Some convergent and stable numerical procedures for Cauchy singular integral equations are given. The proposed approach consists of solving the regularized equation and is based on the weighted polynomial interpolation. The convergence estimates are sharp and the obtained linear systems are well conditioned.
Numerical methods for Cauchy singular integral equations in spaces of weighted continuous functions
MASTROIANNI, Giuseppe Maria;RUSSO, Maria Grazia;THEMISTOCLAKIS, Woula
2005-01-01
Abstract
Some convergent and stable numerical procedures for Cauchy singular integral equations are given. The proposed approach consists of solving the regularized equation and is based on the weighted polynomial interpolation. The convergence estimates are sharp and the obtained linear systems are well conditioned.File in questo prodotto:
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