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.
@article{104520, author = {Wilhelm Heinrichs}, title = {Strong convergence estimates for pseudospectral methods}, journal = {Applications of Mathematics}, volume = {37}, year = {1992}, pages = {401-417}, zbl = {0767.65064}, mrnumber = {1185797}, language = {en}, url = {http://dml.mathdoc.fr/item/104520} }
Heinrichs, Wilhelm. Strong convergence estimates for pseudospectral methods. Applications of Mathematics, Tome 37 (1992) pp. 401-417. http://gdmltest.u-ga.fr/item/104520/
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