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Wai-Sun Don
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2020 – today
- 2024
- [j34]Chenguang Liu, Jie Sun, Hao Tian, Wai Sun Don, Lili Ju:
A high-order multi-time-step scheme for bond-based peridynamics. J. Comput. Appl. Math. 449: 115968 (2024) - [i2]Chenguang Liu, Jie Sun, Hao Tian, Wai-Sun Don, Lili Ju:
A high-order multi-time-step scheme for bond-based peridynamics. CoRR abs/2401.04966 (2024) - 2023
- [j33]Peng Li, Tingting Li, Wai-Sun Don
, Bao-Shan Wang
:
Scale-Invariant Multi-resolution Alternative WENO Scheme for the Euler Equations. J. Sci. Comput. 94(1): 15 (2023) - [i1]Chenguang Liu, Hao Tian, Wai-Sun Don
, Hong Wang:
A fast computational framework for the linear bond-based peridynamic model. CoRR abs/2301.11828 (2023) - 2022
- [j32]Wai Sun Don
, Run Li, Bao-Shan Wang
, Yinghua Wang:
A novel and robust scale-invariant WENO scheme for hyperbolic conservation laws. J. Comput. Phys. 448: 110724 (2022) - [j31]Yinghua Wang, Bao-Shan Wang
, Leevan Ling, Wai Sun Don
:
A Time-Continuous Embedding Method for Scalar Hyperbolic Conservation Laws on Manifolds. J. Sci. Comput. 93(3): 84 (2022) - 2021
- [j30]Peng Li, Bao-Shan Wang
, Wai-Sun Don
:
Sensitivity Parameter-Independent Characteristic-Wise Well-Balanced Finite Volume WENO Scheme for the Euler Equations Under Gravitational Fields. J. Sci. Comput. 88(2): 47 (2021) - 2020
- [j29]Wai Sun Don
, Dong-Mei Li, Zhen Gao, Bao-Shan 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) - [j28]Xiao Wen, Wai Sun Don
, Zhen Gao, Jan 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) - [j27]Xiao Wen, Wai Sun Don
, Zhen Gao, Yulong Xing
:
Entropy Stable and Well-Balanced Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations. J. Sci. Comput. 83(3): 66 (2020) - [j26]Bao-Shan Wang
, Wai Sun Don
, Naveen Kumar Garg
, Alexander 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)
2010 – 2019
- 2019
- [j25]Yinghua Wang, Bao-Shan Wang
, Wai Sun Don
:
Generalized Sensitivity Parameter Free Fifth Order WENO Finite Difference Scheme with Z-Type Weights. J. Sci. Comput. 81(3): 1329-1358 (2019) - 2018
- [j24]Bao-Shan Wang
, Peng Li, Zhen Gao, Wai Sun Don
:
An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws. J. Comput. Phys. 374: 469-477 (2018) - [j23]Peng Li, Wai-Sun Don
, Cheng Wang, Zhen 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) - [j22]Wai Sun Don
, Bao-Shan Wang
, Zhen 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) - [j21]B. W. Wissink, Gustaaf B. Jacobs, Jennifer K. Ryan
, Wai-Sun 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) - [j20]Bao-Shan Wang
, Wai-Sun 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) - 2017
- [j19]Arnab Chaudhuri
, Gustaaf B. Jacobs, Wai-Sun Don
, H. Abbassi, Farzad Mashayek:
Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows. J. Comput. Phys. 332: 99-117 (2017) - [j18]Zhen Gao, Xiao Wen, Wai Sun Don
:
Enhanced Robustness of the Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws with Multi-resolution Analysis and Tukey's Boxplot Method. J. Sci. Comput. 73(2-3): 736-752 (2017) - 2016
- [j17]Wai-Sun Don
, Zhen Gao, Peng Li, Xiao Wen:
Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 38(2) (2016) - 2015
- [j16]Feilin Jia
, Zhen Gao, Wai-Sun Don
:
A Spectral Study on the Dissipation and Dispersion of the WENO Schemes. J. Sci. Comput. 63(1): 49-77 (2015) - [j15]Peng Li, Zhen Gao, Wai-Sun Don
, Shusen Xie:
Hybrid Fourier-Continuation Method and Weighted Essentially Non-oscillatory Finite Difference Scheme for Hyperbolic Conservation Laws in a Single-Domain Framework. J. Sci. Comput. 64(3): 670-695 (2015) - 2014
- [j14]Jean-Piero Suarez, Gustaaf B. Jacobs, Wai-Sun Don
:
A High-Order Dirac-Delta Regularization with Optimal Scaling in the Spectral Solution of One-Dimensional Singular Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 36(4) (2014) - 2013
- [j13]Wai-Sun Don
, Rafael Borges
:
Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes. J. Comput. Phys. 250: 347-372 (2013) - [j12]Zhen Gao, Wai Sun Don
:
Mapped Hybrid Central-WENO Finite Difference Scheme for Detonation Waves Simulations. J. Sci. Comput. 55(2): 351-371 (2013) - 2012
- [j11]Zhen Gao, Wai Sun Don
, Zhiqiu Li:
High Order Weighted Essentially Non-oscillation Schemes for Two-Dimensional Detonation Wave Simulations. J. Sci. Comput. 53(1): 80-101 (2012) - 2011
- [j10]Marcos Castro, Bruno Costa, Wai Sun Don
:
High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws. J. Comput. Phys. 230(5): 1766-1792 (2011)
2000 – 2009
- 2009
- [j9]Gustaaf B. Jacobs, Wai-Sun Don
:
A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks. J. Comput. Phys. 228(5): 1365-1379 (2009) - 2008
- [j8]Rafael Borges
, Monique Carmona, Bruno Costa, Wai Sun Don
:
An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. J. Comput. Phys. 227(6): 3191-3211 (2008) - 2007
- [j7]Marco Latini, Oleg Schilling
, Wai Sun Don
:
Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer-Meshkov instability. J. Comput. Phys. 221(2): 805-836 (2007) - [j6]Bruno Costa, Wai Sun Don
:
Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws. J. Comput. Phys. 224(2): 970-991 (2007) - [j5]M. S. Min, S. M. Kaber, Wai-Sun Don
:
Fourier-Padé approximations and filtering for spectral simulations of an incompressible Boussinesq convection problem. Math. Comput. 76(259): 1275-1290 (2007) - 2005
- [j4]Chi-Wang Shu
, Wai-Sun Don
, David I. Gottlieb, Oleg Schilling
, Leland Jameson:
Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow. J. Sci. Comput. 24(1): 1-27 (2005)
1990 – 1999
- 1997
- [j3]Wai Sun Don
, Alex Solomonoff:
Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique. SIAM J. Sci. Comput. 18(4): 1040-1055 (1997) - 1995
- [j2]Mark H. Carpenter, David I. Gottlieb, Saul Abarbanel, Wai-Sun Don:
The Theoretical Accuracy of Runge-Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error. SIAM J. Sci. Comput. 16(6): 1241-1252 (1995) - [j1]Wai Sun Don, Alex Solomonoff:
Accuracy and Speed in Computing the Chebyshev Collocation Derivative. SIAM J. Sci. Comput. 16(6): 1253-1268 (1995)
Coauthor Index
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