
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.110.

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.398409.

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.19.

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.111.

Convergence of Godunovtype schemes for scalar conservation laws under large time steps, J.M. Qiu and C
.W. Shu, SIAM Journal on Numerical Analysis, v46 (2008), pp.22112237.

Convergence of high order finite volume weighted essentially nonoscillatory scheme and discontinuous Galerkin method for nonconvex conservation laws
, J.M. Qiu and C.W. Shu, SIAM Journal on Scientific Computing, v31 (2008), pp. 584607.

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. 2756.

Time Evolution of WouthuysenField coupling
, I. Roy, W. Xu, J.M. Qiu, C.W. Shu and L.Z. Fang,
Astrophysical Journal, v694 (2009), pp. 11211130.

A WENO algorithm for radiative transfer with resonant scattering: the time scale of the WouthuysenField Coupling
, I. Roy, J.M. Qiu, C.W. Shu and L.Z. Fang, New Astronomy, v14 (2009), pp 513520.

WouthuysenField 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 19922003.

Integral Deferred Correction Methods constructed with High Order RungeKutta Integrators,
A. Christlieb, B. Ong and J.M. Qiu, Mathematics of Computation, v79 (2010), pp761783.

A Conservative high order semiLagrangian WENO method for the Vlasov Equation,
J.M. Qiu and A. Christlieb, Journal of Computational Physics, v229(2010), pp. 11301149.

Semiimplicit integral deferred correction constructed with high order additive RungeKutta methods,
A. Christlieb, M. Morton, B. Ong and J.M. Qiu, Communications in Mathematical Sciences, 9, 2011, Pages 879902.

Conservative high order semiLagrangian finite difference WENO methods for advection in incompressible flow,
J.M. Qiu and C.W. Shu, Journal of Computational Physics, Volume 230, Issue 4, 20 February 2011, Pages 863889.

Conservative semiLagrangian finite difference WENO formulations with applications to the Vlasov equation,
J.M. Qiu and C.W. Shu, Communications in Computational Physics,
Vol. 10, No. 4, pp. 9791000, October 2011

Adaptive Mesh Refinement Based on High order Finite Difference WENO Scheme for Multiscale Simulations,
C.P. Shen, J.M. Qiu and A. Christlieb, Journal of Computational Physics,
Volume 230, Issue 10, 10 May 2011, Pages 37803802.

Positivity preserving semiLagrangian discontinuous Galerkin formulation:
theoretical analysis and application to the VlasovPoisson system, J.M. Qiu and C.W. Shu, Journal of Computational Physics,
Volume 230, Issue 23, 20 September 2011, Pages 83868409

Hybrid semiLagrangian finite elementfinite difference methods for the Vlasov equation, W. Guo and J.M. Qiu, Journal of Computational Physics, v234 (2013), Pages 108132.

Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigenstructure analysis based on Fourier approach
, W. Guo, X.H. Zhong and J.M. Qiu, Journal of Computational Physics, v235(2013), Pages 458485.

A parametrized maximum principle preserving flux limiter for finite difference RKWENO schemes with applications in incompressible flows,
T. Xiong, J.M. Qiu and Z. Xu, Journal of Computational Physics, v252(2013), Pages 310331.

A Conservative SemiLagrangian Discontinuous Galerkin Scheme on the CubedSphere,
W. Guo, R. Nair and J.M. Qiu, Monthly Weather Review, 142 (2014), Pages 457475.

A High Order Time Splitting Method Based on Integral Deferred Correction
for SemiLagrangian Vlasov Simulations,
A. Christlieb, W. Guo, M. Morton, J.M. Qiu, Journal of Computational Physics, Volume 267, 15 June 2014, Pages 7–27.

High Order Maximum Principle Preserving SemiLagrangian Finite Difference WENO schemes for the Vlasov Equation,
T. Xiong, J.M. Qiu, Z. Xu, A. Christlieb, Journal of Computational Physics, Volume 273, 15 September 2014, Pages 618–639.

Analysis of Asymptotic Preserving DGIMEX Schemes for Linear Kinetic Transport
Equations in a Diffusive Scaling,
J. Jang, F. Li, J.M. Qiu, T. Xiong, SIAM Numerical Analysis, v52 (2014), pp. 14972206.

RungeKutta Central Discontinuous Galerkin BGK Method for the NavierStokes Equations, T. Ren, J. Hu, T.Xiong and J.M. Qiu, Journal of Computational Physics, Volume 274, 1 October 2014, Pages 592–610.

RungeKutta Discontinuous Galerkin Method for Traffic Flow Model on Networks,
S. Canic, B. Piccoli, J.M. Qiu and T. Ren, Journal of Scientific Computing, 63, 2015, Pages 233255.

High Order Asymptotic Preserving Discontinuous Galerkin Schemes for
DiscreteVelocity Kinetic Equations in the Diffusive Scaling,
J. Jang, F. Li, J.M. Qiu, T. Xiong, Journal of Computational Physics, Volume 281, 15 January 2015, Pages 199–224.

A New LaxWendroff Discontinuous Galerkin Method with Superconvergence,
W. Guo, J.M. Qiu and J.X. Qiu, Journal of Scientific Computing, v65(2015) Pages 299326.

High Order Asymptotic Preserving Nodal Discontinuous Galerkin IMEX Schemes for the BGK Equation,
T. Xiong, J. Jang, F. Li and J.M. Qiu, Journal of Computational Physics, Volume 284, 1 March 2015, Pages 70–94.

High order maximum principle preserving discontinuous Galerkin method for
convectiondiffusion equations,
T. Xiong, J.M. Qiu and Z. Xu, SIAM Journal on Scientific Computing, 37(2), 2015, Pages 583608.

Error Estimate of Integral Deferred Correction Implicit RungeKutta method for Stiff Problems,
S. Boscarino, J.M. Qiu, Mathematical Modelling and Numerical Analysis, v50(4), 2016, pp.11371166.

Parametrized Positivity Preserving Flux Limiters for the High Order Finite
Difference WENO Scheme Solving Compressible Euler Equations,
T. Xiong, J.M. Qiu, Z. Xu, Journal of Scientific Computing, v67, 2016, pp 10661088.

High order maximum principle preserving finite volume method for convection
dominated problems,
P. Yang, T. Xiong, J.M. Qiu and Z. Xu, Journal of Scientific Computing, v67, 2016, pp 795820.

Notes on RKDG methods for shallowwater equations in canal networks,
M. Briani, B. Piccoli, J.M. Qiu, Journal of Scientific Computing, v68, 2016, pp 11011123.

A conservative semiLagrangian HWENO method for the Vlasov equation,
X. Cai, J. Qiu and J.M. Qiu, Journal of Computatinal Physics, v323, 2016, pp 95114.

An Adaptive WENO Collocation Method for Differential Equations with Random Coefficients,
W. Guo, G. Lin, A. Christlieb and J.M. Qiu, MDPI, Special Issue "New Trends in Applications of Orthogonal Polynomials and Special Functions", 2016.

An $h$adaptive RKDG method for the VlasovPoisson system, H. Zhu, J. Qiu and J.M. Qiu, Journal of Scientific Computing, v69 (2016), Pages 13461365.

High Order Mass Conservative SemiLagrangian Methods for Transport
Problems, J.M. Qiu, Handbook of Numerical Methods for Hyperbolic Problems: Part A, Chapter 14, Volume 17, 2016, Pages 353382.

Numerical methods for hyperbolic nets and networks, S. Canic, M.L. Delle Monache, B. Piccoli, J.M. Qiu and J. Tambaca, Handbook of Numerical Methods for Hyperbolic Problems, Chapter 16, Volume 18, 2017, Pages 435463.

A High Order MultiDimensional Characteristic Tracing Strategy for the VlasovPoisson System,
J.M. Qiu and G. Russo, Journal of Scientific Computing, v71, 2017, pp 414–434.

A Hierarchical Uniformly High Order DGIMEX Scheme for the 1D BGK Equation,
T. Xiong and J.M. Qiu, Journal of Computational Physics, v336 (2017), Page
s 164191.

Finite volume HWENO schemes for nonconvex conservation laws,
X. Cai, J. Qiu and J.M. Qiu, Journal of Scientific Computing, v75 (2018), Pages 6582.

A high order conservative semiLagrangian discontinuous Galerkin method for twodimensional transport simulations, X. Cai, W. Guo and J.M. Qiu, Journal of Scientific Computing, SI: high order methods, in honor of professor Shu's 60th birthday, v73 (2017), Pages 514542.

An hadaptive RKDG method for the twodimensional incompressible Euler
equations and the guiding center Vlasov model, H. Zhu, J. Qiu and J.M. Qiu, Journal of Scientific Computing, SI: high order methods, in honor of professor Shu's 60th birthday, v73 (2017), Pages 13161337.

ImplicitExplicit Integral Deferred Correction Methods for Stiff Problems, B. Sebastiano, J.M. Qiu and G. Russo, SIAM Journal on Scientific Computing, v40 (2018), Pages A787A816.

A high order semiLagrangian discontinuous Galerkin method for VlasovPoisson simulations without operator splitting, X. Cai, W. Guo and J.M. Qiu, Journal of Computational Physics, v354 (2018), Pages 529551.

High Order Multidimensional Characteristics Tracing for the Incompressible Euler Equation and the Guidingcenter Vlasov Equation, T. Xiong, G. Russo and J.M. Qiu, Journal of Scientific Computing, accepted.

A high order semiLagrangian discontinuous Galerkin method for the twodimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting, X. Cai, W. Guo and J.M. Qiu, Journal of Computational Physics, submitted.
Please send email to jingqiu@udel.edu for preprints.