Spectral methods for initial boundary value problems with nonsmooth data |
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Authors: | P Dutt |
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Institution: | (1) Department of Mathematics, Indian Institute of Technology, Kanpur – 208016, India , IN |
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Abstract: | Summary. In this paper we consider hyperbolic initial boundary value problems with nonsmooth data. We show that if we extend the time
domain to minus infinity, replace the initial condition by a growth condition at minus infinity and then solve the problem
using a filtered version of the data by the Galerkin-Collocation method using Laguerre polynomials in time and Legendre polynomials
in space, then we can recover pointwise values with spectral accuracy, provided that the actual solution is piecewise smooth.
For this we have to perform a local smoothing of the computed solution.
Received August 1, 1995 / Revised version received August 19, 1997 |
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Keywords: | Mathematics Subject Classification (1991):65M70 |
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