Home » Publications » 2018-2022
- C. Zhang, Z. Gao, S. Ye, P. Li,
Edge detectors based on PauTa criterion with application to hybrid compact-WENO finite difference scheme,
Adv. Appl. Math. Mech., 2021.
- H. Liu, X. Zheng, H. Fu,
Analysis of a multi-term variable-order time-fractional diffusion equation and its Galerkin finite element approximation,
J. Comput. Math., 2021, in Press.
- B.-S. Wang, W.S. Don, A. Kurganov, Y. Liu,
Fifth-Order A-WENO Finite-Difference Schemes Based on the Central-Upwind Rankine-Hugoniot Fluxes,
Commun. Appl. Math. Comput., 2021, Accepted.
- C. Zhu, B. Zhang, J. Liu, H. Fu,
Efficient second-order ADI difference method for three-dimensional Riesz space-fractional diffusion equations,
Comput. Math. Appl., 98, 24-39, 2021.
- Y. Gu, Z. Gao, G. Hu, P. Li, L. Wang,
High Order Finite Difference Alternative WENO Scheme for Multi-component Flows,
J. Sci. Comput., 89(3), 52, 2021.
- Y. Gu, F. Kwok,
On the Choice of Robin Parameters for the Optimized Schwarz Method for Domains with Non-Conforming Heterogeneities,
J. Sci. Comput., 89(1), 5, 2021.
- H. Fu, C. Zhu, X. Liang, B. Zhang,
Efficient spatial second/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations,
Adv. Comput. Math., 47, 58, 2021.
- P. Li, B.-S. Wang, W.S. Don,
Sensitivity parameter-independence well-balanced finite volume WENO scheme for the Euler equations under gravitational fields,
J. Sci. Comput., 88(2), 47, 2021.
- Y. Gu, Z. Gao, G. Hu, P. Li, L. Wang,
A Robust High Order Alternative WENO Scheme for the Five-Equation Model,
J. Sci. Comput., 88(1), 12, 2021.
- H. Zhu, H. Wang, Z. Gao,
A New Troubled-Cell Indicator for Discontinuous Galerkin Methods Using K-Means Clustering,
SIAM J. Sci. Comput., 43(4), A3009-A3031, 2021.
- F. Li, H. Fu, J. Liu,
An efficient quadratic finite volume method for variable coefficient Riesz space-fractional diffusion equations,
Math. Meth. Appl. Sci., 44(4), 2934-2951, 2021.
- H. Liu, X. Zheng, H. Fu, H. Wang,
Analysis and efficient implementation of ADI finite volume method for Riesz space-fractional diffusion equations in two space dimensions,
Numer. Meth. Part. Diff. Equat., 37, 818-835, 2021.
- X. Zheng, H. Wang, H. Fu,
Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions,
Appl. Numer. Math., 161, 1-12, 2021.
- J. Liu, C. Zhu, Y. Chen, H. Fu, A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations,
Appl. Numer. Math., 160, 331-348, 2021.
- Y. Shi, S.S. Xie, D. Liang, K. Fu,
High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems,
J. Sci. Comput., 87(3), 86, 2021.
- Z. Gao, Q. Liu, J. S. Hesthaven, B.-S. Wang, W.S. Don, X. Wen,
Non-intrusive reduced order modeling of convection dominated flows using artificial neural networks with application to Rayleigh-Taylor instability,
Commun. Computat. Phys., 30(1), 97-123, 2021.
- P. Li, Z. Gao,
Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields,
J. Comput. Phys., 437, 110341, 2021.
- B.-S. Wang, W.S. Don, N.K. Garg, A. Kurganov, Fifth-Order A-WENO Finite Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux, SIAM J. Sci. Comput., 42(6), A3932-A3956, 2020.
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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.
- 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.
- 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.
- 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.
- 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.
- 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.
- X. Zheng, H. Wang, H. Fu,
Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative,
Chaos Sol. Fract., 138, 109966, 2020.
- J. Liu, X. Chai, H. Fu, H. Wang,
A preconditioned fast quadratic spline collocation method for two-sided space-fractional partial differential equations,
J. Comput. Appl. Math., 360, 138-156, 2019.
- 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
- H. Fu, H. Wang,
A preconditioned fast parareal finite difference method for space-time fractional partial differential equation,
J. Sci. Comput., 78(3), 1724-1743, 2019.
- H. Fu, H. Liu, H. Wang,
A finite volume method for two- dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation,
J. Comput. Phys., 388, 316-334, 2019.
- H. Fu, Y. Sun, H. Wang, X. Zheng,
Stability and convergence of a Crank-Nicolson finite volume method for space fractional diffusion equation,
Appl. Numer. Math., 139, 38-51, 2019.
- 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
- 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
- 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
- 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
- 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.
- 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
- 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
- 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