The accurate solution of certain continuous problems using only single precision arithmetic (Q1091751)
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scientific article; zbMATH DE number 4011771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The accurate solution of certain continuous problems using only single precision arithmetic |
scientific article; zbMATH DE number 4011771 |
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The accurate solution of certain continuous problems using only single precision arithmetic (English)
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1985
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Es ist ein bekanntes Phänomen, daß bei der numerischen Lösung kontinuierlicher Probleme mittels Diskretisierung die theoretisch vorhandene Konvergenz infolge von Rundungsfehlern verloren gehen kann. In der vorliegenden Arbeit entwickeln die Autoren für die numerische Integration und die Lösung elliptischer Differentialgleichungen Verfahren, bei denen die Lösungsgenauigkeit die Rechengenauigkeit erreicht.
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continuous problem
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truncation error
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discretization problem
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floating point arithmetic
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rounding-errors
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convergence
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Gill-Møller algorithm
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iterative refinement
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floating point subtraction
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