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On the Alekseev-Gröbner formula in Banach spaces

  • * Corresponding author: Primož Pušnik

    * Corresponding author: Primož Pušnik

This work was partially supported by the SNSF-Research project 200021_156603 "Numerical approximations of nonlinear stochastic ordinary and partial differential equations"

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  • The Alekseev-Gröbner formula is a well known tool in numerical analysis for describing the effect that a perturbation of an ordinary differential equation (ODE) has on its solution. In this article we provide an extension of the Alekseev-Gröbner formula for Banach space valued ODEs under, loosely speaking, mild conditions on the perturbation of the considered ODEs.

    Mathematics Subject Classification: Primary: 34A99; Secondary: 65L99.


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