On symmetrizers for Gauss method (Q756938)
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scientific article; zbMATH DE number 4192974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On symmetrizers for Gauss method |
scientific article; zbMATH DE number 4192974 |
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On symmetrizers for Gauss method (English)
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1992
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The maximum attainable order of a special class of symmetrizers for Gauss methods is studied. In particular, it is shown that a symmetrizer of this type for the s-stage Gauss method can attain order 2s-1 only for \(1\leq s\leq 3\), and that these symmetrizers are L-stable. A classification of the maximum attainable order of symmetrizers for some higher stages is presented. An L-stable symmetrizer is also shown to exist for each of the methods studied.
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L-stability
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symmetrizers
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Gauss methods
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maximum attainable order
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