Geodesic
Spectral methods for singular perturbation problems
Applications of Mathematics, Tome 39 (1994) no. 3, pp. 161-188.

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We study spectral discretizations for singular perturbation problems. A special technique of stabilization for the spectral method is proposed. Boundary layer problems are accurately solved by a domain decomposition method. An effective iterative method for the solution of spectral systems is proposed. Suitable components for a multigrid method are presented.
DOI : 10.21136/AM.1994.134251
Classification : 35B25, 35J25, 65F10, 65N12, 65N35, 65N55
Keywords: spectral methods; singular perturbation; stabilization; domain decomposition; iterative solver; multigrid method 
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     title = {Spectral methods for singular perturbation problems},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134251/}
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Heinrichs, Wilhelm. Spectral methods for singular perturbation problems. Applications of Mathematics, Tome 39 (1994) no. 3, pp. 161-188. doi : 10.21136/AM.1994.134251. http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134251/

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