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.
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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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

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