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Bibliography

1
A. Jameson C. A. Kim.
A robust and accurate led-bgk solver on unstructured adaptive meshes.
J. Comp. Phys.., 143:598-627, 1998.

2
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
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
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
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
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
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
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
G. May and A. Jameson.
High-order accurate methods for high-speed flow.
Aiaa paper 2005-5251, 2005.

10
G. May and A. Jameson.
Improved gaskinetic multigrid method for three-dimensional computation of viscous flow.
Aiaa paper 2005-5106, 2005.

11
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
K.H. Prendergast and K. Xu.
Numerical hydrodynamics from gas-kinetic theory.
J. Comp. Phys., 109:53-66, 1993.

13
Z. J. Wang and Y. Liu.
The spectral difference method for the 2d euler equations on unstructured grids.
Aiaa paper 2005-5112, 2005.

14
P. Woodward and P. Colella.
The numerical simulation of two-dimensional fluid flow with strong shocks.
J. Comp. Phys., 54:115-173, 1984.

15
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
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
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