Spline collocation for convolutional parabolic boundary integral equations |
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| Authors: | M Costabel J Saranen |
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| Institution: | (1) Institut de Mathématiques, Université de Rennes I, Campus de Beaulieu, F-35042 Rennes Cedex, France; e-mail: costabel@univ-rennes1.fr , FR;(2) Department of Mathematical Sciences, University of Oulu, FIN-90570 Oulu, Finland; e-mail: jukka.saranen@oulu.fi , FI |
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| Abstract: | Summary. 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.
Received December 15, 1997 / Revised version received November 16, 1998 / Published online September 24, 1999 |
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| Keywords: | Mathematics Subject Classification (1991):65R20 45L10 |
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