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Tensor invariants in numerical geometric integration of ODEs (Q885930)

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scientific article; zbMATH DE number 5164870
Language Label Description Also known as
English
Tensor invariants in numerical geometric integration of ODEs
scientific article; zbMATH DE number 5164870

    Statements

    title
    Tensor invariants in numerical geometric integration of ODEs (English)
    0 references
    author
    Teijo Arponen
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    publication date
    14 June 2007
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    review text
    Geometric numerical integration methods have proven to be a very valuable tool in the numerical solution of differential equations because they preserve certain geometric invariants of the exact solution. In the paper under review, this idea is extended from geometric to algebraic invariants. The basic elements of the corresponding theory are developed and some examples are given.
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    reviewed by
    Kai Diethelm
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    zbMATH Keywords
    one-step method
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    dissipative system
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    composition
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    decomposition
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    algebraic invariant
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    numerical examples
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    Identifiers

    Mathematics Subject Classification ID
    65L05
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    65L06
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    34A34
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    34A26
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    zbMATH DE Number
    5164870
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    OpenAlex ID
    W1988327286
    0 references
     
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