On the Chebyshev penalty method for parabolic and hyperbolic equations

Mathematical Modelling and Numerical Analysis

Volumn 30, Issue 7, 1996, Pages 907-920

  Dettori, Lucia ^a   Yang, Baolin ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030366352     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an/1996300709071     Document Type: Article

References (7)

1. D. GOTTLIEB, M. Y. HUSSAINI and S. A. ORZAG, 1984, Theory and application of spectral methods, in : R. VOIGT, D. GOTTLIEB and M. Y. HUSSAINI, ds., Spectral Methods for Partial Differential Equations (SIAM-CBMS, Philadelphia, PA, 1984) pp. 1-94.
2. D. FUNARO, 1992, Polynomial approximation of differential equations, Springer-Verlag.
3. D. FUNARO, 1988, Domain decomposition methods for pseudospectral approximations. Part One : Second order equations in one dimension, Numr. Math., 52, pp. 329-344.
4. C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI and T. A. ZANG, 1988, Spectral Methods in Fluid Dynamics, Springer-Verlag.
5. W. S. DON and D. GOTTLIEB, 1994, The Chebyshev-Legendre method : implementing Legendre methods on Chehyshev points, SIAM J. Numer. Anal., 6, pp. 1519-1534.
6. D. FUNARO and D. GOTTLIEB, 1988, A new method of imposing boundary conditions for hyperbolic equations. Math. Comp., 51, pp. 599-613.
7. D. FUNARO and D. GOTTLIEB, 1991, Convergence results for pseudospectral approximations of hyperbolic systems by a penalty-type boundary treatment, Math. Comp., 57, pp. 585-596.