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publications

Refereed Papers:

  1. W. Cao, C.-W. Shu, Y. Yang and Z. Zhang, Superconvergence of Discontinuous Galerkin method for nonlinear hyperbolic equations, SIAM Journal on Numerical Analysis, accepted.
  2. F. Yu, H. Guo, N. Chuenjarern and Y. Yang, Conservative local discontinuous Galerkin method for compressible miscible displacements in porous media, Journal of Scientific Computing, v73 (2017), pp.1249-1275. Special Issue in Honor of Professor Chi-Wang Shu.
  3. H. Guo and Y. Yang, Bound-preserving discontinuous Galerkin method for compressible miscible displacement problem in porous media, SIAM Journal on Scientific Computing, v39 (2017), pp.A1969-A1990.
  4. L. Guo and Y. Yang, Superconvergence of discontinuous Galerkin methods for hyperbolic equations with singular initial data, International Journal of Numerical Analysis and Modeling, v14 (2017), pp.342-354.
  5. X. Li, C.-W. Shu and Y. Yang, Local discontinuous Galerkin method for the Keller-Segel chemotaxis model, Journal of Scientific Computing, v73 (2017), pp.943-967. Special Issue in Honor of Professor Chi-Wang Shu.
  6. H. Guo, F. Yu and Y. Yang, Local discontinuous Galerkin method for incompressible miscible displacement problem in porous media, Journal of Scientific Computing, v71 (2017), pp.615-633.
  7. W. Cao, D. Li, Y. Yang and Z. Zhang, Superconvergence of discontinuous Galerkin methods based on upwind-biased fluxes for 1D linear hyperbolic equations, ESAIM: Mathematical Modelling and Numerical Analysis, v51 (2017), pp.467-486.
  8. T. Qin, C.-W. Shu and Y. Yang, Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics, Journal of Computational Physics, v315 (2016), pp.323-347.
  9. W. Cao, C.-W. Shu, Y. Yang and Z. Zhang, Superconvergence of discontinuous Galerkin methods for two dimensional hyperbolic equations, SIAM Journal on Numerical Analysis, v53 (2015), pp.1651-1671.
  10. L. Guo and Y. Yang, Positivity-preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions, Journal of Computational Physics, v289 (2015), pp.181-195.
  11. Y. Yang and C.-W. Shu, Analysis of optimal superconvergence of local discontinuous Galerkin method for one-dimensional linear parabolic equations, Journal of Computational Mathematics, v33 (2015), pp.323-340.
  12. X. Meng, C.-W. Shu and Y. Yang, Superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations, Scientia Sinica Mathematica, v45 (2015), pp.1041-1060.
  13. X. Zhao, Y. Yang and C. Seyler, A positivity-preserving semi-implicit discontinuous Galerkin scheme for solving extended magnetohydrodynamics equations, Journal of Computational Physics, v278 (2014), pp.400-415.
  14. X. Ji, J. Sun and Y. Yang, Optimal penalty parameter for C^0 IPDG., Applied Mathematics Letters, v37 (2014), pp.112-117.
  15. J. Niu, L. Zheng, Y. Yang and C.-W. Shu, Chebyshev spectral method for unsteady axisymmetric mixed convection heat transfer of power law fluid over a cylinder with variable transport properties, International Journal of Numerical Analysis and Modeling, v11 (2014), pp.525-540.
  16. H. Guo, Q. Zhang and Y. Yang, A combined mixed finite element method and local discontinuous Galerkin method for miscible displacement problem in porous media, Science China Mathematics, v57 (2014), pp.2301-2320.
  17. Y. Yang, D. Wei and C.-W. Shu, Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations, Journal of Computational Physics, v252 (2013), pp.109-127.
  18. Y. Yang, I. Roy, C.-W. Shu and L.-Z. Fang, Angular distribution of Ly$\alpha$ resonant photons emergent from optically thick medium, The Astrophysical Journal, v772 (2013), 3(10pp).
  19. Y. Yang and C.-W. Shu, Discontinuous Galerkin method for hyperbolic equations involving $\delta$-singularities: negative-order norm error estimates and applications, Numerische Mathematik, v124 (2013), pp.753-781.
  20. Y. Yang and C.-W. Shu, Analysis of optimal superconvergence of discontinuous Galerkin method for linear hyperbolic equations, SIAM Journal on Numerical Analysis, v50 (2012), pp.3110-3133.
  21. Y. Yang, I. Roy, C.-W. Shu and L.-Z. Fang, Effect of dust on Lyman-alpha photon transfer in optically thick halo, The Astrophysical Journal, v739 (2011), 91(11pp).

Preprints:

  1. L. Guo, H. Li and Y. Yang, Interior estimates of semidiscrete finite element methods for parabolic problems with distributional data.
  2. L. Guo, X. Li and Y. Yang, Energy dissipative local discontinuous Galerkin methods for Keller-Segel chemotaxis model.