## Lai, Mingchih

Compute Distance To:
 Author ID: lai.mingchih Published as: Lai, Ming-Chih; Lai, Mingchih
 Documents Indexed: 72 Publications since 1995 1 Contribution as Editor Co-Authors: 59 Co-Authors with 66 Joint Publications 1,835 Co-Co-Authors
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### Co-Authors

 6 single-authored 13 Seol, Yunchang 12 Li, Zhilin 10 Hu, Wei-Fan 9 Kim, Yongsam 6 Ong, Kian Chuan 4 Peskin, Charles S. 3 Hsu, Shih-Hsuan 3 Huang, Huaxiong 3 Lin, Te-Sheng 3 Tseng, Yu-Hau 3 Tseng, Yu-Hou 2 Chen, Kuanyu 2 Chern, I-Liang 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 Chang, Che-Chia 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, Wei-Syuan 1 Lin, Xiaobiao 1 Liu, Hsi-Chi 1 Lu, Tzontzer 1 Misbah, Chaouqi 1 Park, Sangbeom 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
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### Serials

 26 Journal of Computational Physics 6 Computers and Fluids 4 Numerical Methods for Partial Differential Equations 4 SIAM Journal on Scientific Computing 4 Communications in Computational Physics 4 East Asian Journal on Applied Mathematics 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 Journal of Discrete Mathematical Sciences & Cryptography 2 Journal of Computational and Applied Mathematics 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
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### Fields

 49 Fluid mechanics (76-XX) 44 Numerical analysis (65-XX) 27 Partial differential equations (35-XX) 6 Mechanics of deformable solids (74-XX) 5 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Statistical mechanics, structure of matter (82-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 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

57 Publications have been cited 1,165 times in 822 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
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 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
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
Numerical simulation of moving contact lines with surfactant by immersed boundary method. Zbl 1364.76125
Lai, Ming-Chih; Tseng, Yu-Hau; Huang, Huaxiong
2010
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
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
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 note on finite difference discretizations for Poisson equation on a disk. Zbl 0984.65106
Lai, Ming-Chih
2001
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
Simulating binary fluid-surfactant dynamics by a phase field model. Zbl 1238.35106
Teng, Chun-Hao; Chern, I-Liang; Lai, Ming-Chih
2012
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
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
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
Numerical simulations of two-dimensional foam by the immersed boundary method. Zbl 1346.76139
Kim, Yongsam; Lai, Ming-Chih; Peskin, Charles S.
2010
A simple implementation of the immersed interface methods for Stokes flows with singular forces. Zbl 1194.76179
Lai, Ming-Chih; Tseng, Hsiao-Chieh
2008
Simulating the axisymmetric interfacial flows with insoluble surfactant immersed boundary method. Zbl 1208.76099
Lai, Ming-Chih; Huang, Chung-Yin; Huang, Yi-Min
2011
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 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 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
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
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 augmented method for free boundary problems with moving contact lines. Zbl 1242.76047
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai
2010
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 formally fourth-order accurate compact scheme for 3D Poisson equation in cylindrical coordinates. Zbl 1115.65122
Lai, Ming-Chih; Tseng, Jui-Ming
2007
New finite difference methods based on IIM for inextensible interfaces in incompressible flows. Zbl 1302.76131
Li, Zhilin; Lai, Ming-Chih
2011
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
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 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
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 short note on Navier-Stokes flows with an incompressible interface and its approximations. Zbl 1388.76054
Lai, Ming-Chih; Seol, Yunchang
2017
Fast direct solver for Poisson equation in a 2D elliptical domain. Zbl 1038.65107
Lai, Ming-Chih
2004
A level-set method for two-phase flows with soluble surfactant. Zbl 1380.76087
Xu, Jian-Jun; Shi, Weidong; Lai, Ming-Chih
2018
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
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
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 Newtonian vesicles in viscoelastic fluid. Zbl 1416.76228
Seol, Yunchang; Tseng, Yu-Hau; Kim, Yongsam; Lai, Ming-Chih
2019
An integral equation method for epitaxial step-flow growth simulations. Zbl 1097.65098
Huang, Jingfang; Lai, Ming-Chih; Xiang, Yang
2006
Fourth-order finite difference scheme for the incompressible Navier-Stokes equations in a disk. Zbl 1078.76050
Lai, Ming-Chih
2003
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
Spectrally accurate algorithm for points redistribution on closed curves. Zbl 1452.65037
Seol, Yunchang; Lai, Ming-Chih
2020
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 coupled immersed interface and grid based particle method for three-dimensional electrohydrodynamic simulations. Zbl 1453.76164
Hsu, Shih-Hsuan; Hu, Wei-Fan; 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
Unconditionally energy stable schemes for the inextensible interface problem with bending. Zbl 1428.65009
Lai, Ming-Chih; Ong, Kian Chuan
2019
A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant. Zbl 1452.76174
Hsu, Shih-Hsuan; Chu, Jay; Lai, Ming-Chih; Tsai, Richard
2019
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
2017
Spectrally accurate algorithm for points redistribution on closed curves. Zbl 1452.65037
Seol, Yunchang; Lai, Ming-Chih
2020
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 coupled immersed interface and grid based particle method for three-dimensional electrohydrodynamic simulations. Zbl 1453.76164
Hsu, Shih-Hsuan; Hu, Wei-Fan; 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
Unconditionally energy stable schemes for the inextensible interface problem with bending. Zbl 1428.65009
Lai, Ming-Chih; Ong, Kian Chuan
2019
A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant. Zbl 1452.76174
Hsu, Shih-Hsuan; Chu, Jay; Lai, Ming-Chih; Tsai, Richard
2019
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 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
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
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
2017
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
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
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
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
New finite difference methods based on IIM for inextensible interfaces in incompressible flows. Zbl 1302.76131
Li, Zhilin; 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 1,413 Authors

 43 Lai, Mingchih 29 Li, Zhilin 17 Khoo, Boo Cheong 14 Peskin, Charles S. 13 Griffith, Boyce E. 13 Seol, Yunchang 11 Hu, Wei-Fan 11 Shu, Chang 10 Kim, Yongsam 10 Wei, Guowei 9 Kim, Junseok 9 Tan, Zhijun 9 Zhu, Luoding 8 Beale, J. Thomas 8 Lin, Chao-An 7 Chen, Jinru 7 Greengard, Leslie F. 7 Lin, Tao 6 Baiges, Joan 6 Codina, Ramon 6 Constantin, Peter 6 Garcke, Harald 6 Huang, Huaxiong 6 Ji, Haifeng 6 Li, Yibao 6 Lowengrub, John Samuel 6 Misbah, Chaouqi 6 Ying, Wenjun 5 Barnett, Alex H. 5 Barrett, John William 5 Bhalla, Amneet Pal Singh 5 Guy, Robert D. 5 Karachik, Valeriĭ Valentinovich 5 Laadhari, Aymen 5 Le, Duc-Vinh 5 Lim, Kian-Meng 5 Lin, Wen-Wei 5 Nürnberg, Robert 5 Patankar, Neelesh A. 5 Tlupova, Svetlana 5 Wang, Weichung 5 Xia, Kelin 5 Xu, Jianjun 5 Xu, Sheng 5 Yang, Xiaofeng 5 Zhang, Lucy T. 5 Zhang, Xing 4 Abreu-Blaya, Ricardo 4 Adams, Nikolaus A. 4 Choi, Haecheon 4 Colonius, Tim 4 Dehghan Takht Fooladi, Mehdi 4 He, Guowei 4 Heltai, Luca 4 Hwang, Tsung-Min 4 Ito, Kazufumi 4 Khatri, Shilpa 4 Lin, Pengzhi 4 Liu, Gui-Rong 4 Ong, Kian Chuan 4 Quaife, Bryan D. 4 Ray, Rajendra K. 4 Ren, Lei 4 Ren, Weiqing 4 Rui, Hongxing 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 Wang, Liqun 4 Wang, Xue 4 Zhang, Zhen 4 Zhao, Jianping 4 Zhao, Shan 3 Bory Reyes, Juan 3 Chen, Zhen 3 Chern, I-Liang 3 Cordoba, Diego 3 Dai, Weizhong 3 Eldredge, Jeff D. 3 Favier, Julien 3 Feng, Hongsong 3 Feng, Xinlong 3 Gao, Yuan 3 Gómez-Serrano, Javier 3 Grigoriadis, Dimokratis G. E. 3 Hessari, Peyman 3 Hou, Songming 3 Hou, Yanren 3 Hsu, Shih-Hsuan 3 Huang, Wei-Xi 3 Ignatova, Mihaela 3 Kang, Myungjoo 3 Karniadakis, George Em ...and 1,313 more Authors
all top 5

### Cited in 120 Serials

 299 Journal of Computational Physics 77 Computers and Fluids 38 Computer Methods in Applied Mechanics and Engineering 27 Journal of Fluid Mechanics 24 Computers & Mathematics with Applications 21 Journal of Computational and Applied Mathematics 21 Journal of Scientific Computing 19 Applied Mathematics and Computation 16 International Journal for Numerical Methods in Fluids 15 SIAM Journal on Scientific Computing 13 Applied Mathematical Modelling 12 Communications in Computational Physics 10 International Journal for Numerical Methods in Engineering 9 Applied Mathematics Letters 7 Numerical Algorithms 7 European Journal of Mechanics. B. Fluids 7 Advances in Applied Mathematics and Mechanics 6 Physica D 6 Applied Numerical Mathematics 6 Computational Mechanics 6 International Journal of Computational Methods 5 Computer Physics Communications 5 Numerical Methods for Partial Differential Equations 5 Physics of Fluids 4 Numerische Mathematik 4 International Journal of Computer Mathematics 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Advances in Computational Mathematics 4 Mathematical Problems in Engineering 4 Advances in Difference Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 East Asian Journal on Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Biology 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Mathematics and Computers in Simulation 3 Applied Mathematics and Mechanics. (English Edition) 3 Computational Mathematics and Mathematical Physics 3 Proceedings of the National Academy of Sciences of the United States of America 3 International Journal of Numerical Analysis and Modeling 3 Annals of PDE 2 Journal of Engineering Mathematics 2 Journal of Mathematical Analysis and Applications 2 Advances in Mathematics 2 BIT 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 SIAM Journal on Applied Mathematics 2 Computational and Applied Mathematics 2 Advances in Applied Clifford Algebras 2 Engineering Analysis with Boundary Elements 2 International Journal of Computational Fluid Dynamics 2 Interfaces and Free Boundaries 2 Computational Geosciences 2 Archives of Computational Methods in Engineering 2 International Journal for Numerical Methods in Biomedical Engineering 2 Journal of Theoretical Biology 2 AIMS Mathematics 1 Acta Mechanica 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Heat and Mass Transfer 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Biosciences 1 Mathematical Notes 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 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 Japan Journal of Industrial and Applied Mathematics 1 Applications of 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 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 ...and 20 more Serials
all top 5

### Cited in 33 Fields

 572 Fluid mechanics (76-XX) 435 Numerical analysis (65-XX) 212 Partial differential equations (35-XX) 156 Mechanics of deformable solids (74-XX) 61 Biology and other natural sciences (92-XX) 24 Statistical mechanics, structure of matter (82-XX) 21 Geophysics (86-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Potential theory (31-XX) 8 Optics, electromagnetic theory (78-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-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)