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Nyström method for Cauchy singular integral equations with negative index

✍ Scribed by M.C. De Bonis; C. Laurita

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
839 KB
Volume
232
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper, the authors propose a Nyström method to approximate the solutions of Cauchy singular integral equations with constant coefficients having a negative index. They consider the equations in spaces of continuous functions with weighted uniform norm. They prove the stability and the convergence of the method and show some numerical tests that confirm the error estimates.

📜 SIMILAR VOLUMES

Matrix representations associated with c
Matrix representations associated with collocation methods for Cauchy singular integral equations
✍ P. Junghanns; K. Rost 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB

## Abstract We prove representations for the coefficient matrices of the linear systems which occur by applying certain collocation methods to Cauchy singular integral equations. These representations use fast discrete trigonometric transforms and give the possibility to design fast algorithms for