Spectral and pseudo-spectral methods for parabolic problems with non periodic boundary conditions

Calcolo - Tập 18 Số 3 - Trang 197-217 - 1981
Claudio Canuto1, Alfio Quarteroni2
1Istituto di Matematica Applicata, Pavia
2Istituto di Analisi Numerica del C.N.R. C.so C., Pavia

Tóm tắt

Từ khóa


Tài liệu tham khảo

C. Canuto, A. Quarteroni,Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp. (1982) to appear.

C. Canuto, A. Quarteroni,Error estimates for spectral and pseudo-spectral approximations of hyperbolic equations, SIAM J. Numer. Anal. (1982), to appear.

P. J. Davis, P. Rabinowitz,Methods of Numerical Integration (1975), Academic Press, New York.

D. Gottlieb,The stability of the pseudo-spectral Chebyshev methods, ICASE Report 79-17, Institute for Computer Applications in Science and Engineering, Hampton, VA, 1979.

D. Gottlieb, S. A. Orszag,Numerical Analysis of Spectral Methods: Theory and Applications CBMS Regional Conference Series in Applied Mathematics 26, SIAM, Philadelphia, 1977.

J. Lions, E. Magenes,Non Homogeneous Boundary Value Problems and applications (1972),1, Springer Verlag, Berlin-Heidelberg-New York.

H. O. Kreiss, J. Oliger,Stability of the Fourier method, SIAM, J. Numer. Anal.,16, (1979), 421–433.

Y. Maday, A. Quarteroni,Legendre and Chebyshev spectral approximations of Burgers' equation, Numer. Math., 37 (1981), 321–332.