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- C.-W. Shu, W.S. Don, D. Gottlieb, O. Schilling, L. Jameson,
Convergence of the Spectral methods for the incompressible Taylor-Green vortex simulation,
J. Sci. Comput. 24 (1): 569-595, 2005
- W.S. Don, D. Gottlieb, J.H. Jung,
A multi-domain spectral method for supersonic reactive flows,
J. Comput. Phys. 192: 325-354, 2003
- 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
- B. Costa, W.S. Don,
On the computation of High Order Pseudospectral Derivatives,
Appl. Numer. Math. 33 (1): 151-159, 2000
- W.S. Don, D. Gottlieb,
Spectral Simulations of Supersonic Reactive Flows,
SIAM J. Numer. Anal. 35 (6): 2370-2384, 1998
- W.S. Don, D. Gottlieb,
High Order Methods for Complicated Flows Interacting with Shock Waves,
AIAA J. 97-0538, 1997
- W.S. Don, A. Solomonoff,
Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique,
SIAM J. Sci. Comput. 18 (4), 1997
- 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
- W.S. Don, C. Quillen,
Numerical simulation of Reactive Flow, Part I : Resolution,
J. Comput. Phys. 122: 244-265, 1995
- W.S. Don, A. Solomonoff,
Accuracy and Speed in Computing the Chebyshev Collocation Derivative,
SIAM J. Sci. Comput. 16 (6): 1253-1268, 1995
- W.S. Don, D. Gottlieb,
The Chebyshev-Legendre Method : Implementing Legendre Method on Chebyshev Points,
SIAM J. Numer. Anal. 31 (6): 1519-1534, 1994
- W.S. Don,
Numerical Study of Pseudospectral Methods in Shock Wave Applications,
J. Comput. Phys. 110: 103-111, 1994
- 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
- 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