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On spline collocation methods for boundary integral equations in the plane. (English) Zbl 0577.65107
This paper focuses the spline collocation methods on uniform meshes with variable collocation points for one-dimensional pseudodifferential equations on a closed curve with convolutional principal parts. Necessary and sufficient conditions for convergence and a proof of asymptotic error estimates are given. Some results on nodal and midpoint collocation obtained in the literature are generalized.
Reviewer: N.F.F.Ebecken

MSC:
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35S15 Boundary value problems for PDEs with pseudodifferential operators
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