensions on an incline. Zbl 1373.76332
Wong, Jeffrey T.; Bertozzi, Andrea L.
2
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
Mathematical modelling of crime and security: special issue of EJAM. Zbl 1384.00059
Bertozzi, Andrea L. (ed.); Johnson, Shane D. (ed.); Ward, Michael J. (ed.)
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
30
2015
Contagion shocks in one dimension. Zbl 1318.35135
Bertozzi, Andrea L.; Rosado, Jesus; Short, Martin B.; Wang, Li
13
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
9
2015
Rarefaction-singular shock dynamics for conserved volume gravity driven particle-laden thin film. Zbl 1326.76009
Wang, Li; 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.
26
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.
21
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.
20
2014
Two-species particle aggregation and stability of co-dimension one solutions. Zbl 1304.35081
Mackey, Alan; Kolokolnikov, Theodore; Bertozzi, Andrea L.
10
2014
Shock solutions for high concentration particle-laden thin films. Zbl 1308.35140
Wang, Li; Bertozzi, Andrea L.
8
2014
Hyperbolic systems of conservation laws in gravity-driven, particle-laden thin-film flows. Zbl 1359.76036
Mavromoustaki, A.; Bertozzi, A. L.
7
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.
3
2014
An MBO scheme on graphs for classification and image processing. Zbl 1279.68335
Merkurjev, Ekaterina; Kostić, Tijana; Bertozzi, Andrea L.
29
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.
15
2013
Blow-up dynamics for the aggregation equation with degenerate diffusion. Zbl 1286.35050
Yao, Yao; Bertozzi, Andrea L.
11
2013
Dynamics of particle settling and resuspension in viscous liquid films. Zbl 1284.76381
Murisic, N.; Pausader, B.; Peschka, D.; Bertozzi, A. L.
11
2013
Swarming on random graphs. Zbl 1269.82047
von Brecht, James; Kolokolnikov, Theodore; Bertozzi, Andrea L.; Sun, Hui
10
2013
Analysis of the wavelet Ginzburg-Landau energy in image applications with edges. Zbl 1280.42032
Dobrosotskaya, J. A.; Bertozzi, A. L.
4
2013
Well-posedness theory for aggregation sheets. Zbl 1307.58018
von Brecht, James H.; Bertozzi, Andrea L.
3
2013
Video stabilization of atmospheric turbulence distortion. Zbl 1272.68436
Lou, Yifei; Kang, Sung Ha; Soatto, Stefano; Bertozzi, Andrea L.
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
Statistical density estimation using threshold dynamics for geometric motion. Zbl 1263.65010
Kostić, Tijana; Bertozzi, Andrea
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
44
2012
Diffuse interface models on graphs for classification of high dimensional data. Zbl 1259.68215
Bertozzi, Andrea L.; Flenner, Arjuna
37
2012
Predicting pattern formation in particle interactions. Zbl 1252.35056
von Brecht, James H.; Uminsky, David; Kolokolnikov, Theodore; Bertozzi, Andrea L.
37
2012
\(\Gamma\)-convergence of graph Ginzburg-Landau functionals. Zbl 1388.35200
van Gennip, Yves; Bertozzi, Andrea L.
22
2012
Characterization of radially symmetric finite time blowup in multidimensional aggregation equations. Zbl 1248.35023
Bertozzi, Andrea L.; Garnett, John B.; Laurent, Thomas
20
2012
Diffuse interface surface tension models in an expanding flow. Zbl 1272.35025
Bertozzi, Andrea; Kolokolnikov, Theodore; Liu, Wangyi
12
2012
Stability and clustering of self-similar solutions of aggregation equations. Zbl 1278.35259
Sun, Hui; Uminsky, David; Bertozzi, Andrea L.
11
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
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
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
\(L^p\) theory for the multidimensional aggregation equation. Zbl 1218.35075
Bertozzi, Andrea L.; Laurent, Thomas; Rosado, Jesús
62
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.
58
2011
Unconditionally stable schemes for higher order inpainting. Zbl 1216.94016
Schönlieb, Carola-Bibiane; Bertozzi, Andrea
26
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
11
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
Image recovery via nonlocal operators. Zbl 1203.65088
Lou, Yifei; Zhang, Xiaoqun; Osher, Stanley; Bertozzi, Andrea
58
2010
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
40
2010
Self-similar blowup solutions to an aggregation equation in \(R^n\). Zbl 1238.35013
Huang, Yanghong; Bertozzi, Andrea L.
31
2010
Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion. Zbl 1213.35266
Bertozzi, Andrea L.; Slepčev, Dejan
30
2010
Finite-time blow-up of \(L^\infty \)-weak solutions of an aggregation equation. Zbl 1197.35061
Bertozzi, Andrea L.; Brandman, Jeremy
29
2010
Local existence and uniqueness of solutions to a PDE model for criminal behavior. Zbl 1200.35308
Rodriguez, Nancy; Bertozzi, Andrea
26
2010
Wavelet analogue of the Ginzburg-Landau energy and its \(\Gamma \)-convergence. Zbl 1213.35197
Dobrosotskaya, Julia A.; Bertozzi, Andrea L.
5
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
Higher-order feature-preserving geometric regularization. Zbl 1185.65066
Droske, Marc; Bertozzi, Andrea
2
2010
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas
99
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.
9
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.
77
2008
Shock solutions for particle-laden thin films. Zbl 1138.76019
Cook, Benjamin P.; Bertozzi, Andrea L.; Hosoi, A. E.
16
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.
78
2007
Inpainting of binary images using the Cahn-Hilliard equation. Zbl 1279.94008
Bertozzi, Andrea L.; Esedoḡlu, Selim; Gillette, Alan
76
2007
Finite-time blow-up of solutions of an aggregation equation in \(\mathbb R^n\). Zbl 1132.35392
Bertozzi, Andrea L.; Laurent, Thomas
42
2007
Analysis of a two-scale Cahn-Hilliard model for binary image inpainting. Zbl 1149.35309
Bertozzi, Andrea; Esedoḡlu, Selim; Gillette, Alan
31
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.
11
2007
A nonlocal continuum model for biological aggregation. Zbl 1334.92468
Topaz, Chad M.; Bertozzi, Andrea L.; Lewis, Mark A.
158
2006
Fourth order partial differential equations on general geometries. Zbl 1097.65087
Greer, John B.; Bertozzi, Andrea L.; Sapiro, Guillermo
51
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.
23
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
Swarming patterns in a two-dimensional kinematic model for biological groups. Zbl 1071.92048
Topaz, Chad M.; Bertozzi, Andrea L.
162
2004
Traveling wave solutions of fourth order PDEs for image processing. Zbl 1082.35080
Greer, J. B.; Bertozzi, A. L.
30
2004
Low-curvature image simplifiers: global regularity of smooth solutions and Laplacian limiting schemes. Zbl 1058.35083
Bertozzi, Andrea L.; Greer, John B.
23
2004
Blowup and dissipation in a critical-case unstable thin film equation. Zbl 1062.76005
Witelski, T. P.; Bernoff, A. J.; Bertozzi, A. L.
17
2004
\(H^ 1\) solutions of a class of fourth order nonlinear equations for image processing. Zbl 1159.68619
Greer, John B.; Bertozzi, Andrea L.
14
2004
Thin film traveling waves and the Navier slip condition. Zbl 1024.35038
Buckingham, Robert; Shearer, Michael; Bertozzi, Andrea
16
2003
Vorticity and incompressible flow. Zbl 0983.76001
Majda, Andrew J.; Bertozzi, Andrea L.
648
2002
...and 24 more Documents
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Cited by 2,762 Authors

67 Carrillo de la Plata, José Antonio
62 Bertozzi, Andrea Louise
40 Ha, Seung-Yeal
33 Chae, Dongho
27 Wu, Jiahong
24 Bellomo, Nicola
23 Degond, Pierre
18 Kim, Junseok
18 Liu, Jianguo
17 Cordoba, Diego
17 Yamazaki, Kazuo
16 Constantin, Peter
16 Witelski, Thomas P.
15 Ye, Zhuan
14 Choi, Young-Pil
14 Fetecau, Razvan C.
14 Li, Dong
14 Rodrigo, José Luis
14 Taranets, Roman M.
13 Hou, Thomas Yizhao
13 Jiu, Quansen
13 Li, Yibao
13 Vauchelet, Nicolas
12 Gancedo, Francisco
12 Nussenzveig Lopes, Helena Judith
12 Titi, Edriss Saleh
11 Fontelos López, Marco Antonio
11 Kalliadasis, Serafim
11 Lopes Filho, Milton da Costa
11 Schönlieb, Carola-Bibiane
11 Slepčev, Dejan
11 Wan, Renhui
11 Xu, Xiaojing
10 Burger, Martin
10 Hmidi, Taoufik
10 Huang, Yanghong
10 Kiselev, Alexander A.
10 Knüpfer, Hans
10 Kondic, Lou
10 Laurent, Thomas
10 Masmoudi, Nader
10 Münch, Andreas
10 Soler, Juan S.
10 Tan, Zhong
10 Vicol, Vlad C.
9 Du, Qiang
9 Garcke, Harald
9 King, John Robert
9 Mateu, Joan
9 Momoniat, Ebrahim
9 Yao, Yao
9 Zhang, Xiongtao
9 Zhang, Zhifei
8 Barrett, John W.
8 Bernoff, Andrew J.
8 Brezzi, Franco
8 Castro, Ángel
8 Di Francesco, Marco
8 Eftimie, Raluca
8 Giacomelli, Lorenzo
8 Gnann, Manuel V.
8 Granero Belinchón, Rafael
8 Grasselli, Maurizio
8 Kim, Jeongho
8 Ko, Dongnam
8 Kolokolnikov, Theodore
8 Motsch, Sébastien
8 Tai, Xuecheng
8 von Brecht, James H.
8 Wagner, Barbara A.
8 Wei, Guowei
7 Ambrose, David M.
7 Bedrossian, Jacob
7 Benilov, Eugene S.
7 Chen, Qionglei
7 Chugunova, Marina A.
7 Diez, Javier Alberto
7 Elgindi, Tarek Mohamed
7 Flandoli, Franco
7 Fornasier, Massimo
7 Grün, Günther
7 Lowengrub, John Samuel
7 Matar, Omar K.
7 Patacchini, Francesco Saverio
7 Peszek, Jan
7 Tadmor, Eitan
7 Tan, Changhui
7 Van Gennip, Yves
7 Ward, Michael J.
7 Winkler, Michael
7 Zeng, Tie Yong
7 Zheng, Xiaoxin
6 Bae, Hantaek
6 Craig, Katy
6 Eggers, Jens G.
6 Elmoataz, Abderrahim
6 Fakih, Hussein
6 Gal, Ciprian Gheorghe Sorin
6 Galaktionov, Victor Aleksandrovich
6 Glasner, Karl B.
...and 2,662 more Authors
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Cited in 289 Serials

103 Journal of Differential Equations
99 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
73 Archive for Rational Mechanics and Analysis
73 Journal of Computational Physics
71 Physica D
61 Journal of Mathematical Analysis and Applications
58 Journal of Fluid Mechanics
53 Communications in Mathematical Physics
51 Physics of Fluids
43 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
36 SIAM Journal on Mathematical Analysis
36 Journal of Nonlinear Science
35 Discrete and Continuous Dynamical Systems
31 Nonlinear Analysis. Real World Applications
30 Journal of Scientific Computing
29 Applied Mathematics Letters
28 European Journal of Applied Mathematics
26 Computers & Mathematics with Applications
26 ZAMP. Zeitschrift für angewandte Mathematik und Physik
26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
25 Journal of Engineering Mathematics
25 Journal of Statistical Physics
25 Journal of Mathematical Fluid Mechanics
25 Discrete and Continuous Dynamical Systems. Series B
25 SIAM Journal on Imaging Sciences
21 Nonlinearity
21 Advances in Mathematics
20 Applied Mathematics and Computation
18 SIAM Journal on Applied Mathematics
18 Journal of Mathematical Imaging and Vision
17 SIAM Journal on Applied Dynamical Systems
17 Kinetic and Related Models
16 Communications in Partial Differential Equations
15 Communications on Pure and Applied Mathematics
15 Journal of Mathematical Physics
15 Journal of Computational and Applied Mathematics
14 Mathematics of Computation
14 Journal of Functional Analysis
14 Proceedings of the American Mathematical Society
13 Computer Methods in Applied Mechanics and Engineering
13 Journal of Mathematical Biology
13 Calculus of Variations and Partial Differential Equations
13 Inverse Problems and Imaging
12 Bulletin of Mathematical Biology
12 SIAM Journal on Numerical Analysis
12 NoDEA. Nonlinear Differential Equations and Applications
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Quarterly of Applied Mathematics
10 SIAM Journal on Scientific Computing
10 Communications in Nonlinear Science and Numerical Simulation
9 Transactions of the American Mathematical Society
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Communications on Pure and Applied Analysis
8 Applicable Analysis
8 Computers and Fluids
8 Mathematische Annalen
8 Acta Applicandae Mathematicae
8 Applied Numerical Mathematics
8 Networks and Heterogeneous Media
7 Mathematical Methods in the Applied Sciences
7 Mathematical and Computer Modelling
7 Bulletin of the American Mathematical Society. New Series
7 Mathematical Problems in Engineering
7 Journal of Evolution Equations
7 Journal of Theoretical Biology
6 Numerische Mathematik
6 Stochastic Processes and their Applications
6 Abstract and Applied Analysis
6 Milan Journal of Mathematics
6 Multiscale Modeling & Simulation
6 Analysis and Applications (Singapore)
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Physics Letters. A
5 Applied Mathematics and Optimization
5 Inventiones Mathematicae
5 Mathematics and Computers in Simulation
5 Proceedings of the National Academy of Sciences of the United States of America
5 Applied and Computational Harmonic Analysis
5 Annals of Mathematics. Second Series
4 Inverse Problems
4 Studies in Applied Mathematics
4 Revista Matemática Iberoamericana
4 SIAM Review
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Chaos
4 Acta Mathematica Sinica. English Series
4 Journal of Applied Mathematics
4 Mediterranean Journal of Mathematics
4 Boundary Value Problems
4 Mathematical Modelling of Natural Phenomena
4 Annals of PDE
4 Philosophical Transactions A. Royal Society of London
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
3 Acta Mechanica
3 International Journal of Control
3 Physica A
3 Reports on Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Chaos, Solitons and Fractals
3 Duke Mathematical Journal
...and 189 more Serials
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Cited in 47 Fields

1,357 Partial differential equations (35-XX)
935 Fluid mechanics (76-XX)
356 Numerical analysis (65-XX)
283 Biology and other natural sciences (92-XX)
164 Statistical mechanics, structure of matter (82-XX)
120 Calculus of variations and optimal control; optimization (49-XX)
109 Computer science (68-XX)
101 Dynamical systems and ergodic theory (37-XX)
93 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
93 Information and communication theory, circuits (94-XX)
86 Probability theory and stochastic processes (60-XX)
76 Ordinary differential equations (34-XX)
72 Mechanics of deformable solids (74-XX)
44 Integral equations (45-XX)
44 Mechanics of particles and systems (70-XX)
43 Statistics (62-XX)
42 Geophysics (86-XX)
42 Systems theory; control (93-XX)
33 Classical thermodynamics, heat transfer (80-XX)
32 Global analysis, analysis on manifolds (58-XX)
32 Operations research, mathematical programming (90-XX)
31 Operator theory (47-XX)
29 Harmonic analysis on Euclidean spaces (42-XX)
26 Real functions (26-XX)
26 Differential geometry (53-XX)
24 Combinatorics (05-XX)
13 Functional analysis (46-XX)
11 General and overarching topics; collections (00-XX)
10 Optics, electromagnetic theory (78-XX)
8 Measure and integration (28-XX)
6 Special functions (33-XX)
6 Difference and functional equations (39-XX)
5 Potential theory (31-XX)
5 Approximations and expansions (41-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Convex and discrete geometry (52-XX)
4 Quantum theory (81-XX)
4 Relativity and gravitational theory (83-XX)
4 Astronomy and astrophysics (85-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)

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