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Liu Jie

Department of Mathematics

Dr. Liu Jie.png

Research Interest

Scientific Computation, Stochastic Analysis

Educational Background

  • PhD (Applied Mathematics and Scientific Computation), University of Maryland College Park, USA (2006)
  • BSc (Applied Mathematics), Tsinghua University, China (2000

Working Experience

  • Associate Professor, Xiamen University Malaysia, Malaysia (2017 to present).
  • Assistant Professor, National University of Singapore, Singapore (2009 to 2017).
  • Visiting Assistant Professor, University of California Irvine, USA (2006 to 2009).

Representative Publications

  • A second-order changing-connectivity ALE scheme and its application to FSI with large convection of fluids and near-contact of structures, Journal of Computational Physics, 304 (2016) 380–423.
  • Order of convergence of splitting schemes for both deterministic and stochastic nonlinear Schrodinger equations, SIAM Journal on Numerical Analysis, 51 (2013) 1911–1932.
  • Simple and efficient ALE methods with provable temporal accuracy up to fifth order for the Stokes equations on time varying domains, SIAM Journal on Numerical Analysis, 51 (2013) 743–772.
  • Open and traction boundary conditions for the incompressible Navier-Stokes equations, Journal of Computational Physics, 228 (2009) 7250–7267.
  • Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate, (with J.-G. Liu and R. L. Pego), Communications on Pure and Applied Mathematics, 60 (2007) 1443–1487.