Spline Collocation for Convolutional Parabolic Boundary Integral Equations

Martin Costabel and Jukka Saranen

We consider spline collocation methods for a class of parabolic pseudodifferential operators. We show optimal order convergence results in a large scale of anisotropic Sobolev spaces. The results cover for example the case of the single layer heat operator equation when the spatial domain is a disc.

Numer. Math. 84 (2000), 417-449.

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