The \(K\)-operator and the qualocation method for strongly elliptic equations on smooth curves
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Publication:1317851
DOI10.1216/jiea/1181075762zbMath0795.65094OpenAlexW2008796119MaRDI QIDQ1317851
Publication date: 8 September 1994
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jiea/1181075762
integral equationorder of convergencequalocation method\(K\)-operatorstrongly elliptic pseudo-differential operator
Pseudodifferential operators as generalizations of partial differential operators (35S05) Numerical methods for integral equations (65R20)
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Cites Work
- Spline qualocation methods for boundary integral equations
- A quadrature-based approach to improving the collocation method for splines of even degree
- The convergence of spline collocation for strongly elliptic equations on curves
- The convergence of even degree spline collocation solution for potential problems in smooth domains of the plane
- A quadrature-based approach to improving the collocation method
- On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
- Bounds for a class of linear functionals with applications to Hermite interpolation
- On the limiting behaviour of solutions to boundary integral equations associated with time harmonic wave equations for small frequencies
- On the Asymptotic Convergence of Collocation Methods
- Higher Order Local Accuracy by Averaging in the Finite Element Method
- High Order Local Approximations to Derivatives in the Finite Element Method
- The K-Operator and the Galerkin Method for Strongly Elliptic Equations on Smooth Curves: Local Estimates
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