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- 1
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A. Jameson C. A. Kim.
A robust and accurate led-bgk solver on unstructured adaptive meshes.
J. Comp. Phys.., 143:598-627, 1998.
- 2
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B. Cockburn and S. Y. Lin.
Tvb runge-kutta local projection discontinuous galerkin finite
element method for conservation laws iii: One dimensional systems.
J. Comp. Phys., 84:90-113, 1989.
- 3
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B. Cockburn and C. W. Shu.
Tvb runge-kutta local projection discontinuous galerkin finite
element method for conservation laws ii: General framework.
Math. Comp., 52(186):411-435, 1988.
- 4
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B. Cockburn and S. W. Shu.
The local discontinuous galerkin method for time-dependent
convection-diffusion systems.
SIAM. J. Numer. Anal., 35(6):2440-2463, 1998.
- 5
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B. Cockburn and S. W. Shu.
The runge-kutta discontinuous galerkin method for conservation laws
v: Multidimensional systems.
Math. Comp., 141:199-224, 1998.
- 6
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J. S. Hesthaven.
From electrostatics to almost optimal nodal sets for polynomial
interpolation in a simplex.
SIAM J. Num. Anal., 35(2):655-676, 1998.
- 7
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A. Jameson.
Analysis and design of numerical schemes for gas dynamcics 2:
Artificial diffusion and discrete shock structure.
Int. J. Comp. Fluid. Dyn., 5:1-38, 1995.
- 8
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Y. Liu, M. Vinokur, and Z. J. Wang.
Discontinuous spectral difference method for conservation laws on
unstructured grids.
In Proceedings of the 3rd International Conference on
Computational Fluid Dynamics, July 12-16, 2004, Toronto, Canada. Springer,
2004.
- 9
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G. May and A. Jameson.
High-order accurate methods for high-speed flow.
Aiaa paper 2005-5251, 2005.
- 10
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G. May and A. Jameson.
Improved gaskinetic multigrid method for three-dimensional
computation of viscous flow.
Aiaa paper 2005-5106, 2005.
- 11
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G. May, B. Srinivasan, and A. Jameson.
Three-dimensional flow calculations on arbitrary meshes using a
gas-kinetic bgk finite-volume method.
Aiaa paper 2005-1397, 2005.
- 12
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K.H. Prendergast and K. Xu.
Numerical hydrodynamics from gas-kinetic theory.
J. Comp. Phys., 109:53-66, 1993.
- 13
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Z. J. Wang and Y. Liu.
The spectral difference method for the 2d euler equations on
unstructured grids.
Aiaa paper 2005-5112, 2005.
- 14
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P. Woodward and P. Colella.
The numerical simulation of two-dimensional fluid flow with strong
shocks.
J. Comp. Phys., 54:115-173, 1984.
- 15
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K. Xu.
A gas-kinetic bgk scheme for the navier-stokes equations and its
connection with artificial dissipation and godunov method.
J. Comp. Phys., 171(48):289-335, 2001.
- 16
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K. Xu, L. Martinelli, and A. Jameson.
Gas-kinetic finite-volume methods, flux vector splitting and
artificial diffusion.
J. Comp. Phys., 120(48), 1995.
- 17
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L. Zhang Z. J. Wang and Y. Liu.
High-order spectral volume method for 2d euler equations.
Aiaa paper 2003-3534, 2003.
Georg May
2006-02-23