Research reports

On the Alekseev-Gröbner formula in Banach spaces

by A. Jentzen and F. Lindner and P. Pušnik

(Report number 2018-36)

Abstract
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.

Keywords:

BibTeX
@Techreport{JLP18_790,
  author = {A. Jentzen and F. Lindner and P. Pušnik},
  title = {On the Alekseev-Gr\"obner formula in Banach spaces},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2018-36},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2018/2018-36.pdf },
  year = {2018}
}

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