Geodesic
Strong convergence estimates for pseudospectral methods
Applications of Mathematics, Tome 37 (1992) no. 6, pp. 401-417.

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Strong convergence estimates for pseudospectral methods applied to ordinary boundary value problems are derived. The results are also used for a convergence analysis of the Schwarz algorithm (a special domain decomposition technique). Different types of nodes (Chebyshev, Legendre nodes) are examined and compared.
DOI : 10.21136/AM.1992.104520
Classification : 34B05, 35J25, 65L10, 65L60, 65N30, 65N35
Keywords: pseudospectral; collocation; Schwarz algorithm; strong convergence estimates; domain decomposition; Legendre nodes; Chebyshev nodes 
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     author = {Heinrichs, Wilhelm},
     title = {Strong convergence estimates for pseudospectral methods},
     journal = {Applications of Mathematics},
     pages = {401--417},
     publisher = {mathdoc},
     volume = {37},
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     zbl = {0767.65064},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104520/}
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Heinrichs, Wilhelm. Strong convergence estimates for pseudospectral methods. Applications of Mathematics, Tome 37 (1992) no. 6, pp. 401-417. doi : 10.21136/AM.1992.104520. http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104520/

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