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Second order parallel algorithms for piecewise smooth displacement kernels |
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| Authors: | I. Gohberg I. Koltracht P. Lancaster |
| Affiliation: | (1) School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, ISRAEL;(2) Department of Mathematics, University of Connecticut, 06268 Storrs, Connecticut, USA;(3) Department of Mathematics & Statistics, University of Calgary, 2500 University Drive N.W., T2N 1N4 Calgary, Alberta, CANADA |
| Abstract: | Second order parallel algorithms for Fredholm integral equations with piecewise smooth displacement kernels are derived. One is based on a difference scheme of Runge-Kutta type for an unusual partial differential equations for continuous functions of two variables. The other is based on the trapezoidal quadrature rule applied to a modified integral equations. It is found that the Runge-Kutta type algorithm exhibits certain advantages.The work of these authors was supported in part by the NSF Grant DMS-9007030The work of this author was supported in part by a grant from the National Science and Engineering Research Council of Canada |
| Keywords: | Primary 65R20 Secondary 35R05 45B05 45E10 45L10 |
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