Accurancy barriers of three time level difference schemes for hyperbolic equations
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Date
1991-03
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Report
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Abstract
A basic assumption for the interior scheme when solving hyperbolic mixed initial boundary value problems is that it satisfies the von Neumann stability condition. Here we show that this condition limits the order of accuracy a scheme with a given difference stencil can have. The proofs use order stars.
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published
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1991-04
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Seminar for Applied Mathematics, ETH Zurich
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Subject
difference schemes; hyperbolic equations; initial boundary value problem; mixed initial value problems; Neumann stability; accuracy barriers; order stars
Organisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics