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Runge-Kutta and Networks

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 نشر من قبل Eugene Lerman
 تاريخ النشر 2019
  مجال البحث الهندسة المعلوماتية
والبحث باللغة English




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We categorify the RK family of numerical integration methods (explicit and implicit). Namely we prove that if a pair of ODEs are related by an affine map then the corresponding discrete time dynamical systems are also related by the map. We show that in practice this works well when the pairs of related ODEs come from the coupled cell networks formalism and, more generally, from fibrations of networks of manifolds.



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