Research Activities

  1. Stochastic dynamical systems & stochastic partial differential equations
  2. Numerical methods for nonlocal PDEs, computational fluid dynamics, computational materials science, computational acoustics, boundary elements method
  3. Numerical methods for non-equilibrium systems, interfacial instabilities, morphologies, pattern formation, crystal growth and nanostructure patterning in thin films
  4. Computational & stochastic modeling for geophysical systems and biophysical systems
  5. Nonlinear dynamical systems and applications
  6. Data assimilation and predicting dynamical behaviors


Research Funding

  1. NSF/CBMS Regional Conference in the Mathematical Sciences (Supported by NSF) Nonlocal Dynamics: Theory, Computation and Applications, Jinqiao Duan & Xiaofan Li, 2016--2018
  2. NSF NSF-DMS 1620449 "Theoretical and Numerical Studies of Nonlocal Equations Derived from Stochastic Differential Equations with Levy Noises". Xiaofan Li & Jinqiao Duan, 2016--2019.


Publications

  1. An Introduction to Stochastic Dynamics, Cambridge University Press, 2015.
  2. Effective Dynamics of Stochastic Partial Differential Equations (with Wei Wang), Elsevier, 2014.
  3. Restoration of rhythmicity in diffusively coupled dynamical networks ,(with W. Zou, D. V. Senthilkumar, R. Nagao, I. Z. Kiss, Y. Tang, A. Koseska and J. Kurths)Nature Communications, July 15, 2015. DOI: 10.1038/ncomms8709.
  4. Nonlocal PDEs Non-Gaussian Stochastic Dynamics Institute for Pure and Applied Mathematics,
  5. ,


Visiting Professors

  1. Professor Ludiwg Arnold, Bremen University, Germany
  2. Professor Bjorn Schmalfuss, Jena University, Germany
  3. Professor Wei Yan, Henan Normal University, China
  4. Professor Hongjun Gao, Nanjing Normal University, China


Graduate Students

  1. Zhuan Cheng, PHD candidate, Illinois Institute of Technology, Email: zcheng9@hawk.iit.edu
  2. Hansen Ha, PhD candidate, Illinois Institute of Technology, Email: hha3@hawk.iit.edu
  3. Senbao Jiang, PhD candidate, Illinois Institute of Technology


Postdocs


Computing Resources

  • PCs and Sun Workstations are available in this Laboratory and in other university computer laboratories
  • Beowulf Linux Cluster "Menger" is a computer cluster consisting of one master node and eight slave nodes. Each node is equipped with dual 1.7 GHz Pentium 4 Xeon processors and 2GB RDRAM. All nodes are connected to each other via fast ehternet switch.