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ISSAC
2000
Springer
103views Mathematics» more  ISSAC 2000»
10 years 3 months ago
Computing the Galois group of a polynomial using linear differential equations
Olivier Cormier, Michael F. Singer, Felix Ulmer
MOC
2002
82views more  MOC 2002»
9 years 11 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
ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
10 years 3 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
SIAMCO
2000
99views more  SIAMCO 2000»
9 years 11 months ago
Spectral Analysis of Fokker--Planck and Related Operators Arising From Linear Stochastic Differential Equations
We study spectral properties of certain families of linear second-order differential operators arising from linear stochastic differential equations. We construct a basis in the Hi...
Daniel Liberzon, Roger W. Brockett
ISSAC
2007
Springer
99views Mathematics» more  ISSAC 2007»
10 years 6 months ago
Computing monodromy via parallel homotopy continuation
Numerical homotopy continuation gives a powerful tool for the applied scientist who seeks solutions to a system of polynomial equations. Techniques from numerical homotopy continu...
Anton Leykin, Frank Sottile
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