Local theory of the collocation method for the approximate solution of singular integral equations. I

DOI10.1007/BF01195867zbMath0558.65095MaRDI QIDQ802295

Peter Junghanns, Bernd Silbermann

Publication date: 1984

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

convergenceBanach algebracollocation methodsprojection methodspiecewise continuous coefficientslocal principlefactor algebra

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Ideals and subalgebras (46H10)

Related Items (9)

Asymptotic Moore-Penrose invertibility of singular integral operators ⋮ Collocation for Cauchy singular integral equations ⋮ A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero ⋮ Kernel dimension of singular integral operators with piecewise continuous coefficients on the unit circle ⋮ Spline approximation methods for multidimensional periodic pseudodifferential equations ⋮ Spline collocation for singular integro-differential equations over (0,1) ⋮ Extension-Restriction Theorems for Algebras of Approximation Sequences ⋮ More Than 40 Years of Algebraic Techniques in Numerical Analysis ⋮ Quadrature method for singular integral equations on closed curves

Cites Work

• Lokale Theorie des Reduktionsverfahrens für singuläre Integralgleichungen
• Notwendige und hinreichende Bedingungen für die Konvergenz des Kollokationsverfahrens bei singulären Integralgleichungen
• Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren
• Kollokationsverfahren zur näherungsweisen Lösung singulärer Integralgleichungen mit unstetigen Koeffizienten

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