**Office Location:**243, Science Hall A**Office Phone:**+886-3-5131361**Fax:**+886-3-5724679**E-mail:**mclai AT math.nctu.edu.tw**Mailing Address:**Department of Applied Mathematics

National Chiao Tung University

1001, Ta Hsueh Road, Hsinchu 30050, Taiwan

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

Numerical methods for PDEs

Computational fluid mechanics

2014/12-- Chair Professor, National Chiao Tung University

2011/06-- 2014/11 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

Ministry of Education, Academic Award, 2014

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

SIAM Membership committee, 2014-2016

SIAM East Asia Section (EASIAM), President, 2013-2014

National Science Council, Mathematics Division, Grant panel chair 2012-2014

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-

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 -

- The 7th PRCM, Section organizer and speaker on "Computational Aspects of interface problems with applications", NSU, Seoul, Korea, June 27--July 1, 2016
- International Workshop on Fluid-Structure Problems (invited speaker) NUS, Singapore, May 30--June 3, 2016
- Numerical Methods for Nonlinear Problems (invited speaker), TSIMF, Sanya, China, January 10-16, 2016
- Trilateral Meeting on PDEs and Applications (invited speaker), Parma, Italy, December 14--18, 2015
- ICIAM 2015 , Mini-symposium co-organizer and speaker, Beijing, China, August 10--14, 2015
- High Performance and Parallel Computing Methods and Algorithms for Multiphase/Complex Fluids (invited speaker), IMS, NUS, Singapore, March 2 -- 6, 2015
- JSIAM 2014 Annual Meeting (invited speaker), Tokyo, Japan, September 3-5, 2014
- The 39th Sapporo Symposium on PDE (invited speaker), Hokkaido University, Sapporo, August 25-29, 2014
- SIAM 2014 Annual Meeting (Membership committee meeting and Mini-symposium invited speaker), Chicago, USA, July 7-11, 2014
- CASTS and LJLL Joint workshop on Applied Mathematics and Mathematical Sciences (invited speaker), NTU, Taipei, May 26-29, 2014
- KSIAM 2014 Spring Conference (Plenary speaker), National Seoul University, Korea, May 23-24, 2014
- Frontiers of Soft Matter Physics: from Non-equilibrium Dynamics to Active Matter (invited speaker), IAS, HKUST, Jan. 13-17, 2014
- International Conference on Nonlinear Analysis: Fluid Dynamics and Kinetic Theory (invited speaker), Academic Sinica, Oct. 21-25, 2013
- Workshop on Fluid-Structure Interaction Problems (invited speaker), INS, Shanghai Jiao Tung University, July 27-30, 2013
- International Congress of Chinese Mathematicians ICCM2013 (invited speaker, 45 mins talk), Taipei, July 14-19, 2013
- Annual Meeting of Taiwan Mathematical Society (plenary speaker), NCTU, December 7-9, 2012
- Kinetic Theory and Related Fields: Theoretical and Numerical Approaches (invited speaker), Kyoto University, Kyoto, Japan, September 24-28, 2012
- Biological Complex Fluids, 2012 Cargese summer school (invited lecturer), Corsica Island, France, June 25th-July 7th, 2012.
- Workshop on Nonlinear Partial Differential Equations: Analysis, Computation and Applications (invited speaker), IMS Singapore, March 7 - 10, 2012
- The 4th Intl. Conference on Scientific Computing and Partial Differential Equations (invited speaker), Hong Kong Baptist University, December 5-9, 2011.
- 2011 International Conference on Applied Mathematics and Interdisciplinary Research (invited speaker), Chern Institute of Mathematics, Nankai University, Tianjin, June 13-15, 2011
- International Congress of Chinese Mathematicians ICCM2010 (invited speaker, 45 mins talk), Beijing, Dec 17-22, 2010
- Workshop on Fluid Motion Driven by Immersed Structures (tutorial speaker on the immersed boundary method, one hour talk), Fields Institute, Canada, August 9-13, 2010
- Fluid dynamics, Analysis and Numerics (invited speaker, 40 mins talk), Duke University, USA, June 28-30, 2010
- Applied Mathematics International Conference 2010 and The 6th East Asia SIAM Conference (invited speaker, 40 mins talk), Kuala Lumpur, Malaysia, June 22-24, 2010
- International Conference on Applied Mathematics (invited speaker, 30 mins talk), City U. of Hong Kong, June 7-11, 2010
- IAS Seminar Series on Soft Matter (SMSS'09, invited speaker, one hour talk), Hong Kong University of Science and Technology, May 25-26, 2009
- ECM2009 invited workshop, The Interface Problem and Its Applications (invited speaker, 30 mins talk), The Hong Kong Polytechnic University May 27-29, 2009
- Meiji University Global COE Program, Kick-off Forum (Guest speaker), Japan, March 2-8, 2009
- The 3rd International Conference on Scientific Computing and Partial Differential Equations (plenary speaker, 45 mins talk), Hong Kong Baptist University, December 8-13, 2008
- Analytical & Computational Fluid Dynamics (plenary speaker, two 50 mins talks), Chung-Ang University, Seoul, Korea, June 24-25, 2008
- The Fifth Conference on Frontiers in Applied and Computational Mathematics (invited speaker, 30 mins talk), New Jersey Institute of Technology, USA, May 19-21, 2008
- The 6th International Congress on Industrial and Applied Mathematics (ICIAM07), mini-symposium- Interface Methods and Applications in Multi-phase problems (invited speaker, 30 mins talk), ETH Zurich, Switzerland, 2007/07
- Workshop on Moving Interface Problems and Applications in Fluid Dynamics (invited speaker, 50 mins talk), Institute for Mathematical Sciences, short term visiting member, NUS, Singapore, 2007/02
- Workshop of NIMS on Scientific Computation and Numerical Computation for Interdisciplinary Mission (invited speaker, 50 mins talk), Daejon and Seoul, Korea, 2006/08

- 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). - 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). - 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). - 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). - 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). - 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). - 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). - M.-C. Lai, A simple compact fourth-order Poisson
solver on polar geometry ,
*Journal of Computational Physics*, vol 182, 337-345, (2002). - M.-C. Lai, Fast Poisson solver in a three-dimensional
ellipsoid ,
*Contemporary Mathematics*, AMS, vol 329, 203-208, (2003). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - 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). - K.-L. Pan, Y.-H. Tseng, J.-C. Chen, K.-L. Huang, M.-C. Lai and C.-H. Wang, Controlling droplet bouncing and coalescence with surfactant, submitted for publication.
- Y. Seol, M.-C. Lai, and Y. Kim, Numerical study on statistical behaviors of two-dimensional dry foam , submitted for publication.
- Y. Seol, W.-F. Hu, Y. Kim and M.-C. Lai, An immersed boundary method for simulating vesicle dynamics in three dimensions , submitted for publication.
- W.-F. Hu, M.-C. Lai, Y. Seol and Y.-N. Young, Vesicle electrohydrodynamics simulations by coupling immersed boundary and immersed interface method , submitted for publication.

- 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. - 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. - 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. - 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. - 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.

- M.-C. Lai, Simulations of the flow past an array of circular cylinders as a test of the immersed boundary method, Ph.D thesis, Courant Institute of Mathematical Sciences, New York University, 1998/09. This work won 1999 Kurt O. Friedrichs Prize for an outstanding dissertation in Mathematics at Courant Institute.