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FOCM
2002
108views more  FOCM 2002»
13 years 6 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver
AAECC
2008
Springer
63views Algorithms» more  AAECC 2008»
13 years 6 months ago
Probabilistic algorithms for computing resolvent representations of regular differential ideals
In a previous article [14], we proved the existence of resolvent representations for regular differential ideals. The present paper provides practical algorithms for computing suc...
Thomas Cluzeau, Evelyne Hubert
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 6 months ago
Bit-size estimates for triangular sets in positive dimension
We give bit-size estimates for the coefficients appearing in triangular sets describing positive-dimensional algebraic sets defined over Q. These estimates are worst case upper bo...
Xavier Dahan, Abdulilah Kadri, Éric Schost
DCC
2008
IEEE
14 years 6 months ago
On solving sparse algebraic equations over finite fields
A system of algebraic equations over a finite field is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an unde...
Igor Semaev
ICALP
2009
Springer
14 years 6 months ago
Limits and Applications of Group Algebras for Parameterized Problems
The algebraic framework introduced in [Koutis, Proc. of the 35th ICALP 2008] reduces several combinatorial problems in parameterized complexity to the problem of detecting multili...
Ioannis Koutis, Ryan Williams