Computational Complexity of Smooth Differential Equations

The computational complexity of the solutions $h$ to the ordinary differential equation $h(0)=0$, $h'(t) = g(t, h(t))$ under various assumptions on the function $g$ has been investigated. Kawamura showed in 2010 that the solution $h$ can be PSPACE-hard even if $g$ is assumed to be Lipschitz con...

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Bibliographic Details
Main Authors: Akitoshi Kawamura, Hiroyuki Ota, Carsten Rösnick, Martin Ziegler
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2014-02-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/960/pdf