CURRICULUM VITAE Jian-Guo Liu May, 2008 Department of ...

CURRICULUM VITAE
Jian-Guo Liu May, 2008
Department of Mathematics and
Institute for Physical Science and Technology
University of Maryland, College Park, MD 20742
Phone: (301)-405-5148 (voice), 314-0827 (fax)
Email: jliu@math.umd.edu
URL: http:www.math.umd.edu/∼jliu
EDUCATION
Institution Degree Date awarded
Fudan University, Shanghai, China B. S., Mathematics 1982
Fudan University, Shanghai, China M. S., Mathematics 1985
University of California, Los Angeles Ph. D., Mathematics 1990
Dissertation: Homogenization and Numerical Methods for Hyperbolic Equations
Advisor: Prof. Björn Engquist
PROFESSIONAL APPOINTMENTS
Institution Rank Dates
University of Maryland Professor 2001–present
Department of Mathematics
Institute for Physical Science and Technology
University of Maryland Associate Professor 1997–2001
Department of Mathematics
Institute for Physical Science and Technology
Temple University Assistant Professor 1993–97
Department of Mathematics
Institute for Advanced Study, Member Spring, 1994
Princeton, NJ
New York University Courant Instructor/ 1991–93
Courant Institute for Math. Sci. Visiting Member
Mathematical Sciences Research Postdoctoral Fellow 1990–91
Institute, Berkeley, CA
1

VISITING POSITIONS
Princeton University Visiting Research Staff Spring, 1995
Department of Mechanical Engineering and Summer, 1995
Fluid Dynamics Research Center Summer, 1996
Royal Institute of Technology, Sweden Visitor June 1996
Department of Numerical Analysis and Computer Science
New York University Visiting Member 1996-97
Courant Institute for Mathematical Sciences
Institut Mittag-Leffler, Member September-October, 1997
The Royal Swedish Academy of Sciences
Université de Reims, France, Visiting Professor May-June, 1998
Center for Theoretical Study, Taiwan Visiting Member December 1998- January 1999,
June-July, 1999
June-July, 2000
June-July, 2001
June-July, 2006
Chinese University of Hong Kong Visiting Member June, 1999
Institute of Mathematical Sciences December, 2002
Hong Kong University of Sciences Visiting Professor May-June, 2000
and Technology June-July, 2002
Fudan University, Shanghai, China Affiliate Professor 2003 - 2004
Dalian University of Technology Guest Professor 2001 - 2004
Université de Clermont Ferrand, Visiting Professor January, 2002
Newton Institute for Mathematical Visiting Member April, 2003
Sciences, Cambridge, UK
National University of Singapore Visiting Professor Spring 2003, 2005
IMS, National University of Singapore Visiting Member Dec 2004 - January 2005
IPAM, UCLA Visiting Member April, 2005
Universite Paul Sabatier, Visiting Professor July, 2005
Fields Institute, Toronto Visiting Member August, 2006
Weizmann Institute of Science, Visiting Professor June-July, 2006
Duke University, Visiting Professor 2007-2008
2

PUBLICATIONS
A. Books
1. W. Bao and J.-G. Liu (Editors), Dynamics in Models of Coarsening, Coagulation, Condensation
and Quantization, World Scientific, 2007, SBN-10: 9812708502, ISBN-13: 9789812708502.
B. Refereed journal publications by subjects
Commutator estimates and Navier-Stokes equations:
1. J.-G. Liu, J. Liu and R. Pego, Stability and convergence of efficient Navier-Stokes solvers via
a commutator estimate, Comm. Pure Appl. Math. 60 (2007) 1443-1487.
2. H. Johnston and J.-G. Liu, Accurate, stable and efficient Navier-Stokes solvers based on explicit
treatment of the pressure term, J. Comput. Phys., 188 (2004) 221-259.
3. H. Johnston and J.-G. Liu; A finite difference method for incompressible flow based on local
pressure boundary conditions, J. Comput. Phys. 180 (2002), 120–154.
4. X. Lu, P. Lin, and J.-G. Liu, Analysis of a sequential regularization method for the unsteady
Navier-Stokes equations, Math Comp, bf 77 (2008) 1467-1494.
Multiscale modeling and simulation:
5. P. Degond, J.-G. Liu and M-H Vignal, Analysis of an asymptotic preserving scheme for the
Euler-Poisson system in the quasineutral limit, SIAM J. Num., Anal. 46 (2008), 1298–1322.
6. P. Degond, S. Jin, and J.-G. Liu, Mach-number uniform asymptotic- preserving Gauge schemes
for compressible flows, Bulletin of the Institute of Mathematics Academia Sinica (New Series)
2 (2007), 851–892.
7. P. Degond, J.-G. Liu, and L. Mieussens, Macroscopic fluid models with localized kinetic upscaling
effects, Multiscale Model. Simul. 5 (2006) 695–1043
8. B. Engquist and J.-G. Liu; Numerical methods for oscillatory solutions to hyperbolic problems,
Comm. Pure Appl. Math., 46 (1993) 1327–1361.
Consistence numerical dissipation in solid mechanics:
9. S.S. Antman and J.-G. Liu, Basic themes and pretty problems of nonlinear solid mechanics,
Milan J. Math, 75 (2007) 135–176.
Coarsening dynamics in thin film epitaxy:
10. B. Li and J.-G. Liu; Eptaxial growth without slope selection: energetics, coarsening, and dynamic
scaling, J. Nonlinear Sci., 14 (2004) 429–451.
11. B. Li and J.-G. Liu; Thin film epitaxy with or without slope selection, European J. Applied
Math., 14 (2003) 713-743.
Electrostatics for bio-molecules in solution:
12. I.-L. Chern, J.-G. Liu and W.-C. Wang; Accurate evaluation of electrostatics for macromolecules
in solution, Methods and Applications of Analysis, 10 (2003) 309-328.
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Vortex sheets and Kelvin-Helmholtz instability:
13. J.-G. Liu and Z. Xin; Convergence of point vortex method for 2-D vortex sheet, Math. Comp.,
70 (2001) 595-606.
14. J.-G. Liu and Z. Xin; Convergence of vortex methods for weak solutions to the 2-D Euler
equations with vortex sheets data, Comm. Pure Appl. Math., 48 (1995) 611–628.
Boundary layer separation and wake flow:
15. M. Ghil, J.-G. Liu, C. Wang and S. Wang; Boundary-layer separation and adverse pressure
gradient for 2-D viscous incompressible flow, Physica D, 197 (2004) 149–173.
16. Z.J. Wang, J.-G. Liu, and S. Childress; Connection between corner vortices and shear layer
instability in flow past an ellipse, Phys. Fluids, 11 (1999) 2446-2448.
Kinetic boundary layer:
17. J.-G. Liu and Z. Xin; Boundary layer behavior in the fluid-dynamic limit for a nonlinear
model Boltzmann equation, Arch. Rat. Mech. Anal., 135 (1996) 61–105; Received a Featured
Review from Math. Rev.
18. J.-G. Liu and Z. Xin; Kinetic and viscous boundary layers for the Broadwell equations, Transport
Theory and Statistical Physics, 25 (1996) 447–461.
Dispersive scheme and dispersive wave:
19. Large oscillations arising from a dispersive numerical scheme, C.D. Levermore and J.-G. Liu;
Physica D, 99 (1996) 191–216.
20. S. Jin and J.-G. Liu; Relaxation and diffusion enhanced dispersive waves, Proc. R. Soc. Lon.,
A 446 (1994) 555–563.
Nonlinear stability of shock profile:
21. J.-G. Liu and Z. Xin; Nonlinear stability of discrete shocks for systems of conservation laws,
Arch. Rat. Mech. Anal., 125 (1993) 217–256.
22. J.-G. Liu and Z. Xin; L 1 -stability of stationary discrete shocks, Math. Comp., 60 (1993) 233–
244.
Energy and helicity preserving schemes:
23. J.-G. Liu and W.C. Wang, Convergence analysis of the energy and helicity preserving scheme
for axisymmetric flows, SIAM J. Numer. Anal., 44 (2006) 2456-2480.
24. J.-G. Liu and W.-C. Wang; Energy and helicity preserving finite difference schemes for flows
with symmetry, J. Comput. Phys., 200 (2004) 8-33
25. J.-G. Liu and W.C. Wang; An energy preserving MAC-Yee scheme for the incompressible
MHD equation, J. Comput. Phys., 174 (2001) 12-37.
Numerical methods for geophysical flow:
26. J.-G. Liu and C. Wang, A fourth order numerical method for the primitive equations formulated
in mean vorticity, Commun. Comput. Phys. 4 (2008), 26 – 55.
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27. J.-G. Liu, R. Samelson and C. Wang, Global weak solution of planetary geostrophic equations
with inviscid geostrophic balance, Applicable Analysis, 85 (2006), 593 - 605
Gauge methods for incompressible flow:
28. W. E and J.-G. Liu; Gauge method for viscous incompressible flows, Comm. Math. Sci., 1
(2003), 317–332.
29. W. E and J.-G. Liu; Addendum to gauge method for viscous incompressible flows, Commun.
Math. Sci. 1 (2003) 837.
30. C. Wang and J.-G. Liu; Convergence of gauge method for incompressible flow, Math. Comp.,
69 (2000) 1385-1407.
31. W. E and J.-G. Liu; Gauge finite element method for incompressible flows, Int. J. Num. Meth.
Fluids, 34 (2000) 701–710.
32. W. E and J.-G. Liu; Finite difference schemes for incompressible flows in the impulse-velocity
formulation, J. Comput. Phys., 130 (1997) 67–76.
Projection methods for incompressible flow:
33. W. E and J.-G. Liu; Projection method III: spatial discretization on the staggered grid, Math.
Comp., 71 (2002) 27-47.
34. W. E and J.-G. Liu; Projection method II: Godunov-Ryabenki analysis, SIAM J. Numer. Anal.,
33 (1996) 1597–1621.
35. W. E and J.-G. Liu; Projection method I: convergence and numerical boundary layers, SIAM
J. Numer. Anal., 32 (1995) 1017–1057.
Vorticity based numerical methods:
36. J.-G. Liu and C. Wang; High order finite difference method for unsteady incompressible flow
on multi-connected domain in vorticity-stream function formulation, Computer and Fluids,
33 (2004) 223-255.
37. C. Wang and J.-G. Liu; Fourth order convergence of a compact difference solver for incompressible
flow, Comm. in Appl. Anal., 7, (2003), 171-191
38. C. Wang and J.-G. Liu; Analysis of finite difference schemes for unsteady Navier-Stokes equations
in vorticity formulation, Numer. Math., 91 (2002) 543-576.
39. J.-G. Liu and W. E; Simple finite element method in vorticity formulation for incompressible
flow, Math. Comp., 70 (2001) 579–593.
40. W. E and J.-G. Liu; Finite difference methods for 3D viscous incompressible flows in the
vorticity-vector potential formulation on non-staggered grids, J. Comput. Phys., 138 (1997)
57–82.
41. W. E and J.-G. Liu; Essential compact scheme for unsteady viscous incompressible flows,
J. Comput. Phys., 126 (1996) 122–138.
42. W. E and J.-G. Liu; Vorticity boundary condition and related issues for finite difference
schemes, J. Comput. Phys., 124 (1996) 368–382.
Numerical methods for Boussinesq equations:
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43. J.-G. Liu, C. Wang and H. Johnston; A fourth order compact scheme for incompressible
Boussinesq equations, J. Sci. Comput.18 (2003) 253-285
44. C. Wang, J.G. Liu and H. Johnston, Analysis of a fourth order finite difference method for
the incompressible Boussinesq equations, Numer. Math., 97 (2004), 555–594.
Discontinuous Galerkin method for incompressible flow:
45. J.-G. Liu and Z. Xin; Convergence of a Galerkin method for 2-D discontinuous Euler flows,
Comm. Pure Appl. Math., 53 (2000) 786-798. .
46. J.-G. Liu and C.W. Shu; A high order discontinuous Galerkin method for incompressible flows,
J. Comput. Phys., 160 (2000) 577-596.
Shock capturing schemes:
47. K. Duraisamy, J.D. Baeder and J.-G. Liu; Concepts and application of time limiters to high
resolution Schemes, J. Sci. Comput., 19 (2003) 139-162;
48. H. Choi and J.-G. Liu; The reconstruction of upwind fluxes for conservation laws, its behavior
in dynamic and steady state calculations, J. Comput. Phys., 144 (1998) 237–256.
49. S. Jin and J.-G. Liu; The effects of numerical viscosities I: slowly moving shocks, J. Comput.
Phys., 126 (1996) 373–389.
50. S. Jin and J.-G. Liu; Oscillations induced by numerical viscosities, Matemática Contemporânea,
10 (1996) 169–180.
Entropy conditions in shock capturing schemes:
51. C. Wang and J.-G. Liu; Positivity property of second-order flux-splitting schemes for the compressible
Euler equations, Discrete and Continuous Dynamical Systems, Series B 3 (2003)
201-228.
52. P. LeFloch and J.-G. Liu; Generalized monotone schemes, discrete paths of extrema, and
discrete entropy conditions, Math. Comp. 68 (1999) 1025-1055.
53. G. Chen and J.-G. Liu; Convergence of difference schemes with high resolutions to conservation
laws, Math. Comp., 66 (1997) 1027–1053.
54. P. LeFloch and J.-G. Liu; Discrete entropy and monotonicity criteria for hyperbolic conservation
laws, C.R. Acad. Sci. Paris., 319 (1994) 881–886.
55. G. Chen and J.-G. Liu; Convergence of second-order schemes for isentropic gas dynamics,
Math. Comp., 61 (1993) 607–629.
Drift-diffusion equations for semiconductor :
56. C. Chainais-Hillairet, J.-G. Liu and Y.-J. Peng, Finite volume scheme for multi-dimensional
drift-diffusion equations and convergence analysis, Math. Model. Numer. Anal., 37 (2003)
319-338.
Far field boundary conditions and effects of small viscosity:
57. H.-E. Lin, J.-G. Liu and W.-Q. Xu; Effects of small viscosity and far field boundary conditions
for hyperbolic systems, Commun. Pure Appl. Anal. 3 (2004), 267–290.
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58. J.-G. Liu and W.-Q. Xu; Boundary layer behavior for convection-diffusion equation at zero
viscosity limit, Quart. Appl. Math., 62 (2004) 27-52.
Mathematical Finance and Applied Statistics:
59. J. Moore, J.-G. Liu, K. Zhou, S. Haley, and L. Yu, Effects of genotype and environment on the
antioxidant properties of hard winter wheat bran, J Agric Food Chem 54 (2006) 5313-5322.
60. J.-G. Liu and E. Xu, Pricing of mortgage-backed securities with option-adjusted spread, Managerial
Finance, 24 (1998) 94-109.
61. J. Moore, Z. Cheng, J. Hao, G. Guo, J.-G. Liu, C. Lin and L. Yu, Effects of Solid-State Yeast
Treatment on the Antioxidant Properties and Protein and Fiber Compositions of Common
Hard Wheat Bran J Agric Food Chem, 55 (2007) 10173–10182..
C. Articles in refereed conference proceedings
62. D. Levermore and J.-G. Liu, Oscillations arising in numerical experiments, in ”Singular Limits
of Dispersive Waves”, eds. Ercolani, Gabitov, Levermore and Serre, NATO ARW series,
Plenum, New York, (1994) 329–346.
63. J.-G. Liu and Z. Xin, On the convergence of vortex methods for weak solutions to the 2-D Euler
equations, in ”Proceedings of the Fifth International Conference on Hyperbolic Problems,
Theory, Numerics, and Application”, ed. J. Glimm, etc, World Scientific, (1996) 398–404.
64. W. E and J.-G. Liu, Finite difference schemes for incompressible flows in the vorticity formulations;
in ”Proceedings of II Inter’l Workshop on Vortex Flows and Related Numerical
Methods”, ed. Y. Gagnon, etc, Société de Mathématiques Appliquées et Industrielles, ESAIM:
Proceedings, Vol 1 (1996) 181–195.
65. W. E and J.-G. Liu, Projection method for viscous incompressible flows, in ”Numerical Methods
in Applied Sciences”, eds. W. Cai and C.-W. Shu, Science Press New York, Ltd, New
York, (1996) 78–96.
66. J.-G. Liu and C.W. Shu, A numerical example on the performance of high order discontinuous
Galerkin method for 2D incompressible flows, in “Discontinuous Galerkin Methods: Theory,
Computation and Applications” eds. B. Cockburn, G. Karniadakis and C.-W. Shu, Lecture
Notes in Computational Science and Engineering Vol. 11, Springer, New York, (2000) 369–374.
67. H. Johnston and J.-G. Liu, An accurate Neumann pressure boundary condition for the incompressible
Navier-Stokes equations on a non-staggered grid, in “Workshop on Scientific Computing
’99”, Eds. Z.-C. Shi, M. Mu, W. Xue and J. Zhou, Science Press, Beijing, (2001)
71–80
68. J.-G. Liu, J. Liu and R. Pego, On incompressible Navier-Stokes dynamics: a new approach
for analysis and computation, in ”Proceedings of the Tenth International Conference on Hyperbolic
Problems”, edited by F. Asakura, etc, Yokohama Publishers, Inc. (2006) 29–44.
69. J.-G. Liu, J. Liu and R. Pego, Extimates on the Stokes pressure by partitioning the energy of
harmonic functions, in ”Kyoto Conference on the Navier-Stokes equations and their Applications”,
edited by Y. Giga, H. Kozono, H. Okamoto and Y. Shibta, RIMS Kokyuroku Bessatsu
B1, Kyoto Univ. (2007) 251–270.
GRANTS and CONTRACTS
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2008–11, National Science Foundation Grant DMS0811177, Mathematical Sciences
Principal Investigator, $228,550,
Title: “Efficient Numerical Methods for Viscous Incompressible Flows”
2008, National Science Foundation Grant DMS0742260, Co-PI, $28,000,
Title: “International Conference on Hyperbolic Problems: Theory, Numerics
and Applications”
2008, Office of Naval Research, N000140810386, Co-PI, $23,000,
Title: “International Conference on Hyperbolic Problems: Theory, Numerics
and Applications”
2008, Air Force Office of Scientific Research, FA9500810082, Co-PI, $10,000,
Title: “International Conference on Hyperbolic Problems: Theory, Numerics
and Applications”
2005–08, National Science Foundation Grant DMS0512176, Mathematical Sciences
Principal Investigator, $283,442,
Title: “Efficient Numerical Methods for Viscous Incompressible Flows”
2001–05, National Science Foundation Grant DMS-0107218, Mathematical Sciences
Principal Investigator, $220,000,
Title: “Efficient Numerical Methods for Viscous Incompressible Flows”
1998–01, National Science Foundation Grant DMS-9805621, Mathematical Sciences
Principal Investigator, $96,000,
Title: “Efficient Numerical Methods for Unsteady Viscous Incompressible Flows”
1996–97, Office of Naval Research Grant N00014-96-1-1013
Principal Investigator, $50,000,
Title: “Numerical Methods for Incompressible Flows”
1995–98, National Science Foundation Grant DMS-9505275, Mathematical Sciences,
Principal Investigator, $60,000,
Title: “Efficient Numerical Methods for Large Reynolds Number Unsteady Viscous
Incompressible flows”
INVITED TALKS
Invited talks at conferences
1. NATO Workshop on Singular Limits of Dispersive Waves
École Normale Supérieure de Lyon, France, organized by N. Ercolani etc,
“Oscillations arising from a dispersive numerical scheme”, July, 1991.
2. Workshop on Partial Differential Equations
Stanford University, organized by T.-P. Liu
“Convergence of projection methods for incompressible flows”, August, 1992
3. Summer school on “Applied and Theoretical Fluid Mechanics”,
Beijing, organized by Academia Sinica
Principal lecturer (6 lectures) on “Incompressible flow computation”, June, 1994.
4. 2nd Int’l Workshop on Vortex Flows and Related Numer. Methods,
Monteréal, Canada, organized by Y. Gagnon, etc
8

“Efficient numerical methods for incompressible flow”, September, 1995
5. SIAM Annual Meeting, Mini-symposium on incompressible flow computation
Charlotte, organized by J.-G. Liu and C.-W. Shu
“Efficient numerical schemes for incompressible flows”, November, 1995
6. SIAM Annual Meeting, Mini-symposium on high resolution for compressible flow
Charlotte, organized by S. Jin and J.-G. Liu
“Capturing shock with a simple biased average procedure”, November, 1995.
7. 6th Int’l Conf. on Hyperbolic Problems, Theory, Numerics, and Application,
Hong Kong, organized by T.-P. Liu and X. Ding
“Capturing shock with a simple biased average procedure”, June, 1996.
8. Workshop on Numerical Partial Differential Equations
Hong Kong, organized by W.-M. Xue
“Capturing shock with a simple biased average procedure”, June, 1996.
9. ’96 Symposium on Computational Physics for Chinese Overseas and at Home
Beijing, organized by S.Y. Chen, S. Jin and J.-G. Liu
“Efficient numerical schemes for incompressible flows”, June, 1996
10. Beijing Workshop on Numerical Partial Differential Equations
Peking University., organized by Z.H. Teng
“Convergence of vortex methods for vortex sheet”, July, 1996.
11. ’Conference on the Euler, Navier Stokes Eqs, and Singularities’,
Ohio State University, organized by G. Majda
“Analysis and simulation of boundary layer separation”, April, 1997.
12. ’The 1997 NSF-CBMS Regional Meeting on Shock Wave Theory’,
Georgia Institute of Technology, organized by S. Jin
“Capturing shock with a simple biased average procedure”, June, 1997.
13. ’First Conference of Young Chinese Mathematicians in North America’,
Berkeley, CA, organized by Tianyuan Foundation
“Efficient Numerical Methods for Incompressible Flows”, June, 1997.
14. ’Numerical Methods for Differential Equations’,
Mittag-Leffler Institute, Sweden, organized by B. Engquist
“Convergence of vortex methods for vortex sheet”, September, 1997.
15. ’Workshop on Multi-scalar Problem’,
Oberwohlfach, Germany, organized by W. Jager
“Numerical methods for oscillatory solution to hyperbolic equations”, May, 1998.
16. Summer school on “Incompressible Flow Computations”,
Beijing International Center for Computational Physics
Principal lecturer (10 lectures) on “Incompressible flow computation”, August, 1998.
17. First International Congress of Chinese Mathematicians, Beijing, China
“Searching for the most efficient numerical methods for incompressible flow”,
December, 1998.
18. Winter school on “Incompressible Flow Computations”,
National Tsing Hua University, Taiwan
9

Principal lecturer (5 lectures), December, 1998.
19. 1998 International Mathematics Conference and Annual Meeting of
Mathematical Society, Taiwan
“Gauge methods for incompressible flow”, December, 1998.
20. 7th Workshop on Differential Equations and its Applications
National Chung-Hsing University, Taiwan
“Analysis and simulation of vortex sheet problem”, January, 1999.
21. CNLS Work on Incompressible Fluid Flows: Numerical Methods and Applications
Center for Nonlinear Studies, Los Alamos National Laboratory
Organized by S.Y. Chen, W. E and J. M. Hyman
“Projection methods, gauge methods, and pressure Poisson equations”, April, 1999
22. IMS Conference on Difference Equations from Mechanics,
Hong Kong, organized by Z. Xin
“Numerical methods for incompressible flow”, May, 1999
23. Sixth Workshops on Scientific Computing
Baptist University, Hong Kong, organized by T. Tang
“Simulation of Combustion Flows”, June, 1999
24. Summer School of Mathematics for Graduate Students in China
Fudan University, organized by C.H. Gu
Principal lecturer (5 lectures) on “Incompressible flow computation”, August, 1999
25. Ten Lectures on Hydrodynamics and Magneto-hydrodynamics Computation
National Taiwan University, organized by I.L. Chern
Principal lecturer, July, 2000
26. Summer School on Scientific Computation
Fudan University, organized by L.K. Li
Principal lecturer, August, 2000
27. Theory and Application of Finite Element and Related Methods
National Center for Theoretical Sciences, Taiwan
“An Accurate Pressure Poisson Solver for Incompressible Flow”, June, 2001
28. Summer Course: Scientific Computing
Peking University, organized by Pingwen Zhang
Principal lecturer, July, 2001
29. The Tenth South Eastern Approximation Theory Conference, Athens, Georgia
“Efficient Numerical Methods for Incompressible Flows” (keynote Speaker),
March, 2002
30. IMS Workshop on PDE and Their Numerical Methods, Chinese University of Hong Kong
“Thin Film Epitaxy with the Ehrlich-Schwoebel Effect”, July, 2002
31. Summer School of Mathematics for Graduate Students in China, Jinlin University
“Efficient Numerical Methods for Incompressible Flows”, July, 2002
32. Workshop on Scientific Computing, Xiangtan University, China
“Thin Film Epitaxy with the Ehrlich-Schwoebel Effect”, July, 2002
33. CSCAMM workshop on “Perspectives on incompressible flows –
10

Comparison of different computational strategies”, Maryland
“A class of numerical methods based on local vorticity boundary conditions
and local pressure boundary conditions”, April, 2003
34. “Nonlinear Hyperbolic Waves in Phase Dynamics and Astrophysics”,
Newton Institute, Cambridge, UK, April, 2003
35. CSCAMM workshop on “Analysis and Numerics for Modelling Semiconductor Devices
and Biological Channels”, Maryland
“Ground state of nonlinear Schrödinger equation as a limit of a gradient flow”, May, 2003
36. ICIAM’03, Mini-symposium on “Kinetic Theory and Related Hyperbolic Problems”
Australia, organized by K. Trivisa
“Concepts and Application of Time Limiters to High Resolution Schemes”, July, 2003
37. International Conference on Numerical Methods in Imaging Science and
Information Processing, IMS/NUS, Singapore
“Fourth Evolution PDE for image process”, December, 2003
38. CSCAMM workshop on “Analytical and Computational Challenges of Incompressible
Flows at High Reynolds Number”, Maryland,
“Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment
of the pressure term”, May, 2004
39. Shanghai Summer School on Analysis and Numerics in Modern Sciences, Fudan University,
“Multi-Scale Phenomena in Complex Fluids: Modeling, Analysis and Simulation”
(Organizer and main lecture), May 2004
40. Int’l Workshop on Nonlinear Waves, On the occasion of George Papanicolaou’s
60th Birthday, Hong Kong
“Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment
of the pressure term”, June, 2004
41. “The third workshop on multiscle modeling of complex fluid”, Peking University
“Numerical methods for simple and complex fluids”, July, 2004
42. Conference on Analysis, Modeling and Computation of PDE
and Multiphase Flow, On the occasion of James Glimm’s 70th Birthday Stony Brook,
“Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics”, August, 2004
43. The Tenth International Conference on Hyperbolic Problems: Theory, Numerics
and Applications, Osaka, Japan
Plenary Lecturer “On incompressible Navier-Stokes dynamics: a new approach
for analysis and computation”, September, 2004
44. The Sixth International Workshop on Mathematical Aspects of Fluid ,
and Plasma Dynamics, Kyoto, Japan
“‘Energy and Helicity Preserving Schemes for Hydrodynamic ”, September, 2004
45. Nanoscale Material Interfaces: Experiment, Theory and Simulation
IMS/NUS, Singapore
”Coarsening dynamics and continuum modeling for epitaxial growth of thin films” ,
November, 2004
46. Third International Congress of Chinese Mathematicians, Hong Kong
11

“Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics”,
December, 2004
47. Developments in Navier-Stokes Equations & Turbulence Research,
IMS/NUS, Singapore
“Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics”,
December, 2004
48. “First Singapore Workshop on PDE and Scientific Computing”, IMS/NUS, Singapore
“On incompressible Navier-Stokes dynamics: a new approach for analysis and computation”,
December, 2004
49. “The Nonlinear Partial Differential Equations: Analysis, Numerics and Applications”,
IMS/NUS, Singapore
“Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics”, May, 2005
50. “International Conference on Scientific Computing”, Nanjing, China
“‘Finite element Navier-Stokes solvers without Inf-Sup condition’”, June, 2005
51. ”International Conference on Multiscale Modeling and Scientific Computing”,
in honor of Professor Bjorn Engquist on occasion of his 60th birthday, Beijing,
“Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics”, June, 2005
52. Kyoto Conference on the Navier-Stokes equations and their Applications
“Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate”,
January, 2006
53. “Frontiers in Applied and Computational Mathematics”, New Jersey Institute of Technology
“Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate”,
May 2006
54. ”NCTS International Workshop on Scientific Computing”, Taiwan
“On incompressible Navier-Stokes dynamics: a new approach for analysis and computation”,
June, 2006
55. “School on Modern Numerical Methods in Math and Physics”, NCTS, Taiwan
“Mathematical Modellings and Numerical Methods for Multi-scale Problems I & II ”,
July 2006
56. “Analytical and Computational Challenges of Incompressible Flows at High Reynolds
Number”, CSCAMM, Maryland
“Pressure Estimate for the Incompressible Navier-Stokes Equation in a Bounded Domain”,
October, 2006
57. The Second Minnhokee Memorial Lecture, Department of Mathematics,
Seoul National University, South Korea
“On incompressible Navier-Stokes dynamics: a new approach for analysis and computation”,
April 30, 2007
58. “Second Workshop on Nonlinear Partial Differential Equations: Analysis, Numerics
12

and Applications”, Soul, Korea
“On incompressible Navier-Stokes dynamics: a new approach for analysis and computation”,
May 2007
59. International Conference on Applied Partial Differential Equations, East China Normal University,
‘Estimate on Laplace-Leary commutators and application to Navier- Stokes equation”,
July 2007
60. Workshop on ”Quantized vortices in superfluidity and superconductivity and kinetic theory”
IMS/NUS, Singapore
“Macroscopic fluid models with localized kinetic upscaling effects”,
December, 2007
61. Fourth International Congress of Chinese Mathematicians, Hangzhou, China
“Characterization and Regularity of Symmetric Solenoidal Vector Fields with
Application to Navier-Stokes Equation”,
December, 2007
62. Recent Developments in Numerical Methods for Nonlinear Hyperbolic Partial Differential
Equations and their Applications, Banff Int’l Research Station for Math Innovation and Discovery
“All speed asymptotic-preserving schemes for compressible flows”
August, 2008
Contributed talks at conferences
1. ONR Workshop on Conservation Laws and Shock Capturing, Columbia,
“Convergence of high order schemes for conservation laws”, September, 1991
2. Workshop on Perturbation Methods in Physical Mathematics,
Rensselaer Polytechnic Institute
“Fluid dynamical limit of Broadwell equations”, June, 1993
3. 5th International Conference on Hyperbolic Problems, Theory, Numerics,
and Application, SUNY at Stony Brook
“Analysis of vortex methods for vortex sheet problem”, April, 1994
4. Annual Meeting Message of the APS Division of Fluid Dynamics
“A simple finite element method for incompressible flow”, Novermber, 1995
5. Annual Meeting Message of the APS Division of Fluid Dynamics
“High order numerical methods for large Reynolds numbers incompressible flow”,
November, 1998
6. The Finite Element Circus, University of Maryland
“Efficient finite element methods for unsteady incompressible flow”, Novermber, 1998
7. The Finite Element Circus, Penn State University
“Convergence of a Galerkin method for 2D incompressible discontinuous flows”, April, 1999
8. International Symposium on Discontinuous Galerkin Methods, Newport, RI
“A discontinuous Galerkin method for incompressible flow”, May, 1999
9. Int’l Conference on Scientific Computing and PDEs, On the occasion of
Stanley Osher’s 60th Birthday, Hong Kong
13

“Energy and helicity preserving scheme”, December, 2002
10. The Finite Element Circus, University of Delaware
“Novel finite element methods for Navier-Stokes equations”, April. 2005
11. The Finite Element Circus, Rutgers University
“Finite element Navier-Stokes solvers without Inf-Sup condition”, 10/05
Colloquia and Seminars
1. University of California, Los Angeles, Partial Differential Equation Seminar
“Large time behavior for conservation laws”, April 19, 1989
2. University of California, Los Angeles, Student Numerical Analysis Seminar
“A optimal fast Poisson solver”, May 12, 1990
3. Mathematical Sciences Research Institute, Berkeley, Partial Differential
Equation Postdoc Seminar
“Homogenization and numerical methods for hyperbolic eq I”, Sept 27, 1990
4. Mathematical Sciences Research Institute, Berkeley, Partial Differential
Equation Postdoc Seminar
“Homogenization and numerical methods for hyperbolic eq II”, Sept 28, 1990
5. Argonne National Laboratory, Mathematical Division Seminar
“Convergence of a 2nd order shock capturing scheme for isotropic gas dynamics”, Aug 1, 1991
6. Courant Institute for Mathematical Sciences, New York University,
Analysis Seminar
“Nonlinear stability of discrete shocks for systems of conservation laws”, Feb 18, 1992
7. University of Southern California, Colloquium
“Nonlinear stability of discrete shocks for systems of conservation laws”, Feb 27, 1992
8. University of Minnesota, Numerical Partial Differential Equation Seminar
“Nonlinear stability of discrete shocks for systems of conservation laws”, March 12, 1992
9. Columbia University, Applied Mathematics Colloquium
“Viscosity profile & numerical methods for shock waves”, April 6, 1992
10. University of Massachusetts, Colloquium
“Nonlinear stability of discrete shocks for systems of conservation laws”, April 29, 1992
11. Massachusetts Institute of Technology, Special Seminar
“Fluid-dynamic limit and boundary layer”, Jan 1, 1993
12. Iowa State University, Numerical Analysis Seminar
“Projection methods for incompressible flows”, Feb 4, 1993
13. Iowa State University, Partial Differential Equation Seminar
“Fluid-dynamic limit and boundary layer”, Feb 5, 1993
14. University of Michigan, Differential Equation Seminar
“Nonlinear stability of discrete shocks for systems of conservation laws”, Feb 11, 1993
15. Indiana University, Colloquium
“Fluid-dynamic limit and boundary layer for Broadwell equation”, Feb 15, 1993
14

16. University of Wyoming, Colloquium
“Projection methods for incompressible flows”, Feb 22, 1993
17. Temple University, Colloquium
“Fluid-dynamic limit and boundary layer for Broadwell equation”, Feb 25, 1993
18. Brown University, Numerical Analysis Seminar
“Fluid-dynamic limit and boundary layer for Broadwell equation”, April 9, 1993
19. Indiana University - Purdue University Indianapolis, Colloquium
“Fluid-dynamic limit and boundary layer for Broadwell equation”, April 25, 1993
20. Georgia Institute of Technology, Numerical Analysis Seminar
“Analysis of vortex sheet simulations”, Feb 18, 1994
21. Peking University, Special Seminar
“Analysis of vortex sheet simulations”, June 27, 1994
22. Institute of Mechanics, Academia Sinica
“Efficient numerical methods for large Reynolds number unsteady viscous
incompressible flows in the presence of boundary”, June 28, 1994
23. Institute of Applied Physics and Computational Mathematics, Beijing,
Special Seminar
“Efficient numerical methods for incompressible flows”, June 29, 1994
24. Princeton University, Fluid Dynamics Research Center Seminar
“Driven Cavity Turbulence”, Nov 11, 1994
25. Georgia Institute of Technology, Numerical Analysis Seminar
“Analysis of vortex sheet simulations’, Jan 6, 1995
26. Pennsylvania State University, Applied Mathematics Colloquium
“Efficient numerical methods for incompressible flows”, Jan 20, 1995
27. Georgia Institute of Technology, Numerical Analysis Seminar
“Efficient and parallel computation of Navier-Stokes equations”, Jan 2, 1996
28. Courant Institute for Mathematical Sciences, New York University,
Numerical Analysis Seminar
“Efficient numerical methods for Navier-Stokes equations”, April 5, 1996
29. Georgetown University; Colloquium
“Pricing of mortgage-backed securities with option-adjusted spread”, April 19, 1996
30. Institute of Computational Mathematics, Academia Sinica, Special Seminar
“Analysis of projection methods”, June 28, 1996
31. Hong Kong University of Sciences and Technology, Numerical Analysis Seminar
“Simple numerical methods for incompressible flows”, July 24, 1996
32. University of Maryland; Special Seminar
“Efficient numerical methods for compressible flows”, April 2, 1997
33. Brown University; Numerical Analysis Seminar
“Gauge method for incompressible flows”, April 11, 1997
34. University of Maryland, Numerical Analysis seminar
15

“Efficient FEM for unsteady incompressible flows”, Feb 19, 1998
35. Northwestern University; Partial Differential Equation Seminar
“Analysis of vortex sheet simulations”, April 2, 1998
36.
École Polytechnique, France, Colloquium
“High order biased-average shock capturing schemes”, June 9, 1998
37. Université de Clermont Ferrand, France, Partial Differential Equation Seminar
“Boundary layer behavior in Broadwell equation”, June 7, 1998
38. Université de Reims, France, Partial Differential Equation Seminar
“Efficient numerical methods for compressible flows”, June 23, 1998
39. National Chung Cheng University, Taiwan, Colloquium
“Gauge methods for incompressible flow”, Jan 7, 1999
40. Stanford University, Applied Mathematics Seminar
“Efficient numerical methods for unsteady incompressible flow
at large Reynolds numbers”, Jan 22, 1999
41. University of Kentucky, Colloquium at Center for Computational Sciences
“Efficient numerical methods for unsteady incompressible flow
at large Reynolds numbers”, March 24, 1999
42. University of Georgia, Colloquium
“Numerical methods for incompressible Boussinesq flow”, March 25, 1999
43. Indiana University, Partial Differential Equation Seminar
“Analysis and simulation of 2D incompressible discontinuous flows”, April 5, 1999
44. Institute of Mathematical Sciences, Chinese University of Hong Kong
“Efficient numerical methods for incompressible flow I”, June 23, 1999
45. Institute of Mathematical Sciences, Chinese University of Hong Kong
“Efficient numerical methods for incompressible flow II”, June 25, 1999
46. National Taiwan University, Special Seminar
“Monte Carlo method and its applications”, July 5, 1999
47. National Taiwan University, Special Seminar
“Numerical method for Poisson-Boltzmann equation
and its application to drug design”, July 6, 1999
48. National Center for Theoretical Sciences, Seminar
“Introduction to the Poisson-Boltzmann equation and numerical methods”, July 6, 1999
49. University of Maryland, Applied Dynamics Seminar
“Simulation of vortical dynamics in large Reynolds number incompressible flow”,
Nov 11, 1999
50. University of California Irvine, Applied Mathematics Seminar
“Zero Viscosity Limit of Flow Past Cylinder”, April 3, 2000
51. University of California, Los Angeles, Applied Mathematics Colloquium
“Zero Viscosity Limit of Flow Past Cylinder”, April 4, 2000
52. Hong Kong Baptist University, Colloquium
16

“An Accurate Pressure Poisson Solver for Incompressible Flow”, May 8, 2000
53. Hong Kong Chinese University, IMS Partial Differential Equation Seminar
“Zero Viscosity Limit of Flow Past Cylinder I”, May 12, 2000
54. Hong Kong University of Science and Technology, Colloquium
“Zero Viscosity Limit of Flow Past Cylinder”, May 17, 2000
55. Hong Kong Chinese University, IMS Partial Differential Equation Seminar
“Zero Viscosity Limit of Flow Past Cylinder II”, May 19, 2000
56. Tongji University, Shanghai, Special Seminar
“An Accurate Pressure Poisson Solver for Incompressible Flow”, May 23, 2000
57. National Taiwan University, Special Seminar
“Prandtl Equation and Zero Viscosity Limit of Navier Stokes Equation”, July 16, 2000
58. Fudan University, Shanghai, Special Seminar
“Numerical method for Poisson-Boltzmann equation
and its application to drug design”, Aug 3, 2000
59. Nanjing Aerospace and Aeronautic University, Special Seminar
“An Accurate Pressure Poisson Solver for Incompressible Flow”, Aug 20, 2000
60. University of Maryland, Numerical Analysis Seminar
“Energy and Helicity Preserving Schemes for Hydrodynamic and
Magnetohydrodynamic Flows with Symmetry”, Oct 5, 2000
61. Pennsylvania State University, Applied Math Seminar
“Energy and Helicity Preserving Schemes for Hydrodynamic and
Magnetohydrodynamic Flows with Symmetry”, Dec 1, 2000
62. National Center for Theoretical Sciences, Seminar
“A high resolution scheme for ideal compressible MHD equation”, July 6, 2001
63. Institute of Mathematics, Academia Sinica, Colloquium
“Energy and Helicity Preserving Schemes for Hydrodynamic and
Magnetohydrodynamic Flows with Symmetry”, July 13, 2001
64. Université de Clermont Ferrand, France, Partial Differential Equation Seminar
“Energy and Helicity Preserving Schemes for Hydrodynamic and
Magnetohydrodynamic Flows with Symmetry”, Jan 14, 2002
65. Université de Clermont Ferrand, France, Partial Differential Equation Seminar
“Hydrodynamic limit of vortex system for 2D incompressible flow”, Jan 17, 2002
66. Hong Kong University of Science and Technology, Seminar on Applied Mathematic
“Introduction to Geophysical Flow and Computation I”, June 30, 2002
67. Hong Kong University of Science and Technology, Seminar on Applied Mathematic
“Introduction to Geophysical Flow and Computation II”, June 31, 2002
68. Chinese University of Hong Kong, Numerical Analysis Seminar
“Projection methods for incompressible flow”, July 12, 2002
69. National University of Singapore, Computational Science Colloquium
“Efficient Numerical Methods for Incompressible Flows”, July 19, 2002
17

70. Institute of High Performance Computing, Singapore, Special Seminar
“Energy and Helicity Preserving Schemes for Hydrodynamic and
Magnetohydrodynamic Flows with Symmetry”, July 22, 2002
71. Temasek Laboratories, Singapore, Seminar
“Concepts and Application of Time Limiters to High Resolution Schemes”, July 25, 2002
72. National University of Singapore, Colloquium
“Conservative Schemes for Some Nonlinear Systems”, March 25, 2003
73. Fudan University, Special Talk
“Ground State of Nonlinear Schrödinger Equation as a Limit of a Gradient Flow”,
July 23, 2003
74. SUNY at Stony Brook, AMS Department, Colloquium
“Accurate, stable and efficient Navier-Stokes solvers based on explicit
treatment of the pressure term”, Oct 17, 2003
75. Courant Institute for Mathematical Sciences, New York University,
Numerical Analysis Seminar, “On incompressible Navier-Stokes
dynamics - a new approach for analysis and computation”, Oct 8, 2004
76. Florida State University, Math Dept, Colloquium
“On incompressible Navier-Stokes dynamics - a new approach for
analysis and computation”, Oct 22, 2004
77. University of California Irvine, Computational and Applied Mathematics Seminar
“Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics”, April 22, 2005
78. Universite Paul Sabatier, Groupe de travail
“Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics”, June 16, 2005
79. Universite Pierre et Marie Curie, Seminaire du Laboratoire Jacques-Louis Lions
“Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics”, June 17, 2005
80. University of Maryland, College park, Numerical Analysis Seminar
“Novel Finite Element Navier-Stokes Solvers without Inf-Sup Conditions”, Sep 6, 2005
81. University of Maryland, Baltimore County, Colloquium
“Finite Element Navier-Stokes Solvers without Inf-Sup Conditions”, Sep 16, 2005
82. University of Chicago, CAMP/Nonlinear PDE’s Seminar
“Divorcing pressure from viscosity in computing incompressible Navier-Stokes
dynamics in bounded domains”, Nov 16, 2005
83. Northwestern University, PDE Seminar
“Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate”,
Nov 16, 2005
84. University of North Carolina at Charlotte, Numerical Analysis and Math Physics Seminar
“Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate”,
April 18, 2006
85. Tel Aviv University, Numerical Analysis Seminar
“Incompressible Navier-Stokes dynamics in bounded domains —a new approach
for analysis and computation”, July 30, 2006
18

86. Hebrew University Jerusalem, Israel, Seminar in Applied Mathematics
“Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate”,
July 31, 2006
87. Weizmann Institute of Science, Mathematical Analysis and Applications Seminar
“A new pressure estimate for the incompressible Navier-Stokes equations
in a bounded domain”, Aug 8, 2006
88. Weizmann Institute of Science, Informal Seminar
“Analysis and computation for axisymmetric flow”, Aug 10, 2006
89. Georgia Institute of Technology, PDE Seminar
“Pressure estimates for Navier-Stokes equation in bounded domain”, Oct 10, 2006
90. Michigan State University, Applied Math Seminar
“Pressure estimates for Navier-Stokes equation in bounded domain”, Nov 7, 2006
91. North Carolina State University, Raleigh, Differential Equations Seminar,
“Pressure Estimate for the Incompressible Navier-Stokes Equation in a Bounded Domain”,
Nov 15, 2006
91. University of North-Carolina at Chapel Hill, Applied Math Colloquium,
“A new approach for analysis and computation of Navier-Stokes Equation in bounded domains”,
Dec 1, 2006
92. Duke University, Applied Math Seminar,
“Efficient formulation of Navier-Stokes Equation and computation”, Feb 5, 2007
93. Seoul National University, Special Seminar
“Incompressible Navier-Stokes Equation: Theory and Computation I ”,
April 28, 2007
94. Seoul National University, Special Seminar
“Incompressible Navier-Stokes Equation: Theory and Computation II ”,
April 29, 2007
95. Applied Math Seminar, National Taiwan University
“Fluid models with localized kinetic upscaling”, June 6, 2007
96. National Center for Theoretical Sciences, Taiwan, Seminar in Scientific Computation
“Asymptotic preserving Gauge schemes for transitional Mach number flows ”, June 14, 2007
97. National Chiao Tung University, Taiwan, Applied Math Seminar,
“No-slip Navier-Stokes solvers built with Laplace-Leray commutators”, June 15, 2007
98. Inst. of Math., Academia Sinica, Taiwan, Seminar on Applied Mathematics,
“Estimate on Laplace-Leary commutators and application to Navier-Stokes equation”, June 18, 2007
99. National Center for Theoretical Sciences, Taiwan, Seminar in Applied Math.
“Approximate projection operator, Uzawa iteration, sequential regularization and Navier-Stokes
solver”, June 20, 2007
100.The Chinese University of Hong Kong, IMS Seminar
“Characterization and Regularity of Symmetric Solenoidal Vector Fields with Application
to Navier-Stokes Equation”, June 28, 2007
101.University of Wisconsin, Applied Math & PDE Seminar
19

“Finite element Navier-Stokes solvers based on an unconstrained reformulation”,
Feb 22, 2008
102.University of Delaware, Applied Math Seminar
“Finite element Navier-Stokes solvers based on an unconstrained reformulation”,
March 4, 2008
103.Université Paul Sabatier, Toulouse, France, Séminaire du laboratoire, Laboratoire MIP,
“On computation of incompressible flow past a sphere”,
March 10, 2008
104.Duke University, the Brown Bag seminar
“A simple proof of Cucker-Smale flocking dynamics and the mean field limit”,
March 21, 2008
105.Duke University, CNCS Seminarr
“Computation of incompressible flow past a sphere and local behavior of boundary layer separation”,
April 1, 2008
106.Duke University, Physics Colloquium
“The Challenge of Simulating Incompressible Fluid Flow Accurately in the Presence of Boundaries”,
May 6, 2008
107.UNC Charlotte, Applied and Computational Mathematics Seminar
“The Challenge of Simulating Incompressible Fluid Flow Accurately in the Presence of Boundaries”,
May 9, 2008
TEACHING AND ADVISING
A. Courses taught in the last 5 years
Spring 08 Math 108 Ord & Prtl Diff Equations (Duke)
Fall 07 Math 226 Numerical methods for PDE (Duke)
Spring 07 Math 274 History of Mathematics (28 students)
Fall 06 AMSC/CMSC663 Advanced Scientific Computation I (7 students)
Fall 06 Math 424 Introduction to the Mathematics of Finance (28 students)
Spring 06 Math 475 Combinatorics and Graph Theory (14 students)
Fall 05 AMSC/CMSC666 Numerical Analysis I (15 students)
Fall 05 Math 424 Introduction to the Mathematics of Finance (13 students)
Fall 04 AMSC/CMSC662 Computer Organization and Programming for Scientific Computing
Spring 04 AMSC/CMSC667 Advanced Numerical Analysis II (10 students)
Fall 03 AMSC/CMSC662 Computer Organization and Programming for Scientific Computing
Fall 03 Stat 464 Introduction to Biostatistics (10 students)
Fall 02 Stat 430 Introduction to Statistical Computing (25 students)
Spring 02 AMSC/CMSC661 Scientific Computing II (30 students)
Fall 01 AMSC/CMSC660 Scientific Computing I (49 students)
Fall 01 Math 246 Differential Equations for Scientists and Engineers (28 students)
Spring 01 MAPL/CMSC661 Scientific Computing II (20 students)
Spring 01 STAT 400 Applied Probability and Statistics (31 students)
Fall 00 MAPL/CMSC660 Scientific Computing I (34 students)
Spring 00 MAPL 699 Financial Modeling & Simulation (18 students)
Fall 99 MAPL 698B Computational Fluid Dynamics (16 students)
20

Spring 99 MAPL/CMSC661 Scientific Computing II (10 students)
Fall 98 MAPL/CMSC660 Scientific Computing I (15 students)
Spring 98 MAPL/CMSC466 Introduction to Numerical Analysis I (22 students)
New courses developed:
Computational Fluid Dynamics, MAPL 698B, Fall, 99
Financial Modeling & Simulation, MAPL 699, Spring 00
One of the main developers for a Math Finance Certificate program consisting the following 4 courses
MAIT 650: Applied Mathematics for Finance
MAIT 652: Principles of Financial Models
MAIT 654: Simulations in Finance
MAIT 679: Topics in Mathematics of Finance
Further development of existing courses:
Scientific Computing I & II, AMSC/CMSC 660-661, Fall 98 and Spring 99,
Advanced Scientific Computation I & II, AMSC/CMSC663/664, Fall 06 and Spring 07
Computer Organization & Programming for Scientific Computing, AMSC/CMSC662, Fall 03 and Fall 04
Introduction to Statistical Computing & SAS, Stat 430, Fall 02
History of Mathematics, recently approved as a course for the university CORE program, Spring 2007
Course coordinator/chair:
Differential Equations for Scientists and Engineers, Math 246, Fall 01
B. Ph.D. Students
1. Hwajeong Choi, PhD 1997
Thesis: “Robust Numerical Methods for Conservation Laws Using a Biased
Averaging Procedure”,
Position: Postdoc at Courant Institute for Mathematical Sciences, New York
University, 1997-8; Korea NSF Postdoc, Seoul National University; 1998–
2. Hans E. Johnston, PhD 1999
Thesis: “Efficient Computation of Viscous Incompressible Flow”,
Position: Assistant Professor at University of Massachusetts, Amherst
3. Cheng Wang, PhD 2000
Thesis: “High Order Finite Difference Method for Incompressible Flow”,
Position: Assistant Professor at University of Tennessee, Knoxville
4. Jianjun Xu, PhD 2001
“Studies of High Order Finite/Spectral Element Methods for Unsteady Incompressible Viscous Flow”
Position: Visiting Assistant Professor at University of California, Irvine
5. kexue Liu, PhD 2004
“Nonlinear Evolutionary PDEs in Image Processing and Computer Vision”
Position: Mathematician, International Monetary Fund, Washington DC
6. Jie Liu, PhD 2006
“A Class of Efficient, Stable Navier-Stokes Solvers”
Position: Visiting Assistant Professor at University of California, Irvine
7. Linbao Zhang, passed Candidacy Exam in 2006
21

C. M.S. Students
1. Jing-Yi Shane, MS 1996
“Study the effect of random propagation on geometry fractal”
2. Mahendra J Bhagwat, MS 2001
“Mathematical contributions to time-accurate modeling of helicopter rotor wakes”
3. Karthikeyan Duraisamy, MS 2004
“Development of a New Class of High order Implicit Non-Oscillatory
Schemes for Conservation Laws”
D. Postdoctoral Fellows
Yin-Liang Huang, 2005-06, currently a Post Doc, National Tsing Hua University, Taiwan
Xuliang Lu, 2006-07, Currently a Research Scientist, Johann Radon Institute for Computational
and Applied Mathematics, Austrian Academy of Sciences
SERVICE
Service to the university
College:
Member of Monroe Martin Prize Committee, 2005-2006
Member of Monroe Martin Prize Committee, 2000-2001
Member of Search Committee for the director of the Center for Scientific
Computation and Mathematical Modeling (CSCMM), 2000
Participated in drafting a proposal on CSCMM, 1999
Acting Policy Coordinator for Information Technology, 2001-2002
University:
Member of Fluid Dynamics Review in Department of Mechanical Engineering, 1999-2002
Served as Faculty Advisor for Chinese Student and Scholar Association(CSSA) of UMD, 2005–Now
Served as Dean’s representative on a doctoral committee for
Huayang Zhu, Department of Mechanical Engineering, PhD 2000
Ju-Yong Kim, Department of Chemical Engineering, PhD 2000
Mahendra J Bhagwat, Department of Aerospace Engineering, PhD 2001
James Reuster, Department of Aerospace Engineering, PhD 2001
Cheng-Fu Chou, Department of Computer Sciences, PhD 2002
Tong Zhu, Department of Meteorology, PhD 2002
Jayanarayanan Sitaraman, Department of Aerospace Engineering, PhD 2003
Shreyas Ananthan, Department of Aerospace Engineering PhD 2003
Yik-loon Lee, Department of Aerospace Engineering PhD 2004
Jinsong Bao, Department of Aerospace Engineering, PhD 2004
Xiaoping Xiong, Smith School of Business, 2004
K. Duraisamy, Department of Aerospace Engineering, PhD 2005
Changjiang Yang, Department of Computer Science, PhD 2005
Hailu Gebremariam, Department of Physics, PhD 2005
Lubo Zhou, Department of Physics, PhD 2006
Azadeh Davoodi, Department of Electrical and Computer Engineering, PhD 2006
Hailu G. Bantu, Department of Aerospace Engineering, PhD 2006
Huiju (Joy) Zhang, Robert H. Smith School of Business, PhD 2007
Yingchuan Li, Department of Physics, PhD 2007
22

Ken Hsieh, Department of Physics, PhD 2007
Departmental Service
Mathematics Department:
Colloquium Chair, 2005–2007
Post Doc Selection Committee, 2006–2007
CSCAMM–Math search committee, 2006–2007
Elected Member of Policy Committee, 2000-2001
Member of Graduate Admissions and Financial Aid Committee, 2000–
Member of Mathnet Committee, 2000–
Chair of Mathnet Committee, 2001–2002
Member of Building Committee, 1999-2000
Member of Holiday Party, 1999-2000
Organizer for the Numerical Analysis Seminar, 1998-1999
Member of Numerical Analysis Field Committee, 1998–
Member of Partial Differential Equation Field Committee, 1998–
Member of Statistics and Probability Field Committee, 2001–
Preparation, checking, and grading of the Numerical Analysis Qualifying Exam, 2000–
Grading of the Partial Differential Equation Qualifying Exam, 2000–
Co-director for RIT on Modeling, Analysis, and Computation of Interfaces in Material Science, 2002–
Co-director for RIT on Fluid Behavior in Classical, Kinetic and Quantum Regimes, 2002–
Co-director for RIT on Numerical Methods for PDE: Analysis and Computation, 2002–
Institute for Physical Science and Technology:
Elected Member of IPST FAS committee, 2004–
Elected Member of IPST Policy Committee, 2000-2002
Elected Member of IPST FAPT Committee, 1999-2001
Member of IPST Five Year Plan Committee, 1999-2001
Programm in Applied Mathematics and Scientific Computing:
Elected Member of MAPL Graduate Committee, 1999-2001
Served on AMSC doctoral committee for:
Bei Wang, PhD 1998
Jae-Hong Pyo, PhD 1998
Yin-Tzer Shih, PhD1998
David Lindsay, PhD 1999
Tom Frohman, PhD 1999
Heesun Kiem, 2000
Richard Kollar, Math, PhD 2004
Aaron Lott, AMSC Program, 2005
Xiaoping Jiang , Stat Program, MS 2005
Yang Cheng, PhD Stat Program, PhD 2004
Purnendu Chakraborty, AMSC 2006
Xianfang Wu, AMSC PhD 2005
Khamron Mekchay, AMSC PhD 2006
Gunay Dogan, AMSC Ph.D. 2006
Cory D. Hauck, AMSC Ph.D. 2006
Weigang Zhong, AMSC, Ph.D. 2007
Robert Shuttleworth , AMSC Ph.D. 2007
Bin Cheng, AMSC Ph.D. 2007
23

Dongming Wei , AMSC Ph.D. 2007
Qing Xia, AMSC Ph.D. 2007
David Bourne, AMSC Ph.D. 2007
Served on AMSC Student Advisor Committee for:
Michael Rash, 1998
Sun Hee Kim, 1999
Feiyue Li, 2000
Samvit Prakash, 2000
Simon Schurr, 2000
Robert R. Shuttleworth, 2005
Chris Guenther, 2005
Yongjun Luo, 2005
Fei Xue, 2006
Patrick Rabenold, 2006
Weigang Zhong, 2004
Served on Math698, section 3701, Pre-Candidacy Research for:
Eun Young Kim, Fall 2005
Served on AMSC698A, section 5301, Individual Instruction course for:
Virginia Kalb, Fall 2000
Richard Kollar, Fall 2000
Ju-Yi Yen, Fall 2000
Linbao Zhang, Fall 2005
Served on AMSC799, section 5601, Master’s Thesis Research Course for:
Mahendra J Bhagwat, Fall 2000
Armin A. Pruessner, Spring 2001
Served on AMSC689, section 0601, Research Interactions Course for:
Jie Liu, Fall 2002
Jie Liu, Spring 2003
Served on STAT689, section 0274, Research Interactions Course for:
Sheng Zhan, Fall 2005
Served on AMSC899, section 3701, PRE-CANDIDACY RESEARCH Course for:
Clarence Baney, Spring 2007
Served on AMSC899, section 3701, Doctoral Dissertation Research Course for:
Hua-Sheng Yen, Fall 2000
Hua-Sheng Yen, Spring 2001
Ju-Yi Yen, Spring 2001
Hua-Sheng Yen, Fall 2001
Ju-Yi Yen, Fall 2001
Hua-Sheng Yen, Spring 2002
Hua-Sheng Yen, Fall 2002
Hua-Sheng Yen, Spring 2003
Jie Liu, Fall 2005
Linbao Zhang, Spring 2007
Linbao Zhang, Fall 2007
Served on MATH 899, section 7401, Doctoral Dissertation Research Course for:
24

Richard Kollar, Fall 2001
Served on exterior doctoral committee for:
Chaobin Liu, Temple University, PhD 2005
Jia Shuo, National University of Singapore, PhD 2006
Ana Maria Soane, University of Maryland, Baltimore County, PhD 2008
Service to the Mathematical community
Managing Editor for journal “Journal of Hyperbolic Differential Equations ”, 2004–2009
Board of Advisors (MATH) for World Scientific
Associate editor for journal “Communications in Mathematical Sciences”, 2001–2005
Editor for journal “Journal of Information and Computational Science”, 2005–2010
Associate editor for journal “Applied Mathematics — A Journal of Chinese Universities”, 2003–2007
Organizing Committee for “Beijing International Center for Computational Physics”, 1997-2001
Scientific Committee for “Beijing International Center for Computational Physics”, 2001-2005
Scientific Committee for “Shanghai School on Analysis and Numerics in Modern Sciences”, 2004–
Served on Panel: National Science Foundation, FMF Numerical Algorithms, 2004
Served on Panel: National Science Foundation, CFD, 2007
Reviewer for grant proposals
National Science Foundation
Department of Energy
Air Force Office of Scientific Research (AFOSR)
National Research Council
Hong Kong Research Council
City University of Hong Kong Research Office
Referee for papers for the following journals
Communications in Mathematical Physics
Communications on Pure and Applied Mathematics
Computers and Fluids
Computers and Mathematics
Journal of Computational Mathematics
Journal of Computational Physics
Journal of Fluid Mechanics
Journal of Nonlinear Science
Mathematics Reviews
Mathematics of Computation
Methods and Applications of Analysis
Numerical Methods for Partial Differential Equation
Physica D
SIAM Journal on Applied Mathematics
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing, etc
Conferences and Meetings Organized
25

1. Mini-symposia Co-Organizer (with S. Jin), 1995 SIAM Annual Meeting
“Incompressible Flow Computations”
2. Mini-symposia Co-Organizer (with C.-W. Shu), 1995 SIAM Annual Meeting
“High Resolution Methods for Compressible Flows”
3. Co-Organizer (with S. Jin, S.Y. Chen), Beijing
’96 Symposium on Computational Physics for Chinese Overseas and at Home
4. Member, Organizing Committee
The Finite Element Circus, University of Maryland, Nov 1998
5. Member, Organizing Committee
INTERPHASE 2001, University of Maryland
6. Member, Conference Committee
International Conference on Scientific Computing and Partial Differential Equations,
On the occasion of Stanley Osher’s 60th Birthday, Hong Kong, December 12-15, 2002
7. Organizer Committee
Workshop on “Perspectives on incompressible flows – Comparison of different
computational strategies”, CSCAMM, Maryland, October 13 - 31, 2003
8. Organizer Committee
Program on “Non-equilibrium Interface Dynamics: Theory and Simulation from
Atomistic to Continuum Scales”, CSCAMM, Maryland, April 7-11, 2003
9. Organizer Committee
Workshop on “Analytical and Computational Challenges of Incompressible
Flows at High Reynolds Number”, CSCAMM, Maryland, May 17-21, 2004
10. Co-Chair, Organizing Committee
Summer school on “Multi-scale Phenomena in Complex Fluids: Modeling,
Analysis and Simulation”, Fudan University, May 17 - June 16, 2004
11. Co-Chair, Organizing Committee
“Nanoscale Material Interfaces: Experiment, Theory and Simulation”
Singapore, Nov 24, 2004 - Jan 23, 2005
12. Co-Chair, Organizing Committee
“First Singapore Workshop on PDE and Scientific Computing”
Singapore, Dec 23-24, 2004
13. Organizing Committee
“The Nonlinear Partial Differential Equations: Analysis, Numerics and Applications”
Singapore, May 2005
14. Organizer Committee
Workshop on “Analytical and Computational Challenges of Incompressible Flows
at High Reynolds Numbe”, CSCAMM, Maryland, Oct 23-26, 2006
15. Co-Chair, Organizing Committee
“Second Workshop on Nonlinear Partial Differential Equations: Analysis, Numerics and
Applications”, Soul, Korea, May 2007
16. Co-Chair
“Twelfth International Conference on Hyperbolic Problems Theory, Numerics, Applications”
Maryland, May 2008
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