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Author ID: li.zhilin.1 Recent zbMATH articles by "Li, Zhilin"
Published as: Li, Zhilin; Li, Z.; Li, Zhi-Lin; Li, Z. L.
Homepage: https://math.sciences.ncsu.edu/people/zhilin/
External Links: MGP · ORCID · Wikidata · dblp
all top 5

Co-Authors

9 single-authored
15 Ito, Kazufumi
12 Lai, Mingchih
12 Pan, Kejia
11 Chen, Jinru
8 Ji, Haifeng
8 Zhang, Zhiyue
8 Zhao, Hongkai
7 Feng, Xiufang
6 Lubkin, Sharon R.
6 Ruiz Álvarez, Juan
5 LeVeque, Randall J.
5 Qiao, Zhonghua
4 Chen, Xiaohong
4 Dong, Baiying
4 Feng, Xinlong
4 Khoo, Boo Cheong
4 Wan, Xiaohai
4 Wang, Feng
3 Amat Plata, Sergio
3 Li, Jin
3 Lin, Ping
3 Lin, Tao
3 Qin, Fangfang
3 Singh, Suruchi
3 Singh, Swarn
3 Tang, Tao
3 Xu, Jianjun
2 Caraus, Iurie Nicolae
2 Deng, Shaozhong
2 Gong, Yan
2 Gremaud, Pierre-Alain
2 He, Guowei
2 Hu, Hongling
2 Huang, Peiqi
2 Le, Duc-Vinh
2 Li, Bo
2 Li, Rui
2 Lin, Xiaobiao
2 Lin, Yanping
2 Lowengrub, John Samuel
2 Mikayelyan, Hayk
2 Solano, Concepción
2 Tong, Fenghua
2 Trillo, Juan Carlos
2 Vulkov, Lubin G.
2 Wang, Li
2 Wang, Zhaohui
2 Wu, Xiaoxin
2 Xiao, Xufeng
2 Xie, Hui
2 Yang, Xingzhou
2 Yin, Junfeng
2 Zhang, Qian
2 Zhu, Ling
1 Adams, Loyce M.
1 Angot, Philippe
1 Aspinwall, Eric
1 Beale, J. Thomas
1 Cai, Mingchao
1 Cai, Qin
1 Cai, Wei
1 Chai, Shuqing
1 Chen, Guo
1 Chern, I-Liang
1 Chopp, David L.
1 Cooper, Racheal L.
1 Ewing, Richard Edward
1 Faragó, István
1 Feng, Xiufeng
1 Fu, Kang
1 Gao, Huajian
1 Ge, Yongbin
1 Hao, Jian
1 He, Dongdong
1 Hou, Songming
1 Hou, Thomas Yizhao
1 Hu, Shuanggui
1 Huang, Huaxiong
1 Huang, Yunqing
1 Hunter, John K.
1 Jiang, Qunlei
1 Kuberry, Paul Allen
1 Kunisch, Karl
1 Kuster, Christopher M.
1 Kyei, Yaw
1 Lim, Kian-Meng
1 Luo, Ray
1 Ma, Zhijie
1 Mayo, Anita A.
1 Norris, Larry K.
1 Osher, Stanley Joel
1 Pao, Chia-Ven
1 Peng, Xiaofei
1 Rogers, Robert C.
1 Rutka, Vita
1 Sanders, Ashley
1 Shen, Yunqiu
1 Smith, Ralph C.
1 Song, Peng
1 Song, Yongzhong
...and 42 more Co-Authors
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Serials

16 Journal of Computational Physics
8 Journal of Scientific Computing
8 Numerical Mathematics: Theory, Methods and Applications
7 SIAM Journal on Scientific Computing
6 Applied Numerical Mathematics
6 Applied Mathematics Letters
6 Numerical Algorithms
6 International Journal of Numerical Analysis and Modeling
6 Communications in Computational Physics
5 Computers and Fluids
5 Journal of Computational and Applied Mathematics
5 SIAM Journal on Numerical Analysis
4 Journal of Computational Mathematics
3 Computers & Mathematics with Applications
3 Computer Methods in Applied Mechanics and Engineering
3 Electronic Journal of Differential Equations (EJDE)
2 Applied Mathematics and Computation
2 International Journal for Numerical Methods in Engineering
2 Mathematics and Computers in Simulation
2 Numerische Mathematik
2 Numerical Methods for Partial Differential Equations
2 International Journal of Computer Mathematics
2 Methods and Applications of Analysis
2 Discrete and Continuous Dynamical Systems. Series B
2 Advances in Applied Mathematics and Mechanics
2 International Journal of Numerical Analysis and Modeling. Series B
1 Computer Physics Communications
1 IMA Journal of Numerical Analysis
1 International Journal for Numerical Methods in Fluids
1 International Journal of Systems Science
1 Inverse Problems
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 SIAM Review
1 Computational and Applied Mathematics
1 Advances in Computational Mathematics
1 Taiwanese Journal of Mathematics
1 Interfaces and Free Boundaries
1 International Journal of Applied Mathematics and Computer Science
1 Differential Equations
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Multiscale Modeling & Simulation
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Contemporary Mathematics
1 Frontiers in Applied Mathematics
1 Lecture Notes in Computer Science
1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore
1 Communications in Applied Mathematics and Computational Science
1 East Asian Journal on Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 4,173 times in 1,693 Documents Cited by Year
The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0811.65083
LeVeque, Randall J.; Li, Zhilin
701
1994
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
329
2006
New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130
Li, Zhilin; Lin, Tao; Wu, Xiaohui
264
2003
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
228
1997
The immersed interface method using a finite element formulation. Zbl 0936.65091
Li, Zhilin
184
1998
The immersed interface method for the Navier-Stokes equations with singular forces. Zbl 1065.76568
Li, Zhilin; Lai, Ming-Chih
174
2001
A fast iterative algorithm for elliptic interface problems. Zbl 0915.65121
Li, Zhilin
158
1998
A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations. Zbl 1391.76590
Yang, Xiaolei; Zhang, Xing; Li, Zhilin; He, Guo-Wei
135
2009
An immersed finite element space and its approximation capability. Zbl 1057.65085
Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C.
132
2004
Immersed-interface finite-element methods for elliptic interface problems with nonhomogeneous jump conditions. Zbl 1160.65061
Gong, Yan; Li, Bo; Li, Zhilin
130
2008
A hybrid method for moving interface problems with application to the Hele-Shaw flow. Zbl 0888.76067
Hou, Thomas Y.; Li, Zhilin; Osher, Stanley; Zhao, Hongkai
121
1997
Maximum principle preserving schemes for interface problems with discontinuous coefficients. Zbl 1001.65115
Li, Zhilin; Ito, Kazufumi
95
2001
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
92
2006
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
72
2001
The immersed interface/multigrid methods for interface problems. Zbl 1014.65099
Adams, Loyce; Li, Zhilin
70
2002
The immersed finite volume element methods for the elliptic interface problems. Zbl 1027.65155
Ewing, Richard E.; Li, Zhilin; Lin, Tao; Lin, Yanping
66
1999
An overview of the immersed interface method and its applications. Zbl 1028.65108
Li, Zhilin
58
2003
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291
Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih
46
2007
Convergence analysis of the immersed interface method. Zbl 0940.65114
Huang, Huaxiong; Li, Zhilin
45
1999
A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane. Zbl 1013.76021
Lai, Ming-Chih; Li, Zhilin
42
2001
Immersed interface methods for moving interface problems. Zbl 0886.65096
Li, Zhilin
40
1997
A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid. Zbl 0956.78016
Li, Zhilin; Zhao, Hongkai; Gao, Huajian
40
1999
A symmetric and consistent immersed finite element method for interface problems. Zbl 1308.65198
Ji, Haifeng; Chen, Jinru; Li, Zhilin
36
2014
Immersed interface finite element methods for elasticity interface problems with non-homogeneous jump conditions. Zbl 1224.65266
Gong, Yan; Li, Zhilin
36
2010
Three-dimensional elliptic solvers for interface problems and applications. Zbl 1016.65072
Deng, Shaozhong; Ito, Kazufumi; Li, Zhilin
35
2003
A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow. Zbl 1241.76324
Chen, Guo; Li, Zhilin; Lin, Ping
32
2008
New formulations for interface problems in polar coordinates. Zbl 1040.65087
Li, Zhilin; Wang, Wei-Cheng; Chern, I-Liang; Lai, Ming-Chih
30
2003
An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane. Zbl 1317.76064
Tan, Zhijun; Le, D. V.; Li, Zhilin; Lim, K. M.; Khoo, B. C.
30
2008
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
30
2012
High order compact finite difference schemes for the Helmholtz equation with discontinuous coefficients. Zbl 1249.65214
Feng, Xiufang; Li, Zhilin; Qiao, Zhonghua
28
2011
Accurate solution and gradient computation for elliptic interface problems with variable coefficients. Zbl 1362.76037
Li, Zhilin; Ji, Haifeng; Chen, Xiaohong
27
2017
The immersed interface method for elasticity problems with interfaces. Zbl 1140.74575
Yang, Xingzhou; Li, Bo; Li, Zhilin
23
2003
A note on immersed interface method for three-dimensional elliptic equations. Zbl 0876.65074
Li, Z.
21
1996
A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170
Xie, Hui; Li, Zhilin; Qiao, Zhonghua
20
2011
Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains. Zbl 1087.65099
Ito, Kazufumi; Li, Zhilin; Kyei, Yaw
19
2005
Reactive autophobic spreading of drops. Zbl 1046.76036
Hunter, John K.; Li, Zhilin; Zhao, Hongkai
18
2002
An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions. Zbl 1443.65293
Zhu, Ling; Zhang, Zhiyue; Li, Zhilin
17
2015
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. Zbl 1349.65638
Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue
17
2015
ADI methods for heat equations with discontinuities along an arbitrary interface. Zbl 0815.65101
Li, Zhilin; Mayo, Anita
16
1994
A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015
Qiao, Zhonghua; Li, Zhilin; Tang, Tao
16
2006
An immersed finite element method for elasticity equations with interfaces. Zbl 1095.74039
Li, Zhilin; Yang, Xingzhou
15
2005
Numerical solution of differential equations. Introduction to finite difference and finite element methods. Zbl 1398.65003
Li, Zhilin; Qiao, Zhonghua; Tang, Tao
14
2018
An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai
14
2010
An augmented approach for the pressure boundary condition in a Stokes flow. Zbl 1115.76373
Li, Z.; Wan, X.; Ito, Kazufumi; Lubkin, S. R.
13
2006
A coupled immersed interface and level set method for three-dimensional interfacial flows with insoluble surfactant. Zbl 1373.76199
Xu, Jian-Jun; Huang, Yunqing; Lai, Ming-Chih; Li, Zhilin
13
2014
Adaptive mesh refinement for elliptic interface problems using the non-conforming immersed finite element method. Zbl 1263.65125
Wu, Chin-Tien; Li, Zhilin; Lai, Ming-Chih
13
2011
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
12
2009
A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations. Zbl 1147.65086
Li, Zhilin; Pao, C. V.; Qiao, Zhonghua
12
2007
An FE-FD method for anisotropic elliptic interface problems. Zbl 1452.65332
Dong, Baiying; Feng, Xiufang; Li, Zhilin
12
2020
On convergence of the immersed boundary method for elliptic interface problems. Zbl 1311.65133
Li, Zhilin
12
2015
Numerical analysis of interfacial two-dimensional Stokes flow with discontinuous viscosity and variable surface tension. Zbl 0996.76068
Li, Zhilin; Lubkin, Sharon R.
11
2001
A new augmented immersed finite element method without using SVD interpolations. Zbl 1333.65132
Ji, Haifeng; Chen, Jinru; Li, Zhilin
11
2016
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems. Zbl 1368.74065
Qin, Fangfang; Chen, Jinru; Li, Zhilin; Cai, Mingchao
11
2017
A new parameter free partially penalized immersed finite element and the optimal convergence analysis. Zbl 1492.65313
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin
11
2022
Simplified immersed interface methods for elliptic interface problems with straight interfaces. Zbl 1235.65124
Feng, Xiufang; Li, Zhilin
11
2012
A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations. Zbl 1390.76593
Li, Zhilin; Lai, Ming-Chih; Peng, Xiaofei; Zhang, Zhiyue
11
2018
Periodic solutions and stability of Hopfield neural networks with variable delays. Zbl 0863.34038
Yi, Zhang; Zhong, S. M.; Li, Z. L.
10
1996
A numerical method for solving heat equations involving interfaces. Zbl 0968.65052
Li, Zhilin; Shen, Yun-Qiu
10
1999
A high order compact FD framework for elliptic BVPs involving singular sources, interfaces, and irregular domains. Zbl 1480.65315
Pan, Kejia; He, Dongdong; Li, Zhilin
10
2021
An explicit jump immersed interface method for two-phase Navier-Stokes equations with interfaces. Zbl 1158.76410
Rutka, Vita; Li, Zhilin
9
2008
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
9
2011
A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere. Zbl 1284.65175
Wang, Quanxiang; Zhang, Zhiyue; Li, Zhilin
9
2013
New finite difference methods based on IIM for inextensible interfaces in incompressible flows. Zbl 1302.76131
Li, Zhilin; Lai, Ming-Chih
9
2011
An iterative approach for constructing immersed finite element spaces and applications to interface problems. Zbl 1408.65090
Wang, Cheng; Sun, Pengtao; Li, Zhilin
9
2019
A high-order source removal finite element method for a class of elliptic interface problems. Zbl 1397.65270
Ji, Haifeng; Chen, Jinru; Li, Zhilin
9
2018
An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions. Zbl 1352.76083
Li, Zhilin
9
2016
A direct method for accurate solution and gradient computations for elliptic interface problems. Zbl 1412.65179
Chen, Xiaohong; Feng, Xiufang; Li, Zhilin
8
2019
How to obtain an accurate gradient for interface problems? Zbl 1453.65387
Tong, Fenghua; Wang, Weilong; Feng, Xinlong; Zhao, Jianping; Li, Zhilin
8
2020
A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients. Zbl 07524790
Pan, Kejia; Wu, Xiaoxin; Hu, Hongling; Yu, Yunlong; Li, Zhilin
8
2022
A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids. Zbl 1410.76281
Chen, Xiaohong; Li, Zhilin; Ruiz Álvarez, Juan
8
2018
Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099
LeVeque, Randall J.; Li, Zhilin
7
1995
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources. Zbl 1096.76014
Ito, Kazufumi; Li, Zhilin
7
2006
Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain. Zbl 1096.65106
Lai, Ming-Chih; Li, Zhilin; Lin, Xiaobiao
7
2006
An augmented IIM for Helmholtz/Poisson equations on irregular domains in complex space. Zbl 1347.65161
Zhang, Sidong M.; Li, Zhilin
7
2016
Theoretical and numerical analysis on a thermoelastic system with discontinuities. Zbl 0939.74075
Li, Zhilin; Wang, Deshen; Zou, Jun
6
1998
Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method. Zbl 1039.76051
Ito, Kazufumi; Li, Zhilin
6
2003
A sparse grid stochastic collocation method for elliptic interface problems with random input. Zbl 1339.65017
Zhang, Qian; Li, Zhilin; Zhang, Zhiyue
6
2016
On multiscale ADI methods for parabolic PDEs with a discontinuous coefficient. Zbl 1412.65083
Li, Zhilin; Chen, Xiaohong; Zhang, Zhengru
6
2018
High order compact schemes for flux type BCs. Zbl 1516.65115
Li, Zhilin; Pan, Kejia
6
2023
A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions. Zbl 1349.76498
Li, Zhilin; Xiao, Li; Cai, Qin; Zhao, Hongkai; Luo, Ray
6
2015
Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials. Zbl 1071.65187
Zolotarevskiĭ, V. A.; Li, Zhilin; Caraus, Iu.
5
2004
Partially penalized IFE methods and convergence analysis for elasticity interface problems. Zbl 1446.65170
Huang, Peiqi; Li, Zhilin
5
2021
A study of numerical methods for the level set approach. Zbl 1115.65104
Gremaud, Pierre A.; Kuster, Christopher M.; Li, Zhilin
5
2007
The local tangential lifting method for moving interface problems on surfaces with applications. Zbl 07511458
Xiao, Xufeng; Feng, Xinlong; Li, Zhilin
5
2021
Error analysis of the immersed interface method for Stokes equations with an interface. Zbl 1457.65161
Hu, Rui; Li, Zhilin
5
2018
On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method. Zbl 1391.65031
Amat, Sergio; Li, Zhilin; Ruiz, Juan
5
2018
Crack jump conditions for elliptic problems. Zbl 0958.74051
Wiegmann, A.; Li, Z.; LeVeque, R. J.
4
1999
Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134
Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin
4
2008
Interface problems and methods in biological and physical flows. Papers based on the presentations at the workshop moving interface problems and applications in fluid dynamics, January 8–March 31, 2007, Singapore. Zbl 1167.76001
4
2009
Fourth-order compact schemes for Helmholtz equations with piecewise wave numbers in the polar coordinates. Zbl 1374.65186
Su, Xiaolu; Feng, Xiufang; Li, Zhilin
4
2016
The immersed finite volume element method for some interface problems with nonhomogeneous jump conditions. Zbl 1347.65163
Zhu, Ling; Zhang, Zhiyue; Li, Zhilin
4
2016
A high order compact scheme for a thermal wave model of bio-heat transfer with an interface. Zbl 1424.80002
Singh, Suruchi; Singh, Swarn; Li, Zhilin
4
2018
An augmented method for 4th order PDEs with discontinuous coefficients. Zbl 1381.65088
Li, Zhilin; Qin, Fangfang
4
2017
An immersed \(CR\)-\(P_0\) element for Stokes interface problems and the optimal convergence analysis. Zbl 1507.76109
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin
4
2022
Pressure jump conditions for Stokes equations with discontinuous viscosity in 2D and 3D. Zbl 1142.76022
Ito, Kuzufumi; Li, Zhilin; Wan, Xiaohai
3
2006
A finite element method for interface problems with locally modified triangulations. Zbl 1306.65279
Xie, Hui; Ito, Kazufumi; Li, Zhilin; Toivanen, Jari
3
2008
Accurate gradient computations at interfaces using finite element methods. Zbl 1422.65409
Qin, Fangfang; Wang, Zhaohui; Ma, Zhijie; Li, Zhilin
3
2017
A Robin-Robin domain decomposition method for a Stokes-Darcy structure interaction with a locally modified mesh. Zbl 1324.76018
Wang, Zhaohui; Li, Zhilin; Lubkin, Sharon
3
2014
An augmented IIM & preconditioning technique for jump embedded boundary conditions. Zbl 1386.65101
Angot, Philippe; Li, Zhilin
3
2017
A uniformly stable nonconforming FEM based on weighted interior penalties for Darcy-Stokes-Brinkman equations. Zbl 1399.65328
Huang, Peiqi; Li, Zhilin
3
2017
High order compact schemes for flux type BCs. Zbl 1516.65115
Li, Zhilin; Pan, Kejia
6
2023
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems. Zbl 1522.65214
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin
2
2023
An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection-diffusion problems. Zbl 07644186
Hu, Shuanggui; Pan, Kejia; Wu, Xiaoxin; Ge, Yongbin; Li, Zhilin
2
2023
Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods. Zbl 07748283
Li, Jin; Li, Zhilin; Pan, Kejia
1
2023
A new parameter free partially penalized immersed finite element and the optimal convergence analysis. Zbl 1492.65313
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin
11
2022
A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients. Zbl 07524790
Pan, Kejia; Wu, Xiaoxin; Hu, Hongling; Yu, Yunlong; Li, Zhilin
8
2022
An immersed \(CR\)-\(P_0\) element for Stokes interface problems and the optimal convergence analysis. Zbl 1507.76109
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin
4
2022
Optimal convergence of three iterative methods based on nonconforming finite element discretization for 2D/3D MHD equations. Zbl 1492.65332
Xu, Jiali; Su, Haiyan; Li, Zhilin
2
2022
An \(L^\infty\) second order Cartesian method for 3D anisotropic interface problems. Zbl 1513.65437
Dong, Baiying; Feng, Xiufeng; Li, Zhilin
1
2022
A high order compact FD framework for elliptic BVPs involving singular sources, interfaces, and irregular domains. Zbl 1480.65315
Pan, Kejia; He, Dongdong; Li, Zhilin
10
2021
Partially penalized IFE methods and convergence analysis for elasticity interface problems. Zbl 1446.65170
Huang, Peiqi; Li, Zhilin
5
2021
The local tangential lifting method for moving interface problems on surfaces with applications. Zbl 07511458
Xiao, Xufeng; Feng, Xinlong; Li, Zhilin
5
2021
An ADI-Yee’s scheme for Maxwell’s equations with discontinuous coefficients. Zbl 07505952
Deng, Shaozhong; Li, Zhilin; Pan, Kejia
2
2021
Fourth order compact FD methods for convection diffusion equations with variable coefficients. Zbl 1524.65721
Tong, Fenghua; Feng, Xinlong; Li, Zhilin
2
2021
An acceleration technique for the augmented IIM for 3D elliptic interface problems. Zbl 1488.65565
Zhang, Changjuan; Li, Zhilin; Yue, Xingye
2
2021
An FE-FD method for anisotropic elliptic interface problems. Zbl 1452.65332
Dong, Baiying; Feng, Xiufang; Li, Zhilin
12
2020
How to obtain an accurate gradient for interface problems? Zbl 1453.65387
Tong, Fenghua; Wang, Weilong; Feng, Xinlong; Zhao, Jianping; Li, Zhilin
8
2020
An iterative approach for constructing immersed finite element spaces and applications to interface problems. Zbl 1408.65090
Wang, Cheng; Sun, Pengtao; Li, Zhilin
9
2019
A direct method for accurate solution and gradient computations for elliptic interface problems. Zbl 1412.65179
Chen, Xiaohong; Feng, Xiufang; Li, Zhilin
8
2019
Numerical solution of differential equations. Introduction to finite difference and finite element methods. Zbl 1398.65003
Li, Zhilin; Qiao, Zhonghua; Tang, Tao
14
2018
A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations. Zbl 1390.76593
Li, Zhilin; Lai, Ming-Chih; Peng, Xiaofei; Zhang, Zhiyue
11
2018
A high-order source removal finite element method for a class of elliptic interface problems. Zbl 1397.65270
Ji, Haifeng; Chen, Jinru; Li, Zhilin
9
2018
A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids. Zbl 1410.76281
Chen, Xiaohong; Li, Zhilin; Ruiz Álvarez, Juan
8
2018
On multiscale ADI methods for parabolic PDEs with a discontinuous coefficient. Zbl 1412.65083
Li, Zhilin; Chen, Xiaohong; Zhang, Zhengru
6
2018
Error analysis of the immersed interface method for Stokes equations with an interface. Zbl 1457.65161
Hu, Rui; Li, Zhilin
5
2018
On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method. Zbl 1391.65031
Amat, Sergio; Li, Zhilin; Ruiz, Juan
5
2018
A high order compact scheme for a thermal wave model of bio-heat transfer with an interface. Zbl 1424.80002
Singh, Suruchi; Singh, Swarn; Li, Zhilin
4
2018
A fourth order compact scheme for transport equation with discontinuous coefficients. Zbl 1438.65191
Singh, Suruchi; Ito, Kazufumi; Singh, Swarn; Li, Zhilin
1
2018
Accurate solution and gradient computation for elliptic interface problems with variable coefficients. Zbl 1362.76037
Li, Zhilin; Ji, Haifeng; Chen, Xiaohong
27
2017
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems. Zbl 1368.74065
Qin, Fangfang; Chen, Jinru; Li, Zhilin; Cai, Mingchao
11
2017
An augmented method for 4th order PDEs with discontinuous coefficients. Zbl 1381.65088
Li, Zhilin; Qin, Fangfang
4
2017
Accurate gradient computations at interfaces using finite element methods. Zbl 1422.65409
Qin, Fangfang; Wang, Zhaohui; Ma, Zhijie; Li, Zhilin
3
2017
An augmented IIM & preconditioning technique for jump embedded boundary conditions. Zbl 1386.65101
Angot, Philippe; Li, Zhilin
3
2017
A uniformly stable nonconforming FEM based on weighted interior penalties for Darcy-Stokes-Brinkman equations. Zbl 1399.65328
Huang, Peiqi; Li, Zhilin
3
2017
New conservative finite volume element schemes for the modified regularized long wave equation. Zbl 1488.65357
Yan, Jinliang; Lai, Ming-Chih; Li, Zhilin; Zhang, Zhiyue
2
2017
A new augmented immersed finite element method without using SVD interpolations. Zbl 1333.65132
Ji, Haifeng; Chen, Jinru; Li, Zhilin
11
2016
An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions. Zbl 1352.76083
Li, Zhilin
9
2016
An augmented IIM for Helmholtz/Poisson equations on irregular domains in complex space. Zbl 1347.65161
Zhang, Sidong M.; Li, Zhilin
7
2016
A sparse grid stochastic collocation method for elliptic interface problems with random input. Zbl 1339.65017
Zhang, Qian; Li, Zhilin; Zhang, Zhiyue
6
2016
Fourth-order compact schemes for Helmholtz equations with piecewise wave numbers in the polar coordinates. Zbl 1374.65186
Su, Xiaolu; Feng, Xiufang; Li, Zhilin
4
2016
The immersed finite volume element method for some interface problems with nonhomogeneous jump conditions. Zbl 1347.65163
Zhu, Ling; Zhang, Zhiyue; Li, Zhilin
4
2016
Augmented immersed finite element methods for some elliptic partial differential equations. Zbl 1341.65046
Ji, Haifeng; Chen, Jinru; Li, Zhilin
2
2016
Fine numerical analysis of the crack-tip position for a Mumford-Shah minimizer. Zbl 1398.74447
Li, Zhilin; Mikayelyan, Hayk
1
2016
An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions. Zbl 1443.65293
Zhu, Ling; Zhang, Zhiyue; Li, Zhilin
17
2015
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. Zbl 1349.65638
Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue
17
2015
On convergence of the immersed boundary method for elliptic interface problems. Zbl 1311.65133
Li, Zhilin
12
2015
A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions. Zbl 1349.76498
Li, Zhilin; Xiao, Li; Cai, Qin; Zhao, Hongkai; Luo, Ray
6
2015
Effective matrix-free preconditioning for the augmented immersed interface method. Zbl 1349.65112
Xia, Jianlin; Li, Zhilin; Ye, Xin
3
2015
Some new analysis results for a class of interface problems. Zbl 1338.65197
Li, Zhilin; Wang, Li; Aspinwall, Eric; Cooper, Racheal; Kuberry, Paul; Sanders, Ashley; Zeng, Ke
1
2015
A symmetric and consistent immersed finite element method for interface problems. Zbl 1308.65198
Ji, Haifeng; Chen, Jinru; Li, Zhilin
36
2014
A coupled immersed interface and level set method for three-dimensional interfacial flows with insoluble surfactant. Zbl 1373.76199
Xu, Jian-Jun; Huang, Yunqing; Lai, Ming-Chih; Li, Zhilin
13
2014
A Robin-Robin domain decomposition method for a Stokes-Darcy structure interaction with a locally modified mesh. Zbl 1324.76018
Wang, Zhaohui; Li, Zhilin; Lubkin, Sharon
3
2014
A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere. Zbl 1284.65175
Wang, Quanxiang; Zhang, Zhiyue; Li, Zhilin
9
2013
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
30
2012
Simplified immersed interface methods for elliptic interface problems with straight interfaces. Zbl 1235.65124
Feng, Xiufang; Li, Zhilin
11
2012
An adaptive mesh refinement strategy for immersed boundary/interface methods. Zbl 1388.65172
Li, Zhilin; Song, Peng
2
2012
High order compact finite difference schemes for the Helmholtz equation with discontinuous coefficients. Zbl 1249.65214
Feng, Xiufang; Li, Zhilin; Qiao, Zhonghua
28
2011
A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170
Xie, Hui; Li, Zhilin; Qiao, Zhonghua
20
2011
Adaptive mesh refinement for elliptic interface problems using the non-conforming immersed finite element method. Zbl 1263.65125
Wu, Chin-Tien; Li, Zhilin; Lai, Ming-Chih
13
2011
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
9
2011
New finite difference methods based on IIM for inextensible interfaces in incompressible flows. Zbl 1302.76131
Li, Zhilin; Lai, Ming-Chih
9
2011
The IIM in polar coordinates and its application to electro capacitance tomography problems. Zbl 1219.78141
Ruiz Álvarez, Juan; Chen, Jinru; Li, Zhilin
1
2011
Analysis and numerical methods for some crack problems. Zbl 1310.74041
Feng, Xiufang; Li, Zhilin; Wang, Li
1
2011
Immersed interface finite element methods for elasticity interface problems with non-homogeneous jump conditions. Zbl 1224.65266
Gong, Yan; Li, Zhilin
36
2010
An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai
14
2010
A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations. Zbl 1391.76590
Yang, Xiaolei; Zhang, Xing; Li, Zhilin; He, Guo-Wei
135
2009
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
12
2009
Interface problems and methods in biological and physical flows. Papers based on the presentations at the workshop moving interface problems and applications in fluid dynamics, January 8–March 31, 2007, Singapore. Zbl 1167.76001
4
2009
An additive Schwarz preconditioner for the mortar-type rotated \(Q_1\) FEM for elliptic problems with discontinuous coefficients. Zbl 1162.65408
Wang, Feng; Chen, Jinru; Xu, Wei; Li, Zhilin
2
2009
Analysis and computation for a fluid mixture model. Zbl 1364.76133
Jiang, Qunlei; Li, Zhilin; Lubkin, Sharon R.
1
2009
Immersed-interface finite-element methods for elliptic interface problems with nonhomogeneous jump conditions. Zbl 1160.65061
Gong, Yan; Li, Bo; Li, Zhilin
130
2008
A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow. Zbl 1241.76324
Chen, Guo; Li, Zhilin; Lin, Ping
32
2008
An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane. Zbl 1317.76064
Tan, Zhijun; Le, D. V.; Li, Zhilin; Lim, K. M.; Khoo, B. C.
30
2008
An explicit jump immersed interface method for two-phase Navier-Stokes equations with interfaces. Zbl 1158.76410
Rutka, Vita; Li, Zhilin
9
2008
Correction to the article “A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources” by Vaughan et al. Zbl 1175.65134
Beale, J. Thomas; Chopp, David L.; Leveque, Randall J.; Li, Zhilin
4
2008
A finite element method for interface problems with locally modified triangulations. Zbl 1306.65279
Xie, Hui; Ito, Kazufumi; Li, Zhilin; Toivanen, Jari
3
2008
Moving interface problems and applications in fluid dynamics. Program on moving interface problems and applications in fluid dynamics, Singapore, January 8 – March 31, 2007. Selected papers. Zbl 1145.76004
1
2008
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291
Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih
46
2007
A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations. Zbl 1147.65086
Li, Zhilin; Pao, C. V.; Qiao, Zhonghua
12
2007
A study of numerical methods for the level set approach. Zbl 1115.65104
Gremaud, Pierre A.; Kuster, Christopher M.; Li, Zhilin
5
2007
An augmented IIM-level set method for Stokes equations with discontinuous viscosity. Zbl 1109.76040
Li, Zhilin; Lubkin, Sharon R.; Wan, Xiaohai
1
2007
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
329
2006
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
92
2006
A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015
Qiao, Zhonghua; Li, Zhilin; Tang, Tao
16
2006
An augmented approach for the pressure boundary condition in a Stokes flow. Zbl 1115.76373
Li, Z.; Wan, X.; Ito, Kazufumi; Lubkin, S. R.
13
2006
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources. Zbl 1096.76014
Ito, Kazufumi; Li, Zhilin
7
2006
Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain. Zbl 1096.65106
Lai, Ming-Chih; Li, Zhilin; Lin, Xiaobiao
7
2006
Pressure jump conditions for Stokes equations with discontinuous viscosity in 2D and 3D. Zbl 1142.76022
Ito, Kuzufumi; Li, Zhilin; Wan, Xiaohai
3
2006
Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains. Zbl 1087.65099
Ito, Kazufumi; Li, Zhilin; Kyei, Yaw
19
2005
An immersed finite element method for elasticity equations with interfaces. Zbl 1095.74039
Li, Zhilin; Yang, Xingzhou
15
2005
An immersed finite element space and its approximation capability. Zbl 1057.65085
Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C.
132
2004
Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials. Zbl 1071.65187
Zolotarevskiĭ, V. A.; Li, Zhilin; Caraus, Iu.
5
2004
New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130
Li, Zhilin; Lin, Tao; Wu, Xiaohui
264
2003
An overview of the immersed interface method and its applications. Zbl 1028.65108
Li, Zhilin
58
2003
Three-dimensional elliptic solvers for interface problems and applications. Zbl 1016.65072
Deng, Shaozhong; Ito, Kazufumi; Li, Zhilin
35
2003
New formulations for interface problems in polar coordinates. Zbl 1040.65087
Li, Zhilin; Wang, Wei-Cheng; Chern, I-Liang; Lai, Ming-Chih
30
2003
The immersed interface method for elasticity problems with interfaces. Zbl 1140.74575
Yang, Xingzhou; Li, Bo; Li, Zhilin
23
2003
Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method. Zbl 1039.76051
Ito, Kazufumi; Li, Zhilin
6
2003
The immersed interface/multigrid methods for interface problems. Zbl 1014.65099
Adams, Loyce; Li, Zhilin
70
2002
Reactive autophobic spreading of drops. Zbl 1046.76036
Hunter, John K.; Li, Zhilin; Zhao, Hongkai
18
2002
...and 22 more Documents
all top 5

Cited by 2,581 Authors

71 Li, Zhilin
39 Lai, Mingchih
38 Lin, Tao
25 Zhang, Xu
24 Chen, Jinru
22 Wang, Liqun
21 Ying, Wenjun
21 Zhao, Shan
20 Zhang, Zhiyue
19 Gibou, Frédéric
19 Hou, Songming
19 Ji, Haifeng
19 Kwak, Do Young
18 He, Xiaoming
18 Pan, Kejia
16 Guo, Ruchi
16 Lowengrub, John Samuel
16 Wei, Guowei
15 Khoo, Boo Cheong
15 Lin, Yanping
15 Tan, Zhijun
14 Griffith, Boyce E.
14 Shi, Liwei
13 Adjerid, Slimane
12 Hu, Wei-Fan
12 Ito, Kazufumi
12 Zhao, Hongkai
11 Cao, Yong
11 Chen, Yanping
11 Feng, Xinlong
11 Jo, Gwanghyun
11 Nürnberg, Robert
10 Udaykumar, Holavanahalli S.
9 Deka, Bhupen
9 Huang, Yunqing
9 Peskin, Charles S.
9 Song, Lina
9 Vulkov, Lubin G.
9 Wang, Feng
9 Wang, Quanxiang
9 Xu, Sheng
9 Zhang, Lucy T.
9 Zhang, Qian
8 Dai, Weizhong
8 Dong, Haixia
8 Kang, Myungjoo
8 Kim, Junseok
8 Mittal, Rajat
8 Sotiropoulos, Fotis
8 Tornberg, Anna-Karin
8 Yuan, Guangwei
7 Bhalla, Amneet Pal Singh
7 Coco, Armando
7 Dehghan Takht Fooladi, Mehdi
7 Fedkiw, Ronald P.
7 Garcke, Harald
7 Geng, Weihua
7 Guy, Robert D.
7 Li, Shuwang
7 Minev, Peter Dimitrov
7 Seol, Yunchang
7 Shu, Chang
7 Sun, Pengtao
7 Wang, Kun
7 Wang, Yang
7 Xia, Kelin
7 Yang, Xiaolei
7 Zhao, Jianping
6 Beale, J. Thomas
6 Belliard, Michel
6 Bhal, Santosh Kumar
6 Boffi, Daniele
6 Gastaldi, Lucia
6 Hou, Thomas Yizhao
6 Huang, Huaxiong
6 Jin, Shi
6 Kandilarov, Juri D.
6 Layton, Anita T.
6 Lim, Kian-Meng
6 Lin, Ping
6 Min, Chohong
6 Nave, Jean-Christophe
6 Rehberg, Joachim
6 Ruiz Álvarez, Juan
6 Salac, David
6 Sethian, James Albert
6 Shyy, Wei
6 Takeuchi, Shintaro
6 Taleei, Ameneh
6 Xu, Jianjun
6 Zhu, Luoding
6 Zhuang, Qiao
5 Auricchio, Ferdinando
5 Bai, Jinwei
5 Baiges, Joan
5 Belyaev, Vasiliĭ Alekseevich
5 Bryndin, Luka Sergeevich
5 Chatelain, Philippe
5 Chen, Duan
5 Chen, Long
...and 2,481 more Authors
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Cited in 185 Serials

460 Journal of Computational Physics
97 Computer Methods in Applied Mechanics and Engineering
86 Journal of Scientific Computing
83 Computers and Fluids
83 Journal of Computational and Applied Mathematics
78 Computers & Mathematics with Applications
50 International Journal for Numerical Methods in Engineering
48 Applied Numerical Mathematics
35 Applied Mathematics and Computation
30 Numerical Methods for Partial Differential Equations
28 Journal of Fluid Mechanics
28 SIAM Journal on Scientific Computing
26 International Journal for Numerical Methods in Fluids
26 Communications in Computational Physics
24 Engineering Analysis with Boundary Elements
20 Applied Mathematics Letters
17 Advances in Applied Mathematics and Mechanics
15 Applied Mathematical Modelling
14 Mathematics and Computers in Simulation
13 Computational Mechanics
12 Numerische Mathematik
11 International Journal of Numerical Analysis and Modeling
10 Mathematical Methods in the Applied Sciences
10 Mathematics of Computation
10 SIAM Journal on Numerical Analysis
10 Numerical Algorithms
10 Computational and Applied Mathematics
9 Computer Physics Communications
9 Advances in Computational Mathematics
8 International Journal of Computer Mathematics
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Mathematical Problems in Engineering
7 Computational Methods in Applied Mathematics
6 Inverse Problems
6 Computational Geosciences
6 Discrete and Continuous Dynamical Systems. Series B
6 International Journal of Computational Methods
5 Journal of Engineering Mathematics
5 BIT
5 Journal of Differential Equations
5 Numerical Functional Analysis and Optimization
5 Computing and Visualization in Science
5 Communications in Nonlinear Science and Numerical Simulation
5 East Asian Journal on Applied Mathematics
4 International Journal of Computational Fluid Dynamics
4 Interfaces and Free Boundaries
4 Archives of Computational Methods in Engineering
4 Advances in Difference Equations
4 Journal of Theoretical Biology
4 Electronic Research Archive
4 Results in Applied Mathematics
3 Communications on Pure and Applied Mathematics
3 Journal of Mathematical Analysis and Applications
3 Journal of Mathematical Biology
3 Mathematical Biosciences
3 Bulletin of Mathematical Biology
3 Calcolo
3 Journal of Computational Mathematics
3 Physica D
3 SIAM Journal on Applied Mathematics
3 Communications in Numerical Methods in Engineering
3 Abstract and Applied Analysis
3 European Journal of Mechanics. B. Fluids
3 Journal of Applied Mathematics
3 Inverse Problems in Science and Engineering
3 Computational & Mathematical Methods in Medicine
3 Numerical Mathematics: Theory, Methods and Applications
3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
3 Advances in Numerical Analysis
2 Acta Mechanica
2 Applicable Analysis
2 Physica A
2 Chaos, Solitons and Fractals
2 Applied Mathematics and Optimization
2 Applied Mathematics and Mechanics. (English Edition)
2 COMPEL
2 Japan Journal of Industrial and Applied Mathematics
2 Proceedings of the National Academy of Sciences of the United States of America
2 The Journal of Analysis
2 Physics of Fluids
2 Journal of Mathematical Sciences (New York)
2 Annales Mathématiques Blaise Pascal
2 The ANZIAM Journal
2 Differential Equations
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Numerical Mathematics
2 Journal of Applied Mathematics and Computing
2 Communications in Applied Mathematics and Computational Science
2 Advances in Mathematical Physics
2 Science China. Mathematics
2 Journal of Applied Mathematics & Informatics
2 Journal of the Korean Society for Industrial and Applied Mathematics
2 Molecular Based Mathematical Biology
2 Journal of Function Spaces
2 Research in the Mathematical Sciences
2 International Journal of Applied and Computational Mathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 International Journal of Heat and Mass Transfer
1 Indian Journal of Pure & Applied Mathematics
...and 85 more Serials
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Cited in 35 Fields

1,197 Numerical analysis (65-XX)
765 Fluid mechanics (76-XX)
602 Partial differential equations (35-XX)
314 Mechanics of deformable solids (74-XX)
104 Biology and other natural sciences (92-XX)
91 Optics, electromagnetic theory (78-XX)
49 Statistical mechanics, structure of matter (82-XX)
42 Classical thermodynamics, heat transfer (80-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
26 Ordinary differential equations (34-XX)
26 Computer science (68-XX)
16 Geophysics (86-XX)
13 Approximations and expansions (41-XX)
12 Integral equations (45-XX)
8 Potential theory (31-XX)
8 Functional analysis (46-XX)
8 Probability theory and stochastic processes (60-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Information and communication theory, circuits (94-XX)
6 Real functions (26-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
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5 Quantum theory (81-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Functions of a complex variable (30-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Systems theory; control (93-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 Operations research, mathematical programming (90-XX)
1 Convex and discrete geometry (52-XX)
1 Astronomy and astrophysics (85-XX)

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