Ming-Chih Lai

My CV


  • Education:

    Ph.D in Mathematics, September 1998, Courant Institute of Mathematical Sciences, New York University
    Thesis: Simulations of the Flow Past an Array of Circular Cylinders as a Test of the Immersed Boundary Method.
    Thesis Advisor: Charles S. Peskin
    M.S in Applied Math., NTHU, Taiwan
    B.S in Applied Math., NCHU, Taiwan


  • Research Interests:

    Numerical methods for PDEs
    Computational fluid mechanics


  • Positions:

    2011/06-- Distinguished Professor, National Chiao Tung University
    2013/01-- 2013/05 Visiting Professor, Hong Kong Baptist University
    2012/09-- 2012/12 Visiting Professor, Research Institute for Mathematical Sciences (RIMS), Kyoto University
    2009/08-- 2012/07 Founding Director, Center of Mathematical Modeling and Scientific Computing (CMMSC), National Chiao Tung University
    2007/08-- 2009/07 Chair, Department of Applied Mathematics, National Chiao Tung University
    2005/08-- Professor, Department of Applied Mathematics, National Chiao Tung University
    2002/08-- 2005/07, Associate Professor, Department of Applied Mathematics, National Chiao Tung University
    1999/08-- 2002/07, Assistant Professor, Department of Mathematics, National Chung Cheng University
    1998/08-- 1999/07, Research Associate, Duke University


  • Prizes and Awards:

    National Science Council, Outstanding Research Award, 2011
    Taiwan Mathematical Society, Academic Award, 2011
    National Science Council, Outstanding Scholar Research Grant, 2009/08-2012/07
    National Chiao Tung University, Academic Research Award, 2005
    National Science Council, Outstanding Research Award, 2003
    Dean's Special Recognition Award, 2003
    Kurt O. Friedrichs Prize for an outstanding dissertation in Mathematics, 1999


  • Scientific Committees:

    SIAM Membership committee, 2014-2016
    SIAM East Asia Section (EASIAM), President, 2013-2014
    National Science Council, Mathematics Division, Grant panel chair 2012-
    SIAM East Asia Section (EASIAM), Vice President, 2011-2012
    National Science Council, Mathematics Division , Grant panel 2009-2011
    National Center for Theoretical Sciences (NCTS), Program committee 2005-, Executive Committee 2012-


  • Editorial Boards:

    Taiwanese Journal of Mathematics, 2014/08 -
    Journal of Biological Systems, 2013 -
    Communications in Computational Physics, 2012 -
    International Journal of Numerical Analysis and Modeling- Series B, 2011 -
    East Asian Journal on Applied Mathematics, 2010 -
    Advances in Applied Mathematics and Mechanics, 2009 -


  • Selected Visits and Talks:

     Publications

    (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 on 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, 1-28 (2012).
    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 on 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, submitted for publication.
    47. W.-F. Hu, M.-C. Lai, and Y.-N. Young, A hybrid immersed boundary and immersed interface method for electro-hydrodynamic simulations, submitted for publication.

    (B) Conference Papers:

    1. M.-C. Lai, Jump conditions for the two-dimensional Navier-Stokes equations involving an immersed moving elastic boundary, Proceedings of Third Sino-Philippine Symposium in Analysis, Matimyas Matematika, 2000, special issue, 104-110.
    2. M.-C. Lai, K.-H. Chiam, M. C. Cross, and H. S. Greenside, Simulating complex dynamics in intermediate and large-aspect-ratio convection systems, 18th symposium on Energy Engineering Sciences, Argonne National Laboratory, May 15-16, 2000.
    3. M.-C. Lai, Two simple fast direct solvers without pole condition for Poisson equation on a disk, Proceedings of the 9th differential equations conference, National Cheng Kung University, 2001.
    4. M.-C. Lai, A new implementation technique for solving Poisson problem in 2D infinite domain, Proceedings of the 13th differential equations conference , National Chung Cheng University, 2005.
    5. M.-C. Lai, H.-C. Tseng, Z. Li, A simple immersed interface method for the Stokes flow with singular forces , Proceedings of the National Institute for Mathematical Sciences, NIMS workshop for Scientific Computation, Korea, 2006.

    (C) Dissertation: