Preview
Unable to display preview. Download preview PDF.
References
S. Abarbanel, D. Gottlieb and E. Tadmor, Spectral methods for discontinuous problems, in “Numerical Analysis for Fluid Dynamics II” (K. W. Morton and M. J. Baines, eds.), Oxford University Press, 1986, pp. 129-153.
C. Canuto, M. Y. Hussaini, A. Quarteroni and T. Zang, Spectral Methods with Applications to Fluid Dynamics, Springer-Verlag, 1987.
R. DiPerna, Convergence of approximate solutions to systems of conservation laws, Arch. Rat. Mech. Anal., Vol. 82, pp. 27–70 (1983).
Y. Maday and E. Tadmor, Analysis of the spectral viscosity method for periodic conservation laws, SIAM J. Num. Anal., to appear.
A. Majda, J. McDonough and S. Osher, The Fourier method for nonsmooth initial data, Math. Comp., Vol. 30, pp. 1041–1081 (1978).
E. Tadmor, Convergence of spectral methods for nonlinear conservation laws, SIAM J. Num. Anal., in press.
E. Tadmor, Semi-discrete approximations to nonlinear systems of conservation laws; consistency and L ∞-stability imply convergence, ICASE Report No. 88–41.
L. Tartar, Compensated compactness and applications to partial differential equations, Research Notes in Mathematics 39, Nonlinear Analysis and Mechanics, Heriott-Watt Symposium, Vol. 4 (R. J. Knopps, ed.), Pittman Press, pp. 136–211 (1975).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Tadmor, E. (1989). Convergence of the spectral viscosity method for nonlinear conservation laws. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) 11th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51048-6_90
Download citation
DOI: https://doi.org/10.1007/3-540-51048-6_90
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51048-2
Online ISBN: 978-3-540-46141-8
eBook Packages: Springer Book Archive