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.
2014
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/61036
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