Home >

## Refereed Papers:

1. N. Chuenjarern and Y. Yang, Fourier analysis of local discontinuous Galerkin methods for linear parabolic equations on overlapping meshes, Journal of Scientific Computing, 81 (2019), pp.671-688.
2. J. Du and Y. Yang, Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations, Journal of Computational Physics, v395 (2019), pp.489-510.
3. J. Du, Y. Yang and E. Chung, Stability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes, BIT Numerical Mathematics, 59 (2019), pp.853-876.
4. Z. Xu, Y. Yang and H. Guo, High-Order bound-preserving discontinuous Galerkin methods for wormhole propagation on triangular meshes, Journal of Computational Physics, v390 (2019), pp.323-341.
5. J. Du, C. Wang, C, Qian and Y. Yang, High-order bound-preserving discontinuous Galerkin methods for stiff multispecies detonation, SIAM Journal on Scientific Computing, v41 (2019), pp.B250-B273.
6. N. Chuenjarern, Z. Xu and Y. Yang, High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes, Journal of Computational Physics, v378 (2019), pp.110-128.
7. J. Du and Y. Yang, Maximum-principle-preserving third-order local discontinuous Galerkin methods on overlapping meshes, Journal of computational physics, v377 (2019), pp.117-141.
8. H. Guo, L. Tian, Z. Xu, Y. Yang and N. Qi, High-order local discontinuous Galerkin method for simulating wormhole propagation, Journal of Computaitonal and Applied Mathematics, v350 (2019), pp.247-261.
9. L. Guo, X. Li and Y. Yang, Energy dissipative local discontinuous Galerkin methods for Keller-Segel chemotaxis model, Journal of Scientific Computing, v78 (2019), pp.1387-1404.
10. L. Guo, H. Li and Y. Yang, Interior estimates of semidiscrete finite element methods for parabolic problems with distributional data, Journal of Computational Mathematics, v37 (2019), pp.460-476.
11. W. Cao, C.-W. Shu, Y. Yang and Z. Zhang, Superconvergence of Discontinuous Galerkin method for nonlinear hyperbolic equations, SIAM Journal on Numerical Analysis, v56 (2018), pp.732-765.
12. 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.
13. 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.
14. 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.
15. 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.
16. 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.
17. 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.
18. 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.
19. 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.
20. 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.
21. 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.
22. 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.
23. 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.
24. X. Ji, J. Sun and Y. Yang, Optimal penalty parameter for C^0 IPDG., Applied Mathematics Letters, v37 (2014), pp.112-117.
25. 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.
26. 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.
27. 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.
28. 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).
29. 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.
30. 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.
31. 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. Z. Xu and Y. Yang, A discrete fracture model for single-phase flow on non-conforming meshes.
2. Y. Yang, X. Cai and J.-M. Qiu Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension.
3. H. Guo, X. Liu and Y. Yang High-order bound-preserving finite difference methods for miscible displacements in porous media.