# zbMATH — the first resource for mathematics

## Lai, Mingchih

Compute Distance To:
 Author ID: lai.mingchih Published as: Lai, Ming-Chih; Lai, Mingchih; Lai, M.
 Documents Indexed: 65 Publications since 1995
all top 5

#### Co-Authors

 6 single-authored 12 Li, Zhilin 9 Kim, Yongsam 8 Hu, Wei-Fan 8 Seol, Yunchang 4 Peskin, Charles S. 3 Huang, Huaxiong 3 Ong, Kian Chuan 3 Tseng, Yu-Hau 3 Tseng, Yu-Hou 2 Chen, Kuanyu 2 Chern, I-Liang 2 Hsu, Shih-Hsuan 2 Huang, Chung-Yin 2 Ito, Kazufumi 2 Li, Yihlang 2 Lin, Wen-Wei 2 Shiue, Ming-Cheng 2 Tseng, Hsiao-Chieh 2 Wang, Wei-Cheng 2 Wu, Chin-Tien 2 Xu, Jianjun 2 Young, Yuan-Nan 2 Zhang, Zhiyue 1 Beale, J. Thomas 1 Chu, Jay 1 Constantin, Peter 1 Feng, Ko-An 1 He, Guowei 1 Hsieh, Po-Wen 1 Hsu, Ching-Hung 1 Huang, Jingfang 1 Huang, Yimin 1 Huang, Yunqing 1 Lin, Chao-An 1 Lin, Te-Sheng 1 Lin, Xiaobiao 1 Liu, Hsi-Chi 1 Lu, Tzontzer 1 Misbah, Chaouqi 1 Peng, Xiaofei 1 Sharma, Ramjee 1 Shen, Jie 1 Shi, Weidong 1 Su, Shen-Wei 1 Teng, Chun-Hao 1 Tsai, Yen-Hsi Richard 1 Tseng, Jui-Ming 1 Wang, Weichung 1 Wu, Jiahong 1 Xiang, Yang 1 Xu, Chuanju 1 Yan, Jinliang 1 Yang, Suh-Yuh 1 You, Cheng-Shu 1 Yuan, Shyan-Ming 1 Zhao, Hongkai
all top 5

#### Serials

 20 Journal of Computational Physics 6 Computers and Fluids 4 Numerical Methods for Partial Differential Equations 4 SIAM Journal on Scientific Computing 4 East Asian Journal on Applied Mathematics 3 Journal of Scientific Computing 3 Journal of Discrete Mathematical Sciences & Cryptography 3 Communications in Computational Physics 2 Journal of Computational and Applied Mathematics 2 Applied Mathematics Letters 2 International Journal of Numerical Analysis and Modeling 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Matimyás Matematika 1 Applied Mathematics and Computation 1 SIAM Journal on Numerical Analysis 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Computational Geosciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Advances in Applied Mathematics and Mechanics
all top 5

#### Fields

 43 Fluid mechanics (76-XX) 39 Numerical analysis (65-XX) 23 Partial differential equations (35-XX) 5 Mechanics of deformable solids (74-XX) 5 Biology and other natural sciences (92-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

52 Publications have been cited 1,008 times in 725 Documents Cited by Year
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
Lai, Ming-Chih; Peskin, Charles S.
2000
The immersed interface method for the Navier-Stokes equations with singular forces. Zbl 1065.76568
Li, Zhilin; Lai, Ming-Chih
2001
An immersed boundary technique for simulating complex flows with rigid boundary. Zbl 1177.76299
Su, Shen-Wei; Lai, Ming-Chih; Lin, Chao-An
2007
An immersed boundary method for interfacial flows with insoluble surfactant. Zbl 1201.76182
Lai, Ming-Chih; Tseng, Yu-Hau; Huang, Huaxiong
2008
A method for computing nearly singular integrals. Zbl 0988.65025
Beale, J. Thomas; Lai, Ming-Chih
2001
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
An augmented approach for Stokes equations with a discontinuous viscosity and singular forces. Zbl 1177.76291
Li, Zhilin; Ito, Kazufumi; Lai, Ming-Chih
2007
Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method. Zbl 1305.76075
Kim, Yongsam; Lai, Ming-Chih
2010
New formulations for interface problems in polar coordinates. Zbl 1040.65087
Li, Zhilin; Wang, Wei-Cheng; Chern, I-Liang; Lai, Ming-Chih
2003
An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows. Zbl 1349.76612
Hu, Wei-Fan; Kim, Yongsam; Lai, Ming-Chih
2014
New numerical results for the surface quasi-geostrophic equation. Zbl 1238.86001
Constantin, Peter; Lai, Ming-Chih; Sharma, Ramjee; Tseng, Yu-Hou; Wu, Jiahong
2012
Numerical simulation of moving contact lines with surfactant by immersed boundary method. Zbl 1364.76125
Lai, Ming-Chih; Tseng, Yu-Hau; Huang, Huaxiong
2010
A simple compact fourth-order Poisson solver on polar geometry. Zbl 1016.65093
Lai, Ming-Chih
2002
Fast direct solvers for Poisson equation on 2D polar and spherical geometries. Zbl 0993.65114
Lai, Ming-Chih; Wang, Wei-Cheng
2002
A note on finite difference discretizations for Poisson equation on a disk. Zbl 0984.65106
Lai, Ming-Chih
2001
A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries. Zbl 1011.65084
Lai, Ming-Chih; Lin, Wen-Wei; Wang, Weichung
2002
Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows. Zbl 1070.65121
Lai, Ming-Chih; Liu, Hsi-Chi
2005
A conservative scheme for solving coupled surface-bulk convection-diffusion equations with an application to interfacial flows with soluble surfactant. Zbl 1349.35180
Chen, Kuan-Yu; Lai, Ming-Chih
2014
A fast iterative solver for the variable coefficient diffusion equation on a disk. Zbl 1073.65115
Lai, Ming-Chih; Tseng, Yu-Hou
2005
A simple Dufort-Frankel-type scheme for the Gross-Pitaevskii equation of Bose-Einstein condensates on different geometries. Zbl 1050.81079
Lai, Ming-Chih; Huang, Chung-Yin; Lin, Te-Sheng
2004
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
2009
Simulating binary fluid-surfactant dynamics by a phase field model. Zbl 1238.35106
Teng, Chun-Hao; Chern, I-Liang; Lai, Ming-Chih
2012
Simulating the axisymmetric interfacial flows with insoluble surfactant immersed boundary method. Zbl 1208.76099
Lai, Ming-Chih; Huang, Chung-Yin; Huang, Yi-Min
2011
Numerical simulations of two-dimensional foam by the immersed boundary method. Zbl 1346.76139
Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.
2010
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
A simple implementation of the immersed interface methods for Stokes flows with singular forces. Zbl 1194.76179
Lai, Ming-Chih; Tseng, Hsiao-Chieh
2008
A hybrid immersed boundary and immersed interface method for electrohydrodynamic simulations. Zbl 1351.76165
Hu, Wei-Fan; Lai, Ming-Chih; Young, Yuan-Nan
2015
New finite difference methods based on IIM for inextensible interfaces in incompressible flows. Zbl 1302.76131
Li, Zhilin; Lai, Ming-Chih
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 fractional step immersed boundary method for Stokes flow with an inextensible interface enclosing a solid particle. Zbl 1255.76026
Lai, Ming-Chih; Hu, Wei-Fan; Lin, Wen-Wei
2012
A formally fourth-order accurate compact scheme for 3D Poisson equation in cylindrical coordinates. Zbl 1115.65122
Lai, Ming-Chih; Tseng, Jui-Ming
2007
A note on pressure accuracy in immersed boundary method for Stokes flow. Zbl 1416.76098
Chen, Kuan-Yu; Feng, Ko-An; Kim, Yongsam; Lai, Ming-Chih
2011
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
Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method. Zbl 1349.76938
Hu, Wei-Fan; Lai, Ming-Chih; Seol, Yunchang; Young, Yuan-Nan
2016
An immersed boundary method for simulating vesicle dynamics in three dimensions. Zbl 1351.76183
Seol, Yunchang; Hu, Wei-Fan; Kim, Yongsam; Lai, Ming-Chih
2016
The immersed boundary method for two-dimensional foam with topological changes. Zbl 1373.76176
Kim, Yongsam; Seol, Yunchang; Lai, Ming-Chih; Peskin, Charles S.
2012
Fast direct solver for Poisson equation in a 2D elliptical domain. Zbl 1038.65107
Lai, Ming-Chih
2004
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
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 parametric derivation of the surfactant transport equation along a deforming fluid interface. Zbl 1419.35161
Huang, Huaxiong; Lai, Ming-Chih; Tseng, Hsiao-Chieh
2009
An unconditionally energy stable immersed boundary method with application to vesicle dynamics. Zbl 1426.76540
Hu, Wei-Fan; Lai, Ming-Chih
2013
A level-set method for two-phase flows with soluble surfactant. Zbl 1380.76087
Xu, Jian-Jun; Shi, Weidong; Lai, Ming-Chih
2018
An unconditionally energy stable penalty immersed boundary method for simulating the dynamics of an inextensible interface interacting with a solid particle. Zbl 1329.76233
Hsieh, Po-Wen; Lai, Ming-Chih; Yang, Suh-Yuh; You, Cheng-Shu
2015
A short note on Navier-Stokes flows with an incompressible interface and its approximations. Zbl 1388.76054
Lai, Ming-Chih; Seol, Yunchang
2017
Numerical simulations of three-dimensional foam by the immersed boundary method. Zbl 1349.76619
Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.; Seol, Yunchang
2014
An integral equation method for epitaxial step-flow growth simulations. Zbl 1097.65098
Huang, Jingfang; Lai, Ming-Chih; Xiang, Yang
2006
An efficient semi-coarsening multigrid method for variable diffusion problems in cylindrical coordinates. Zbl 1118.65128
Lai, Ming-Chih; Wu, Chin-Tien; Tseng, Yu-Hou
2007
Fourth-order finite difference scheme for the incompressible Navier-Stokes equations in a disk. Zbl 1078.76050
Lai, Ming-Chih
2003
Convergence of the MAC scheme for the Stokes/Darcy coupling problem. Zbl 1404.65218
Shiue, Ming-Cheng; Ong, Kian Chuan; Lai, Ming-Chih
2018
A coupled immersed boundary and immersed interface method for interfacial flows with soluble surfactant. Zbl 1390.76650
Hu, Wei-Fan; Lai, Ming-Chih; Misbah, Chaouqi
2018
A simple projection method for the coupled Navier-Stokes and Darcy flows. Zbl 1411.76162
Lai, Ming-Chih; Shiue, Ming-Cheng; Ong, Kian Chuan
2019
An immersed boundary method for simulating Newtonian vesicles in viscoelastic fluid. Zbl 1416.76228
Seol, Yunchang; Tseng, Yu-Hau; Kim, Yongsam; Lai, Ming-Chih
2019
A simple projection method for the coupled Navier-Stokes and Darcy flows. Zbl 1411.76162
Lai, Ming-Chih; Shiue, Ming-Cheng; Ong, Kian Chuan
2019
An immersed boundary method for simulating Newtonian vesicles in viscoelastic fluid. Zbl 1416.76228
Seol, Yunchang; Tseng, Yu-Hau; Kim, Yongsam; Lai, Ming-Chih
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 level-set method for two-phase flows with soluble surfactant. Zbl 1380.76087
Xu, Jian-Jun; Shi, Weidong; Lai, Ming-Chih
2018
Convergence of the MAC scheme for the Stokes/Darcy coupling problem. Zbl 1404.65218
Shiue, Ming-Cheng; Ong, Kian Chuan; Lai, Ming-Chih
2018
A coupled immersed boundary and immersed interface method for interfacial flows with soluble surfactant. Zbl 1390.76650
Hu, Wei-Fan; Lai, Ming-Chih; Misbah, Chaouqi
2018
A short note on Navier-Stokes flows with an incompressible interface and its approximations. Zbl 1388.76054
Lai, Ming-Chih; Seol, Yunchang
2017
Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method. Zbl 1349.76938
Hu, Wei-Fan; Lai, Ming-Chih; Seol, Yunchang; Young, Yuan-Nan
2016
An immersed boundary method for simulating vesicle dynamics in three dimensions. Zbl 1351.76183
Seol, Yunchang; Hu, Wei-Fan; Kim, Yongsam; Lai, Ming-Chih
2016
A hybrid immersed boundary and immersed interface method for electrohydrodynamic simulations. Zbl 1351.76165
Hu, Wei-Fan; Lai, Ming-Chih; Young, Yuan-Nan
2015
An unconditionally energy stable penalty immersed boundary method for simulating the dynamics of an inextensible interface interacting with a solid particle. Zbl 1329.76233
Hsieh, Po-Wen; Lai, Ming-Chih; Yang, Suh-Yuh; You, Cheng-Shu
2015
An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows. Zbl 1349.76612
Hu, Wei-Fan; Kim, Yongsam; Lai, Ming-Chih
2014
A conservative scheme for solving coupled surface-bulk convection-diffusion equations with an application to interfacial flows with soluble surfactant. Zbl 1349.35180
Chen, Kuan-Yu; Lai, Ming-Chih
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
Numerical simulations of three-dimensional foam by the immersed boundary method. Zbl 1349.76619
Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.; Seol, Yunchang
2014
An unconditionally energy stable immersed boundary method with application to vesicle dynamics. Zbl 1426.76540
Hu, Wei-Fan; Lai, Ming-Chih
2013
New numerical results for the surface quasi-geostrophic equation. Zbl 1238.86001
Constantin, Peter; Lai, Ming-Chih; Sharma, Ramjee; Tseng, Yu-Hou; Wu, Jiahong
2012
Simulating binary fluid-surfactant dynamics by a phase field model. Zbl 1238.35106
Teng, Chun-Hao; Chern, I-Liang; Lai, Ming-Chih
2012
A fractional step immersed boundary method for Stokes flow with an inextensible interface enclosing a solid particle. Zbl 1255.76026
Lai, Ming-Chih; Hu, Wei-Fan; Lin, Wen-Wei
2012
The immersed boundary method for two-dimensional foam with topological changes. Zbl 1373.76176
Kim, Yongsam; Seol, Yunchang; Lai, Ming-Chih; Peskin, Charles S.
2012
Simulating the axisymmetric interfacial flows with insoluble surfactant immersed boundary method. Zbl 1208.76099
Lai, Ming-Chih; Huang, Chung-Yin; Huang, Yi-Min
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
New finite difference methods based on IIM for inextensible interfaces in incompressible flows. Zbl 1302.76131
Li, Zhilin; Lai, Ming-Chih
2011
A note on pressure accuracy in immersed boundary method for Stokes flow. Zbl 1416.76098
Chen, Kuan-Yu; Feng, Ko-An; Kim, Yongsam; Lai, Ming-Chih
2011
Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method. Zbl 1305.76075
Kim, Yongsam; Lai, Ming-Chih
2010
Numerical simulation of moving contact lines with surfactant by immersed boundary method. Zbl 1364.76125
Lai, Ming-Chih; Tseng, Yu-Hau; Huang, Huaxiong
2010
Numerical simulations of two-dimensional foam by the immersed boundary method. Zbl 1346.76139
Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.
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
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains. Zbl 1275.76170
Ito, Kazufumi; Lai, Ming-Chih; Li, Zhilin
2009
A parametric derivation of the surfactant transport equation along a deforming fluid interface. Zbl 1419.35161
Huang, Huaxiong; Lai, Ming-Chih; Tseng, Hsiao-Chieh
2009
An immersed boundary method for interfacial flows with insoluble surfactant. Zbl 1201.76182
Lai, Ming-Chih; Tseng, Yu-Hau; Huang, Huaxiong
2008
A simple implementation of the immersed interface methods for Stokes flows with singular forces. Zbl 1194.76179
Lai, Ming-Chih; Tseng, Hsiao-Chieh
2008
An immersed boundary technique for simulating complex flows with rigid boundary. Zbl 1177.76299
Su, Shen-Wei; Lai, Ming-Chih; Lin, Chao-An
2007
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 formally fourth-order accurate compact scheme for 3D Poisson equation in cylindrical coordinates. Zbl 1115.65122
Lai, Ming-Chih; Tseng, Jui-Ming
2007
An efficient semi-coarsening multigrid method for variable diffusion problems in cylindrical coordinates. Zbl 1118.65128
Lai, Ming-Chih; Wu, Chin-Tien; Tseng, Yu-Hou
2007
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
An integral equation method for epitaxial step-flow growth simulations. Zbl 1097.65098
Huang, Jingfang; Lai, Ming-Chih; Xiang, Yang
2006
Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows. Zbl 1070.65121
Lai, Ming-Chih; Liu, Hsi-Chi
2005
A fast iterative solver for the variable coefficient diffusion equation on a disk. Zbl 1073.65115
Lai, Ming-Chih; Tseng, Yu-Hou
2005
A simple Dufort-Frankel-type scheme for the Gross-Pitaevskii equation of Bose-Einstein condensates on different geometries. Zbl 1050.81079
Lai, Ming-Chih; Huang, Chung-Yin; Lin, Te-Sheng
2004
Fast direct solver for Poisson equation in a 2D elliptical domain. Zbl 1038.65107
Lai, Ming-Chih
2004
New formulations for interface problems in polar coordinates. Zbl 1040.65087
Li, Zhilin; Wang, Wei-Cheng; Chern, I-Liang; Lai, Ming-Chih
2003
Fourth-order finite difference scheme for the incompressible Navier-Stokes equations in a disk. Zbl 1078.76050
Lai, Ming-Chih
2003
A simple compact fourth-order Poisson solver on polar geometry. Zbl 1016.65093
Lai, Ming-Chih
2002
Fast direct solvers for Poisson equation on 2D polar and spherical geometries. Zbl 0993.65114
Lai, Ming-Chih; Wang, Wei-Cheng
2002
A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries. Zbl 1011.65084
Lai, Ming-Chih; Lin, Wen-Wei; Wang, Weichung
2002
The immersed interface method for the Navier-Stokes equations with singular forces. Zbl 1065.76568
Li, Zhilin; Lai, Ming-Chih
2001
A method for computing nearly singular integrals. Zbl 0988.65025
Beale, J. Thomas; Lai, Ming-Chih
2001
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 note on finite difference discretizations for Poisson equation on a disk. Zbl 0984.65106
Lai, Ming-Chih
2001
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. Zbl 0954.76066
Lai, Ming-Chih; Peskin, Charles S.
2000
all top 5

#### Cited by 1,246 Authors

 36 Lai, Mingchih 27 Li, Zhilin 15 Khoo, Boo Cheong 14 Peskin, Charles S. 11 Griffith, Boyce E. 10 Wei, Guowei 9 Hu, Wei-Fan 9 Kim, Yongsam 9 Shu, Chang 9 Zhu, Luoding 8 Beale, J. Thomas 8 Lin, Chao-An 7 Greengard, Leslie F. 7 Lin, Tao 7 Seol, Yunchang 7 Tan, Zhijun 6 Baiges, Joan 6 Chen, Jinru 6 Codina, Ramon 6 Constantin, Peter 6 Garcke, Harald 6 Kim, Junseok 6 Lowengrub, John Samuel 6 Misbah, Chaouqi 5 Barrett, John W. 5 Guy, Robert D. 5 Huang, Huaxiong 5 Ji, Haifeng 5 Laadhari, Aymen 5 Li, Yibao 5 Lim, Kian-Meng 5 Lin, Wen-Wei 5 Nürnberg, Robert 5 Patankar, Neelesh A. 5 Wang, Weichung 5 Xia, Kelin 5 Xu, Jianjun 5 Xu, Sheng 5 Ying, Wenjun 5 Zhang, Lucy T. 5 Zhang, Xing 4 Adams, Nikolaus A. 4 Barnett, Alex H. 4 Bhalla, Amneet Pal Singh 4 Choi, Haecheon 4 Colonius, Tim 4 He, Guowei 4 Heltai, Luca 4 Hwang, Tsung-Min 4 Ito, Kazufumi 4 Karachik, Valeriĭ Valentinovich 4 Khatri, Shilpa 4 Le, Duc-Vinh 4 Lin, Pengzhi 4 Liu, Gui-Rong 4 Quaife, Bryan D. 4 Ray, Rajendra K. 4 Ren, Lei 4 Sethian, James A. 4 Stockie, John M. 4 Sung, Hyung Jin 4 Takeuchi, Shintaro 4 Teran, Joseph M. 4 Tian, Fangbao 4 Tornberg, Anna-Karin 4 Tseng, Yu-Hau 4 Udaykumar, Holavanahalli S. 4 Veerapaneni, Shravan Kumar 4 Yang, Xiaofeng 4 Zhao, Jianping 3 Abreu-Blaya, Ricardo 3 Bory Reyes, Juan 3 Chern, I-Liang 3 Cordoba, Diego 3 Dehghan Takht Fooladi, Mehdi 3 Favier, Julien 3 Gómez-Serrano, Javier 3 Grigoriadis, Dimokratis G. E. 3 Hessari, Peyman 3 Hou, Songming 3 Hou, Yanren 3 Huang, Wei-Xi 3 Ignatova, Mihaela 3 Karniadakis, George Em 3 Klöckner, Andreas 3 Kou, Jisheng 3 Layton, Anita T. 3 Lew, Adrian J. 3 Liao, Chuan-Chieh 3 Lin, Sanyih 3 Lin, Yanping 3 Liu, Haihu 3 Macías-Díaz, Jorge Eduardo 3 Marques, Alexandre Noll 3 Maxey, Martin R. 3 Miller, Laura A. 3 Mittal, Rajat 3 Mori, Yoichiro 3 Nave, Jean-Christophe 3 Prosperetti, Andrea ...and 1,146 more Authors
all top 5

#### Cited in 110 Serials

 271 Journal of Computational Physics 72 Computers and Fluids 32 Computer Methods in Applied Mechanics and Engineering 26 Journal of Fluid Mechanics 23 Computers & Mathematics with Applications 19 Journal of Computational and Applied Mathematics 19 Journal of Scientific Computing 18 Applied Mathematics and Computation 16 International Journal for Numerical Methods in Fluids 11 Applied Mathematical Modelling 11 SIAM Journal on Scientific Computing 10 International Journal for Numerical Methods in Engineering 7 Applied Mathematics Letters 7 Numerical Algorithms 6 Computational Mechanics 6 European Journal of Mechanics. B. Fluids 6 Advances in Applied Mathematics and Mechanics 5 Computer Physics Communications 5 Physica D 5 Applied Numerical Mathematics 5 Numerical Methods for Partial Differential Equations 5 Physics of Fluids 5 International Journal of Computational Methods 4 Numerische Mathematik 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Mathematical Problems in Engineering 4 East Asian Journal on Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Applied Mathematics and Mechanics. (English Edition) 3 Proceedings of the National Academy of Sciences of the United States of America 3 Advances in Difference Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Annals of PDE 2 Journal of Engineering Mathematics 2 Journal of Mathematical Biology 2 BIT 2 Mathematics and Computers in Simulation 2 SIAM Journal on Numerical Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Mathematics 2 SIAM Journal on Applied Mathematics 2 Computational and Applied Mathematics 2 Advances in Applied Clifford Algebras 2 Advances in Computational Mathematics 2 Engineering Analysis with Boundary Elements 2 Interfaces and Free Boundaries 2 Archives of Computational Methods in Engineering 2 International Journal for Numerical Methods in Biomedical Engineering 2 Journal of Theoretical Biology 1 Acta Mechanica 1 Communications in Mathematical Physics 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Mathematical Notes 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 Computational Statistics and Data Analysis 1 Journal of Nonlinear Science 1 Russian Mathematics 1 Communications in Numerical Methods in Engineering 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Difference Equations and Applications 1 Science in China. Series E 1 Journal of Inequalities and Applications 1 Matematicheskie Trudy 1 Discrete Dynamics in Nature and Society 1 Journal of Mathematical Fluid Mechanics 1 Flow, Turbulence and Combustion 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 International Journal of Modern Physics C 1 Journal of Turbulence 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Sādhanā 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Mediterranean Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Mathematical Biosciences and Engineering 1 Acta Mechanica Sinica 1 Communications in Applied Mathematics and Computational Science 1 Computational & Mathematical Methods in Medicine ...and 10 more Serials
all top 5

#### Cited in 33 Fields

 505 Fluid mechanics (76-XX) 376 Numerical analysis (65-XX) 186 Partial differential equations (35-XX) 135 Mechanics of deformable solids (74-XX) 55 Biology and other natural sciences (92-XX) 21 Statistical mechanics, structure of matter (82-XX) 18 Geophysics (86-XX) 11 Classical thermodynamics, heat transfer (80-XX) 8 Potential theory (31-XX) 8 Optics, electromagnetic theory (78-XX) 6 Mechanics of particles and systems (70-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 3 Functions of a complex variable (30-XX) 3 Differential geometry (53-XX) 3 Quantum theory (81-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX)