Home » Publications » 2018-2020
  1. X. Wen, W.S. Don, Z. Gao, Y. Xing, Entropy Stable and Well-Balanced Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations, J. Sci. Comput., 83(3), 66, 2020.
  2. X. Wen, W.S. Don, Z. Gao, J. S. Hesthaven, An edge detector based on artificial neural network with application to hybrid Compact-WENO finite difference scheme, J. Sci. Comput., 83(3), 49, 2020.
  3. P. Li, X.Q. Zhao, Z. Gao, B.-S. Wang, High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws, Adv. Appl. Math. Mech., 12(4), 972-991, 2020.
  4. Z. Gao, L.-L. Fang, B.-S. Wang, Y.H. Wang, W.S. Don, Seventh and ninth orders alternative WENO finite difference schemes for hyperbolic conservation laws, Comput. Fluids, 202, 104519, 2020.
  5. P. Li, W.S. Don, Z. Gao, High Order Well-Balanced Finite Difference WENO Interpolation-Based Schemes for Shallow Water Equations, Comput. Fluids, 201, 104476, 2020.
  6. W.S. Don, D.M. Li, Z. Gao, B.-S. Wang, A characteristic-wise alternative WENO-Z finite difference scheme for solving the compressible multicomponent non-reactive flows in the overestimated quasi-conservative form, J. Sci. Comput., 82(2), 27, 2020.
  7. Y.H. Wang, B.-S. Wang, W.S. Don, Generalized Fifth Order WENO Finite Difference Scheme with Z-Type Weights, J. Sci. Comput. 81(3), 1329-1358, 2019
  8. B.W. Wissink, G.B. Jacobs, J.K. Ryan, W.S. Don, E.T.A. van der Weide, Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels, J. Sci. Comput. 77(1), 579-596, 2018
  9. W.S. Don, P. Li, K.Y. Wang, Z. Gao, Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Scheme for Hyperbolic Conservation Laws, Adv. Appl. Math. Mech. 10(6), 1418-1439, 2018
  10. P. Li, Z. Gao, W.S. Don, Hybrid Fourier-Continuation Method and WENO-Z Finite Difference Scheme for Multi-Dimensional Detonation Structure Simulations, Pure Appl. Math. Q. 14(1), 27-55, 2018
  11. B.-S. Wang, W.S. Don, Z. Gao, Y.H. Wang, X. Wen, Hybrid compact-WENO finite difference scheme with radial basis function based shock detection method for hyperbolic conservation laws, SIAM J. Sci. Comput.40(6), A3699-A3714, 2018
  12. B.-S. Wang, P. Li, Z. Gao, W.S. Don, An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws, J. Comput. Phys. 374: 469- 477, 2018.
  13. W.S. Don, B.-S. Wang, Z. Gao, Fast Iterative Adaptive Multi-quadric Radial Basis Function Method for Edges Detection of Piecewise Functions---I: Uniform Mesh, J. Sci. Comput. 75(2), 1016-1039, 2018
  14. P. Li, W.S. Don, C. Wang, Z. Gao, High order positivity- and bound-preserving hybrid Compact-WENO finite difference scheme for the compressible Euler equations, J. Sci. Comput. 74(2), 640-666, 2018
  15. Z. Gao, G.H. Hu, High order well-balanced weighted compact nonlinear schemes for the gas dynamic equations under gravitational fields, E. Asian J. Appl. Math., 7, 697-713, 2018