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An approximation algorithm for quadratic dynamic systems based on N. Chomsky's grammar for Taylor's formula - MaRDI portal

An approximation algorithm for quadratic dynamic systems based on N. Chomsky's grammar for Taylor's formula (Q338010)

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scientific article; zbMATH DE number 6647443
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An approximation algorithm for quadratic dynamic systems based on N. Chomsky's grammar for Taylor's formula
scientific article; zbMATH DE number 6647443

    Statements

    An approximation algorithm for quadratic dynamic systems based on N. Chomsky's grammar for Taylor's formula (English)
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    3 November 2016
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    The authors discuss the numerical solution of multidimensional quadratic dynamical systems by one-step methods based on truncated Taylor expansions. For this method, they present a technique for estimating the error. This technique is based on concepts from the theory of context-free grammars.
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    dynamic system
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    quadratic system of equations
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    Cauchy problem
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    Taylor's formula
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    remainder term
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    error estimate
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    algorithm
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    context-free grammar
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    one-step method
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