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MOC
2002
82views more  MOC 2002»
13 years 10 months ago
Lie symmetries and differential Galois groups of linear equations
For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formul...
W. R. Oudshoorn, M. van der Put
CORR
2006
Springer
88views Education» more  CORR 2006»
13 years 11 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. ...
Evelyne Hubert, Alexandre Sedoglavic
FOCM
2008
101views more  FOCM 2008»
13 years 11 months ago
Algorithms for Differential Invariants of Symmetry Groups of Differential Equations
We develop new computational algorithms, based on the method of equivariant moving frames, for classifying the differential invariants of Lie symmetry pseudo-groups of differential...
Jeongoo Cheh, Peter J. Olver, Juha Pohjanpelto
AB
2007
Springer
14 years 2 months ago
Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie 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 equations. ...
Alexandre Sedoglavic
ISSAC
2000
Springer
103views Mathematics» more  ISSAC 2000»
14 years 2 months ago
Computing the Galois group of a polynomial using linear differential equations
Olivier Cormier, Michael F. Singer, Felix Ulmer