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A Verified ODE Solver and the Lorenz Attractor

A rigorous numerical algorithm, formally verified with Isabelle/HOL, is used to certify the computations that Tucker used to prove chaos for the Lorenz attractor. The verification is based on a formalization of a diverse variety of mathematics and algorithms. Formalized mathematics include ordinary...

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Vydáno v:J Autom Reason
Hlavní autor: Immler, Fabian
Médium: Artigo
Jazyk:Inglês
Vydáno: Springer Netherlands 2018
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC6044317/
https://ncbi.nlm.nih.gov/pubmed/30069071
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s10817-017-9448-y
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