In this paper the author extends the mapping properties of some singular integral operators in Zygmund spaces equipped with uniform norm. As by-product quadrature methods for solving CSIE having index $0$ and $1$ are proposed. Their stability and convergence are proved and error estimates in Zygmund norm are given. Some numerical tests are also shown.
Remarks on two integral operators and numerical methods for CSIE
DE BONIS, Maria Carmela
2014-01-01
Abstract
In this paper the author extends the mapping properties of some singular integral operators in Zygmund spaces equipped with uniform norm. As by-product quadrature methods for solving CSIE having index $0$ and $1$ are proposed. Their stability and convergence are proved and error estimates in Zygmund norm are given. Some numerical tests are also shown.File in questo prodotto:
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