Convergence results for discrete trigonometric collocation methods with product integration in Hölder-Zygmund spaces

DOI10.4171/ZAA/785zbMath0889.65142MaRDI QIDQ1368789

L. Schroderus

Publication date: 2 June 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceerror estimatesproduct integrationboundary integral equationspseudodifferential equationstrigonometric collocationHölder-Zygmund norms

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve
• Quadrature method for singular integral equations on closed curves
• Pointwise error estimates for the trigonometric collocation method applied to singular integral equations and periodic pseudodifferential equations
• The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves
• Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves
• Some Discrete Methods for Boundary Integral Equations on Smooth Closed Curves
• Trigonometric Collocation Methods with Product Integration for Boundary Integral Equations on Closed Curves