On spline collocation for convolution equations

DOI10.1007/BF01199456zbMath0674.65098MaRDI QIDQ1121662

Johannes Elschner

Publication date: 1989

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

zbMATH Keywords

stabilitycollocation methodsspline collocationoptimal convergenceWiener-Hopf integral equationsMellin convolution 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 (7)

On the Exponential Convergence of Spline Approximation Methods for Wiener-Hopf Equations ⋮ Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line ⋮ Operational Quadrature Methods for Wiener-Hopf Integral Equations ⋮ A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero ⋮ The \(h-p\)-version of spline approximation methods for Mellin convolution equations ⋮ Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations ⋮ Numerical methods for integral equations of Mellin type

Cites Work

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• The convergence of Nyström methods for Wiener-Hopf equations
• Factorization of matrix functions and singular integral operators
• On Spline Approximation for a Class of Non‐Compact Integral Equations
• Projection Methods for Integral Equations on the Half-Line
• Product Integration-Collocation Methods for Noncompact Integral Operator Equations
• High-Order Methods for Linear Functionals of Solutions of Second Kind Integral Equations
• Asymptotics of Solutions to Pseudodifferential Equations of MELLIN Type
• Eine Quadraturformelmethode für Mellin-Operatoren nullter Ordnung

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