Numerov made explicit has better stability (Q1060544)
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scientific article; zbMATH DE number 3907679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerov made explicit has better stability |
scientific article; zbMATH DE number 3907679 |
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Numerov made explicit has better stability (English)
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1984
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The wellknown two-step fourth order method of Numerov has an interval of periodicity of size \(6^{1/2}\); but it is an implicit method. We show the interesting result that if it is made explicit by use of the classical second order method, the resulting method has a large interval of periodicity of size \(12^{1/2}\).
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explicit method
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two-step fourth order method of Numerov
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interval of periodicity
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implicit method
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0.76058745
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0.7444148
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0.7403068
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