APPROXIMATION METHODS FOR SINGULAR INTEGRAL-EQUATIONS WITH CONJUGATION ON CURVES WITH CORNERS

Authors
DIDENKO VD ROCH S SILBERMANN B
Citation
Vd. Didenko et al., APPROXIMATION METHODS FOR SINGULAR INTEGRAL-EQUATIONS WITH CONJUGATION ON CURVES WITH CORNERS, SIAM journal on numerical analysis, 32(6), 1995, pp. 1910-1939
Citations number
35
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
32
Issue
6
Year of publication
1995
Pages
1910 - 1939
Database
ISI
SICI code
0036-1429(1995)32:6<1910:AMFSIW>2.0.ZU;2-1
Abstract
Approximation methods fur singular integral operators with continuous coefficients and conjugation as well as for the double-layer potential operator on curves with corners are investigated with respect to thei r stability. The methods under consideration include several kinds of quadrature rules and collocation and qualocation methods. The approach is based on the thorough use of Banach algebra techniques and local p rinciples. Complete necessary and sufficient stability conditions are derived.