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Lowengrub, John Samuel

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Author ID: lowengrub.john-s Recent zbMATH articles by "Lowengrub, John Samuel"
Published as: Lowengrub, John; Lowengrub, John S.; Lowengrub, J. S.; Lowengrub, J.
Homepage: http://www.math.uci.edu/~lowengrb/
External Links: MGP
Documents Indexed: 110 Publications since 1989
Co-Authors: 104 Co-Authors with 107 Joint Publications
3,055 Co-Co-Authors
all top 5

Co-Authors

1 single-authored
18 Wise, Steven M.
15 Li, Shuwang
14 Hou, Thomas Yizhao
12 Cristini, Vittorio
12 Voigt, Axel
9 Wang, Cheng
8 Shelley, Michael J.
7 Macklin, Paul
6 Guo, Zhenlin
5 Beale, J. Thomas
5 Guan, Zhen
5 Li, Xiaofan
4 Aland, Sebastian
4 Frieboes, Hermann B.
4 Goodman, Jonathan B.
4 Kim, Junseok
4 Li, Xiangrong
4 Lin, Ping
4 Zhao, Meng
3 Baskaran, Arvind
3 Belmonte, Andrew
3 Chaplain, Mark A. J.
3 Hu, Zhengzheng
3 James, Ashley J.
3 Jin, Fang
3 Konstorum, Anna
3 Leo, Perry H.
3 Liu, Chun
3 Nie, Qing
3 Rätz, Andreas
3 Xu, Jianjun
3 Zhao, Hongkai
3 Zheng, Xiaoming
2 Allard, Jun
2 Caflisch, Russel E.
2 Chuang, Yao-Li
2 Feng, Wenqiang
2 Kang, Kyungkeun
2 Lee, Hyeong-Gi
2 Li, Zhilin
2 Lu, Min-Jhe
2 McDougall, Steven R.
2 Pham, Kara
2 Sohn, Jinsun
2 Teigen, Knut Erik
2 Truskinovsky, Lev
2 Turian, Emma
2 Ying, Wenjun
1 Anderson, Alexander R. A.
1 Anderson, Anthony M.
1 Angenent, Sigurd Bernardus
1 Aronson, Donald G.
1 Barua, Amlan K.
1 Bellomo, Nicola
1 Betelú, Santiago I.
1 Bingham, Richard
1 Byrne, Helen Mary
1 Chauvière, Arnaud
1 Cheng, Qing
1 Cox, Geoffrey
1 Dosi, Giovanni
1 Egerer, Sabine
1 Feng, Hualong
1 Forni, Guido
1 Franco-de-Leon, Mariano
1 Hao, Wenrui
1 Hatzikirou, Haralambos
1 Hausser, Frank
1 He, Ong
1 Heinonen, Vili
1 Hillen, Thomas
1 Jou, Herng-Jeng
1 Knopoff, Damian A.
1 Komarova, Natalia L.
1 Krasny, Robert
1 Lander, Arthur D.
1 Lervåg, Karl Yngve
1 Leung, Shingyu
1 Li, Bo
1 Li, Jonathan F.
1 Longmire, Ellen K.
1 Lopes Filho, Milton da Costa
1 Marth, Wieland
1 Merriman, Barry
1 Niroobakhsh, Zahra
1 Nussenzveig Lopes, Helena Judith
1 Shelly, M. J.
1 Shen, Jie
1 Song, Peng
1 Titi, Edriss Saleh
1 Torabi, Solmaz
1 Tseng, Yu-Hau
1 Twarock, Reidun
1 Virgillito, Maria Enrica
1 Wang, Fan
1 Weiss, Lora D.
1 Welling, Max
1 Wodarz, Dominik
1 Yan, Huaming
1 Yang, Xiaofeng
...and 4 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 3,501 times in 1,851 Documents Cited by Year
Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Zbl 0927.76007
Lowengrub, J.; Truskinovsky, L.
299
1998
Removing the stiffness from interfacial flows with surface tension. Zbl 0810.76095
Hou, Thomas Y.; Lowengrub, John S.; Shelley, Michael J.
196
1994
An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027
Wise, S. M.; Wang, Cheng; Lowengrub, J. S.
194
2009
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation. Zbl 1171.82015
Hu, Z.; Wise, S. M.; Wang, C.; Lowengrub, J. S.
152
2009
Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method. Zbl 1398.92135
Wise, S. M.; Lowengrub, J. S.; Frieboes, H. B.; Cristini, Vittorio
137
2008
Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046
Lowengrub, J. S.; Frieboes, H. B.; Jin, F.; Chuang, Y-L; Li, X.; Macklin, P.; Wise, S. M.; Cristini, V.
128
2010
Conservative multigrid methods for Cahn–Hilliard fluids. Zbl 1109.76348
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
127
2004
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039
Cristini, Vittorio; Li, Xiangrong; Lowengrub, John S.; Wise, Steven M.
96
2009
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
93
2003
Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation. Zbl 1401.82046
Baskaran, A.; Lowengrub, J. S.; Wang, C.; Wise, S. M.
80
2013
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
80
2006
Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method. Zbl 1310.82044
Wise, Steven; Kim, Junseok; Lowengrub, John
77
2007
A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant. Zbl 1061.76062
James, Ashley J.; Lowengrub, John
76
2004
A diffuse-interface method for two-phase flows with soluble surfactants. Zbl 1428.76210
Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel
71
2011
Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations. Zbl 1349.65298
Guan, Zhen; Lowengrub, John S.; Wang, Cheng; Wise, Steven M.
71
2014
Multiscale modelling and nonlinear simulation of vascular tumour growth. Zbl 1311.92040
Macklin, Paul; McDougall, Steven; Anderson, Alexander R. A.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
69
2009
Boundary integral methods for multicomponent fluids and multiphase materials. Zbl 1046.76029
Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
64
2001
The long-time motion of vortex sheets with surface tension. Zbl 1185.76545
Hou, T. Y.; Lowengrub, J. S.; Shelly, M. J.
64
1997
Phase field modeling and simulation of three-phase flows. Zbl 1100.35088
Kim, Junseok; Lowengrub, John
63
2005
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
59
2009
Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. Zbl 1349.65265
Baskaran, Arvind; Hu, Zhengzheng; Lowengrub, John S.; Wang, Cheng; Wise, Steven M.; Zhou, Peng
58
2013
Growth rates for the linearized motion of fluid interfaces away from equilibrium. Zbl 0796.76041
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John S.
58
1993
Modeling pinchoff and reconnection in a Hele-Shaw cell. I: The models and their calibration. Zbl 1184.76316
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J.
57
2002
A new phase-field model for strongly anisotropic systems. Zbl 1186.80014
Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven
53
2009
An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids. Zbl 1160.76377
Yang, Xiaofeng; James, Ashley J.; Lowengrub, John; Zheng, Xiaoming; Cristini, Vittorio
50
2006
Convergence of the point vortex method for the 2-D Euler equations. Zbl 0694.76013
Goodman, Jonathan; Hou, Thomas Y.; Lowengrub, John
47
1990
Modeling pinchoff and reconnection in a Hele-Shaw cell. II: Analysis and simulation in the nonlinear regime. Zbl 1184.76317
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J.
45
2002
A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel
43
2009
Microstructural evolution in inhomogeneous elastic media. Zbl 0880.73050
Jou, H.-J.; Leo, P. H.; Lowengrub, J. S.
39
1997
An adaptive multigrid algorithm for simulating solid tumor growth using mixture models. Zbl 1211.65123
Wise, S. M.; Lowengrub, J. S.; Cristini, V.
38
2011
A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law. Zbl 1349.76057
Guo, Z.; Lin, P.; Lowengrub, J. S.
38
2014
Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis. Zbl 1406.92049
Frieboes, Hermann B.; Jin, Fang; Chuang, Yao-Li; Wise, Steven M.; Lowengrub, John S.; Cristini, Vittorio
37
2010
Adaptive unstructured volume remeshing. II: Application to two- and three-dimensional level-set simulations of multiphase flow. Zbl 1075.65120
Zheng, Xiaoming; Lowengrub, John; Anderson, Anthony; Cristini, Vittorio
36
2005
Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth. Zbl 1067.65111
Macklin, Paul; Lowengrub, John
35
2005
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
34
2013
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. Zbl 1316.65089
Leung, Shingyu; Lowengrub, John; Zhao, Hongkai
34
2011
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
31
2004
Convergence of a boundary integral method for water waves. Zbl 0858.76046
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
30
1996
Diffuse interface models of locally inextensible vesicles in a viscous fluid. Zbl 1349.76933
Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel
28
2014
An improved geometry-aware curvature discretization for level set methods: Application to tumor growth. Zbl 1089.92024
Macklin, Paul; Lowengrub, John
27
2006
A new ghost cell/level set method for moving boundary problems: application to tumor growth. Zbl 1203.65144
Macklin, Paul; Lowengrub, John S.
23
2008
Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations. Zbl 1387.65087
Guan, Zhen; Lowengrub, John; Wang, Cheng
23
2017
A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis. Zbl 1398.65208
Feng, Wenqiang; Guan, Zhen; Lowengrub, John; Wang, Cheng; Wise, Steven M.; Chen, Ying
22
2018
Numerical evidence of nonuniqueness in the evolution of vortex sheets. Zbl 1124.76010
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi
21
2006
Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200
Aland, S.; Lowengrub, J.; Voigt, A.
21
2010
Nonlinear three-dimensional simulation of solid tumor growth. Zbl 1124.92022
Li, Xiangrong; Cristini, Vittorio; Nie, Qing; Lowengrub, John S.
19
2007
Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes. Zbl 1439.76121
Guo, Z.; Lin, P.; Lowengrub, J.; Wise, S. M.
19
2017
Microstructural evolution in orthotropic elastic media. Zbl 0960.74076
Leo, P. H.; Lowengrub, J. S.; Nie, Qing
19
2000
Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053
Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S.
19
2010
A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276
Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica
19
2020
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. Zbl 1395.65014
Chen, Ying; Lowengrub, John; Shen, Jie; Wang, Cheng; Wise, Steven
16
2018
A rescaling scheme with application to the long-time simulation of viscous fingering in a Hele-Shaw cell. Zbl 1343.76048
Li, Shuwang; Lowengrub, John S.; Leo, Perry H.
15
2007
A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids. Zbl 1380.65402
Feng, Wenqiang; Guo, Zhenlin; Lowengrub, John S.; Wise, Steven M.
15
2018
Convergence of the vortex method for vortex sheets. Zbl 0676.76023
Caflisch, Russel E.; Lowengrub, John S.
15
1989
Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062
Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel
13
2009
Multispecies model of cell lineages and feedback control in solid tumors. Zbl 1397.92381
Youssefpour, H.; Li, X.; Lander, A. D.; Lowengrub, J. S.
12
2012
Convergence of the point vortex method for the 3-D Euler equations. Zbl 0856.76059
Hou, Thomas Y.; Lowengrub, John
11
1990
High-order and efficient methods for the vorticity formulation of the Euler equations. Zbl 0815.76068
Lowengrub, J. S.; Shelley, M. J.; Merriman, B.
11
1993
Focusing of an elongated hole in porous medium flow. Zbl 0989.35082
Angenent, S. B.; Aronson, D. G.; Betelu, S. I.; Lowengrub, J. S.
10
2001
Analysis of the diffuse-domain method for solving PDEs in complex geometries. Zbl 1328.65223
Lervåg, Karl Yngve; Lowengrub, John
10
2015
A continuum model of colloid-stabilized interfaces. Zbl 1308.76159
Aland, Sebastian; Lowengrub, John; Voigt, Axel
10
2011
The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems. Zbl 1406.92330
Wu, Min; Frieboes, Hermann B.; McDougall, Steven R.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
8
2013
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
8
2011
Feedback regulation in a cancer stem cell model can cause an Allee effect. Zbl 1341.92029
Konstorum, Anna; Hillen, Thomas; Lowengrub, John
8
2016
Surface phase separation and flow in a simple model of multicomponent drops and vesicles. Zbl 1153.76441
Lowengrub, J. S.; Xu, J-J.; Voigt, A.
8
2007
Convergence of a point vortex method for vortex sheets. Zbl 0799.76062
Hou, Thomas Y.; Lowengrub, John; Krasny, Robert
7
1991
Topological transitions in liquid/liquid interfaces. Zbl 0929.35191
Lowengrub, J. S.; Goodman, J.; Lee, H.; Longmire, E. K.; Shelley, M. J.; Truskinovsky, L.
7
1999
Numerical simulation of endocytosis: viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules. Zbl 1351.76067
Lowengrub, John; Allard, Jun; Aland, Sebastian
7
2016
Spatial and temporal stability issues for interfacial flows with surface tension. Zbl 0816.76050
Beale, J. T.; Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
7
1994
Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach. Zbl 1303.92042
Chen, Ying; Lowengrub, John S.
6
2014
An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations. Zbl 1349.74360
Guan, Zhen; Heinonen, Vili; Lowengrub, John; Wang, Cheng; Wise, Steven M.
6
2016
Modeling an elastic fingering instability in a reactive Hele-Shaw flow. Zbl 1343.76011
He, Ong; Lowengrub, John; Belmonte, Andrew
6
2012
Computation of a shrinking interface in a Hele-Shaw cell. Zbl 1396.76029
Zhao, Meng; Li, Xiaofan; Ying, Wenjun; Belmonte, Andrew; Lowengrub, John; Li, Shuwang
5
2018
An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. Zbl 1357.65271
Zheng, Xiaoming; Lowengrub, John
5
2016
Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014
Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel
5
2013
Nonlinear simulations of elastic fingering in a Hele-Shaw cell. Zbl 1382.76071
Zhao, Meng; Belmonte, Andrew; Li, Shuwang; Li, Xiaofan; Lowengrub, John
5
2016
Nonlinear studies of tumor morphological stability using a two-fluid flow model. Zbl 1407.76031
Pham, Kara; Turian, Emma; Liu, Kai; Li, Shuwang; Lowengrub, John
4
2018
The effect of spontaneous curvature on a two-phase vesicle. Zbl 1325.92028
Cox, Geoffrey; Lowengrub, John
4
2015
The convergence of an exact desingularization for vortex methods. Zbl 0769.76045
Hou, T. Y.; Lowengrub, J.; Shelley, M. J.
4
1993
The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the cellular Potts model. Zbl 1411.92140
Li, Jonathan F.; Lowengrub, John
3
2014
Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering. Zbl 0935.76068
Caflisch, Russel E.; Hou, Thomas Y.; Lowengrub, John
3
1999
Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420
Li, Shuwang; Lowengrub, John; Voigt, Axel
3
2012
Axisymmetric multicomponent vesicles: a comparison of hydrodynamic and geometric models. Zbl 1310.92018
Sohn, Jinsun; Li, Shuwang; Li, Xiaofan; Lowengrub, John S.
3
2012
Nonlinear simulation of the effect of microenvironment on tumor growth. Zbl 1451.92102
Macklin, Paul; Lowengrub, John
3
2007
A diffuse domain method for two-phase flows with large density ratio in complex geometries. Zbl 1461.76447
Guo, Zhenlin; Yu, Fei; Lin, Ping; Wise, Steven; Lowengrub, John
3
2020
Energy stable multigrid method for local and non-local hydrodynamic models for freezing. Zbl 1423.80022
Baskaran, Arvind; Guan, Zhen; Lowengrub, John
2
2016
Exact desingularization and local regridding for vortex methods. Zbl 0825.76647
Hou, T. Y.; Lowengrub, J.; Shelley, M. J.
2
1991
Stability of boundary integral methods for water waves. Zbl 0885.35095
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
2
1997
An efficient rescaling algorithm for simulating the evolution of multiple elastically stressed precipitates. Zbl 1373.74079
Barua, Amlan K.; Li, Shuwang; Feng, Hualong; Li, Xiaofan; Lowengrub, John
2
2013
Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy. Zbl 1448.92064
Pham, Kara; Chauviere, Arnaud; Hatzikirou, Haralambos; Li, Xiangrong; Byrne, Helen M.; Cristini, Vittorio; Lowengrub, John
2
2012
Morphological stability of an elastic tumor-host interface. Zbl 1451.74171
Turian, Emma; Liu, Kai; Lowengrub, John; Li, Shuwang
1
2019
Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation. Zbl 1422.65241
Franco-de-Leon, Mariano; Lowengrub, John
1
2019
Complex far-field geometries determine the stability of solid tumor growth with chemotaxis. Zbl 1439.92044
Lu, Min-Jhe; Liu, Chun; Lowengrub, John; Li, Shuwang
1
2020
Three-dimensional spatiotemporal modeling of colon cancer organoids reveals that multimodal control of stem cell self-renewal is a critical determinant of size and shape in early stages of tumor growth. Zbl 1394.92068
Yan, Huaming; Konstorum, Anna; Lowengrub, John S.
1
2018
Nonlinear limiting dynamics of a shrinking interface in a Hele-Shaw cell. Zbl 1461.76143
Zhao, Meng; Niroobakhsh, Zahra; Lowengrub, John; Li, Shuwang
1
2021
Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries. Zbl 1453.65306
Yu, Fei; Guo, Zhenlin; Lowengrub, John
1
2020
Nonlinear limiting dynamics of a shrinking interface in a Hele-Shaw cell. Zbl 1461.76143
Zhao, Meng; Niroobakhsh, Zahra; Lowengrub, John; Li, Shuwang
1
2021
A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276
Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica
19
2020
A diffuse domain method for two-phase flows with large density ratio in complex geometries. Zbl 1461.76447
Guo, Zhenlin; Yu, Fei; Lin, Ping; Wise, Steven; Lowengrub, John
3
2020
Complex far-field geometries determine the stability of solid tumor growth with chemotaxis. Zbl 1439.92044
Lu, Min-Jhe; Liu, Chun; Lowengrub, John; Li, Shuwang
1
2020
Higher-order accurate diffuse-domain methods for partial differential equations with Dirichlet boundary conditions in complex, evolving geometries. Zbl 1453.65306
Yu, Fei; Guo, Zhenlin; Lowengrub, John
1
2020
Morphological stability of an elastic tumor-host interface. Zbl 1451.74171
Turian, Emma; Liu, Kai; Lowengrub, John; Li, Shuwang
1
2019
Boundary integral methods for dispersive equations, Airy flow and the modified Korteweg de Vries equation. Zbl 1422.65241
Franco-de-Leon, Mariano; Lowengrub, John
1
2019
A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis. Zbl 1398.65208
Feng, Wenqiang; Guan, Zhen; Lowengrub, John; Wang, Cheng; Wise, Steven M.; Chen, Ying
22
2018
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. Zbl 1395.65014
Chen, Ying; Lowengrub, John; Shen, Jie; Wang, Cheng; Wise, Steven
16
2018
A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids. Zbl 1380.65402
Feng, Wenqiang; Guo, Zhenlin; Lowengrub, John S.; Wise, Steven M.
15
2018
Computation of a shrinking interface in a Hele-Shaw cell. Zbl 1396.76029
Zhao, Meng; Li, Xiaofan; Ying, Wenjun; Belmonte, Andrew; Lowengrub, John; Li, Shuwang
5
2018
Nonlinear studies of tumor morphological stability using a two-fluid flow model. Zbl 1407.76031
Pham, Kara; Turian, Emma; Liu, Kai; Li, Shuwang; Lowengrub, John
4
2018
Three-dimensional spatiotemporal modeling of colon cancer organoids reveals that multimodal control of stem cell self-renewal is a critical determinant of size and shape in early stages of tumor growth. Zbl 1394.92068
Yan, Huaming; Konstorum, Anna; Lowengrub, John S.
1
2018
Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations. Zbl 1387.65087
Guan, Zhen; Lowengrub, John; Wang, Cheng
23
2017
Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes. Zbl 1439.76121
Guo, Z.; Lin, P.; Lowengrub, J.; Wise, S. M.
19
2017
Feedback regulation in a cancer stem cell model can cause an Allee effect. Zbl 1341.92029
Konstorum, Anna; Hillen, Thomas; Lowengrub, John
8
2016
Numerical simulation of endocytosis: viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules. Zbl 1351.76067
Lowengrub, John; Allard, Jun; Aland, Sebastian
7
2016
An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations. Zbl 1349.74360
Guan, Zhen; Heinonen, Vili; Lowengrub, John; Wang, Cheng; Wise, Steven M.
6
2016
An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. Zbl 1357.65271
Zheng, Xiaoming; Lowengrub, John
5
2016
Nonlinear simulations of elastic fingering in a Hele-Shaw cell. Zbl 1382.76071
Zhao, Meng; Belmonte, Andrew; Li, Shuwang; Li, Xiaofan; Lowengrub, John
5
2016
Energy stable multigrid method for local and non-local hydrodynamic models for freezing. Zbl 1423.80022
Baskaran, Arvind; Guan, Zhen; Lowengrub, John
2
2016
Analysis of the diffuse-domain method for solving PDEs in complex geometries. Zbl 1328.65223
Lervåg, Karl Yngve; Lowengrub, John
10
2015
The effect of spontaneous curvature on a two-phase vesicle. Zbl 1325.92028
Cox, Geoffrey; Lowengrub, John
4
2015
Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations. Zbl 1349.65298
Guan, Zhen; Lowengrub, John S.; Wang, Cheng; Wise, Steven M.
71
2014
A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law. Zbl 1349.76057
Guo, Z.; Lin, P.; Lowengrub, J. S.
38
2014
Diffuse interface models of locally inextensible vesicles in a viscous fluid. Zbl 1349.76933
Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel
28
2014
Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach. Zbl 1303.92042
Chen, Ying; Lowengrub, John S.
6
2014
The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the cellular Potts model. Zbl 1411.92140
Li, Jonathan F.; Lowengrub, John
3
2014
Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation. Zbl 1401.82046
Baskaran, A.; Lowengrub, J. S.; Wang, C.; Wise, S. M.
80
2013
Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. Zbl 1349.65265
Baskaran, Arvind; Hu, Zhengzheng; Lowengrub, John S.; Wang, Cheng; Wise, Steven M.; Zhou, Peng
58
2013
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
34
2013
The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems. Zbl 1406.92330
Wu, Min; Frieboes, Hermann B.; McDougall, Steven R.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
8
2013
Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014
Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel
5
2013
An efficient rescaling algorithm for simulating the evolution of multiple elastically stressed precipitates. Zbl 1373.74079
Barua, Amlan K.; Li, Shuwang; Feng, Hualong; Li, Xiaofan; Lowengrub, John
2
2013
Multispecies model of cell lineages and feedback control in solid tumors. Zbl 1397.92381
Youssefpour, H.; Li, X.; Lander, A. D.; Lowengrub, J. S.
12
2012
Modeling an elastic fingering instability in a reactive Hele-Shaw flow. Zbl 1343.76011
He, Ong; Lowengrub, John; Belmonte, Andrew
6
2012
Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420
Li, Shuwang; Lowengrub, John; Voigt, Axel
3
2012
Axisymmetric multicomponent vesicles: a comparison of hydrodynamic and geometric models. Zbl 1310.92018
Sohn, Jinsun; Li, Shuwang; Li, Xiaofan; Lowengrub, John S.
3
2012
Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy. Zbl 1448.92064
Pham, Kara; Chauviere, Arnaud; Hatzikirou, Haralambos; Li, Xiangrong; Byrne, Helen M.; Cristini, Vittorio; Lowengrub, John
2
2012
A diffuse-interface method for two-phase flows with soluble surfactants. Zbl 1428.76210
Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel
71
2011
An adaptive multigrid algorithm for simulating solid tumor growth using mixture models. Zbl 1211.65123
Wise, S. M.; Lowengrub, J. S.; Cristini, V.
38
2011
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. Zbl 1316.65089
Leung, Shingyu; Lowengrub, John; Zhao, Hongkai
34
2011
A continuum model of colloid-stabilized interfaces. Zbl 1308.76159
Aland, Sebastian; Lowengrub, John; Voigt, Axel
10
2011
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
8
2011
Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046
Lowengrub, J. S.; Frieboes, H. B.; Jin, F.; Chuang, Y-L; Li, X.; Macklin, P.; Wise, S. M.; Cristini, V.
128
2010
Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis. Zbl 1406.92049
Frieboes, Hermann B.; Jin, Fang; Chuang, Yao-Li; Wise, Steven M.; Lowengrub, John S.; Cristini, Vittorio
37
2010
Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200
Aland, S.; Lowengrub, J.; Voigt, A.
21
2010
Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053
Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S.
19
2010
An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027
Wise, S. M.; Wang, Cheng; Lowengrub, J. S.
194
2009
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation. Zbl 1171.82015
Hu, Z.; Wise, S. M.; Wang, C.; Lowengrub, J. S.
152
2009
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039
Cristini, Vittorio; Li, Xiangrong; Lowengrub, John S.; Wise, Steven M.
96
2009
Multiscale modelling and nonlinear simulation of vascular tumour growth. Zbl 1311.92040
Macklin, Paul; McDougall, Steven; Anderson, Alexander R. A.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
69
2009
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
59
2009
A new phase-field model for strongly anisotropic systems. Zbl 1186.80014
Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven
53
2009
A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel
43
2009
Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062
Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel
13
2009
Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method. Zbl 1398.92135
Wise, S. M.; Lowengrub, J. S.; Frieboes, H. B.; Cristini, Vittorio
137
2008
A new ghost cell/level set method for moving boundary problems: application to tumor growth. Zbl 1203.65144
Macklin, Paul; Lowengrub, John S.
23
2008
Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method. Zbl 1310.82044
Wise, Steven; Kim, Junseok; Lowengrub, John
77
2007
Nonlinear three-dimensional simulation of solid tumor growth. Zbl 1124.92022
Li, Xiangrong; Cristini, Vittorio; Nie, Qing; Lowengrub, John S.
19
2007
A rescaling scheme with application to the long-time simulation of viscous fingering in a Hele-Shaw cell. Zbl 1343.76048
Li, Shuwang; Lowengrub, John S.; Leo, Perry H.
15
2007
Surface phase separation and flow in a simple model of multicomponent drops and vesicles. Zbl 1153.76441
Lowengrub, J. S.; Xu, J-J.; Voigt, A.
8
2007
Nonlinear simulation of the effect of microenvironment on tumor growth. Zbl 1451.92102
Macklin, Paul; Lowengrub, John
3
2007
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
80
2006
An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids. Zbl 1160.76377
Yang, Xiaofeng; James, Ashley J.; Lowengrub, John; Zheng, Xiaoming; Cristini, Vittorio
50
2006
An improved geometry-aware curvature discretization for level set methods: Application to tumor growth. Zbl 1089.92024
Macklin, Paul; Lowengrub, John
27
2006
Numerical evidence of nonuniqueness in the evolution of vortex sheets. Zbl 1124.76010
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi
21
2006
Phase field modeling and simulation of three-phase flows. Zbl 1100.35088
Kim, Junseok; Lowengrub, John
63
2005
Adaptive unstructured volume remeshing. II: Application to two- and three-dimensional level-set simulations of multiphase flow. Zbl 1075.65120
Zheng, Xiaoming; Lowengrub, John; Anderson, Anthony; Cristini, Vittorio
36
2005
Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth. Zbl 1067.65111
Macklin, Paul; Lowengrub, John
35
2005
Conservative multigrid methods for Cahn–Hilliard fluids. Zbl 1109.76348
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
127
2004
A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant. Zbl 1061.76062
James, Ashley J.; Lowengrub, John
76
2004
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
31
2004
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
93
2003
Modeling pinchoff and reconnection in a Hele-Shaw cell. I: The models and their calibration. Zbl 1184.76316
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J.
57
2002
Modeling pinchoff and reconnection in a Hele-Shaw cell. II: Analysis and simulation in the nonlinear regime. Zbl 1184.76317
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J.
45
2002
Boundary integral methods for multicomponent fluids and multiphase materials. Zbl 1046.76029
Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
64
2001
Focusing of an elongated hole in porous medium flow. Zbl 0989.35082
Angenent, S. B.; Aronson, D. G.; Betelu, S. I.; Lowengrub, J. S.
10
2001
Microstructural evolution in orthotropic elastic media. Zbl 0960.74076
Leo, P. H.; Lowengrub, J. S.; Nie, Qing
19
2000
Topological transitions in liquid/liquid interfaces. Zbl 0929.35191
Lowengrub, J. S.; Goodman, J.; Lee, H.; Longmire, E. K.; Shelley, M. J.; Truskinovsky, L.
7
1999
Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering. Zbl 0935.76068
Caflisch, Russel E.; Hou, Thomas Y.; Lowengrub, John
3
1999
Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Zbl 0927.76007
Lowengrub, J.; Truskinovsky, L.
299
1998
The long-time motion of vortex sheets with surface tension. Zbl 1185.76545
Hou, T. Y.; Lowengrub, J. S.; Shelly, M. J.
64
1997
Microstructural evolution in inhomogeneous elastic media. Zbl 0880.73050
Jou, H.-J.; Leo, P. H.; Lowengrub, J. S.
39
1997
Stability of boundary integral methods for water waves. Zbl 0885.35095
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
2
1997
Convergence of a boundary integral method for water waves. Zbl 0858.76046
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
30
1996
Removing the stiffness from interfacial flows with surface tension. Zbl 0810.76095
Hou, Thomas Y.; Lowengrub, John S.; Shelley, Michael J.
196
1994
Spatial and temporal stability issues for interfacial flows with surface tension. Zbl 0816.76050
Beale, J. T.; Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
7
1994
Growth rates for the linearized motion of fluid interfaces away from equilibrium. Zbl 0796.76041
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John S.
58
1993
High-order and efficient methods for the vorticity formulation of the Euler equations. Zbl 0815.76068
Lowengrub, J. S.; Shelley, M. J.; Merriman, B.
11
1993
The convergence of an exact desingularization for vortex methods. Zbl 0769.76045
Hou, T. Y.; Lowengrub, J.; Shelley, M. J.
4
1993
Convergence of a point vortex method for vortex sheets. Zbl 0799.76062
Hou, Thomas Y.; Lowengrub, John; Krasny, Robert
7
1991
Exact desingularization and local regridding for vortex methods. Zbl 0825.76647
Hou, T. Y.; Lowengrub, J.; Shelley, M. J.
2
1991
Convergence of the point vortex method for the 2-D Euler equations. Zbl 0694.76013
Goodman, Jonathan; Hou, Thomas Y.; Lowengrub, John
47
1990
Convergence of the point vortex method for the 3-D Euler equations. Zbl 0856.76059
Hou, Thomas Y.; Lowengrub, John
11
1990
Convergence of the vortex method for vortex sheets. Zbl 0676.76023
Caflisch, Russel E.; Lowengrub, John S.
15
1989
all top 5

Cited by 2,469 Authors

67 Lowengrub, John Samuel
56 Kim, Junseok
52 Yang, Xiaofeng
42 Wise, Steven M.
40 Wang, Cheng
34 Garcke, Harald
24 Yang, Junxiang
23 Lee, Hyun Geun
23 Li, Yibao
23 Wang, Qi
22 Shen, Jie
20 Liu, Chun
20 Zhao, Jia
19 Grasselli, Maurizio
19 Miranville, Alain M.
18 Nürnberg, Robert
18 Voigt, Axel
16 Chen, Wenbin
16 Gancedo, Francisco
16 Han, Daozhi
15 Chaplain, Mark A. J.
15 Du, Qiang
15 Hou, Thomas Yizhao
15 Lam, Kei Fong
15 Li, Shuwang
15 Rocca, Elisabetta
14 Ambrose, David M.
14 Oden, John Tinsley
14 Shelley, Michael J.
14 Shin, Jaemin
14 Wang, Xiaoming
13 Ceniceros, Hector D.
13 Cordoba, Diego
13 Cristini, Vittorio
13 Kou, Jisheng
13 Zhang, Zhengru
12 Barrett, John W.
12 Jeong, Darae
12 Lai, Mingchih
12 Qiao, Zhonghua
12 Sun, Shuyu
11 Abels, Helmut
11 Giorgini, Andrea
11 Li, Zhilin
10 Colli, Pierluigi
10 Jia, Hongen
10 Lin, Ping
10 Nie, Qing
10 Perthame, Benoît
10 Signori, Andrea
10 Wu, Hao
9 Aland, Sebastian
9 Dehghan Takht Fooladi, Mehdi
9 Hu, Bei
9 Kahle, Christian
9 Lee, Chaeyoung
9 Lee, June-Yub
9 Li, Xiao
9 Walker, Shawn W.
8 Anderson, Alexander R. A.
8 Cheng, Kelong
8 Feng, Wenqiang
8 Gal, Ciprian Gheorghe Sorin
8 Gong, Yuezheng
8 Hao, Wenrui
8 He, Xiaoming
8 Ju, Lili
8 Kotschote, Matthias
8 Li, Xiaoli
8 Mikula, Karol
8 Nochetto, Ricardo Horacio
8 van der Zee, Kristoffer George
8 Wang, Liqun
8 Xu, Yan
8 Zheng, Xiaoming
7 Beale, J. Thomas
7 Byrne, Helen Mary
7 Choi, Yongho
7 Fabrizio, Mauro
7 Feng, Xinlong
7 Frieboes, Hermann B.
7 Guo, Ruihan
7 Guo, Zhenlin
7 Helsing, Johan
7 Hou, Songming
7 Jabin, Pierre-Emmanuel
7 Lima, Ernesto A. B. F.
7 Mauri, Roberto
7 Mei, Liquan
7 Preziosi, Luigi
7 Siegel, Michael
7 Styles, Vanessa
7 Tornberg, Anna-Karin
7 Xu, Chuanju
7 Yue, Pengtao
7 Zhao, Hongkai
6 Balashov, Vladislav
6 Calo, Victor Manuel
6 Chen, Chuanjun
6 Chen, Lizhen
...and 2,369 more Authors
all top 5

Cited in 216 Serials

358 Journal of Computational Physics
75 Computer Methods in Applied Mechanics and Engineering
62 Journal of Scientific Computing
61 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
58 Journal of Theoretical Biology
50 Journal of Fluid Mechanics
50 Journal of Computational and Applied Mathematics
49 Computers and Fluids
46 Physics of Fluids
42 Computers & Mathematics with Applications
36 SIAM Journal on Scientific Computing
30 Bulletin of Mathematical Biology
30 Communications in Computational Physics
29 Applied Numerical Mathematics
28 Journal of Mathematical Biology
23 Mathematics of Computation
21 Journal of Differential Equations
20 SIAM Journal on Numerical Analysis
18 Archive for Rational Mechanics and Analysis
17 Numerische Mathematik
17 Physica D
16 Applied Mathematics and Computation
15 Engineering Analysis with Boundary Elements
14 Nonlinear Analysis. Real World Applications
14 Discrete and Continuous Dynamical Systems. Series B
13 Mathematical Methods in the Applied Sciences
13 Advances in Computational Mathematics
13 European Journal of Mechanics. B. Fluids
13 Advances in Applied Mathematics and Mechanics
12 Applied Mathematics and Optimization
12 Applied Mathematics Letters
12 SIAM Journal on Mathematical Analysis
12 Communications in Nonlinear Science and Numerical Simulation
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 European Journal of Applied Mathematics
11 SIAM Journal on Applied Mathematics
11 Discrete and Continuous Dynamical Systems
10 International Journal for Numerical Methods in Fluids
10 Journal of Mathematical Analysis and Applications
10 Journal of Nonlinear Science
9 Communications in Mathematical Physics
9 Journal of Engineering Mathematics
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Discrete and Continuous Dynamical Systems. Series S
8 Journal of the Mechanics and Physics of Solids
8 Nonlinearity
8 Mathematics and Computers in Simulation
8 Applied Mathematical Modelling
8 Journal of Mathematical Fluid Mechanics
7 Computational Mechanics
7 Numerical Methods for Partial Differential Equations
7 Numerical Algorithms
7 Computational and Applied Mathematics
7 Mathematical Problems in Engineering
7 Archives of Computational Methods in Engineering
7 Multiscale Modeling & Simulation
7 Mathematical Biosciences and Engineering
6 Communications in Partial Differential Equations
6 Computing and Visualization in Science
6 Interfaces and Free Boundaries
6 Communications on Pure and Applied Analysis
5 Applicable Analysis
5 Physica A
5 Quarterly of Applied Mathematics
5 Chinese Annals of Mathematics. Series B
5 Calculus of Variations and Partial Differential Equations
5 Mathematical Modelling of Natural Phenomena
5 East Asian Journal on Applied Mathematics
4 Journal of Statistical Physics
4 BIT
4 International Journal for Numerical Methods in Engineering
4 Inventiones Mathematicae
4 Journal of Functional Analysis
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Journal of the American Mathematical Society
4 Asymptotic Analysis
4 Proceedings of the National Academy of Sciences of the United States of America
4 SIAM Review
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Annals of Mathematics. Second Series
4 Computational Geosciences
4 The ANZIAM Journal
4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 AIMS Mathematics
3 Communications on Pure and Applied Mathematics
3 International Journal of Engineering Science
3 Journal of Mathematical Physics
3 SIAM Journal on Control and Optimization
3 Mathematical and Computer Modelling
3 Japan Journal of Industrial and Applied Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Dynamics and Differential Equations
3 Continuum Mechanics and Thermodynamics
3 Russian Journal of Numerical Analysis and Mathematical Modelling
3 Living Reviews in Relativity
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Milan Journal of Mathematics
3 International Journal of Advances in Engineering Sciences and Applied Mathematics
...and 116 more Serials
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Cited in 41 Fields

933 Fluid mechanics (76-XX)
875 Partial differential equations (35-XX)
835 Numerical analysis (65-XX)
372 Biology and other natural sciences (92-XX)
178 Mechanics of deformable solids (74-XX)
150 Statistical mechanics, structure of matter (82-XX)
69 Classical thermodynamics, heat transfer (80-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
38 Dynamical systems and ergodic theory (37-XX)
31 Probability theory and stochastic processes (60-XX)
21 Global analysis, analysis on manifolds (58-XX)
19 Integral equations (45-XX)
19 Geophysics (86-XX)
18 Differential geometry (53-XX)
17 Computer science (68-XX)
17 Optics, electromagnetic theory (78-XX)
13 Ordinary differential equations (34-XX)
12 Statistics (62-XX)
9 Real functions (26-XX)
9 Mechanics of particles and systems (70-XX)
7 Systems theory; control (93-XX)
5 Operator theory (47-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Functions of a complex variable (30-XX)
4 Approximations and expansions (41-XX)
3 General and overarching topics; collections (00-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Quantum theory (81-XX)
3 Relativity and gravitational theory (83-XX)
3 Operations research, mathematical programming (90-XX)
3 Information and communication theory, circuits (94-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Topological groups, Lie groups (22-XX)
2 Measure and integration (28-XX)
2 Functional analysis (46-XX)
2 Manifolds and cell complexes (57-XX)
1 Algebraic geometry (14-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mathematics education (97-XX)

Citations by Year