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Refereed Papers:

  1. C. Wang, H. Guo, X. Yan, Z. Shi and Y. Yang, Improved physics-informed neural networks for the reinterpreted discrete fracture model, Journal of Computational Physics, accepted.
  2. X. Liu, T. Xiong and Y. Yang, A third order bound-preserving nodal discontinuous Galerkin method for miscible displacements in porous media, Communications in Computational Physics, accepted.
  3. Y. Kang, T. Xiong and Y. Yang, Oscillation-free implicit pressure explicit concentration discontinuous Galerkin methods for compressible miscible displacements with applications in viscous fingering, Journal of Computational Physics, v516(2024), 113348 (20pp).
  4. H. Ding, Y. Yang and X. Zhong, Numerical methods for reinterpreted discrete fracture models with random inputs, Journal of Computational and Applied Mathematics, v448 (2024) 115938 (17pp).
  5. F. Zhu, J. Huang and Y. Yang, Bound-preserving discontinuous Galerkin methods with modified Patankar time integrations for chemical reacting flows, Communications on Applied Mathematics and Computation, v6 (2024), pp.190-217. Special issue in memory of Prof. Ching-Shan Chou.
  6. X. Guo, H. Guo, L. Tian and Y. Yang, High-order bound-preserving local discontinuous Galerkin methods for incompressible two-phase flows in porous media, Journal of Scientific Computing, accepted.
  7. J. Du, Y. Yang and F. Zhu, Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation, Journal of Computational Physics, v505 (2024), 112877 (27pp).
  8. X. Liu, T. Xiong and Y. Yang, High order positivity-preserving nodal discontinuous Galerkin methods for anisotropic diffusion problems, Journal of Computational and Applied Mathematics, v440 (2024), 115627 (25pp).
  9. X. Wu, H. Guo, Z. Xu and Y. Yang, A reinterpreted discrete fracture model for Darcy-Forchheimer flow in fractured porous media, Advances in Water Resources, v179 (2023), 104504 (17pp).
  10. L. Tian, N. Chuenjarern, H. Guo and Y. Yang, Maximum-principle-preserving high-order discontinuous Galerkin methods for incompressible Euler equations on overlapping meshes, Journal of Computational and Applied Mathematics, v436 (2024), 115408 (18pp).
  11. J. Du, Y. Liu and Y. Yang, An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows, Journal of Scientific Computing, v95 (2023), 90 (28pp).
  12. Z. Xu and Y. Yang, The hybrid-dimensional Darcy's law: a non-conforming reinterpreted discrete fracture model (RDFM) for the compressible miscible displacement and multicomponent gas flow in fractured media, Paper presented at the SPE Reservoir Simulation Conference, (2023), SPE-212164-MS.
  13. J. Du and Y. Yang, High-order bound-preserving finite difference methods for multispecies and multireaction detonations, Communications on Applied Mathematics and Computation, v5 (2023), pp.31-63. Special issue on WENO methods.
  14. X. Guo, L. Tian, Y. Yang and H. Guo, Positivity-preserving local discontinuous Galerkin method for pattern formation dynamical model in polymerizing actin flocks, Journal of Computational Mathematics, v41 (2023), pp.579-598.
  15. G. Fu and Y. Yang, A hybridizable discontinuous Galerkin method on unfitted meshes for single-phase Darcy flow in fractured porous media, Advances in Water Resources, v173 (2023), 104390 (18pp).
  16. W. Feng, H. Guo, L. Tian and Y. Yang, Sign-preserving second-order IMPEC time discretization and its application in compressible miscible displacement with Darcy-Forchheimer models, Journal of Computational Physics, v474 (2023), 111775 (28pp).
  17. Z. Xu, Z. Huang and Y. Yang, The hybrid-dimensional Darcy's law: a non-conforming reinterpreted discrete fracture model (RDFM) for single-phase flow in fractured media, Journal of Computational Physics, v473 (2023), 111749 (25pp).
  18. X. Guo, L. Tian, Y. Yang and H. Guo, Positivity-preserving local discontinuous Galerkin method for pattern formation dynamical model in polymerizing actin flocks, Journal of Computational Mathematics, v41 (2023), pp. 623-642.
  19. J. Du and Y. Yang, High-order bound-preserving finite difference methods for multispecies and multireaction detonations, Communications on Applied Mathematics and Computation, v5 (2023), pp. 31–63. Special issue on WENO methods.
  20. J. Du and Y. Yang, High-order bound-preserving discontinuous Galerkin methods for multicomponent chemically reacting flows, Journal of Computational Physics, v469 (2022), 111548 (29pp).
  21. H. Guo, X. Liang and Y. Yang, Provable convergence of blow-up time of numerical approximations for a class of convection-diffusion equations, Journal of Computational Physics, v466 (2022), 111241 (21pp).
  22. W. Feng, H. Guo, Y. Kang and Y. Yang, Bound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements in porous media, Journal of Computational Physics, v463 (2022), 111240 (21pp).
  23. L. Tian, X. Guo, H. Guo, M. Jiang, Y. Yang and J. Zhang, A Local discontinuous Galerkin method for pattern formation dynamical model in polymerizing action flocks, Science China Mathematics, v65 (2022), pp.849-868.
  24. H. Guo, R. Jia, L. Tian and Y. Yang, Stability analysis and error estimates of fully-discrete local discontinuous Galerkin method for simulating wormhole propagation with Darcy-Forchheimer model, Journal of Computational and Applied Mathematics, v409 (2022), 114158 (25pp).
  25. G. Fu and Y. Yang, A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media, Advances in Water Resources, v161 (2022), 104129 (19pp).
  26. J. Du, E. Chung and Y. Yang, Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations, Communications on Applied Mathematics and Computation, v4 (2022), pp.353-379. Special issue on discontinuous Galerkin methods.
  27. X. Liu, Y. Yang and H. Guo, High-order bound-preserving finite difference methods for incompressible wormhole propagation, Journal of Scientific Computing, v89 (2021), 7 (23pp).
  28. R. Yang, Y. Yang and Y. Xing, High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction, Journal of Computational Physics, v444 (2021), 110543 (23pp).
  29. W. Feng, H. Guo, Z. Xu and Y. Yang, Conservative numerical methods for the reinterpreted discrete fracture model on non-conforming meshes and their applications in contaminant transportation in fractured porous media, Advances in Water Resources, v153 (2021), 103951 (16pp).
  30. X. Cai, J.-M. Qiu and Y. Yang, An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics, Journal of Computational Physics, v439 (2021), 110392 (21pp).
  31. H. Guo, R. Jia, L. Tian and Y. Yang, Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation, ESAIM: Mathematical Modelling and Numerical Analysis, v55 (2021), pp.1103-1131.
  32. N. Chuenjarern, K. Wuttanachamsri and Y. Yang, Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions, International Journal of Numerical Analysis and Modeling, v18 (2021), pp.788-810.
  33. J. Zhao, Q. Zhang, Y. Yang and Y. Xia, Energy preserving discontinuous Galerkin methods for the nonlinear Serre equations, Journal of Computational Physics, v421 (2020), 109729 (21pp).
  34. Z. Xu and Y. Yang, The hybrid dimensional representation of permeability tensor: A reinterpretation of the discrete fracture model and its extension on nonconforming meshes, Journal of Computational Physics, v415 (2020), 109523 (29pp).
  35. L. Tian, H. Guo, R. Jia and Y. Yang, An h-adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy-Forcheiner model, Journal of Scientific Computing, v83 (2020), 43 (26pp).
  36. 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, Mathematics of Computation, v89 (2020), pp.2113-2139.
  37. H. Guo, X. Liu and Y. Yang, High-order bound-preserving finite difference methods for miscible displacements in porous media, Journal of Computational Physics, v406 (2020), 109219 (24pp).
  38. N. Chuenjarern and Y. Yang, Fourier analysis of local discontinuous Galerkin methods for linear parabolic equations on overlapping meshes, Journal of Scientific Computing, v81 (2019), pp.671-688.
  39. 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.
  40. 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, v59 (2019), pp.853-876.
  41. 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.
  42. 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.
  43. 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.
  44. 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.
  45. 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.
  46. 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.
  47. 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.
  48. 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.
  49. 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.
  50. 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.
  51. 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.
  52. 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.
  53. 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.
  54. 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.
  55. 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.
  56. 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.
  57. 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.
  58. 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.
  59. 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.
  60. 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.
  61. X. Ji, J. Sun and Y. Yang, Optimal penalty parameter for C^0 IPDG., Applied Mathematics Letters, v37 (2014), pp.112-117.
  62. 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.
  63. 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.
  64. 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.
  65. 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).
  66. 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.
  67. 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.
  68. 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. J. Chen, J. Nakao, J.-M. Qiu and Y. Yang, A high-order Eulerain-Lagrangian Runge-Kutta finite volume method for scalar nonlinear conservation laws.
  2. Y. Yang, J. Chen and J.-M. Qiu, Stability analysis of the Eulerian-Lagrangian finite volume methods for nonlinear hyperbolic equations in one space dimension.
  3. L. Tian, Y. Xu, Y. Yang, J.J.W. Van der Vegt, An energy stable local discontinuous Galerkin method for the isothermal Navier-Stokes-Korteweg equations.
  4. X. Wu, H. Guo, Z. Xu, L. Tian and Y. Yang, A reinterpreted discrete fracture model for wormhole propagation in fractured porous media.