Publication and Preprints

• Selected publication on Design and analysis of high order numerical methods
  • Convergence of Godunov-type schemes for scalar conservation laws under large time steps, J.-M. Qiu and C .-W. Shu, SIAM Journal on Numerical Analysis, v46 (2008), pp.2211-2237.

  • Convergence of high order finite volume weighted essentially non-oscillatory scheme and discontinuous Galerkin method for nonconvex conservation laws , J.-M. Qiu and C.-W. Shu, SIAM Journal on Scientific Computing, v31 (2008), pp. 584-607.

  • Integral Deferred Correction Methods constructed with High Order Runge-Kutta Integrators, A. Christlieb, B. Ong and J.-M. Qiu, Mathematics of Computation, v79 (2010), pp761-783.

  • Comments on high order integrators embedded within integral deferred correction methods, A. Christlieb, B. Ong and J.-M. Qiu, Communications of Applied and Computational Mathematics, v4 (2009), pp. 27–56.

  • A Conservative high order semi-Lagrangian WENO method for the Vlasov Equation, J.-M. Qiu and A. Christlieb, Journal of Computational Physics, v229(2010), pp. 1130-1149.

  • Semi-implicit integral deferred correction constructed with high order additive Runge-Kutta methods, A. Christlieb, M. Morton, B. Ong and J.-M. Qiu, Communications in Mathematical Sciences, to appear.

  • Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow, J.-M. Qiu and C.-W. Shu, Journal of Computational Physics, to appear.

  • Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation, J.-M. Qiu and C.-W. Shu, Communications in Computational Physics, to appear.

  • Adaptive Mesh Refinement Based on High order Finite Difference WENO Scheme for Multi-scale Simulations, C.-P. Shen, J.-M. Qiu and A. Christlieb, Journal of Computational Physics, to appear.

  • Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system, J.-M. Qiu and C.-W. Shu, submitted to Journal of Computational Physics.

• Applications in Astrophysics
  • A WENO algorithm for the radiative transfer and ionized sphere at reionization , J.-M. Qiu, C.-W. Shu, L.-L. Feng and L.-Z. Fang, New Astronomy, v12 (2006), pp.1-10.
    

  • A WENO algorithm of the temperature and ionization profiles around a point source , J.-M. Qiu, L.-L. Feng, C.-W. Shu and L.-Z. Fang, New Astronomy, v12(2007), pp.398-409.

  • 21 cm Signals from Early Ionizing Sources , J. Liu, J.-M. Qiu, L.-L. Feng, C.-W. Shu, L.-Z. Fang, The Astrophysical Journal, v663 (2007), pp.1-9.

  • A WENO algorithm for the growth of ionized regions at the reionization epoch , J.-M. Qiu, C.-W. Shu, J. -R. Liu and L.-Z. Fang, New Astronomy, v13 (2008), pp.1-11.

  • Time Evolution of Wouthuysen-Field coupling , I. Roy, W. Xu, J.-M. Qiu, C.-W. Shu and L.-Z. Fang, Astrophysical Journal, v694 (2009), pp. 1121-1130.

  • A WENO algorithm for radiative transfer with resonant scattering: the time scale of the Wouthuysen-Field Coupling , I. Roy, J.-M. Qiu, C.-W. Shu and L.-Z. Fang, New Astronomy, v14 (2009), pp 513-520.

  • Wouthuysen-Field Coupling in 21 cm Region Around High Redshift Sources , I. Roy, W. Xu, J.-M. Qiu, C.-W. Shu and L.-Z. Fang, The Astrophyiscal Journal, v703 (2009), pp 1992-2003.