ISSN:
0945-3245
Keywords:
(1980). AMS (MOS)
;
Primary 41A10
;
Secondary 65N15
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary We give error estimates for both Legendre and Chebyshev spectral approximations of the steady state Burgers' problem $$ - u_{xx} + \lambda (uu_x - f) = 0 in I = ( - 1,1); u( - 1) = u(1) = 0. $$ To do that we prove some abstract approximation properties of orthogonal projection operators in some weighted Sobolev spacesH ω s (I) for both Legendre and Chebyshev weights.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01400311
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