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CORR
2006
Springer

Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries

13 years 3 months ago
Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equation. We apply this principle by finding dilatations and translations that are Lie point symmetries of considered ordinary differential system. By rewriting original problem in an invariant coordinates set for these symmetries, one can reduce the involved number of parameters. This process is classically call nondimensionalisation. We present an algorithm based on this standpoint and show that its arithmetic complexity is polynomial in input's size.
Evelyne Hubert, Alexandre Sedoglavic
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CORR
Authors Evelyne Hubert, Alexandre Sedoglavic
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