Please send email to firstname.lastname@example.org for 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.