Q. Du
  Vita-Research-Teaching-Personal-Links

  Our Research Team

We are constantly looking for diligient and bright students to join us
and to form an active and diverse research team.
If you are interested in working with us, email me!

  The Math members :

  • Jian Zhang is a post-doc, who graduated from University of Minnesota and he is working on adaptive finite element methods for various applications.
  • Sovan Das is a post-doc, who graduated from Cornell, and he is working on the modeling and simulation of vesicle membranes.
  • Lei Zhang is working on stochastic differential equations and nucleation theory. The latter is a long standing problem in materials science. He recently published a paper on the effect of elasticity on critical nucleation profile in Phys Rev Lett in 2007 and was awarded a Pritchard fellowship.
  • Tianjiang Li has worked on a data-mining problem, in particular, with dimension reduction of rotation free data sets. He is now working on problems related to cell interactions and also on the mode identification problem in data mining.
  • Manlin Li is studying stochastic differential equations, large deviation theory and models of bilayer membranes, he published a paper on the mathematical theory of the phase field models for fluid-membrane interactions in DCDS-B 2007.
  • Yanxiang Zhao is working on geometric variations and flows, recently he has been studying the anisotropic mean curvature energies.
  • Recently, we coined the term TEAMS as the theme for the CAM@PS group's effort in graduate student training. TEAMS stands for the Training in Experiments, Analysis, Modeling and Simulation for our mathematics students. We hope that this can better prepare them to excel in their interdisciplinary research career in computational and applied mathematics.
  • Our group has a weekly unannounced research seminar where the members present their latest reading/research/questions, (the discussions are often very lively and stimulating, and we get a lot of laughs if nothing else) others are welcome to join us by emailing me.
  • We are also working with other math faculty members and students, like Prof. Andrew Belmonte, Prof. Chun Liu, Prof. Ludmil Zikatanov.

  Collaborators on campus:

  • CAM@PS: we are all part of the " Computational and Applied Mathematics at Penn State"
  • MATCASE: MATerials: Computers-Algorithms-Science-Engineering; our interdisciplinary NSF-ITR research team from 2002-2007
  • We are working with Dr.Cheng Dong's experimental group of the bioengineering dept to study the tumor metastasis.
  • CCMD: Center for Computational Materials Design. We are part of this NSF supported Industry/University Cooperative Research Center (I/UCRC) between PennState and GaTech.
  • We had a joint project on applying data mining techniques to physical simulations with Prof.Hongyuan Zha of Computer science, as well as facutly members Richard Li in Statistics and Jorge Sofo in Physics dept
  • We also had joint research project with the Communications and Space Sciences Lab in the Electrical Engineering dept
  • We have close contact with the experimental groups on superconductivity and atomic physics at the Physics dept.
  • We also establishedworking relations with a research group in Chemistry.
  • I am serving (or served) on thesis committees outside the math dept, and learning sujects like: Bose-Einstein condensates, multicomponent material simulations, geological studies. Recent thesis committees we have served include:
    William Trevor, Ph.D., Atomic Physics
    Jianxin Zhu, Ph.D., Materials science
    Rolf Ryham, Ph.D., Mathematics
    Jingzhi Zhu, Ph.D., Materials science
    Jason Williams, Ph.D, Physics
    Yizhong Qu, Ph.D, Mech Engineering
    Weixin Yao, Ph.D., Statistics
    Michael Higley, Ph.D., Mathematics
    Jia Pan, Ph.D., Mathematics and Economics
    Qina Zhou, Ph.D., Electric Engineering
    Shenyang Hu, Ph.D., Material science
    Long Chen, Ph.D., Mathematic
    Michael Sostarecz, Ph.D., Mathematics

  Former members/students:

  • Paul Gray: Paul graduated from MSU, worked at Emory, now a tenured computer scientisit in Iowa
  • Joan Remski: Joan graduated after I left MSU, she is now a tenured associate professor teaching in Michigan
  • Lili Ju: Lili was at IMA as an industrial post-doc, UMN and he is now a tenure track assistant professor at Univ. of S. Carolina. He received his first NSF research grant in 2006.
  • Desheng Wang. Desheng was a former post-doc and an expert on meshing. He got his Ph.D in CAS, China and had worked at the Swansea (UK). He is now a tenure track faculty in Singapore.
  • Maria Emelianenko: Maria was supported by NSF-CCR and NSF-ITR; she worked on some CVT related projects and optimization methods for computing thermodynamic phase diagrams; she has published a nice paper on phase equilibria computation jointly with Z. Liu at material science dept (was one of the top download at the journal web-site), she also completed a number of papers on computing CVTs including multi-level algorithms. She has visited IMA and also given a couple of very impressive presentations at NIST, Copper Mountain iterative conference, NYU domain decomposition conference, SIAM annual meeting in 2005. She received an honorable mention for student paper competition at the 2005 Copper Mountain iterative conference. She is now working as post-doc offer at the Center of Nonlinear Studies at Carnegie Mellon, and she was also offered a three year assistant professorship offer from University of Michigan (Ann Arbor). In 2007, she recerived tenure track offers from the Univ of Minn, Purdue Univ and a number of other schools.
  • Xiaoqiang Wang: Xiaoqiang is supported by NSF-DMS on imaging, phase field related projects; he wrote a paper on image segmentation and he also finished several papers on cell membrane computation that appeared in Journal of Computational Physics, Nonlinearity, CPAA, SIAM J. Applied Math; his art-work can be found in our picture gallery. Together with Chun, we also found a very neat generalization of the Euler-Poincare index for membranes using the phase field model (to appear in SIAM Appl Math). Xiaoqiang's work on clustering has been presented at 2004 SIAM meeting on data mining (he went the Disney world resort in April!). Another work has been presented at IEEE Visualization 2004 conference (yes, he went to Austin also in 2004). He also presented his work on cell membranes at the AMS sectional meeting in Pittsburgh and SIAM annual meeting in New Orleans in 2005. After working as an IMA industrial post-doc in 2006, he is now at the school of computational sciences at FSU as a tenure track faculty in fall of 2006.
  • Wenxiang Zhu: Wenxiang was a post-doc supported in part by NSF-ITR, he worked on the phase field simulations and on some mathematical control problems and their approximations, he helped speeding up the phase field computations and finished a couple of paper on ETD schemes; he attended the 2004 TMS annual conference to present the team work. Wenxiang is now a tenure track faculty at Idaho State Univ
  • Peng Yu: Peng came to join us after getting his doctoral degree from Carnegie Mellon; he has been a Chowla research assistant professor, supported partly by the department endowment and partly by the NSF-ITR, he worked on phase field simulations and complex fluids; he wrote several nice papers on anisotropic mobility formulation and on moment closure for the FENE model of polymeric fluid, he also spoke at the AMS Tallahassee and Pittsburgh meetings to talk about the latest work. He also helped implementing moving mesh methods into the phase field modeling. He made a lot of contributions to our team. He got a tenure track assistant professor offer from Ohio State in 2005, but he was also recruited by a big investment firm from Wall St (a computational mathematician with good modeling and simulation skills can go a long way!)
  • Liyong Zhu: Liyong got his Ph.D from the Academy of Mathematical and System Sciences, Chinese Academy of Sciences. He studied the error analysis of mixed finite element methods for the phase field models of biological vesicles and also relations between quality of grids and efficiency of solvers.
  • Jiakou Wang worked on an interdisciplinary research project with a bioengineering group. It involved mathematical modeling, analysis and simulations of problems related to tumor metastasis. His efforts were on the cell aggregations and numerical simulations. One of his paper apeared in Mathematical Biosciences and Engineering. He developed a beautiful framework to explore the relation between stochastic and determinstic modeling. His expertise on stochastic analysis got him a big offer from a leading financial investment firm. He is the receipient of the Pritchard Fellowship in 2007.
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  • Former MS students: Anthony Faulds, Bo Yu, Gregory Kidzie, Tony Wong, Tianyu Zhang,...
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  • ...more links to be added, stay tuned...
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