The Theoretical Accuracy of Runge-Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error. - Mark H. Carpenter; David I. Gottlieb; Saul Abarbanel; Wai-Sun Don (SIAM J. Sci. Comput., 1995)

Accuracy and Speed in Computing the Chebyshev Collocation Derivative. - Wai Sun Don; Alex Solomonoff (SIAM J. Sci. Comput., 1995)

Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique. - Wai Sun Don; Alex Solomonoff (SIAM J. Sci. Comput., 1997)

Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow. - Chi-Wang Shu; Wai-Sun Don; David I. Gottlieb; Oleg Schilling; Leland Jameson (J. Sci. Comput., 2005)

Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws. - Bruno Costa 002; Wai Sun Don (J. Comput. Phys., 2007)

Effects of WENO flux reconstruction order and spatial resolution on reshocked two-dimensional Richtmyer-Meshkov instability. - Marco Latini; Oleg Schilling; Wai Sun Don (J. Comput. Phys., 2007)

Fourier-Padé approximations and filtering for spectral simulations of an incompressible Boussinesq convection problem. - M. S. Min; S. M. Kaber; Wai-Sun Don (Math. Comput., 2007)

An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. - Rafael Borges; Monique Carmona; Bruno Costa 002; Wai Sun Don (J. Comput. Phys., 2008)

A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks. - Gustaaf B. Jacobs; Wai-Sun Don (J. Comput. Phys., 2009)

High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws. - Marcos Castro; Bruno Costa 002; Wai Sun Don (J. Comput. Phys., 2011)

High Order Weighted Essentially Non-oscillation Schemes for Two-Dimensional Detonation Wave Simulations. - Zhen Gao 002; Wai Sun Don; Zhiqiu Li (J. Sci. Comput., 2012)

Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes. - Wai-Sun Don; Rafael Borges (J. Comput. Phys., 2013)

Mapped Hybrid Central-WENO Finite Difference Scheme for Detonation Waves Simulations. - Zhen Gao 002; Wai Sun Don (J. Sci. Comput., 2013)

A High-Order Dirac-Delta Regularization with Optimal Scaling in the Spectral Solution of One-Dimensional Singular Hyperbolic Conservation Laws. - Jean-Piero Suarez; Gustaaf B. Jacobs; Wai-Sun Don (SIAM J. Sci. Comput., 2014)

A Spectral Study on the Dissipation and Dispersion of the WENO Schemes. - Feilin Jia; Zhen Gao 002; Wai-Sun Don (J. Sci. Comput., 2015)

Hybrid Fourier-Continuation Method and Weighted Essentially Non-oscillatory Finite Difference Scheme for Hyperbolic Conservation Laws in a Single-Domain Framework. - Peng Li; Zhen Gao 002; Wai-Sun Don; Shusen Xie (J. Sci. Comput., 2015)

Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws. - Wai-Sun Don; Zhen Gao 002; Peng Li; Xiao Wen (SIAM J. Sci. Comput., 2016)

Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows. - Arnab Chaudhuri; Gustaaf B. Jacobs; Wai-Sun Don; H. Abbassi; Farzad Mashayek (J. Comput. Phys., 2017)

Enhanced Robustness of the Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws with Multi-resolution Analysis and Tukey's Boxplot Method. - Zhen Gao 002; Xiao Wen; Wai Sun Don (J. Sci. Comput., 2017)

An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws. - Bao-Shan Wang; Peng Li; Zhen Gao 002; Wai Sun Don (J. Comput. Phys., 2018)

Fast Iterative Adaptive Multi-quadric Radial Basis Function Method for Edges Detection of Piecewise Functions - I: Uniform Mesh. - Wai Sun Don; Bao-Shan Wang; Zhen Gao 002 (J. Sci. Comput., 2018)

High Order Positivity- and Bound-Preserving Hybrid Compact-WENO Finite Difference Scheme for the Compressible Euler Equations. - Peng Li; Wai-Sun Don; Cheng Wang; Zhen Gao 002 (J. Sci. Comput., 2018)

Shock Regularization with Smoothness-Increasing Accuracy-Conserving Dirac-Delta Polynomial Kernels. - B. W. Wissink; Gustaaf B. Jacobs; Jennifer K. Ryan; Wai-Sun Don; E. T. A. van der Weide (J. Sci. Comput., 2018)

Hybrid Compact-WENO Finite Difference Scheme with Radial Basis Function Based Shock Detection Method for Hyperbolic Conservation Laws. - Bao-Shan Wang; Wai-Sun Don; Z. Gao; Y. H. Wang; X. Wen (SIAM J. Sci. Comput., 2018)

Generalized Sensitivity Parameter Free Fifth Order WENO Finite Difference Scheme with Z-Type Weights. - Yinghua Wang; Bao-Shan Wang; Wai Sun Don (J. Sci. Comput., 2019)

A Characteristic-wise Alternative WENO-Z Finite Difference Scheme for Solving the Compressible Multicomponent Non-reactive Flows in the Overestimated Quasi-conservative Form. - Wai Sun Don; Dong-Mei Li; Zhen Gao 002; Bao-Shan Wang (J. Sci. Comput., 2020)

An Edge Detector Based on Artificial Neural Network with Application to Hybrid Compact-WENO Finite Difference Scheme. - Xiao Wen; Wai Sun Don; Zhen Gao 002; Jan S. Hesthaven (J. Sci. Comput., 2020)

Entropy Stable and Well-Balanced Discontinuous Galerkin Methods for the Nonlinear Shallow Water Equations. - Xiao Wen; Wai Sun Don; Zhen Gao 002; Yulong Xing (J. Sci. Comput., 2020)

Fifth-Order A-WENO Finite-Difference Schemes Based on a New Adaptive Diffusion Central Numerical Flux. - Bao-Shan Wang; Wai Sun Don; Naveen Kumar Garg; Alexander Kurganov (SIAM J. Sci. Comput., 2020)

Sensitivity Parameter-Independent Characteristic-Wise Well-Balanced Finite Volume WENO Scheme for the Euler Equations Under Gravitational Fields. - Peng Li; Bao-Shan Wang; Wai-Sun Don (J. Sci. Comput., 2021)

A novel and robust scale-invariant WENO scheme for hyperbolic conservation laws. - Wai Sun Don; Run Li; Bao-Shan Wang; Yinghua Wang (J. Comput. Phys., 2022)

A Time-Continuous Embedding Method for Scalar Hyperbolic Conservation Laws on Manifolds. - Yinghua Wang; Bao-Shan Wang; Leevan Ling; Wai Sun Don (J. Sci. Comput., 2022)

A fast computational framework for the linear bond-based peridynamic model. - Chenguang Liu; Hao Tian; Wai-Sun Don; Hong Wang 018 (CoRR, 2023)

Scale-Invariant Multi-resolution Alternative WENO Scheme for the Euler Equations. - Peng Li; Tingting Li; Wai-Sun Don; Bao-Shan Wang (J. Sci. Comput., 2023)

A high-order multi-time-step scheme for bond-based peridynamics. - Chenguang Liu; Jie Sun; Hao Tian; Wai Sun Don; Lili Ju (J. Comput. Appl. Math., 2024)

A family of bound-preserving velocity-consistent schemes for two-medium γ-based model with stiffened gas. - Changming Guo; Yuanyang Qiao; Wai Sun Don; Bao-Shan Wang (J. Comput. Phys., 2025)

A fast computational framework for the linear peridynamic model. - Chenguang Liu; Hao Tian; Wai Sun Don; Hong Wang 018 (Eng. Comput., 2025)