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» The Calculus of Algebraic Constructions
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CORR
2006
Springer
117views Education» more  CORR 2006»
14 years 12 months ago
Explicit factors of some iterated resultants and discriminants
In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials...
Laurent Busé, Bernard Mourrain
ECEASST
2006
96views more  ECEASST 2006»
14 years 12 months ago
Optimizing Pattern Matching Compilation by Program Transformation
Motivated by the promotion of rewriting techniques and their use in major industrial applications, we have designed Tom: a pattern matching layer on top of conventional programming...
Emilie Balland, Pierre-Etienne Moreau
JACM
2000
119views more  JACM 2000»
14 years 11 months ago
A subdivision-based algorithm for the sparse resultant
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
John F. Canny, Ioannis Z. Emiris
FOCM
2002
108views more  FOCM 2002»
14 years 11 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
SIAMSC
2010
121views more  SIAMSC 2010»
14 years 10 months ago
Extrapolated Implicit-Explicit Time Stepping
This paper constructs extrapolated implicit-explicit time stepping methods that allow one to efficiently solve problems with both stiff and nonstiff components. The proposed meth...
Emil M. Constantinescu, Adrian Sandu