賴明治（Ming-Chih Lai）終身講座教授兼理學院院長

聯絡方式

• Email: mclai@nycu.edu.tw
• 電話: 03-5131361，或分機：31361
• 傳真: 03-572-4679
• 地址: 新竹市大學路1001號 陽明交通大學 應用數學系
• 相關網站: https://jupiter.math.nycu.edu.tw/~mclai/  

近兩學期教授課程

• 112 學年度第一學期：
  • 科學計算導論


• 111 學年度第二學期：
  • 數值偏微分方程專題

履歷

• 學歷
  • 美國紐約大學庫朗數學學院數學博士 (1993/09~1998/09)
  • 清華大學應用數學所碩士 (1988/09 ~ 1990/06)
  • 中興大學應用數學系學士 (1984/09 ~ 1988/06)
• 學術專長暨研究領域
  • 機器學習
  • 科學計算
  • 流體力學
  • 偏微分方程數值方法
• 學術經歷與榮譽

  學術經歷

  • 陽明交通大學理學院院長 (2021/08 ~)
  • 陽明交通大學終身講座教授 (2021/01 ~)
  • 陽明交通大學國際半導體產業學院合聘教授 (2020/02 ~ )
  • 陽明交通大學智慧科學暨綠能學院(AI學院)合聘教授(2019/08 ~ )
  • 台灣工業與應用數學會理事長 (2018/06 ~ 2020/05 )
  • 中華民國數學會 理事長 (2016/01 ~ 2017/12 )
  • 理論科學研究中心數學組 副主任（2016/01 ~ 2020/12）
  • 交通大學 講座教授 (2014/12 ~ 2020/12)
  • 中央研究院合聘研究員 (2013/08 ~ )
  • 交通大學 特聘教授 (2011/06~ 2014/11)
  • 國科會自然處數學學門 召集人 (2012/01~ 2014/12)
  • SIAM 東亞分會(EASIAM)Vice President(2011/01~2012/12), President (2013/01~ 2014/12)
  • 香港浸會大學 訪問教授 (2013/01~2013/05)
  • 日本京都大學數理解析研究所 訪問教授 (2012/09~ 2012/12)
  • 交通大學數學建模與科學計算中心 主任(2009/08~2012/07, 2014/08 ~ )
  • 國科會自然處 數學學門審議委員(2009/01~2011/12)
  • 交通大學應用數學系 主任 (2007/08~2009/07)
  • 交通大學應用數學系 教授 (2005/08~)
  • 國科會數學研究推動中心審議委員(2005/01~2007/12 )
  • 國科會理論科學研究中心數學組學術委員(2005~2013)，執行委員 (2012~2013)
  • 交通大學應用數學系 副教授 (2002/08~2005/07)
  • 中正大學數學系助理教授 (1999/08~2002/07)
  • 美國杜克大學博士後研究 (1998/08~1999/07)

  學術榮譽：

  • 台灣工業與應用數學會會士 (2021)
  • 第22屆國立中興大學傑出校友 (2018)
  • 第21屆教育部國家講座主持人（2017）
  • 第58屆教育部學術獎 (2014)
  • 國科會傑出研究獎 (2011)
  • 100年度中華民國數學會 學術獎(2011)
  • 國科會傑出學者研究計畫(2009/08~2012/07)
  • 交通大學學術研究獎 (2005)
  • 國科會傑出研究獎 (2003)
  • 交通大學 理學院院長獎 (2003/10)
  • Kurt O. Friedrichs 傑出畢業論文獎: NYU-Courant Institute (1999/04)

  期刊編輯：

  • Communications in Computational Physics (IF=1.813), 2012 -
  • East Asian Journal on Applied Mathematics (IF=0.923), 2010 -
  • Taiwanese Journal of Mathematics, 2014/08 - 2017/07
  • Journal of Biological Systems, 2013 - 2015
  • Advances in Applied Mathematics and Mechanics, 2009 -2018/04 

指導研究生

• 已畢業博士生
  • 曾昱豪 (2009/07, 目前任職高雄大學)
  • 陳冠羽 (2013, 目前任職台積電)
  • 胡偉帆 (2014/06, 目前任職中央大學)
  • 徐仕軒 (2019/06, 目前任職台積電)
  • 謝漢徵 (2021/06 )

著作選集

(A)   Refereed Papers：

1. M.-C. Lai and C. S. Peskin, An immersed boundary method with formal second-order accuracy and reduced numerical viscosity, Journal of Computational Physics, 160, 705-719 (2000).
2. M.-C. Lai and Z. Li, A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane , Applied Mathematics Letters 14, vol 2 , 149-154, (2001).
3. J. T. Beale and M.-C. Lai, A method for computing nearly singular integrals , SIAM J. on Numerical Analysis, vol 38, No 6, 1902-1925, (2001).
4. M.-C. Lai, A note on finite difference discretizations for Poisson equation on a disk , Numerical Methods for Partial Differential Equations, vol 17, issue 3, 199-203, (2001).
5. Z. Li and M.-C. Lai, The immersed interface method for the Navier-Stokes equations with singular forces , Journal of Computational Physics, vol 171, No 2, 822-842, (2001).
6. M.-C. Lai and W.-C. Wang, Fast direct solvers for Poisson equation on 2D polar and spherical geometries , Numerical Methods for Partial Differential Equations vol 18, 56-68, (2002).
7. M.-C. Lai, W.-W. Lin and W. Wang, A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries , IMA J. of Numerical Analysis, vol 22, No 4, 537-548, (2002).
8. M.-C. Lai, A simple compact fourth-order Poisson solver on polar geometry , Journal of Computational Physics, vol 182, 337-345, (2002).
9. M.-C. Lai, Fast Poisson solver in a three-dimensional ellipsoid , Contemporary Mathematics , AMS, vol 329, 203-208, (2003).
10. Z. Li, W.-C. Wang, I.-L. Chern and M.-C. Lai, New formulations for interface problems in polar coordinates, SIAM J. on Scientific Computing, vol 25, No 1, 224-245, (2003).
11. K.-H. Chiam, M.-C. Lai and H. S. Greenside, Efficient algorithm on a nonstaggered mesh for simulating Rayleigh-Benard convection in a box , Physical Review E , 68, 026705, (2003).
12. M.-C. Lai, Fourth-order finite difference scheme for the incompressible Navier-Stokes equations in a disk , International Journal for Numerical Methods in Fluids , vol. 42, 909-922, (2003).
13. M.-C. Lai, Fast direct solver for Poisson equation in a 2D elliptical domain, Numerical Methods for Partial Differential Equations , vol 20, 72-81, (2004).
14. M.-C. Lai, C.-Y. Huang and T.-S. Lin, A simple Dufort-Frankel type scheme for the Gross-Pitaevskii equation of Bose-Einstein condensates on different geometries , Numerical Methods for Partial Differential Equations , vol 20, No 4, 624-638, (2004).
15. M.-C. Lai and Y.-H. Tseng, A fast iterative solver for the variable coefficient diffusion equation on a disk , Journal of Computational Physics, vol 208, 196-205, (2005).
16. M.-C. Lai and H.-C. Liu, Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows, Applied Mathematics and Computation, vol 164, 679-695, (2005).
17. M.-C. Lai, Z. Li and X. Lin, Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain, Journal of Computational and Applied Mathematics , vol 191, 106-125, (2006).
18. J. Huang, M.-C. Lai and Y. Xiang, An integral equation method for epitaxial step flow growth simulations , Journal of Computational Physics, vol 216, 724-743, (2006).
19. S.-W. Su, M.-C. Lai and C.-A. Lin, An immersed boundary technique for simulating complex flows with rigid boundary, Computers and Fluids , vol 36, 313-324, (2007).
20. Z. Li, K. Ito and M.-C. Lai, An augmented approach for Stokes equations with discontinuous viscosity and singular forces , Computers and Fluids , vol 36, 622-635, (2007).
21. M.-C. Lai and J.-M Tseng, A formally fourth-order accurate compact scheme for 3D Poisson equation in cylindrical coordinates , Journal of Computational and Applied Mathematics, vol 201, 175-181, (2007).
22. M.-C. Lai, C.-T. Wu and Y.-H. Tseng, An efficient semi-coarsening multigrid method for variable diffusion problems in cylindrical coordinates , Applied Numerical Mathematics, vol 57, 801-810, (2007).
23. M.-C Lai and H.-C. Tseng, A simple implementation of the immersed interface methods for Stokes flows with singular forces , Computers and Fluids , vol 37, 99-106, (2008).
24. M.-C. Lai, Y.-H. Tseng and H. Huang, An immersed boundary method for interfacial flows with insoluble surfactant, Journal of Computational Physics, Vol 227, 7279-7293, (2008).
25. H. Huang, M.-C. Lai and H.-C. Tseng, A parametric derivation of the surfactant transport equation along a deforming fluid interface, Frontiers of Applied and Computational Mathematics , ed. by D. Blackmore, A. Bose and P. Petropoulos, pp. 198--205, (2008).
26. K. Ito, M.-C. Lai and Z. Li A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains, Journal of Computational Physics, Vol 228, 2616-2628 (2009).
27. M.-C. Lai, C.-W. Hsu and H. Huang, A front-tracking method for motion by mean curvature with surfactant, Advances in Applied Mathematics and Mechanics, Vol 1, No 2, 288-300 (2009).
28. Z. Li, M.-C. Lai, G. He and H. Zhao, An augmented method for free boundary problems with moving contact lines, Computers and Fluids , Vol 39, 1033-1040 (2010).
29. Y. Kim, M.-C. Lai and C. S. Peskin, Numerical simulations of two-dimensional foam by the immersed boundary method, Journal of Computational Physics, Vol 229, 5194-5207 (2010).
30. M.-C. Lai, Y.-H. Tseng and H. Huang, Numerical simulation of moving contact lines with surfactant by immersed boundary method , Communications in Computational Physics , Vol 8, 735-757 (2010).
31. Y. Kim and M.-C. Lai, Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method , Journal of Computational Physics, Vol 229, 4840-4853 (2010).
32. C.-T. Wu, Z. Li and M.-C. Lai, Adaptive mesh refinement for elliptic interface problems using the non-conforming immersed finite element method , International Journal of Numerical Analysis and Modeling, Vol 8, No 3, 466-483 (2011).
33. M.-C. Lai, C.-Y. Huang and Y.-M. Huang, Simulating the axisymmetric interfacial flows with insoluble surfactant by immered boundary method , International Journal of Numerical Analysis and Modeling, Vol 8, No 1, 105-117, (2011).
34. Z. Li and M.-C. Lai, New finite difference methods based on IIM for inextensible interfaces in incompressible flows , East Asian Journal of Applied Mathematics, Vol 1, No 2, 155-171 (2011).
35. K.-Y. Chen, K.-A. Feng, Y. Kim and M.-C. Lai, A note on pressure accuracy in immersed boundary method for Stokes flow , Journal of Computational Physics, Vol 230, 4377-4383 (2011).
36. P. Constantin, M.-C. Lai, R. Sharma, Y.-H. Tseng and J. Wu, New Numerical Results for the Surface Quasi-Geostrophic Equation, Journal of Scientific Computing , Vol 50, Issue 1 (2012), 1-28.
37. Y. Kim, Y. Seol, M.-C. Lai and C. S. Peskin, The immersed boundary method for two-dimensional foam with topological changes, Communications in Computational Physics , Vol 12, No 2, 479-493 (2012).
38. C.-H. Teng, I.-L. Chern and M.-C. Lai, Simulating binary fluid-surfactant dynamics by a phase field model, Discrete and Continuous Dynamical Systems - Series B , Vol 17, No 4, 1289-1307 (2012).
39. M.-C. Lai, W.-F. Hu, and W.-W. Lin, A fractional step immersed boundary method for Stokes flow with an inextensible interface enclosing a solid particle, SIAM Journal of Scientific Computing , Vol 34, No 5, pp.B692-B710 (2012).
40. Y. Kim and M.-C. Lai, Numerical study for viscosity and inertial effects on vesicle tank-treading to tumbling motion under shear flow, Physical Review E 86, 066321 (2012).
41. W.-F. Hu and M.-C. Lai, Unconditionally energy stable immersed boundary method with application to vesicle dynamics, East Asian Journal of Applied Mathematics, Vol 3, No 3, pp. 247-262 (2013).
42. K.-Y. Chen and M.-C. Lai, A conservative scheme for solving coupled surface-bulk convection-diffusion equations with an application to interfacial flows with soluble surfactant, Journal of Computational Physics, Vol 257, pp. 1-18 (2014).
43. J.-J. Xu, Y. Huang, M.-C. Lai and Z. Li, A coupled immersed interface and level set method for three-dimensional interfacial flows with insoluble surfactant, Communications in Computational Physics , Vol 15, No 2, pp. 451-469 (2014).
44. W.-F. Hu, Y. Kim, and M.-C. Lai, An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows, Journal of Computational Physics, Vol 257, pp. 670-686 (2014).
45. Y. Kim, M.-C. Lai, C. S. Peskin and Y. Seol, Numerical simulations of three-dimensional foam by the immersed boundary method, Journal of Computational Physics, Vol 269, pp. 1-21 (2014).
46. P.-W. Hsieh, M.-C. Lai, S.-Y. Yang, and C.-S. You, An unconditionally energy stable penalty immersed boundary method for simulating the dynamics of an inextensible interface interacting with a solid particle, Journal of Scientific Computing, Vol 64, pp. 289-316 (2015).
47. W.-F. Hu, M.-C. Lai, and Y.-N. Young, A hybrid immersed boundary and immersed interface method for electrohydrodynamic simulations, Journal of Computational Physics, Vol 282, pp. 47-61 (2015).
48. H. Nganguia, Y.-N. Young, A. T. Layton, W.-F. Hu, and M.-C. Lai, An immersed interface method for axisymmetric electrohydrodynamic simulations in Stokes flow, Communications in Computational Physics , Vol 18, pp. 429-449 (2015).
49. H. Wu, M. Thiebaud, W.-F. Hu, A. Farutin, S. Rafai, M.-C. Lai, P. Peyla, and C. Misbah, Amoeboid motion in confined geometry, Rapid Communications, Physical Review E 92, 050701(R) (2015).
50. W.-F. Hu, M.-C. Lai, Y. Seol and Y.-N. Young, Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method , Journal of Computational Physics, Vol 317, pp. 66-81 (2016).
51. H. Nganguia, Y.-N. Young, A. T. Layton, M.-C. Lai, and W.-F. Hu, Electrohydrodynamics of a viscous drop with inertia, Physical Review E 93, 053114 (2016).
52. K.-L. Pan, Y.-H. Tseng, J.-C. Chen, K.-L. Huang, C.-H. Wang, and M.-C. Lai Controlling droplet bouncing and coalescence with surfactant, Journal of Fluid Mechanics, Vol 799, pp. 603-636 (2016).
53. Y. Seol, W.-F. Hu, Y. Kim and M.-C. Lai, An immersed boundary method for simulating vesicle dynamics in three dimensions , Journal of Computational Physics, Vol 322, pp. 125-141 (2016).
54. H. Wu, A. Farutin, W.-F. Hu, M. Thiebaud, S. Rafai, P. Peyla, M.-C. Lai, and C. Misbah, Amoeboid swimming in a channel , Soft Matter, 12, pp. 7470-7484 (2016).
55. M.-C. Lai and Y. Seol, A short note on Navier-Stokes flows with an incompressible interface and its approximations, Applied Mathematics Letters, Vol 65, pp. 1-6 (2017).
56. Y. Kim, M.-C. Lai, and Y. Seol, Numerical simulations of vesicle and bubble dynamics in two-dimensional four-roll mill flows, Physical Review E 95 (2017), 053105.
57. Y. Kim, M.-C. Lai, and Y. Seol, Simulation of a soap film Mobius strip transformation, East Asian Journal on Applied Mathematics, Vol 7, No 3 (2017), pp. 615-628.
58. J.-J. Xu, W. Shi, M.-C. Lai, A level-set method for two-phase flows with soluble surfactant, Journal of Computational Physics, Vol 353 (2018), pp. 336-355.
59. Y. Seol, S.-H. Hsu, M.-C. Lai, An immersed boundary method for simulating interfacial flows with insoluble surfactant in three dimensions, Communications in Computational Physics , Vol 23 (2018), pp. 640-664.
60. Z. Li, M.-C. Lai, X. Peng, Z. Zhang, A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations, Computers and Fluids , Vol 167 (2018), 384-399.
61. M.-C. Shiue, K. C. Ong, M.-C. Lai, Convergence of the MAC scheme for the Stokes/Darcy coupling problem , Journal of Scientific Computing, Vol 76 (2018), 1216-1251.
62. W.-F. Hu, M.-C. Lai, C. Misbah, A coupled immersed boundary and immersed interface method for interfacial flows with soluble surfactant , Computers and Fluids , Vol 168 (2018), 201-215.
63. Y. Kim, M.-C. Lai, Y. Seol, A penalty immersed boundary method for viscoelastic particulate flows , Journal of Non-Newtonian Fluid Mechanics , Vol 258 (2018), 32-44.
64. M.-C. Lai, M.-C. Shiue, K.-C. Ong, A simple projection method for the coupled Navier-Stokes and Darcy flows, Computational Geosciences , Vol 23 (2019), 21-33.
65. Y. Seol, Y.-H. Tseng, Y. Kim, M.-C. Lai, An immersed boundary method for simulating Newtonian vesicles in viscoelastic fluid, Journal of Computational Physics, Vol 376 (2019), pp. 1009-1027.
66. M.-C. Lai, K.-C. Ong, Unconditionally energy stable schemes for the inextensible interface problem with bending, SIAM Journal on Scientific Computing , Vol 41, No 4, (2019), pp. B649-B668.
67. S.-H. Hsu, J. Chu, M.-C. Lai, R. Y.-H. Tsai, A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant, Journal of Computational Physics, Vol 395 (2019), pp. 747-764.
68. S.-H. Hsu, W.-F. Hu, M.-C. Lai, A coupled immersed interface and grid based particle method for three-dimensional electrohydrodynamic simulations, Journal of Computational Physics, Vol 398 (2019), 108903.
69. A. Farutin, H. Wu, W.-F. Hu, S. Rafai, P. Peyla, M.-C. Lai, and C. Misbah, Analytical Study for Swimmers in a Channel , Journal of Fluid Mechanics, Vol 881 (2019), pp. 365-383.
70. K.-C. Ong, M.-C. Lai, An immersed boundary projection method for simulating the inextensible vesicle dynamics, Journal of Computational Physics, Vol 408 (2020), 109277.
71. Y. Seol, M.-C. Lai, Spectrally accurate algorithm for points redistribution on closed curves, SIAM Journal on Scientific Computing, Vol 42, No 5, (2020), pp. A3030-A3054.

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