## Li, Zhilin

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 Author ID: li.zhilin Published as: Li, Zhilin; Li, Z.; Li, Zhi-Lin; Li, Zhi-lin; Li, ZhiLin
 Documents Indexed: 192 Publications since 1985, including 3 Books 6 Contributions as Editor Co-Authors: 152 Co-Authors with 140 Joint Publications 4,606 Co-Co-Authors
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### Co-Authors

 13 single-authored 14 Ito, Kazufumi 12 Lai, Mingchih 9 Chen, Jinru 8 Zhao, Hongkai 7 Zhang, Zhiyue 6 Feng, Xiufang 6 Ji, Haifeng 6 Lubkin, Sharon R. 5 Achenbach, Jan D. 5 Khoo, Boo Cheong 5 LeVeque, Randall J. 5 Qiao, Zhonghua 4 Chen, Xiaohong 4 Huang, Kaibin 4 Wan, Xiaohai 3 Chen, Guo Qian 3 Chen, Yongqi 3 Feng, Xinlong 3 Li, Yongli 3 Lin, Ping 3 Lin, Tao 3 Pan, Kejia 3 Qin, Fangfang 3 Ruiz Álvarez, Juan 3 Singh, Suruchi 3 Singh, Swarn 3 Tang, Tao 3 Wu, Zi 3 Xu, Jianjun 2 Caraus, Iurie Nicolae 2 Chen, Jun 2 Deng, Shaozhong 2 Gong, Yan 2 Gremaud, Pierre-Alain 2 He, Guowei 2 Huang, Peiqi 2 Huang, Qin 2 Le, Duc-Vinh 2 Li, Bo 2 Li, Xiaoxia 2 Li, Zhifeng 2 Lin, Xiaobiao 2 Lin, Yanping 2 Lowengrub, John Samuel 2 Ma, Minghui 2 Sarker, Bhaba R. 2 Tong, Fenghua 2 Vulkov, Lubin G. 2 Wang, Feng 2 Wang, Li 2 Wang, Zhaohui 2 Xie, Hui 2 Yang, Qingfang 2 Yang, Xingzhou 2 Zeng, Li 2 Zhang, Qian 2 Zhao, Renliang 2 Zhu, Ling 1 Abramov, Sergeĭ Aleksandrovich 1 Adams, Loyce M. 1 Adams, Nikolaus A. 1 Albors-Riera, C. 1 Amat, Sergio P. 1 Angot, Philippe 1 Aspinwall, Eric 1 Ayache, Nicholas 1 Beale, J. Thomas 1 Cai, Mingchao 1 Cai, Qin 1 Cai, Wei 1 Chen, Guo 1 Chern, I-Liang 1 Chopp, David L. 1 Clatz, O. 1 Cooper, Racheal L. 1 Dai, Juan 1 Delingette, Hervé 1 Dong, Baiying 1 Douville, N. J. 1 Evans, Robin J. 1 Ewing, Richard Edward 1 Faragó, István 1 Forrest, Jeffrey Yi-Lin 1 Gao, Huajian 1 Gao, Jingjing 1 Gold, Christopher M. 1 Haddock, B. 1 Han, Jianda 1 Han, Lei 1 Hao, Jian 1 He, Dongdong 1 Herz, Andreas V. M. 1 Holden, Arun V. 1 Hopfield, John J. 1 Hou, Songming 1 Hou, Thomas Yizhao 1 Hu, Hongling 1 Hu, Rui 1 Huang, Huaxiong 1 Huang, Yunqing ...and 95 more Co-Authors
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### Serials

 16 Journal of Computational Physics 7 Journal of Scientific Computing 6 Applied Numerical Mathematics 6 SIAM Journal on Scientific Computing 6 International Journal of Numerical Analysis and Modeling 6 Communications in Computational Physics 6 Numerical Mathematics: Theory, Methods and Applications 5 Computers and Fluids 5 SIAM Journal on Numerical Analysis 5 Applied Mathematics Letters 5 Numerical Algorithms 4 Journal of Computational and Applied Mathematics 3 Computers & Mathematics with Applications 3 Automatica 3 Journal of Computational Mathematics 3 International Journal of Computer Mathematics 3 Electronic Journal of Differential Equations (EJDE) 3 Communications in Nonlinear Science and Numerical Simulation 2 International Journal for Numerical Methods in Fluids 2 Journal of Applied Mechanics 2 Wave Motion 2 Journal of the Operational Research Society 2 Kybernetes 2 Numerische Mathematik 2 Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 IEEE Transactions on Signal Processing 2 Methods and Applications of Analysis 2 Engineering Analysis with Boundary Elements 2 Science in China. Series E 2 Mathematical Problems in Engineering 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 Acta Mechanica 1 Archives of Mechanics 1 Biological Cybernetics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 International Journal of Systems Science 1 Inverse Problems 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Mathematics of Computation 1 Theory of Probability and its Applications 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Meccanica 1 Theoretical Computer Science 1 Topology and its Applications 1 Journal of Mathematical Research & Exposition 1 Acta Mathematica Hungarica 1 International Journal of Production Research 1 Journal of Nanjing University. Mathematical Biquarterly 1 Chinese Journal of Applied Probability and Statistics 1 Mathematica Applicata 1 Annals of Physics 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Engineering Software 1 Journal of Mathematical Sciences (New York) 1 Advances in Computational Mathematics 1 Journal of Geodesy 1 Taiwanese Journal of Mathematics 1 1 Journal of Yangzhou University. Natural Science Edition 1 Journal of Changsha University of Electric Power. Natural Science 1 Interfaces and Free Boundaries 1 International Journal of Applied Mathematics and Computer Science 1 Progress in Natural Science 1 Physical Review Letters 1 The ANZIAM Journal 1 Differential Equations 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Multiscale Modeling & Simulation 1 Journal of Beijing University of Technology 1 Control and Intelligent Systems 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 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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### Fields

 110 Numerical analysis (65-XX) 56 Partial differential equations (35-XX) 52 Fluid mechanics (76-XX) 35 Mechanics of deformable solids (74-XX) 12 Biology and other natural sciences (92-XX) 8 Computer science (68-XX) 8 Operations research, mathematical programming (90-XX) 7 General and overarching topics; collections (00-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

141 Publications have been cited 3,224 times in 1,336 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
1994
Immersed interface methods for Stokes flow with elastic boundaries or surface tension. Zbl 0879.76061
LeVeque, Randall J.; Li, Zhilin
1997
New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130
Li, Zhilin; Lin, Tao; Wu, Xiaohui
2003
The immersed interface method for the Navier-Stokes equations with singular forces. Zbl 1065.76568
Li, Zhilin; Lai, Ming-Chih
2001
The immersed interface method using a finite element formulation. Zbl 0936.65091
Li, Zhilin
1998
A fast iterative algorithm for elliptic interface problems. Zbl 0915.65121
Li, Zhilin
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
2009
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
2006
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
1997
An immersed finite element space and its approximation capability. Zbl 1057.65085
Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C.
2004
Immersed-interface finite-element methods for elliptic interface problems with nonhomogeneous jump conditions. Zbl 1160.65061
Gong, Yan; Li, Bo; Li, Zhilin
2008
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
2006
Maximum principle preserving schemes for interface problems with discontinuous coefficients. Zbl 1001.65115
Li, Zhilin; Ito, Kazufumi
2001
Level-set function approach to an inverse interface problem. Zbl 0986.35130
Ito, Kazufumi; Kunisch, Karl; Li, Zhilin
2001
The immersed interface/multigrid methods for interface problems. Zbl 1014.65099
2002
The immersed finite volume element methods for the elliptic interface problems. Zbl 1027.65155
Ewing, Richard E.; Li, Zhilin; Lin, Tao; Lin, Yanping
1999
An overview of the immersed interface method and its applications. Zbl 1028.65108
Li, Zhilin
2003
Convergence analysis of the immersed interface method. Zbl 0940.65114
Huang, Huaxiong; Li, Zhilin
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
2001
A theorem of the alternative and its application to the optimization of set-valued maps. Zbl 0915.90253
Li, Z.
1999
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
1999
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291
Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih
2007
Immersed interface methods for moving interface problems. Zbl 0886.65096
Li, Zhilin
1997
New formulations for interface problems in polar coordinates. Zbl 1040.65087
Li, Zhilin; Wang, Wei-Cheng; Chern, I-Liang; Lai, Ming-Chih
2003
Three-dimensional elliptic solvers for interface problems and applications. Zbl 1016.65072
Deng, Shaozhong; Ito, Kazufumi; Li, Zhilin
2003
A symmetric and consistent immersed finite element method for interface problems. Zbl 1308.65198
Ji, Haifeng; Chen, Jinru; Li, Zhilin
2014
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
2012
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
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.
2008
Reflection and transmission of scalar waves by a periodic array of screens. Zbl 0581.73030
Achenbach, J. D.; Li, Z. L.
1986
Immersed interface finite element methods for elasticity interface problems with non-homogeneous jump conditions. Zbl 1224.65266
Gong, Yan; Li, Zhilin
2010
A note on immersed interface method for three-dimensional elliptic equations. Zbl 0876.65074
Li, Z.
1996
Reactive autophobic spreading of drops. Zbl 1046.76036
Hunter, John K.; Li, Zhilin; Zhao, Hongkai
2002
Modeling the olfactory bulb and its neural oscillatory processings. Zbl 0675.92005
Li, Z.; Hopfield, J. J.
1989
The immersed interface method for elasticity problems with interfaces. Zbl 1140.74575
Yang, Xingzhou; Li, Bo; Li, Zhilin
2003
Accurate solution and gradient computation for elliptic interface problems with variable coefficients. Zbl 1362.76037
Li, Zhilin; Ji, Haifeng; Chen, Xiaohong
2017
Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains. Zbl 1087.65099
Ito, Kazufumi; Li, Zhilin; Kyei, Yaw
2005
A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170
Xie, Hui; Li, Zhilin; Qiao, Zhonghua
2011
High order compact finite difference schemes for the Helmholtz equation with discontinuous coefficients. Zbl 1249.65214
Feng, Xiufang; Li, Zhilin; Qiao, Zhonghua
2011
A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015
Qiao, Zhonghua; Li, Zhilin; Tang, Tao
2006
ADI methods for heat equations with discontinuities along an arbitrary interface. Zbl 0815.65101
Li, Zhilin; Mayo, Anita
1994
An augmented approach for the pressure boundary condition in a Stokes flow. Zbl 1115.76373
Li, Z.; Wan, X.; Ito, Kazufumi; Lubkin, S. R.
2006
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
2009
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. Zbl 1349.65638
Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue
2015
Propagation of horizontally polarized transverse waves in a solid with a periodic distribution of cracks. Zbl 0585.73032
Achenbach, J. D.; Li, Z. L.
1986
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
2014
Statistical mechanics of temporal association in neural networks with transmission delays. Zbl 0968.82521
Herz, A. V. M.; Li, Z.; van Hemmen, J. L.
1991
Numerical analysis of interfacial two-dimensional Stokes flow with discontinuous viscosity and variable surface tension. Zbl 0996.76068
Li, Zhilin; Lubkin, Sharon R.
2001
Periodic solutions and stability of Hopfield neural networks with variable delays. Zbl 0863.34038
Yi, Zhang; Zhong, S. M.; Li, Z. L.
1996
A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations. Zbl 1147.65086
Li, Zhilin; Pao, C. V.; Qiao, Zhonghua
2007
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
2011
Multi-scale analysis for environmental dispersion in wetland flow. Zbl 1419.76624
Wu, Zi; Li, Z.; Chen, G. Q.
2011
An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai
2010
A new augmented immersed finite element method without using SVD interpolations. Zbl 1333.65132
Ji, Haifeng; Chen, Jinru; Li, Zhilin
2016
An immersed finite element method for elasticity equations with interfaces. Zbl 1095.74039
Li, Zhilin; Yang, Xingzhou
2005
New finite difference methods based on IIM for inextensible interfaces in incompressible flows. Zbl 1302.76131
Li, Zhilin; Lai, Ming-Chih
2011
Ore polynomial rings in one variable in computer algebra. Zbl 1127.16302
Abramov, S. A.; Le, H. Q.; Li, Z.
2005
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
2011
A numerical method for solving heat equations involving interfaces. Zbl 0968.65052
Li, Zhilin; Shen, Yun-Qiu
1999
An explicit jump immersed interface method for two-phase Navier-Stokes equations with interfaces. Zbl 1158.76410
Rutka, Vita; Li, Zhilin
2008
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
2013
Simplified immersed interface methods for elliptic interface problems with straight interfaces. Zbl 1235.65124
Feng, Xiufang; Li, Zhilin
2012
On convergence of the immersed boundary method for elliptic interface problems. Zbl 1311.65133
Li, Zhilin
2015
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources. Zbl 1096.76014
Ito, Kazufumi; Li, Zhilin
2006
Dynamic coupling switching control incorporating support vector machines for wheeled mobile manipulators with hybrid joints. Zbl 1191.93105
Li, Z.; Kang, Y.
2010
Wavelet estimation in varying-coefficient models. Zbl 1209.62077
Lu, Yiqiang; Li, Zhilin
2009
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
2015
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
2015
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
2018
Solving a nonlinear problem in magneto-rheological fluids using the immersed interface method. Zbl 1039.76051
Ito, Kazufumi; Li, Zhilin
2003
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
2006
Theoretical and numerical analysis on a thermoelastic system with discontinuities. Zbl 0939.74075
Li, Zhilin; Wang, Deshen; Zou, Jun
1998
Reflection and transmission of obliquely incident surface waves by an edge of a quarter space: Theory and experiment. Zbl 0825.73147
Li, Z. L.; Achenbach, J. D.; Komsky, I.; Lee, Y. C.
1992
An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions. Zbl 1352.76083
Li, Zhilin
2016
An iterative approach for constructing immersed finite element spaces and applications to interface problems. Zbl 1408.65090
Wang, Cheng; Sun, Pengtao; Li, Zhilin
2019
A study of numerical methods for the level set approach. Zbl 1115.65104
Gremaud, Pierre A.; Kuster, Christopher M.; Li, Zhilin
2007
A sparse grid stochastic collocation method for elliptic interface problems with random input. Zbl 1339.65017
Zhang, Qian; Li, Zhilin; Zhang, Zhiyue
2016
An augmented IIM for Helmholtz/Poisson equations on irregular domains in complex space. Zbl 1347.65161
Zhang, Sidong M.; Li, Zhilin
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
2017
Reflection and transmission of Rayleigh surface waves by a material interphase. Zbl 0741.73014
Li, Z. L.; Achenbach, J. D.
1991
Minimum-variance control of linear time-varying systems. Zbl 0885.93056
Li, Z.; Evans, R. J.
1997
Erratum: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. Zbl 0834.65099
LeVeque, Randall J.; Li, Zhilin
1995
A direct method for accurate solution and gradient computations for elliptic interface problems. Zbl 1412.65179
Chen, Xiaohong; Feng, Xiufang; Li, Zhilin
2019
Hyperbolicity of links in thickened surfaces. Zbl 1412.57002
Adams, C.; Albors-Riera, C.; Haddock, B.; Li, Z.; Nishida, D.; Reinoso, B.; Wang, Luya
2019
Crack jump conditions for elliptic problems. Zbl 0958.74051
Wiegmann, A.; Li, Z.; LeVeque, R. J.
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
2008
Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials. Zbl 1071.65187
Zolotarevskiĭ, V. A.; Li, Zhilin; Caraus, Iu.
2004
Environmental dispersion in a tidal flow through a depth-dominated wetland. Zbl 1417.76020
Wu, Zi; Zeng, L.; Chen, G. Q.; Li, Z.; Shao, Ling; Wang, P.; Jiang, Z.
2012
A high-order source removal finite element method for a class of elliptic interface problems. Zbl 1397.65270
Ji, Haifeng; Chen, Jinru; Li, Zhilin
2018
Minimum variance prediction for linear time-varying systems. Zbl 0879.93048
Li, Z.; Evans, R. J.; Wittenmark, B.
1997
Job routing and operations scheduling: a network-based virtual cell formation approach. Zbl 1131.90344
Sarker, B. R.; Li, Z.
2001
Partially penalized IFE methods and convergence analysis for elasticity interface problems. Zbl 1446.65170
Huang, Peiqi; Li, Zhilin
2021
Flow distribution and environmental dispersivity in a tidal wetland channel of rectangular cross-section. Zbl 1316.76124
Zeng, L.; Chen, G. Q.; Wu, Z.; Li, Z.; Wu, Y. H.; Ji, P.
2012
Accurate gradient computations at interfaces using finite element methods. Zbl 1422.65409
Qin, Fangfang; Wang, Zhaohui; Ma, Zhijie; Li, Zhilin
2017
A polychromatic sets approach to the conceptual design of machine tools. Zbl 1068.90076
Xu, L.; Li, Z.; Li, S.; Tang, F.
2005
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
2009
An augmented method for 4th order PDEs with discontinuous coefficients. Zbl 1381.65088
Li, Zhilin; Qin, Fangfang
2017
Effective matrix-free preconditioning for the augmented immersed interface method. Zbl 1349.65112
Xia, Jianlin; Li, Zhilin; Ye, Xin
2015
An FE-FD method for anisotropic elliptic interface problems. Zbl 1452.65332
Dong, Baiying; Feng, Xiufang; Li, Zhilin
2020
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
2018
Partially penalized IFE methods and convergence analysis for elasticity interface problems. Zbl 1446.65170
Huang, Peiqi; Li, Zhilin
2021
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
2021
Fourth order compact FD methods for convection diffusion equations with variable coefficients. Zbl 07411664
Tong, Fenghua; Feng, Xinlong; Li, Zhilin
2021
An acceleration technique for the augmented IIM for 3D elliptic interface problems. Zbl 07448861
Zhang, Changjuan; Li, Zhilin; Yue, Xingye
2021
An FE-FD method for anisotropic elliptic interface problems. Zbl 1452.65332
Dong, Baiying; Feng, Xiufang; Li, Zhilin
2020
How to obtain an accurate gradient for interface problems? Zbl 1453.65387
Tong, Fenghua; Wang, Weilong; Feng, Xinlong; Zhao, Jianping; Li, Zhilin
2020
No existence of the geometric potential for a Dirac fermion on a two-dimensional curved surface of revolution. Zbl 1448.81317
Yang, Z. Q.; Zhou, X. Y.; Li, Z.; Du, W. K.; Liu, Q. H.
2020
An iterative approach for constructing immersed finite element spaces and applications to interface problems. Zbl 1408.65090
Wang, Cheng; Sun, Pengtao; Li, Zhilin
2019
A direct method for accurate solution and gradient computations for elliptic interface problems. Zbl 1412.65179
Chen, Xiaohong; Feng, Xiufang; Li, Zhilin
2019
Hyperbolicity of links in thickened surfaces. Zbl 1412.57002
Adams, C.; Albors-Riera, C.; Haddock, B.; Li, Z.; Nishida, D.; Reinoso, B.; Wang, Luya
2019
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
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
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
2018
On multiscale ADI methods for parabolic PDEs with a discontinuous coefficient. Zbl 1412.65083
Li, Zhilin; Chen, Xiaohong; Zhang, Zhengru
2018
Error analysis of the immersed interface method for Stokes equations with an interface. Zbl 1457.65161
Hu, Rui; Li, Zhilin
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
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
2018
Numerical solution of differential equations. Introduction to finite difference and finite element methods. Zbl 1398.65003
Li, Zhilin; Qiao, Zhonghua; Tang, Tao
2018
A note on hydrodynamics from dissipative particle dynamics. Zbl 1380.82008
Bian, X.; Li, Z.; Adams, N. A.
2018
A fourth order compact scheme for transport equation with discontinuous coefficients. Zbl 1438.65191
Singh, Suruchi; Ito, Kazufumi; Singh, Swarn; Li, Zhilin
2018
Accurate solution and gradient computation for elliptic interface problems with variable coefficients. Zbl 1362.76037
Li, Zhilin; Ji, Haifeng; Chen, Xiaohong
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
2017
Accurate gradient computations at interfaces using finite element methods. Zbl 1422.65409
Qin, Fangfang; Wang, Zhaohui; Ma, Zhijie; Li, Zhilin
2017
An augmented method for 4th order PDEs with discontinuous coefficients. Zbl 1381.65088
Li, Zhilin; Qin, Fangfang
2017
A uniformly stable nonconforming FEM based on weighted interior penalties for Darcy-Stokes-Brinkman equations. Zbl 1399.65328
Huang, Peiqi; Li, Zhilin
2017
An augmented IIM & preconditioning technique for jump embedded boundary conditions. Zbl 1386.65101
Angot, Philippe; Li, Zhilin
2017
New conservative finite volume element schemes for the modified regularized long wave equation. Zbl 07407125
Yan, Jinliang; Lai, Ming-Chih; Li, Zhilin; Zhang, Zhiyue
2017
A new augmented immersed finite element method without using SVD interpolations. Zbl 1333.65132
Ji, Haifeng; Chen, Jinru; Li, Zhilin
2016
An augmented Cartesian grid method for Stokes-Darcy fluid-structure interactions. Zbl 1352.76083
Li, Zhilin
2016
A sparse grid stochastic collocation method for elliptic interface problems with random input. Zbl 1339.65017
Zhang, Qian; Li, Zhilin; Zhang, Zhiyue
2016
An augmented IIM for Helmholtz/Poisson equations on irregular domains in complex space. Zbl 1347.65161
Zhang, Sidong M.; Li, Zhilin
2016
Augmented immersed finite element methods for some elliptic partial differential equations. Zbl 1341.65046
Ji, Haifeng; Chen, Jinru; Li, Zhilin
2016
The immersed finite volume element method for some interface problems with nonhomogeneous jump conditions. Zbl 1347.65163
Zhu, Ling; Zhang, Zhiyue; Li, Zhilin
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
2016
Fine numerical analysis of the crack-tip position for a Mumford-Shah minimizer. Zbl 1398.74447
Li, Zhilin; Mikayelyan, Hayk
2016
Error formulas for ideal interpolation. Zbl 1399.41003
Gong, Y. H.; Jiang, X.; Li, Z.; Zhang, S. G.
2016
Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. Zbl 1349.65638
Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue
2015
On convergence of the immersed boundary method for elliptic interface problems. Zbl 1311.65133
Li, Zhilin
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
2015
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
2015
Effective matrix-free preconditioning for the augmented immersed interface method. Zbl 1349.65112
Xia, Jianlin; Li, Zhilin; Ye, Xin
2015
Integrated variable speed limits control and ramp metering for bottleneck regions on freeway. Zbl 1394.90180
Ma, Ming-hui; Yang, Qing-fang; Liang, Shi-dong; Li, Zhi-lin
2015
A symmetric and consistent immersed finite element method for interface problems. Zbl 1308.65198
Ji, Haifeng; Chen, Jinru; Li, Zhilin
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
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
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
2013
A numerical method for solving elasticity equations with interfaces. Zbl 1373.74091
Hou, Songming; Li, Zhilin; Wang, Liqun; Wang, Wei
2012
Simplified immersed interface methods for elliptic interface problems with straight interfaces. Zbl 1235.65124
Feng, Xiufang; Li, Zhilin
2012
Environmental dispersion in a tidal flow through a depth-dominated wetland. Zbl 1417.76020
Wu, Zi; Zeng, L.; Chen, G. Q.; Li, Z.; Shao, Ling; Wang, P.; Jiang, Z.
2012
Flow distribution and environmental dispersivity in a tidal wetland channel of rectangular cross-section. Zbl 1316.76124
Zeng, L.; Chen, G. Q.; Wu, Z.; Li, Z.; Wu, Y. H.; Ji, P.
2012
An adaptive mesh refinement strategy for immersed boundary/interface methods. Zbl 1388.65172
Li, Zhilin; Song, Peng
2012
A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170
Xie, Hui; Li, Zhilin; Qiao, Zhonghua
2011
High order compact finite difference schemes for the Helmholtz equation with discontinuous coefficients. Zbl 1249.65214
Feng, Xiufang; Li, Zhilin; Qiao, Zhonghua
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
2011
Multi-scale analysis for environmental dispersion in wetland flow. Zbl 1419.76624
Wu, Zi; Li, Z.; Chen, G. Q.
2011
New finite difference methods based on IIM for inextensible interfaces in incompressible flows. Zbl 1302.76131
Li, Zhilin; Lai, Ming-Chih
2011
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
2011
The IIM in polar coordinates and its application to electro capacitance tomography problems. Zbl 1219.78141
Ruiz Álvarez, Juan; Chen, Jinru; Li, Zhilin
2011
Analysis and numerical methods for some crack problems. Zbl 1310.74041
Feng, Xiufang; Li, Zhilin; Wang, Li
2011
Periodic cracking of films supported on compliant substrates. Zbl 1270.74182
Thouless, M. D.; Li, Z.; Douville, N. J.; Takayama, S.
2011
Immersed interface finite element methods for elasticity interface problems with non-homogeneous jump conditions. Zbl 1224.65266
Gong, Yan; Li, Zhilin
2010
An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai
2010
Dynamic coupling switching control incorporating support vector machines for wheeled mobile manipulators with hybrid joints. Zbl 1191.93105
Li, Z.; Kang, Y.
2010
Collective buckling of nonuniform nanobeams interacting through an elastic substrate. Zbl 1268.74024
Li, Z.; Feng, K.; Yang, J. S.; Tan, L.; Lin, H.
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
2009
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
2009
Wavelet estimation in varying-coefficient models. Zbl 1209.62077
Lu, Yiqiang; Li, Zhilin
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
2009
Integration of a GIS and a complex three-dimensional hydrodynamic, sediment and heavy metal transport numerical model. Zbl 1280.76043
Ng, Sandy M. Y.; Wai, Onyx W. H.; Li, Yok-Shueng; Li, Zhi-Lin; Jiang, Yuwu
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
2009
Application of relations of singularity intensities of tangent derivatives of boundary displacements and tractions to BEM. Zbl 1244.74197
Wang, Ch.; Li, Z. L.
2009
Immersed-interface finite-element methods for elliptic interface problems with nonhomogeneous jump conditions. Zbl 1160.65061
Gong, Yan; Li, Bo; Li, Zhilin
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
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.
2008
An explicit jump immersed interface method for two-phase Navier-Stokes equations with interfaces. Zbl 1158.76410
Rutka, Vita; Li, Zhilin
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
2008
A finite element method for interface problems with locally modified triangulations. Zbl 1306.65279
Xie, Hui; Ito, Kazufumi; Li, Zhilin; Toivanen, Jari
2008
Origin-shifted algorithm for matrix eigenvalues. Zbl 1149.65028
Nie, Y. Y.; Li, Z.; Han, J. D.
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
2008
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291
Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih
2007
A finite difference method and analysis for 2D nonlinear Poisson-Boltzmann equations. Zbl 1147.65086
Li, Zhilin; Pao, C. V.; Qiao, Zhonghua
2007
A study of numerical methods for the level set approach. Zbl 1115.65104
Gremaud, Pierre A.; Kuster, Christopher M.; Li, Zhilin
2007
An augmented IIM-level set method for Stokes equations with discontinuous viscosity. Zbl 1109.76040
Li, Zhilin; Lubkin, Sharon R.; Wan, Xiaohai
2007
The immersed interface method. Numerical solutions of PDE involving interfaces and irregular domains. Zbl 1122.65096
Li, Zhilin; Ito, Kazufumi
2006
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
2006
A finite difference scheme for solving the nonlinear Poisson-Boltzmann equation modeling charged spheres. Zbl 1105.78015
Qiao, Zhonghua; Li, Zhilin; Tang, Tao
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.
2006
Interface conditions for Stokes equations with a discontinuous viscosity and surface sources. Zbl 1096.76014
Ito, Kazufumi; Li, Zhilin
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
2006
Pressure jump conditions for Stokes equations with discontinuous viscosity in 2D and 3D. Zbl 1142.76022
Ito, Kuzufumi; Li, Zhilin; Wan, Xiaohai
2006
Nonblind and semiblind space-frequency multiuser detection for multirate MC-CDMA systems. Zbl 1374.94667
Li, Z.; Latva-Aho, M.
2006
Higher-order, Cartesian grid based finite difference schemes for elliptic equations on irregular domains. Zbl 1087.65099
Ito, Kazufumi; Li, Zhilin; Kyei, Yaw
2005
An immersed finite element method for elasticity equations with interfaces. Zbl 1095.74039
Li, Zhilin; Yang, Xingzhou
2005
Ore polynomial rings in one variable in computer algebra. Zbl 1127.16302
Abramov, S. A.; Le, H. Q.; Li, Z.
2005
A polychromatic sets approach to the conceptual design of machine tools. Zbl 1068.90076
Xu, L.; Li, Z.; Li, S.; Tang, F.
2005
An immersed finite element space and its approximation capability. Zbl 1057.65085
Li, Z.; Lin, T.; Lin, Y.; Rogers, R. C.
2004
Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials. Zbl 1071.65187
Zolotarevskiĭ, V. A.; Li, Zhilin; Caraus, Iu.
2004
New Cartesian grid methods for interface problems using the finite element formulation. Zbl 1055.65130
Li, Zhilin; Lin, Tao; Wu, Xiaohui
2003
An overview of the immersed interface method and its applications. Zbl 1028.65108
Li, Zhilin
2003
New formulations for interface problems in polar coordinates. Zbl 1040.65087
Li, Zhilin; Wang, Wei-Cheng; Chern, I-Liang; Lai, Ming-Chih
2003
...and 41 more Documents
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### Cited by 2,090 Authors

 59 Li, Zhilin 32 Lin, Tao 31 Lai, Mingchih 18 Hou, Songming 18 Wang, Liqun 18 Zhao, Shan 17 Gibou, Frédéric 16 Chen, Jinru 16 Wei, Guowei 15 Khoo, Boo Cheong 15 Lowengrub, John Samuel 15 Zhang, Zhiyue 14 Kwak, Do Young 14 Lin, Yanping 14 Shi, Liwei 13 He, Xiaoming 13 Zhang, Xu 12 Griffith, Boyce E. 12 Guo, Ruchi 11 Ito, Kazufumi 11 Zhao, Hongkai 10 Ji, Haifeng 10 Tan, Zhijun 10 Ying, Wenjun 9 Nürnberg, Robert 9 Peskin, Charles S. 9 Udaykumar, Holavanahalli S. 9 Xu, Sheng 9 Zhang, Lucy T. 8 Chen, Yanping 8 Jo, Gwanghyun 8 Tornberg, Anna-Karin 8 Zhang, Qian 7 Adjerid, Slimane 7 Feng, Xinlong 7 Hu, Wei-Fan 7 Kim, Junseok 7 Mittal, Rajat 7 Sotiropoulos, Fotis 7 Vulkov, Lubin G. 7 Xia, Kelin 7 Yang, Xinmin 6 Beale, J. Thomas 6 Belliard, Michel 6 Bhalla, Amneet Pal Singh 6 Cao, Yong 6 Fedkiw, Ronald P. 6 Geng, Weihua 6 Guy, Robert D. 6 Hou, Thomas Yizhao 6 Huang, Yunqing 6 Kandilarov, Juri D. 6 Kang, Myungjoo 6 Lim, Kian-Meng 6 Lin, Ping 6 Min, Chohong 6 Seol, Yunchang 6 Sethian, James A. 6 Shu, Chang 6 Song, Lina 6 Sun, Pengtao 6 Takeuchi, Shintaro 6 Taleei, Ameneh 6 Wang, Quanxiang 6 Yang, Xiaolei 6 Zhao, Jianping 6 Zhou, Xingcai 6 Zhu, Luoding 5 Auricchio, Ferdinando 5 Baiges, Joan 5 Boffi, Daniele 5 Chen, Duan 5 Cheng, Li-Tien 5 Codina, Ramon 5 Colella, Phillip 5 Dai, Weizhong 5 Dehghan Takht Fooladi, Mehdi 5 Deka, Bhupen 5 Dorn, Oliver 5 Fogelson, Aaron L. 5 Garcke, Harald 5 Gastaldi, Lucia 5 Guo, Hailong 5 Huang, Huaxiong 5 Jin, Shi 5 Kim, Yongsam 5 Layton, Anita T. 5 Le, Duc-Vinh 5 Nave, Jean-Christophe 5 Pan, Kejia 5 Qiao, Zhonghua 5 Rehberg, Joachim 5 Shyy, Wei 5 Tanguy, Sébastien 5 Teran, Joseph M. 5 Tsai, Yen-Hsi Richard 5 Wang, Z. Jane 5 Xu, Jianjun 5 Yang, Xu 5 Yeo, Khoon Seng ...and 1,990 more Authors
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### Cited in 175 Serials

 375 Journal of Computational Physics 75 Computers and Fluids 68 Computer Methods in Applied Mechanics and Engineering 63 Journal of Scientific Computing 61 Journal of Computational and Applied Mathematics 56 Computers & Mathematics with Applications 40 Applied Numerical Mathematics 33 International Journal for Numerical Methods in Engineering 25 Applied Mathematics and Computation 24 International Journal for Numerical Methods in Fluids 23 Journal of Fluid Mechanics 22 SIAM Journal on Scientific Computing 18 Engineering Analysis with Boundary Elements 18 Communications in Computational Physics 17 Numerical Methods for Partial Differential Equations 16 Applied Mathematics Letters 16 Advances in Applied Mathematics and Mechanics 13 Computational Mechanics 12 Applied Mathematical Modelling 11 Numerische Mathematik 10 Mathematics of Computation 9 Mathematics and Computers in Simulation 9 Numerical Algorithms 8 SIAM Journal on Numerical Analysis 8 International Journal of Computer Mathematics 8 Advances in Computational Mathematics 7 Journal of Optimization Theory and Applications 7 Numerical Functional Analysis and Optimization 7 Mathematical Problems in Engineering 7 International Journal of Numerical Analysis and Modeling 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Discrete and Continuous Dynamical Systems. Series B 5 Inverse Problems 5 Journal of Inequalities and Applications 5 Computational Geosciences 5 International Journal of Computational Methods 4 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 4 Optimization 4 Computing and Visualization in Science 4 International Journal of Computational Fluid Dynamics 4 Archives of Computational Methods in Engineering 4 Computational Methods in Applied Mathematics 4 Advances in Difference Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Computer Physics Communications 3 Journal of Mathematical Biology 3 Mathematical Methods in the Applied Sciences 3 Bulletin of Mathematical Biology 3 Applied Mathematics and Mechanics. (English Edition) 3 Japan Journal of Industrial and Applied Mathematics 3 SIAM Journal on Applied Mathematics 3 Communications in Numerical Methods in Engineering 3 Computational and Applied Mathematics 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 Advances in Numerical Analysis 3 Journal of Theoretical Biology 3 East Asian Journal on Applied Mathematics 3 Electronic Research Archive 3 Results in Applied Mathematics 2 Acta Mechanica 2 Bulletin of the Australian Mathematical Society 2 Journal of Engineering Mathematics 2 Mathematical Biosciences 2 Applied Mathematics and Optimization 2 BIT 2 Physica D 2 COMPEL 2 Proceedings of the National Academy of Sciences of the United States of America 2 Applied Mathematics. Series B (English Edition) 2 Physics of Fluids 2 Journal of Mathematical Sciences (New York) 2 Annales Mathématiques Blaise Pascal 2 Discrete Dynamics in Nature and Society 2 Interfaces and Free Boundaries 2 The ANZIAM Journal 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Industrial and Management Optimization 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Advances in Mathematical Physics 2 Journal of Applied Mathematics & Informatics 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Molecular Based Mathematical Biology 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Physica A 1 Wave Motion 1 Calcolo 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods ...and 75 more Serials
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### Cited in 36 Fields

 864 Numerical analysis (65-XX) 615 Fluid mechanics (76-XX) 423 Partial differential equations (35-XX) 236 Mechanics of deformable solids (74-XX) 88 Biology and other natural sciences (92-XX) 74 Optics, electromagnetic theory (78-XX) 44 Statistical mechanics, structure of matter (82-XX) 39 Classical thermodynamics, heat transfer (80-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 36 Operations research, mathematical programming (90-XX) 14 Ordinary differential equations (34-XX) 11 Computer science (68-XX) 11 Geophysics (86-XX) 10 Statistics (62-XX) 8 Integral equations (45-XX) 8 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 6 Information and communication theory, circuits (94-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operator theory (47-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX)