On the stability of the spline collocation method for a class of integral equations of the first kind

DOI10.1080/00036818808839806zbMath0666.65094OpenAlexW1973407615WikidataQ58254260 ScholiaQ58254260MaRDI QIDQ3817557

Siegfried Prössdorf, George C. Hsiao

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839806

zbMATH Keywords

stabilityconvergenceregularizationsingular integralsill-posed problemspline collocationlogarithmic kernelfirst kind integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (1)

Error bounds of discretization methods for boundary integral equations with noisy data

Cites Work

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• The convergence of spline collocation for strongly elliptic equations on curves
• On the stability of integral equations of the first kind with logarithmic kernels
• A finite element method for some integral equations of the first kind
• Regularisierung schlecht gestellter Probleme durch Projektionsverfahren
• On spline collocation methods for boundary integral equations in the plane
• On the condition number of the influence matrix belonging to some first kind integral equations with logarithmic kernel

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