A transformation for the analysis of DIMSIMs (Q1343039)
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scientific article; zbMATH DE number 716124
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A transformation for the analysis of DIMSIMs |
scientific article; zbMATH DE number 716124 |
Statements
A transformation for the analysis of DIMSIMs (English)
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18 June 1995
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Within the class of `general linear methods' for the numerical solution of initial value problems \(y'= f(y)\) those having a diagonally implicit structure (DIMSIM) are considered. In this article a similarity transformation for the occurring matrices of the method is proposed which considerably simplifies the stability analysis of the methods. Its usefulness for the construction of \(A\)-stable methods is demonstrated.
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diagonally-implicit multistage integration method
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stability polynomial
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general linear methods
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0.84921694
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0.8312332
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0.8289057
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0.8217126
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