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Publications

    2020

  1. 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.

  2. 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.

  3. 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.

  4. P. Li, X. 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.

  5. Q. Liu, X. Wen, The WENO Reconstruction Based on the Artificial Neural Network, Advances in Applied Mathematics, 9(4), 574-583, 2020. (In Chinese)

  6. 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.

  7. 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.

  8. X. Wen, Q. Liu, Z. Gao, W.S. Don, X.-Q. Lyu, Application of local non-intrusive reduced basis method in Tayleigh-Taylor instability, Journal of Shangdong University (Natural Science), 55(2), 109-117, 2020. (In Chinese)

  9. J. Xu, Z. Gao, W.S. Don, B.-S. Wang, Order-Preserving Sixth-Order WENO Finite Difference Scheme in the Presence of High Order Critical Points, Journal on Numerical Methods and Computer Applications, 41(1), 68-82, 2020. (In Chinese)

  10. Y. Yang, W.S. Don, Z. Gao, B.-S. Wang, Hybrid Compact-WENO Scheme with RBF-FD Based Discontinuity Detection Method for Hyperbolic Conservation Laws, Journal on Numerical Methods and Computer Applications, 41(3), 232-245, 2020. (In Chinese)

    11. 2019

  11. Y.H. Wang, B.-S. Wang, W.S. Don, Generalized Sensitivity Parameter Free Fifth Order WENO Finite Difference Scheme with Z-Type Weights, J. Sci. Comput. 81(3), 1329-1358, 2019

    12. 2018

  12. 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

  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. 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

  15. 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

  16. 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

  17. X.-F. Li, S.-S. Xie, High-Order Compact Finite Difference Method for Benjamin Equation, Periodical of Ocean University of China, 48(Sup. II), 193–197, 2018. (In Chinese)

  18. X.-J. Meng, Z. Gao, W.-S. Don, Freestream Preservation Hybrid Compact-WENO Finite Difference Schemes on the Generalized Curvilinear Coordinate, Periodical of Ocean University of China, 48(Sup. II), 203–208, 2018. (In Chinese)

  19. 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

  20. B.-S. Wang, Z. Gao, W.S. Don, Y.H. Chen, Vortex Identification Based Multi-Resolution Analysis for Hybrid Compact-WENO Scheme, Periodical of Ocean University of China, 48(Sup. II), 198–202, 2018. (In Chinese)

  21. 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.

  22. 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

  23. J.-W. Zhang, S.-S. Xie, High-Order Compact Difference Method for Boussinesq Equations, Periodical of Ocean University of China, 48(Sup. II), 187–192, 2018. (In Chinese)

    24. 2017

  24. A.Z. Cao, Z. Guo, X.Q. Lv, J.B. Song, J.C. Zhang, Coherent and incoherent features, seasonal behaviors and spatial variations of internal tides in the northern South China Sea, J. Marine Syst., 172, 75-83, 2017

  25. A. Chaudhuri, G. Jacobs, W.S. Don, H. Abbassi, F. Mashayek, Artificial entropy viscosity based high-order 3D discontinuous spectral element scheme for capturing shocks, J. Comput. Phys. 332: 99-117, 2017

  26. K. Fu, D. Liang, The Time Second Order Mass Conservative Characteristic FDM for Advection-Diffusion Equations in High Dimensions, J. Sci. Comput., 73: 26-49, 2017

  27. Z. Gao, X. Wen, W.S. 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

  28. Z. Gao, G.H. Hu, High order well-balanced weighted compact nonlinear schemes for shallow water equations, Commun. Comput. Phy. 22(4): 1049-1068, 2017

  29. H. Tian, L.L. Ju, Q. Du, A novel conservative nonlocal convection-diffusion model and its finite difference approximations, Comput. Methods Appl. Mech. Engrg., 320: 46-67, 2017

  30. Q.Q. Zhu, Z. Gao, W.S. Don, X.Q. Lv, Well-balanced hybrid compact-WENO scheme for shallow water equations, Appl. Numer. Math., 112: 65-78, 2017

    31. 2016

  31. W.S. Don, Z. Gao, P. Li, X. Wen, Hybrid Compact-WENO finite difference scheme with conjugate Fourier shock detection algorithm for hyperbolic conservation laws, SIAM J. Sci. Comput. 38(2): A691-A711, 2016

  32. K. Fu, D. Liang, The conservative characteristic FD methods for atmospheric aerosol transport problems, J. Comput. Phys., 305: 494-520, 2016

  33. D. Liang, K. Fu, W. Wang, Modelling multi-component aerosol transport problems by the efficient splitting characteristic method, Atmos. Env., 144: 297-314, 2016

  34. Y.Z. Liu, J.Yu, Y.L. Shen, X.Q. Lv, A Modified Interpolation Method for Surface Total Nitrogen in the Bohai Sea, J. Atmos. Ocean. Tech., 32, No. 7, 1509-1517, 2016

  35. L.X. Shen, Y.S. Xu, X.Y. Zeng, Wavelet inpainting with the L0 sparse regularization, Appl. Comput. Harmon. A., 41(1): 21-53, 2016.

  36. C. Wang, P. Li, Z. Gao, W.S. Don, Three-dimensional detonation simulations with the mapped WENO-Z finite difference scheme, Comput. Fluids 139: 105-111, 2016

  37. X. Wen, Z. Gao, W.S. Don, Y.L. Xing, P. Li, Application of positivity-preserving well-balanced discontinuous Galerkin method in computational hydrology, Comput. Fluids 139: 112-119, 2016

  38. Z.F. Wu, S. Li, X.Y. Zeng, Y.S. Xu, A. Krol, Reducing staircasing artifacts in SPECT reconstruction by an infimal convolution regularization, J. Comput. Math., 34(6):626-647, 2016.

  39. W. Zheng, J.H. Zhang, S. Li, X.Y. Zeng, C. Schmidtlein, D. Feiglin, Y.S. Xu, A. Krol, New ECT reconstruction algorithm with L0 regularizer, J. Nucl. Med. , 57:supplement 2 1968, 2016.

  40. H.Q. Zhu, Z. Gao, An h-adaptive RKDG method with troubled-cell indicator for one-dimensional detonation wave simulations, Adv. Comput. Math. 42: 1081-1102, 2016

    41. 2015

  41. A.Z. Cao, B.T. Li, X.Q. Lv, Extraction of internal tidal currents and reconstruction of full-depth tidal currents from mooring observations, J. Atmos. Ocean. Tech., Vol. 32, No. 7, 1414-1424, 2015

  42. A.Z. Cao, D.S. Wang, X.Q. Lv, Harmonic analysis in the simulation of multiple constituents: Determination of the optimum length of time series, J. Atoms. Ocean. Tech., Vol. 32, No. 5, 1112-1118, 2015

  43. K. Fu, D. Liang, W. Wang, M. Cui, The time second-order characteristic FEM for nonlinear multi-component aerosol dynamic equations in environment, International Journal of Numerical Analysis and Modeling, 12(2): 211-229, 2015

  44. X.M. Gao, Z.X. Wei, X.Q. Lv, Y.G. Wang, G.H. Fang, Numerical study of tidal dynamics in the South China Sea with adjoint method, Ocean Model., 92, 101-114, 2015

  45. F.L. Jia, Z. Gao, W.S. Don, A spectral study on the dissipation and dispersion of the WENO schemes, J. Sci. Comput. 63(1): 49-77, 2015

  46. P. Li, Z. Gao, W.S. Don, S.S. Xie, Hybrid Fourier-continuation method and weighted essentially non-oscillatory finite difference scheme for conservation laws in a single-domain framework, J. Sci. Comput. 64(3): 670-695, 2015

  47. Y.P. Niu, Z. Gao, W.S. Don, S.S. Xie, P. Li, Hybrid Compact-WENO finite difference scheme for detonation waves simulations, R.M. Kirby et al. (eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering 106, DOI 10.1007/978-3-319-19800-2_14, 179-187, 2015

  48. H. Tian, L.L. Ju, Q. Du, Nonlocal convection-diffusion problems and finite element approximations, Comput. Methods Appl. Mech. Engrg., 289: 60-78, 2015

  49. F. Zhou, X. Y. Zeng, L. H. Yang, A regularized sparse representation method, ACTA Mathematica Sinica-Chinese Series, 58(4): 649-660, 2015.

    50. 2014

  50. F.S. Chen, L.X. Shen, Y.S. Xu, X.Y. Zeng, The Moreau envelope approach for the L1/TV image denoising model, Inverse Probl. Imag., 8(1): 53-77, 2014.

  51. H.B. Chen, A.Z. Cao, J.C. Zhang, C.B. Miao, X.Q. Lv, Estimation of spatially varying open boundary conditions for a numerical internal tidal model with adjoint method, Math. Comput. Simulat., 97, 14-38, 2014

  52. M. Cui, K. Fu, D. Liang, Y. Cheng, W. Wang, Numerical analysis of the second-order characteristic FEM for nonlinear aerosol dynamic equations, J. Comput. Appl. Math., 261: 48-61, 2014

  53. Z. Gao, T. Zhou, On the choice of nodal sets for least square polynomial approximation with application to uncertainty quantification, Commun. Comput. Phys. 16: 365-381, 2014

  54. D. Liang, K. Fu, W. Wang, Efficient splitting characteristic method for solving multi-component aerosol spatial transports in atmospheric environment, ADVCOMP 2014 : The Eighth International Conference on Advanced Engineering Computing and Applications in Sciences, IARIA, ISBN: 978-1-61208-354-4, (2014), 7-11.2

  55. J.P. Suarez, G.B. Jacobs, W.S. 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): 1831-1849, 2014

  56. H. Wang, Hao Tian, A fast and faithful collocation method with efficient matrix assembly for a two-dimensional nonlocal diffusion model, Comput. Methods Appl. Mech. Engrg., 273: 19-36, 2014

  57. H.Y. Xiao, X.Y. Zeng, A proximal point method for the sum of maximal monotone operators, Math. Method. Appl. Sci., 37(11):2638-2650, 2014.

    58. 2013

  58. A.Z. Cao, H.B. Chen, J.C. Zhang, X Q. Lv, Optimization of open boundary conditions in a 3D internal tidal model with the adjoint method around Hawaii, Abstr. Appl. Anal. 950926, 2013

  59. S.L. Davis, T.B. Dittmann, G.B. Jacobs, W.S. Don, Dispersion of a Cloud of Particles by a Moving Shock: Effects of Shape, Angle Rotation and Aspect Ratio, J. Appl. Mech. Tech. Phys. 54 (6): 900-912, 2013

  60. S.L. Davis, G.B. Jacobs, W.S. Don, Carbuncles in higher-order resolution Eulerian-Lagrangian computation of high-speed, particle-laden flow, AIAA J, 1-10, 2013

  61. W.S. Don, R. Borges, Accuracy of the Weighted Essentially Non-Oscillatory Conservative Finite Difference Schemes, J. Comput. Phys. 250: 347-372, 2013

  62. Z. Gao, W.S. Don, Mapped hybrid Central-WENO finite difference scheme for detonation waves simulations, J. Sci. Comput. 55: 351-371, 2013

  63. C.A. Micchelli, L X. Shen, Y.S. Xu, X.Y. Zeng, Proximity algorithms for the L1/TV image denoising models, Adv. Comput. Math. , 38(2), 401-426, 2013.

  64. H. Tian, H. Wang, W.Q. Wang, An efficient collocation method for a non-local diffusion model, Inter. J. Numer. Analy. Model., 10(4): 815-825, 2013

  65. X.Y. Zeng, L.H. Yang, A robust multiframe super-resolution algorithm based on half-quadratic estimation with modified BTV regularization, Digit Signal Process., 23(1): 98-109, 2013.

    66. 2012

  66. H.B. Chen, C.B. Miao, X.Q. Lv, A three-dimensional numerical internal tidal model involving adjoint method, Int. J. Numer. Meth. Fl., 69, 1584–1613, 2012．

  67. W.S. Don, G. Jacobs, A. Gregorio, J.P. Suarez, Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flows, AAMM 4 (6): 719-736, 2012

  68. K. Fu, D. Liang, W. Wang, Y. Cheng, S. Gong, Multi-component atmospheric aerosols prediction by a multi-functional MC-HDMR approach, Atmos. Res., 113: 43-56, 2012

  69. Z. Gao, W.S. Don, Z.Q. Li, High order weighted essentially non-oscillation schemes for two-dimensional detonation wave simulations, J. Sci. Comput. 53: 80-101, 2012

  70. S.Y. Hao, S.S. Xie, S. Yi, The Galerkin method for the KdV equation using a new basis of smooth  piecewise cubic polynomials, Appl. Math. Comp., 218: 8659-8671, 2012

  71. G.B. Jacobs, W.S. Don, T. Dittmann, High-Order Resolution Eulerian-Lagrangian Simulations of Particle Dispersion in the Accelerated Flow behind a Moving Shock, Theor. Comput. Fluid. Dynam. 26: 37-50, 2012

  72. W.T. Long, D. Xu, X.Y. Zeng, Quasi-wavelet based numerical method for a class of partial integro-differential equation, Appl. Math. Comput., 218(24): 11842-11850, 2012.

  73. R.V. Namm, G. Woo, S.S. Xie, S. Yi, Solution of semicoercive signorini problem based on a duality scheme with modified Lagrangian functional, J. Korean Math. Soc., 49(4): 843-854, 2012

  74. H. Wang, H. Tian, A fast Galerkin method with efficient matrix assembly and storage for a Peridynamic model, J. Comput. Phys.,　231: 7730-7738, 2012

  75. S.S. Xie, P. Li, Z. Gao, H. Wang, High order compact finite difference schemes for a system of third order boundary value problem, Appl. Math. Comp. 219: 2564-2573, 2012

  76. S.S. Xie, S. Yi, T.I. Kwon, Fourth-order compact difference and alternating direction implicit schemes for telegraph equations, Comp. Phy. Comm., 183: 552-569, 2012

    77. 2011

  77. M. Castro, B. Costa, W.S. Don, High Order Weighted Essentially Non-Oscillatory WENO-Z schemes for Hyperbolic Conservation Laws, J. Comput. Phys. 230 (5): 1766-1792, 2011 (The 22nd most cited paper published in 2011)

  78. Z. Gao, W.S. Don, Z.Q. Li, High order weighted essentially non-oscillation schemes for one-dimensional detonation wave simulations, J. Comput. Math. 29 (6): 623-638, 2011

  79. Z. Gao, Jan S. Hesthaven, Efficient solution of ordinary differential equations with high dimensional parametrized uncertainty, Commun. Comput. Phys. 10: 253-278, 2011

  80. Z. Gao, S.S. Xie, Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schodinger equations, Appl. Numer. Math. 61: 593-614, 2011

  81. M.L. Liu, Z. Gao, Jan S. Hesthaven, Adaptive sparse grid algorithms with Applications to electromagnetic scattering under uncertainty, Appl. Numer. Math. 61: 24-37, 2011

  82. A. Solomonoff, W.S. Don, Reduction of Linear Systems of ODEs with Optimal Replacement Variables, Commun. Comput. Phys. 9 (3): 756-779, 2011

  83. S.L. Zhang, Z. Gao, D.X. Piao, Pseudo-almost periodic viscosity solutions of second-order nonlinear parabolic equations, Nonlinear Analysis: TMA 74: 6970-6980, 2011

    84. 2010

  84. Z. Gao, Jan S. Hesthaven, On ANOVA expansions and strategies for choosing the anchor point, Appl. Math. Comp. 217: 3274-3285, 2010

  85. L.F. Wang, W.H. Ye, W.S. Don, Z.M. Sheng, Y.J. Li, X.T. He, Formation of large-scale structures in ablative Kelvin-Helmholtz instability, Phys. Plasmas. 17 (12): 1-9, 2010

  86. L.F. Wang, W.H. Ye, Z.M. Sheng, W.S. Don, Y.J. Li, X.T. He, Preheating ablation effects on the Rayleigh-Taylor instability in the weakly nonlinear regime, Phys. Plasmas. 17 (12): 1-8, 2010

  87. S.S. Xie, G.X. Li, S. Yi, S.Y. Heo, A compact finite difference method for solving Burgers equation, Int. J. Numer. Meth. Fluids, 62: 747-764, 2010

    88. 2009

  88. W.S. Don, D. Gottlieb, J.H. Jung, A weighted multi-domain spectral penalty method with inhomogeneous grid for supersonic injective cavity flows, Commun. Comput. Phys. 5: 986-1011, 2009

  89. G. Jacobs, W.S. 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: 1365-1379, 2009

  90. J.H. Jung, W.S. Don, Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources, AAMM 1 (6): 769-780, 2009

  91. S.S. Xie, G.X. Li, S. Yi, Compact Finite Difference Schemes with High Accuracy for One-dimensional Nonlinear Schrodinger Equation, Comput. Methods Appl. Mech. Engrg., 198(9-12): 1052-1060, 2009

    92. 2008

  92. R. Borges, M. Carmona, B. Costa, W.S. Don, An Improved Weighted Essentially Non-Oscillatory Scheme for Hyperbolic Conservation Laws, J. Comput. Phys. 227: 3191-3211, 2008 (The eighth most cited paper published in 2008)

  93. S.S. Xie, S. Heo, S. Kim, G. Woo, S. Yi, Numerical Solution of One Dimensional Burgers Using Reproducing Kernel Function, J. Comput. Appl. Math., 214: 417-434, 2008

  94. S.S. Xie, S. Kim, G. Woo, S. Yi, A Numerical Method for Generalized Regularized Long Wave Equation Using Reproducing Kernel Function, SIAM J. Sci. Comput., 30(5): 2263-2285, 2008

    95. 2007

  95. B. Costa, W.S. Don, Multi-Domain Hybrid Spectral-WENO Methods for Hyperbolic Conservation Laws, J. Comput. Phys. 224 (2): 970-991, 2007

  96. B. Costa, W.S. Don, High Order Hybrid Central-WENO Finite Difference Methods for Conservation Laws, J. Comput. Appl. Math. 204 (2): 209-218, 2007

  97. B. Costa, W.S. Don, A. Simas, Spatial Resolution Properties of Mapped Spectral Chebyshev Methods, Proceeding of 2005 International Conference on Scientific Computing and Partial Differential Equations (SCPDF05), Recent Progress in Scientific Computing, eds. Wenbin Liu, Michael Ng, Zhong-Ci Shi, Science press, Beijing, pp. 179-188, 2007

  98. M. Latini, O. Schilling, W.S. Don, High-resolution simulations and modeling of reshocked single-mode Richtmyer-Meshkov instability. Comparison to experimental data and to amplitude growth model predictions, Phys. Fluids 19, 024104: 1-19, 2007

  99. M. Latini, O. Schilling, W.S. Don, Effects of order of WENO flux reconstruction and spatial resolution on reshocked two-dimensional Richtmyer-Meshkov instability, J. Comput. Phys. 221 (2): 805-836, 2007

  100. M.S. Min, M.S. Kaber, W.S. Don, Fourier-Pade approximations and filtering for the spectral simulations of incompressible Boussinesq convection problem, Publications du Laboratorie Jacques-Louis Lions, R03021, Math. Comput. 76: 1275-1290, 2007

  101. O. Schilling, M. Latini, W.S. Don, Physics of reshock and mixing in single-mode Richtmyer-Meshkov instability, Phys. Rev. E 76 (026319): 1-18, 2007

    102. More

  102. C.-W. Shu, W.S. Don, D. Gottlieb, O. Schilling, L. Jameson, Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow, J. Sci. Comput. 24 (1): 569-595, 2005

  103. W.S. Don, D. Gottlieb, J.H. Jung, A multi-domain spectral method for supersonic reactive flows, J. Comput. Phys. 192: 325-354, 2003

  104. W.S. Don, D. Gottlieb, J.H. Jung, Multi-domain spectral method approach to supersonic combustion of recessed cavity flame-holders, JANNAF 38th Combustion, 26th Airbreathing Propulsion, 20th Propulsion Systems Hazards, and 2nd Modeling and Simulation Subcommittees Joint Meeting, held in Destin, FL, 8-12 April 2002

  105. B. Costa, W.S. Don, On the computation of High Order Pseudospectral Derivatives, Appl. Numer. Math. 33 (1): 151-159, 2000

  106. W.S. Don, D. Gottlieb, Spectral Simulations of Supersonic Reactive Flows, SIAM J. Numer. Anal. 35 (6): 2370-2384, 1998

  107. W.S. Don, D. Gottlieb, High Order Methods for Complicated Flows Interacting with Shock Waves, AIAA J. 97-0538, 1997

  108. W.S. Don, A. Solomonoff, Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique, SIAM J. Sci. Comput. 18 (4), 1997

  109. M. Carpenter, D. Gottlieb, S. Abarbanel, W.S. Don, The Theoretical Accuracy of Runge-Kutta Time Discretization for the Initial boundary Value Problem : A Careful Study of the Boundary Error, SIAM J. Sci. Comput. 16 (6), 1995

  110. W.S. Don, C. Quillen, Numerical simulation of Reactive Flow, Part I : Resolution, J. Comput. Phys. 122: 244-265, 1995

  111. W.S. Don, A. Solomonoff, Accuracy and Speed in Computing the Chebyshev Collocation Derivative, SIAM J. Sci. Comput. 16 (6): 1253-1268, 1995

  112. W.S. Don, D. Gottlieb, The Chebyshev-Legendre Method : Implementing Legendre Method on Chebyshev Points, SIAM J. Numer. Anal. 31 (6): 1519-1534, 1994

  113. W.S. Don, Numerical Study of Pseudospectral Methods in Shock Wave Applications, J. Comput. Phys. 110: 103-111, 1994

  114. S. Abarbanel, W.S. Don, D. Gottlieb, D. Rudy, J. Townsend, Secondary frequencies in the wake of a circular cylinder with vortex shedding, J. Fluid Mech. 225: 557-574, 1991

  115. W.S. Don, D. Gottlieb, Spectral Simulation of Unsteady Compressible Flow Past a Circular Cylinder, in Spectral and High Order Methods for Partial Differential Equations (ed. C. Canuto & A. Quarteroni), Elsevier Science Publishers, 39-58, 1990

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