# zbMATH — the first resource for mathematics

## Sethian, James A.

Compute Distance To:
 Author ID: sethian.james-a Published as: Sethian, J. A.; Sethian, James A.; Sethian, James External Links: IdRef · MGP · Wikidata · dblp
 Documents Indexed: 85 Publications since 1983, including 3 Books Biographic References: 1 Publication
all top 5

#### Co-Authors

 20 single-authored 7 Adalsteinsson, David 7 Garzon, Maria Luisa 5 Malladi, Ravi 5 Saye, Robert I. 4 Gray, Leonard J. 4 Vladimirsky, Alexander 3 Brunet, Jean-Philippe 3 Chopp, David L. 3 Fomel, S. B. 3 Greenberg, Adam 3 Mesirov, Jill P. 3 Osher, Stanley Joel 3 Sakai, Shinri 3 Yu, Jiun-Der 2 Cameron, Maria Kourkina 2 Concus, Paul 2 Donatelli, Jeffrey J. 2 Hogea, Cosmina S. 2 Johansson, August 2 Kimmel, Ron 2 Murray, Bruce T. 2 Sarti, Alessandro 2 Strain, John A. 2 Wilkening, Jon A. 2 Zwart, Peter H. 1 Barth, Timothy J. 1 Borucki, Len 1 Colella, Phillip 1 Deckelnick, Klaus 1 Elliott, Charles M. 1 Gustafson, Karl Edwin 1 Huh, Jae-Seok 1 Kornhuber, Ralf 1 Kostlan, Eric 1 Ligocki, Terry J. 1 Rhee, C. W. 1 Salem, James B. 1 Shan, Ying 1 Smereka, Peter 1 Wiegmann, Andreas 1 Zhu, Jingyi
all top 5

#### Serials

 25 Journal of Computational Physics 12 Proceedings of the National Academy of Sciences of the United States of America 3 Interfaces and Free Boundaries 2 Cambridge Monographs on Applied and Computational Mathematics 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 SIAM Journal on Numerical Analysis 1 Acta Mathematica Universitatis Comenianae. New Series 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Journal of Knot Theory and its Ramifications 1 Journal of Mathematical Imaging and Vision 1 Experimental Mathematics 1 International Journal of Computer Vision 1 Milan Journal of Mathematics 1 Oberwolfach Reports 1 FDMP. Fluid Dynamics & Materials Processing 1 Science
all top 5

#### Fields

 45 Numerical analysis (65-XX) 34 Fluid mechanics (76-XX) 32 Partial differential equations (35-XX) 12 Mechanics of deformable solids (74-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Computer science (68-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 3 Optics, electromagnetic theory (78-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

74 Publications have been cited 5,286 times in 3,091 Documents Cited by Year
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Zbl 0659.65132
Osher, Stanley; Sethian, James A.
1988
Level set methods and fast marching methods. Evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science. Zbl 0973.76003
Sethian, J. A.
1999
Advances in fast marching and level set methods for propagating interfaces. Zbl 0929.65066
Sethian, J. A.
1999
A fast marching level set method for monotonically advancing fronts. Zbl 0852.65055
Sethian, J. A.
1996
Level set methods for fluid interfaces. Zbl 1041.76057
Sethian, J. A.; Smereka, Peter
2003
Structural boundary design via level set and immersed interface methods. Zbl 0994.74082
Sethian, J. A.; Wiegmann, Andreas
2000
Level set methods. Evolving interfaces in geometry, fluid mechanics, computer vision, and materials science. Zbl 0859.76004
Sethian, J. A.
1996
Fast marching methods. Zbl 0926.65106
Sethian, J. A.
1999
The fast construction of extension velocities in level set methods. Zbl 0919.65074
1999
A fast level set method for propagating interfaces. Zbl 0823.65137
1995
Computing interface motion in compressible gas dynamics. Zbl 0758.76044
Mulder, W.; Osher, S.; Sethian, James A.
1992
Evolution, implementation, and application of level set and fast marching methods for advancing fronts. Zbl 0988.65095
Sethian, J. A.
2001
Computing geodesic paths on manifolds. Zbl 0908.65049
Kimmel, R.; Sethian, J. A.
1998
Curvature and the evolution of fronts. Zbl 0619.76087
Sethian, J. A.
1985
Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains. Zbl 0911.65091
Barth, Timothy J.; Sethian, James A.
1998
Crystal growth and dendritic solidification. Zbl 0752.65088
Sethian, James A.; Strain, John
1992
Ordered upwind methods for static Hamilton–Jacobi equations: Theory and algorithms. Zbl 1040.65088
2003
Transport and diffusion of material quantities on propagating interfaces via level set methods. Zbl 1047.76093
2003
Ordered upwind methods for static Hamilton-Jacobi equations. Zbl 1002.65112
2001
Fast methods for the eikonal and related Hamilton-Jacobi equations on unstructured meshes. Zbl 0963.65076
2000
Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws. Zbl 0691.65082
Sethian, J. A.
1990
Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method. Zbl 1100.92029
Hogea, Cosmina S.; Murray, Bruce T.; Sethian, James A.
2006
The Voronoi implicit interface method for computing multiphase physics. Zbl 1256.65082
Saye, Robert I.; Sethian, James A.
2011
Adaptive fast marching and level set methods for propagating interfaces. Zbl 0930.65099
Sethian, J. A.
1998
Motion by intrinsic Laplacian of curvature. Zbl 0938.65144
Chopp, David L.; Sethian, J. A.
1999
A level set approach to a unified model for etching, deposition, and lithography. III: Redeposition, reemission, surface diffusion, and complex simulations. Zbl 0952.65113
1997
Image processing via level set curvature flow. Zbl 1023.68689
1995
Theory, algorithms, and applications of level set methods for propagating interfaces. Zbl 0868.65059
Sethian, James A.
1996
Fast-phase space computation of multiple arrivals. Zbl 1002.65113
Fomel, S.; Sethian, J. A.
2002
A level set approach to a unified model for etching, deposition, and lithography. I: Algorithms and two-dimensional simulations. Zbl 0864.65086
1995
Dynamical behaviour of a premixed turbulent open V-flame. Zbl 0855.76092
Rhee, C. W.; Talbot, L.; Sethian, J. A.
1995
Subjective surfaces: A method for completing missing boundaries. Zbl 0966.68214
Sarti, Alessandro; Malladi, Ravi; Sethian, James A.
2000
Subjective surfaces: A geometric model for boundary completion. Zbl 1012.68727
Sarti, Alessandro; Malladi, Ravi; Sethian, James A.
2002
Optimal algorithm for shape from shading and path planning. Zbl 0995.68101
Kimmel, Ron; Sethian, James A.
2001
Flow under curvature: Singularity formation, minimal surfaces, and geodesics. Zbl 0806.53004
Chopp, David L.; Sethian, James A.
1993
A level set approach to a unified model for etching, deposition, and lithography. II: Three-dimensional simulations. Zbl 0840.65131
1995
Validation study of vortex methods. Zbl 0632.76056
Sethian, J. A.
1988
Two-phase viscoelastic jetting. Zbl 1106.76050
Yu, Jiun-Der; Sakai, Shinri; Sethian, J. A.
2007
Projection methods coupled to level set interface techniques. Zbl 0751.76050
Zhu, Jingyi; Sethian, James
1992
Vortex methods and vortex motion. Zbl 0748.76010
Gustafson, Karl E. (ed.); Sethian, James A. (ed.)
1991
Turbulent combustion in open and closed vessels. Zbl 0594.76047
Sethian, James
1984
Advancing interfaces: Level set and fast marching methods. Zbl 0994.65090
Sethian, J. A.
2000
A coupled level set projection method applied to ink jet simulation. Zbl 1042.35059
Yu, Jiun-Der; Sakai, Shinri; Sethian, J. A.
2003
Multiscale modeling of membrane rearrangement, drainage, and rupture in evolving foams. Zbl 1355.74053
Saye, Robert I.; Sethian, James A.
2013
Numerical methods for propagating fronts. Zbl 0618.65128
Sethian, James A.
1987
A coupled quadrilateral grid level set projection method applied to ink jet simulation. Zbl 1087.76534
Yu, Jiun-Der; Sakai, Shinri; Sethian, James
2005
Numerical simulation of non-viscous liquid pinch-off using a coupled level set-boundary integral method. Zbl 1173.76030
Garzon, M.; Gray, L. J.; Sethian, J. A.
2009
Curvature flow and entropy conditions applied to grid generation. Zbl 0837.65134
Sethian, J. A.
1994
Solving partial differential equations on irregular domains with moving interfaces, with applications to superconformal electrodeposition in semiconductor manufacturing. Zbl 1141.82345
Sethian, J. A.; Shan, Ying
2008
An $$O(N\log N)$$ algorithm for shape modeling. Zbl 0858.65150
1996
A numerical model of stress driven grain boundary diffusion. Zbl 1117.74302
Sethian, J. A.; Wilkening, Jon
2004
Exact subgrid interface correction schemes for elliptic interface problems. Zbl 1205.74158
Huh, Jae-Seok; Sethian, James A.
2008
A coupled level set-boundary integral method for moving boundary simulations. Zbl 1099.35177
Garzon, M.; Adalsteinsson, D.; Gray, L.; Sethian, J. A.
2005
Algorithms for tracking interfaces in CFD and material science. Zbl 0875.76397
Sethian, J. A.
1995
A review of level set and fast marching methods for image processing. Zbl 1054.94501
Sethian, J. A.
2002
A three-dimensional coupled Nitsche and level set method for electrohydrodynamic potential flows in moving domains. Zbl 1351.76063
Johansson, A.; Garzon, M.; Sethian, J. A.
2016
Axisymmetric boundary integral formulation for a two-fluid system. Zbl 1253.76035
Garzon, Maria Luisa; Gray, Leonard J.; Sethian, James A.
2012
Fast algorithms for optimal control, anisotropic front propagation and multiple arrivals. Zbl 1001.65097
Sethian, J. A.
2002
Wave breaking over sloping beaches using a coupled boundary integral-level set method. Zbl 1370.76021
Garzon, Maria Luisa; Sethian, J. A.
2007
Seismic velocity estimation from time migration. Zbl 1127.86006
Cameron, M. K.; Fomel, S. B.; Sethian, J. A.
2007
Analysis of stress-driven grain boundary diffusion. I, II. Zbl 1060.35143
Wilkening, Jon; Borucki, Len; Sethian, J. A.
2004
Recognizing knots using simulated annealing. Zbl 0848.57010
Ligocki, Terry J.; Sethian, James A.
1994
Efficient algorithms for propagating interfaces: Fast marching methods and level set methods. Zbl 0968.65063
Sethian, J. A.
1998
Ordered upwind methods for hybrid control. Zbl 1050.93042
2002
Iterative phasing for fluctuation X-ray scattering. Zbl 1355.78023
Donatelli, Jeffrey J.; Zwart, Peter H.; Sethian, James A.
2015
Implementation of the level set method for continuum mechanics based tumor growth models. Zbl 1232.65122
Hogea, Cosmina S.; Murray, Bruce T.; Sethian, James A.
2005
The Voronoi implicit interface method and computational challenges in multiphase physics. Zbl 1255.76097
Saye, Robert I.; Sethian, James A.
2012
A review of level set methods to model interfaces moving under complex physics: recent challenges and advances. Zbl 1455.35205
Saye, Robert I.; Sethian, James A.
2020
Two-dimensional, viscous, incompressible flow in complex geometries on a massively parallel processor. Zbl 0753.76141
Sethian, J. A.; Brunet, Jean-Philippe; Greenberg, Adam; Mesirov, Jill P.
1992
Algorithms for computing crystal growth and dendritic solidification. Zbl 0825.76871
Sethian, James A.; Strain, John
1992
Physics and geometry of flow under curvature: Singularity formation, minimal surfaces, geodesics, and surface tension. Zbl 0815.49027
Sethian, James A.; Chopp, David L.
1994
Multiscale modelling of evolving foams. Zbl 1349.76852
Saye, R. I.; Sethian, J. A.
2016
Some numerical methods for discontinuous flows in porous media. Zbl 0538.76062
Colella, Phillip; Concus, Paul; Sethian, James
1983
Droplet and bubble pinch-off computations using level sets. Zbl 1426.76531
Garzon, Maria; Gray, L. J.; Sethian, James
2012
A review of level set methods to model interfaces moving under complex physics: recent challenges and advances. Zbl 1455.35205
Saye, Robert I.; Sethian, James A.
2020
A three-dimensional coupled Nitsche and level set method for electrohydrodynamic potential flows in moving domains. Zbl 1351.76063
Johansson, A.; Garzon, M.; Sethian, J. A.
2016
Multiscale modelling of evolving foams. Zbl 1349.76852
Saye, R. I.; Sethian, J. A.
2016
Iterative phasing for fluctuation X-ray scattering. Zbl 1355.78023
Donatelli, Jeffrey J.; Zwart, Peter H.; Sethian, James A.
2015
Multiscale modeling of membrane rearrangement, drainage, and rupture in evolving foams. Zbl 1355.74053
Saye, Robert I.; Sethian, James A.
2013
Axisymmetric boundary integral formulation for a two-fluid system. Zbl 1253.76035
Garzon, Maria Luisa; Gray, Leonard J.; Sethian, James A.
2012
The Voronoi implicit interface method and computational challenges in multiphase physics. Zbl 1255.76097
Saye, Robert I.; Sethian, James A.
2012
Droplet and bubble pinch-off computations using level sets. Zbl 1426.76531
Garzon, Maria; Gray, L. J.; Sethian, James
2012
The Voronoi implicit interface method for computing multiphase physics. Zbl 1256.65082
Saye, Robert I.; Sethian, James A.
2011
Numerical simulation of non-viscous liquid pinch-off using a coupled level set-boundary integral method. Zbl 1173.76030
Garzon, M.; Gray, L. J.; Sethian, J. A.
2009
Solving partial differential equations on irregular domains with moving interfaces, with applications to superconformal electrodeposition in semiconductor manufacturing. Zbl 1141.82345
Sethian, J. A.; Shan, Ying
2008
Exact subgrid interface correction schemes for elliptic interface problems. Zbl 1205.74158
Huh, Jae-Seok; Sethian, James A.
2008
Two-phase viscoelastic jetting. Zbl 1106.76050
Yu, Jiun-Der; Sakai, Shinri; Sethian, J. A.
2007
Wave breaking over sloping beaches using a coupled boundary integral-level set method. Zbl 1370.76021
Garzon, Maria Luisa; Sethian, J. A.
2007
Seismic velocity estimation from time migration. Zbl 1127.86006
Cameron, M. K.; Fomel, S. B.; Sethian, J. A.
2007
Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method. Zbl 1100.92029
Hogea, Cosmina S.; Murray, Bruce T.; Sethian, James A.
2006
A coupled quadrilateral grid level set projection method applied to ink jet simulation. Zbl 1087.76534
Yu, Jiun-Der; Sakai, Shinri; Sethian, James
2005
A coupled level set-boundary integral method for moving boundary simulations. Zbl 1099.35177
Garzon, M.; Adalsteinsson, D.; Gray, L.; Sethian, J. A.
2005
Implementation of the level set method for continuum mechanics based tumor growth models. Zbl 1232.65122
Hogea, Cosmina S.; Murray, Bruce T.; Sethian, James A.
2005
A numerical model of stress driven grain boundary diffusion. Zbl 1117.74302
Sethian, J. A.; Wilkening, Jon
2004
Analysis of stress-driven grain boundary diffusion. I, II. Zbl 1060.35143
Wilkening, Jon; Borucki, Len; Sethian, J. A.
2004
Level set methods for fluid interfaces. Zbl 1041.76057
Sethian, J. A.; Smereka, Peter
2003
Ordered upwind methods for static Hamilton–Jacobi equations: Theory and algorithms. Zbl 1040.65088
2003
Transport and diffusion of material quantities on propagating interfaces via level set methods. Zbl 1047.76093
2003
A coupled level set projection method applied to ink jet simulation. Zbl 1042.35059
Yu, Jiun-Der; Sakai, Shinri; Sethian, J. A.
2003
Fast-phase space computation of multiple arrivals. Zbl 1002.65113
Fomel, S.; Sethian, J. A.
2002
Subjective surfaces: A geometric model for boundary completion. Zbl 1012.68727
Sarti, Alessandro; Malladi, Ravi; Sethian, James A.
2002
A review of level set and fast marching methods for image processing. Zbl 1054.94501
Sethian, J. A.
2002
Fast algorithms for optimal control, anisotropic front propagation and multiple arrivals. Zbl 1001.65097
Sethian, J. A.
2002
Ordered upwind methods for hybrid control. Zbl 1050.93042
2002
Evolution, implementation, and application of level set and fast marching methods for advancing fronts. Zbl 0988.65095
Sethian, J. A.
2001
Ordered upwind methods for static Hamilton-Jacobi equations. Zbl 1002.65112
2001
Optimal algorithm for shape from shading and path planning. Zbl 0995.68101
Kimmel, Ron; Sethian, James A.
2001
Structural boundary design via level set and immersed interface methods. Zbl 0994.74082
Sethian, J. A.; Wiegmann, Andreas
2000
Fast methods for the eikonal and related Hamilton-Jacobi equations on unstructured meshes. Zbl 0963.65076
2000
Subjective surfaces: A method for completing missing boundaries. Zbl 0966.68214
Sarti, Alessandro; Malladi, Ravi; Sethian, James A.
2000
Advancing interfaces: Level set and fast marching methods. Zbl 0994.65090
Sethian, J. A.
2000
Level set methods and fast marching methods. Evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science. Zbl 0973.76003
Sethian, J. A.
1999
Advances in fast marching and level set methods for propagating interfaces. Zbl 0929.65066
Sethian, J. A.
1999
Fast marching methods. Zbl 0926.65106
Sethian, J. A.
1999
The fast construction of extension velocities in level set methods. Zbl 0919.65074
1999
Motion by intrinsic Laplacian of curvature. Zbl 0938.65144
Chopp, David L.; Sethian, J. A.
1999
Computing geodesic paths on manifolds. Zbl 0908.65049
Kimmel, R.; Sethian, J. A.
1998
Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains. Zbl 0911.65091
Barth, Timothy J.; Sethian, James A.
1998
Adaptive fast marching and level set methods for propagating interfaces. Zbl 0930.65099
Sethian, J. A.
1998
Efficient algorithms for propagating interfaces: Fast marching methods and level set methods. Zbl 0968.65063
Sethian, J. A.
1998
A level set approach to a unified model for etching, deposition, and lithography. III: Redeposition, reemission, surface diffusion, and complex simulations. Zbl 0952.65113
1997
A fast marching level set method for monotonically advancing fronts. Zbl 0852.65055
Sethian, J. A.
1996
Level set methods. Evolving interfaces in geometry, fluid mechanics, computer vision, and materials science. Zbl 0859.76004
Sethian, J. A.
1996
Theory, algorithms, and applications of level set methods for propagating interfaces. Zbl 0868.65059
Sethian, James A.
1996
An $$O(N\log N)$$ algorithm for shape modeling. Zbl 0858.65150
1996
A fast level set method for propagating interfaces. Zbl 0823.65137
1995
Image processing via level set curvature flow. Zbl 1023.68689
1995
A level set approach to a unified model for etching, deposition, and lithography. I: Algorithms and two-dimensional simulations. Zbl 0864.65086
1995
Dynamical behaviour of a premixed turbulent open V-flame. Zbl 0855.76092
Rhee, C. W.; Talbot, L.; Sethian, J. A.
1995
A level set approach to a unified model for etching, deposition, and lithography. II: Three-dimensional simulations. Zbl 0840.65131
1995
Algorithms for tracking interfaces in CFD and material science. Zbl 0875.76397
Sethian, J. A.
1995
Curvature flow and entropy conditions applied to grid generation. Zbl 0837.65134
Sethian, J. A.
1994
Recognizing knots using simulated annealing. Zbl 0848.57010
Ligocki, Terry J.; Sethian, James A.
1994
Physics and geometry of flow under curvature: Singularity formation, minimal surfaces, geodesics, and surface tension. Zbl 0815.49027
Sethian, James A.; Chopp, David L.
1994
Flow under curvature: Singularity formation, minimal surfaces, and geodesics. Zbl 0806.53004
Chopp, David L.; Sethian, James A.
1993
Computing interface motion in compressible gas dynamics. Zbl 0758.76044
Mulder, W.; Osher, S.; Sethian, James A.
1992
Crystal growth and dendritic solidification. Zbl 0752.65088
Sethian, James A.; Strain, John
1992
Projection methods coupled to level set interface techniques. Zbl 0751.76050
Zhu, Jingyi; Sethian, James
1992
Two-dimensional, viscous, incompressible flow in complex geometries on a massively parallel processor. Zbl 0753.76141
Sethian, J. A.; Brunet, Jean-Philippe; Greenberg, Adam; Mesirov, Jill P.
1992
Algorithms for computing crystal growth and dendritic solidification. Zbl 0825.76871
Sethian, James A.; Strain, John
1992
Vortex methods and vortex motion. Zbl 0748.76010
Gustafson, Karl E.; Sethian, James A.
1991
Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws. Zbl 0691.65082
Sethian, J. A.
1990
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Zbl 0659.65132
Osher, Stanley; Sethian, James A.
1988
Validation study of vortex methods. Zbl 0632.76056
Sethian, J. A.
1988
Numerical methods for propagating fronts. Zbl 0618.65128
Sethian, James A.
1987
Curvature and the evolution of fronts. Zbl 0619.76087
Sethian, J. A.
1985
Turbulent combustion in open and closed vessels. Zbl 0594.76047
Sethian, James
1984
Some numerical methods for discontinuous flows in porous media. Zbl 0538.76062
Colella, Phillip; Concus, Paul; Sethian, James
1983
all top 5

#### Cited by 5,132 Authors

 47 Osher, Stanley Joel 39 Gibou, Frédéric 31 Sethian, James A. 26 Mikula, Karol 23 Allaire, Grégoire 23 Fedkiw, Ronald P. 23 Wang, Michael Yu 22 Tsai, Yen-Hsi Richard 21 Lowengrub, John Samuel 20 Qian, Jianliang 19 Luo, Zhen 18 Leung, Shingyu 18 Udaykumar, Holavanahalli S. 18 Wei, Guowei 18 Zhao, Hongkai 17 Chopp, David L. 17 Dapogny, Charles 16 Moës, Nicolas 16 Tai, Xuecheng 14 Adams, Nikolaus A. 14 Kang, Myungjoo 14 Li, Zhilin 13 Belytschko, Ted Bohdan 13 Cheng, Li-Tien 13 Frolkovič, Peter 13 Khoo, Boo Cheong 13 Xia, Qi 12 Chen, Ke 12 Jin, Shi 12 Kimmel, Ron 12 Qiu, Jianxian 11 Elliott, Charles M. 11 Falcone, Maurizio 11 Maute, Kurt 11 Merriman, Barry 11 Min, Chohong 11 Sapiro, Guillermo 11 Shu, Chi-Wang 11 Vermolen, Fred J. 10 Liu, Hailiang 10 Shi, Tielin 9 Chambolle, Antonin 9 Fries, Thomas-Peter 9 Gao, Liang 9 Garcke, Harald 9 Gout, Christian 9 Laurain, Antoine 9 Nishiwaki, Shinji 9 Nürnberg, Robert 9 Ouyang, Jie 9 Tanguy, Sébastien 9 Tannenbaum, Allen Robert 9 Yokoi, Kensuke 8 Bordas, Stéphane Pierre Alain 8 Chevaugeon, Nicolas 8 Dehghan Takht Fooladi, Mehdi 8 Desjardins, Olivier 8 Duan, Xianbao 8 Floryan, Jerzy M. 8 Frey, Pascal Jean 8 Gray, Leonard J. 8 Jouve, François 8 Kim, Junseok 8 Lai, Mingchih 8 Le Guyader, Carole 8 Nave, Jean-Christophe 8 Tong, Liyong 8 Tornberg, Anna-Karin 8 Vuik, Cornelis 8 Xiao, Feng 8 Yamasaki, Shintaro 8 Zidani, Hasnaa 7 Amstutz, Samuel 7 Bertozzi, Andrea Louise 7 Biswas, Gautam 7 Bokanowski, Olivier 7 Burger, Martin 7 Cameron, Maria Kourkina 7 Chen, Shikui 7 Cristini, Vittorio 7 Dorn, Oliver 7 Garzon, Maria Luisa 7 Giga, Yoshikazu 7 Guittet, Arthur 7 He, Chuanjiang 7 Liu, Tiegang 7 Poignard, Clair 7 Scardovelli, Ruben 7 Stern, Fred 7 Strain, John A. 7 Sussman, Mark 7 Vese, Luminita A. 7 Vladimirsky, Alexander 7 Xia, Liang 7 You, Guoqiao 7 Zahedi, Sara 6 Angenent, Sigurd Bernardus 6 Aslam, Tariq D. 6 Beneš, Michal 6 Breitkopf, Piotr ...and 5,032 more Authors
all top 5

#### Cited in 306 Serials

 701 Journal of Computational Physics 217 Computer Methods in Applied Mechanics and Engineering 176 Computers and Fluids 130 Journal of Scientific Computing 117 International Journal for Numerical Methods in Engineering 62 Computers & Mathematics with Applications 56 International Journal for Numerical Methods in Fluids 50 Journal of Mathematical Imaging and Vision 48 Journal of Computational and Applied Mathematics 48 Computational Mechanics 48 Applied Mathematical Modelling 46 Journal of Fluid Mechanics 36 Structural and Multidisciplinary Optimization 34 Physics of Fluids 33 SIAM Journal on Scientific Computing 32 Applied Mathematics and Computation 32 Applied Numerical Mathematics 28 Pattern Recognition 24 Mathematics of Computation 24 Numerische Mathematik 23 Engineering Analysis with Boundary Elements 20 International Journal of Computer Mathematics 20 SIAM Journal on Imaging Sciences 19 Physica D 18 Computing and Visualization in Science 17 Advances in Computational Mathematics 17 Archives of Computational Methods in Engineering 17 Journal of Theoretical Biology 16 Journal of Mathematical Biology 16 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 16 International Journal of Computational Methods 15 Computer Aided Geometric Design 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 15 International Journal of Computer Vision 15 Mathematical Problems in Engineering 14 Combustion Theory and Modelling 13 Computational Geosciences 13 Inverse Problems and Imaging 12 Journal of Differential Equations 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Acta Mechanica Sinica 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 SIAM Journal on Applied Mathematics 11 International Journal of Computational Fluid Dynamics 11 Computational & Mathematical Methods in Medicine 10 Archive for Rational Mechanics and Analysis 10 International Journal of Heat and Mass Transfer 10 Wave Motion 10 The Journal of Geometric Analysis 10 Numerical Algorithms 9 Journal of Mathematical Analysis and Applications 9 Mathematics and Computers in Simulation 9 Applied Mathematics and Mechanics. (English Edition) 9 Applied Mathematics Letters 9 European Journal of Mechanics. B. Fluids 8 Computer Physics Communications 8 Inverse Problems 8 SIAM Journal on Numerical Analysis 8 Numerical Methods for Partial Differential Equations 8 Proceedings of the National Academy of Sciences of the United States of America 8 International Journal of Numerical Methods for Heat & Fluid Flow 8 Discrete and Continuous Dynamical Systems. Series S 8 International Journal for Numerical Methods in Biomedical Engineering 7 Communications on Pure and Applied Mathematics 7 Bulletin of Mathematical Biology 7 Journal of Optimization Theory and Applications 7 SIAM Journal on Control and Optimization 7 Mathematical and Computer Modelling 7 Japan Journal of Industrial and Applied Mathematics 7 Communications in Numerical Methods in Engineering 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Inverse Problems in Science and Engineering 7 Research in the Mathematical Sciences 7 SMAI Journal of Computational Mathematics 6 Acta Mechanica 6 International Journal of Engineering Science 6 Automatica 6 Kybernetika 6 COMPEL 6 Computational Geometry 6 Communications in Partial Differential Equations 6 Journal of Non-Newtonian Fluid Mechanics 6 Bulletin of the American Mathematical Society. New Series 6 Experimental Mathematics 6 Journal of Inverse and Ill-Posed Problems 5 Applicable Analysis 5 International Journal of Solids and Structures 5 Journal of Engineering Mathematics 5 Mathematical Biosciences 5 Mathematical Methods in the Applied Sciences 5 Applied Mathematics and Optimization 5 ACM Transactions on Graphics 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Applied Mathematics and Computer Science 5 Dynamic Games and Applications 4 Communications in Mathematical Physics 4 Physics of Fluids, A 4 Multidimensional Systems and Signal Processing 4 SIAM Journal on Mathematical Analysis 4 Archive of Applied Mechanics ...and 206 more Serials
all top 5

#### Cited in 50 Fields

 1,332 Numerical analysis (65-XX) 1,213 Fluid mechanics (76-XX) 689 Partial differential equations (35-XX) 564 Mechanics of deformable solids (74-XX) 338 Calculus of variations and optimal control; optimization (49-XX) 261 Computer science (68-XX) 236 Biology and other natural sciences (92-XX) 187 Information and communication theory, circuits (94-XX) 184 Classical thermodynamics, heat transfer (80-XX) 106 Differential geometry (53-XX) 82 Statistical mechanics, structure of matter (82-XX) 81 Optics, electromagnetic theory (78-XX) 78 Operations research, mathematical programming (90-XX) 57 Geophysics (86-XX) 54 Systems theory; control (93-XX) 50 Global analysis, analysis on manifolds (58-XX) 34 Statistics (62-XX) 32 Dynamical systems and ergodic theory (37-XX) 32 Probability theory and stochastic processes (60-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Ordinary differential equations (34-XX) 24 Mechanics of particles and systems (70-XX) 13 Approximations and expansions (41-XX) 12 Operator theory (47-XX) 9 Integral equations (45-XX) 9 Quantum theory (81-XX) 8 General and overarching topics; collections (00-XX) 7 Combinatorics (05-XX) 7 Convex and discrete geometry (52-XX) 6 Functional analysis (46-XX) 5 Manifolds and cell complexes (57-XX) 5 Relativity and gravitational theory (83-XX) 4 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic geometry (14-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Algebraic topology (55-XX) 2 Mathematical logic and foundations (03-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.