Croucher Laboratory on Multiscale Modeling and Simulations

The Croucher Laboratory on Multiscale Modeling and Simulations is funded by The Croucher Foundation.
People of this Lab are from Mathematics Department and Physics Department of The Hong Kong University of Science and Technology (HKUST).










To promote interdisciplinary research with a mission to pursue cutting edge research in the understanding of singular problems in nature that involve multiple active scales, and to develop high level computational and analytical methods for the effective treatment of such problems, with the goal of uncovering their governing laws.


The Significance of the Research on the Multiscale Modeling and Computations


  1. Characteristics of materials on the nanoscale by using mathematical modeling
  2. Effective numerical methods for singular problems
  3. Level set simulations for dislocation dynamics
  4. Multi-phase flows at solid surfaces
  5. Transition of the sense of equatorial jet in a convective envelope


Dr. Kwing Lam Chan Professor of Mathematics

Dr. Pakwo Leung Professor of Physics

Dr. Tiezheng Qian Associate Professor of Mathematics

Dr. Xiao-Ping Wang Chair Professor of Mathematics (Director of the Croucher Lab)

Dr. Yang Xiang Associate Professor of Mathematics

Dr. Kun Xu Chair Professor of Mathematics


Kwing Lam Chan Astrophysics; atomospheric dynamics; large-scale computation

Pakwo Leung Numerical studies of strongly correlated electron systems; application of parallel processing in computational physics

Tiezheng Qian Molecular simulation and hydrodynamic calculation of complex fluids; Monte Carlo simulations in statistical physics

Xiao-Ping Wang Adaptive methods for singular problems; numerical methods for micromagnetics simulations; phase transition; self-focusing in laser propagations; nonlinear waves

Yang Xiang Mathematical modeling and simulation in materials science; numerical analysis and scientific computing; partial differential equations

Kun Xu Computational fluid dynamics, gas kinetic schemes, rarefied gas flow; heat transfer


Croucher Lab Inaugural Seminar delivered by Prof. Shing-Tung Yau of Harvard University and Chinese University of Hong Kong, entitled
Application of Geometry to Computer Graphics and Medical Imaging
on 26 March 2004, 4:30p.m.-5:30p.m. at Lecture Theatre E, HKUST

Croucher Lab Seminar delivered by Prof. Yongli Mi of Department of Chemical Engineering, HKUST, entitled
Engineering the single molecules: from the basic concept to applications
on 27 April 2004, 4:30p.m.-5:30p.m. at Room 3401, HKUST

Croucher Lab Seminar delivered by Prof. Zhouping Xin of IMS, The Chinese University of Hong Kong, entitled
Multi-Dimensional Conservation Laws and Transonic Shock Waves
on 06 May 2004, 4:30p.m.-5:30p.m. at Room 3008, HKUST

Croucher Lab Seminar delivered by Prof. George Papanicolaou of Stanford University, entitled
Interferometric Array Imaging
on 31 May 2004, 3:00p.m.-4:00p.m. at Room 4333, HKUST

List of recent Croucher Lab seminars

The IAS Seminar Series on Soft Matter (since February 2009)


To cope with the upcoming challenges of even larger computational problems in the research area of high performance scientific computation, a Linux parallel cluster laboratory equipped with around 140 Intel Pentium IV/Xeon/AMD Althon PCs has been setup. By running message-passing programming systems like PVM (Parallel Virtual Machine) and MPI (Message Passing Interface), the aggregate power of these powerful computers can be used to solve resource-intensive computational problems.

More powerful clusters are constantly under construction.


Multiscale Modeling and Computation by Weinan E and Bjorn Engquist, in Notices of the AMS

Center for Integrative Multiscale Modeling and Simulation in Caltech

A Website for Multiscale Analysis, Modeling and Computation in Princeton

Multiscale Modeling and Simulation, a SIAM Journal


Workshop on Multiscale Modeling: Complex Fluids and Microfluidics
(HKUST, January 9-13, 2006)
IAS Workshop on Mathematics of Multi-Scale Problems
(HKUST, December 9-13, 2007)

This website is maintained by Tiezheng Qian
Last Update: November 18, 2013