Remarks on two integral operators and numerical methods for CSIE

• Autores: Maria Carmela De Bonis
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 260, Nº 1, 2014, págs. 117-134
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.09.063
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• Resumen

  • In this paper the author extends the mapping properties of some singular integral operators in Zygmund spaces equipped with uniform norm. As a by-product quadrature methods for solving CSIE having indices 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.