V. Didenko; S. Roch; B. Silbermann : Some peculiarities of approximation methods for singular integral equations with conjugation

Author(s) :

V. Didenko; S. Roch; B. Silbermann

Title :

Some peculiarities of approximation methods for singular integral equations with conjugation

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 98-25, 1998

Mathematics Subject Classification :

65R20 [ Integral equations (numerical methods) ]

47G10 [ Integral operators ]

Abstract :

Approximation methods for singular integral operators with continuous coefficients and conjugation on curves with corners are investigated with respect to their stability. Particular emphasis is devoted to index constraints for the local stability conditions. It turns out that, if an associated local operator is Fredholm, then the absolute value of its Fredholm index is necessarily bounded by 2, and this maximal value is attained in some instances (whereas it is known that in case of pure singular integral equations Fredholmness of the associated local operators already implies vanishing index).

Keywords :

Cauchy singular integral equations, approximation methods, index

Language :

english

Publication time :

12/1998