Spectral methods for initial boundary value problems with nonsmooth data

Numerische Mathematik

Volumn 81, Issue 3, 1999, Pages 323-344

  Dutt, P ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033476123     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050395     Document Type: Article

References (8)

1. Abarbanel, S., Gottlieb, D., Tadmor, E. (1986): Spectral methods for discontinuous problems, Numerical Methods for Fluid Dynamics II (K.W. Morton and M.J. Baines, eds.), Oxford University Press
2. Canute, C., Hussaini, M.Y., Quarterani, A., Zang, T.A. (1988): Spectral methods in fluid dynamics, Springer, Ser. Comput. Phys., Springer Verlag, New York
3. Dutt, P., Singh, A.K. (1994): The Galerkin-Collocation method for initial boundary value problems, J. Comput. Phys. 112(2), 211
4. Dutt, P.K., Singh, A.K. (1993): Spectral methods for periodic initial value problems with nonsmooth data, Math. Comp. 61(204), 645
5. Gottlieb, D., Tadmor, E. (1985): Recovering pointwise values of discontinuous data with spectral accuracy, Progress and Supercomputing in Computational Fluid Dynamics (E.M. Murman and S.S. Abarbanel, eds.), Birkhauser, Boston, pp. 357-375
6. Maday, Y., Pernaud-Thomas, B., Vandeven, H. (1986): Reappraisal of Laguerre type spectral methods, Rech. Aerosp., pp. 133-135
7. Rauch, J.B., Massey, F.J. III (1974): Differentiability of solutions to hyperbolic initial boundary values, Trans. Amer. Math. Soc. 189, 303-318
8. 2 is a continuable condition for Kreiss mixed problems, Comm. Pure Appl. Math. 25, 265-285