Current Graduate Students:

  • Ms Xuping Tian Research area: Deep learning and optimizaiton. E-mail: xupingt at
  • Mr. Manas Bhatnagar, Research area: Critical regularity and thresholds. E-mail: manasb at
  • Mr. Wumaier Maimaitiyiming, Research area: High order numerical methods for nonlinear PDEs. E-mail: wumaierm at


Former Members:

Graduate students:

  • Peimeng Yin (PhD, 2019) Post-doc at Wayne State University, Fall 2019--.
    Thesis: Effifficient discontinuous Galerkin (DG) methods for time–dependent fourth order problems

  • Yi Jiang (PhD, 2018) Tenure Track Faculty at Southern Illinois University Edwardsville (SIUE), Fall 2019--Thesis: Invariant-Region-Preserving DG methods for conservation law systems.

  • Tylor Chenhall (MS, 2015--2016) Google Inv. July 2016--
    Thesis: On the Doi-Onsager Model of Rigid Rod-Like Polymers

  • Yongki Lee (PhD, 2009--2014) Post-doc at UC Riverside, 2014-2017; Tenure Track Assistant Professor at Southern Georgia University, 2017--present.
    Thesis: Threshold dynamics in hyperbolic partial differential equations

  • Nattapol Ploymaklam (Ph.D, 2008--2014) Tenure Track Assistant Professor at Chiang Mai University, Thailand, 2014--present.
    Thesis: Numerical superposition of Gaussian beams over propagating domain for high frequency waves and high-order invariant-preserving methods for dispersive waves

  • Diana Hay (M.S., 2010-2013)  Software engineer, Des Moines, Iowa, USA.
    Thesis: On the spectrum of discontinuous Galerkin methods for linear convection-diffusion equations

  • Wenli Cai (PhD, 2013-2014), visiting PhD students from Tsinghua University, Beijing.
    Tenure Track Assistant Professor at China University of Mining and Technology, Beijing, Fall 2015-- present.
    Thesis: Numerical Methods of Solutions for Two Kinds of Nonlocal Partial Differential Equations in Biological Evolution Model

  • Wenying Lu (Ph.D, 2014) Xiantan University, co-advisor with Prof. Yunqing Huang
    Thesis: Direct discontinuous Galerkin methods for Schroedinger equations

  • Linrui Qian (M.S., 2014) Xiantan University
    Thesis: Alternating Evolution Methods for Static Hamilton-Jacobi Equations

  • Maksym Pryporov (Ph.D. 2008-2013): Post-doc at Iowa State University, 2013-2014.
    Assistant Professor at University of Denver,
    2014--2017. Engineer at OXY (Occidental Petroleum) inc. 2017--
    Thesis: Gaussina Beam Methods for the Schroedinger equation with periodic potentials and strictly symmetric hyperbolic systems

  • Hui Yu (Ph.D. 2008--2013): Post-doc at University of Toulouse and Imperial College, Sept. 2013- Sept. 2015; IGPM at RWTH Aachen University, Germany, Oct. 2015--August 2017; Tenure Track Assistant Professor at Tsinghua University, Beijing, Sept. 2017--present.
    Thesis: Entropy Satisfying and Maximum Principle Satisfying Methods for Fokker-Planck Equations

  • Xiaoliang Xie ( Ph.D 2008) : Univ. Chicago (2008--2009)
    Thesis: Large time stepping methods for higher order time-dependent evolution equations.

  • Haseena Amhed (Ph.D 2008) : Bay area in California (2008--).
    Thesis: High resolution alternating evolution schemes for hyperbolic conservation laws and Hamilton-Jacobi equations

  • Zhongming Wang ( Ph.D 2008) : Post-Doc, UCSD(2008-2011); Tenure Track at Florida International Univ. Miami 2011--present.
    Thesis: Development of level set methods for computing the semiclassical limit of Schroedinger equations with potentials

  • Hung Phan ( M.S., 2006)

  • Eric Blabac ( M.S.,   2003-2005)

Post-docs and visitors:

  • Hairui Wen (Visitor, Sept 2015-- August 2016): Faculty at Beijing Institute of Technology

  • Nianyu Yi (Visitor, January - May 2016) ISU, now Faculty at Xiangtan University

  • Terrance Pendleton (post-doc, 2013-2016): Assistant Professor, Department of Mathematics and Computer Science, Drake University, Des Moines, IA 50311, 2016-- present.

  • Michael Polack (post-doc, 2011--2016)

  • Zheng Chen (2014-2015) ISU, then post-doc at Oak Ridge National Lab; Tenure track faculty at University of Massachusetts Dartmouth, 2018--.

  • Jing Wang (Post-doc, 2013-2014) Madison, Madison.

  • Nianyu Yu (Post-doc, Sept. 2011-- Feb. 2012) : Associate professor at Xiangtan University, Hunan, China.

  • Tae Gab Ha (2010-- 2011) Pusan National University, Pusan, Korea.

  • Jaemin Shin (Postdoc, 2008-2009) then IMA post-doc, 2010-2012. Faculty at Department of Mathematical Sciences and Institute for Applied Mathematics and Optics, Hanbat National University, Daejeon 34158, Korea. 2014--


Fall 2015

Spring 2015

Liu's Group Photo

Fall 2013


Spring 2012

Fall 2011




Last Revision: August 30, 2013.