Corpus ID: 174224

Explicit Error Bounds for Carleman Linearization

@article{Forets2017ExplicitEB,
  title={Explicit Error Bounds for Carleman Linearization},
  author={Marcelo Forets and A. Pouly},
  journal={ArXiv},
  year={2017},
  volume={abs/1711.02552}
}
  • Marcelo Forets, A. Pouly
  • Published 2017
  • Mathematics, Computer Science
  • ArXiv
  • We revisit the method of Carleman linearization for systems of ordinary differential equations with polynomial right-hand sides. This transformation provides an approximate linearization in a higher-dimensional space through the exact embedding of polynomial nonlinearities into an infinite-dimensional linear system, which is then truncated to obtain a finite-dimensional representation with an additive error. To the best of our knowledge, no explicit calculation of the error bound has been… CONTINUE READING
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