Publication and Preprints

  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

  7. 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.

  8. 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.

  9. 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.

  10. 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.

  11. 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.

  12. 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.

  13. 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, 9, 2011, Pages 879-902.

  14. 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, Volume 230, Issue 4, 20 February 2011, Pages 863-889.

  15. Conservative semi-Lagrangian 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. 979-1000, October 2011

  16. 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, Volume 230, Issue 10, 10 May 2011, Pages 3780-3802.

  17. Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system, J.-M. Qiu and C.-W. Shu, Journal of Computational Physics, Volume 230, Issue 23, 20 September 2011, Pages 8386-8409

  18. Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation, W. Guo and J.-M. Qiu, Journal of Computational Physics, v234 (2013), Pages 108-132.

  19. Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: eigen-structure analysis based on Fourier approach , W. Guo, X.-H. Zhong and J.-M. Qiu, Journal of Computational Physics, v235(2013), Pages 458-485.

  20. A parametrized maximum principle preserving flux limiter for finite difference RK-WENO schemes with applications in incompressible flows, T. Xiong, J.-M. Qiu and Z. Xu, Journal of Computational Physics, v252(2013), Pages 310-331.

  21. A Conservative Semi-Lagrangian Discontinuous Galerkin Scheme on the Cubed-Sphere, W. Guo, R. Nair and J.-M. Qiu, Monthly Weather Review, 142 (2014), Pages 457-475.

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

  23. High Order Maximum Principle Preserving Semi-Lagrangian 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.

  24. Analysis of Asymptotic Preserving DG-IMEX 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. 1497-2206.

  25. Runge-Kutta Central Discontinuous Galerkin BGK Method for the Navier-Stokes Equations, T. Ren, J. Hu, T.Xiong and J.-M. Qiu, Journal of Computational Physics, Volume 274, 1 October 2014, Pages 592–610.

  26. Runge-Kutta 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 233-255.

  27. High Order Asymptotic Preserving Discontinuous Galerkin Schemes for Discrete-Velocity 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.

  28. A New Lax-Wendroff Discontinuous Galerkin Method with Superconvergence, W. Guo, J.-M. Qiu and J.-X. Qiu, Journal of Scientific Computing, v65(2015) Pages 299-326.

  29. 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.

  30. High order maximum principle preserving discontinuous Galerkin method for convection-diffusion equations, T. Xiong, J.-M. Qiu and Z. Xu, SIAM Journal on Scientific Computing, 37(2), 2015, Pages 583-608.

  31. Error Estimate of Integral Deferred Correction Implicit Runge-Kutta method for Stiff Problems, S. Boscarino, J.-M. Qiu, Mathematical Modelling and Numerical Analysis, v50(4), 2016, pp.1137-1166.

  32. 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 1066-1088.

  33. 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 795-820.

  34. Notes on RKDG methods for shallow-water equations in canal networks, M. Briani, B. Piccoli, J.-M. Qiu, Journal of Scientific Computing, v68, 2016, pp 1101-1123.

  35. A conservative semi-Lagrangian HWENO method for the Vlasov equation, X. Cai, J. Qiu and J.-M. Qiu, Journal of Computatinal Physics, v323, 2016, pp 95-114.

  36. 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.

  37. An $h$-adaptive RKDG method for the Vlasov-Poisson system, H. Zhu, J. Qiu and J.-M. Qiu, Journal of Scientific Computing, v69 (2016), Pages 1346-1365.

  38. High Order Mass Conservative Semi-Lagrangian Methods for Transport Problems, J.-M. Qiu, Handbook of Numerical Methods for Hyperbolic Problems: Part A, Chapter 14, Volume 17, 2016, Pages 353-382.

  39. 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 435-463.

  40. A High Order Multi-Dimensional Characteristic Tracing Strategy for the Vlasov-Poisson System, J.-M. Qiu and G. Russo, Journal of Scientific Computing, v71, 2017, pp 414–434.

  41. A Hierarchical Uniformly High Order DG-IMEX Scheme for the 1D BGK Equation, T. Xiong and J.-M. Qiu, Journal of Computational Physics, v336 (2017), Page s 164--191.

  42. Finite volume HWENO schemes for nonconvex conservation laws, X. Cai, J. Qiu and J.-M. Qiu, Journal of Scientific Computing, v75 (2018), Pages 65-82.

  43. A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional 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 514-542.

  44. An h-adaptive RKDG method for the two-dimensional 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 1316-1337.
  45. Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems, B. Sebastiano, J.-M. Qiu and G. Russo, SIAM Journal on Scientific Computing, v40 (2018), Pages A787-A816.
  46. A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting, X. Cai, W. Guo and J.-M. Qiu, Journal of Computational Physics, v354 (2018), Pages 529-551.
  47. High Order Multi-dimensional Characteristics Tracing for the Incompressible Euler Equation and the Guiding-center Vlasov Equation, T. Xiong, G. Russo and J.-M. Qiu, Journal of Scientific Computing, accepted.
  48. A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional 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.