Quadratic invariants and symplectic structure of general linear methods (Q2732179)

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scientific article; zbMATH DE number 1623336
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Quadratic invariants and symplectic structure of general linear methods
scientific article; zbMATH DE number 1623336

    Statements

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    30 April 2002
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    quadratic invariants
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    symplecticity
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    general linear method
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    hamiltonian system
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    Quadratic invariants and symplectic structure of general linear methods (English)
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    The aim of the present paper is to unify and extend the existing results and to investigate under which condition a general linear method (GLM) is symplectic in an extended sense when applied to Hamiltonian systems of differential equations and under what conditions a GLM inherits the quadratic invariants possessed by the differential equation systems being integrated.
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