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ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
13 years 11 months ago
Fast algorithms for differential equations in positive characteristic
We address complexity issues for linear differential equations in characteristic p > 0: resolution and computation of the p-curvature. For these tasks, our main focus is on al...
Alin Bostan, Éric Schost
JSYML
2011
89views more  JSYML 2011»
12 years 11 months ago
Iterative differential Galois theory in positive characteristic: A model theoretic approach
Abstract. This paper introduces a natural extension of Kolchin’s differential Galois theory to positive characteristic iterative differential fields, generalizing to the non-li...
Javier Moreno
AMC
2005
120views more  AMC 2005»
13 years 4 months ago
ICS: a package for computing involutive characteristic set of algebraic partial differential equation systems
A constructive algorithm for the completion of arbitrary algebraic partial differential equation systems to involutive ones are presented. Based on it, an implementation ICS for c...
Shan-Qing Zhang, Gui-Xu Zhang, Zhi-Bin Li
ISSAC
2005
Springer
81views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Fast algorithms for polynomial solutions of linear differential equations
Alin Bostan, Thomas Cluzeau, Bruno Salvy

Publication
794views
15 years 1 months ago
A Fast Implementation of The Level Set Method Without Solving Partial Differential Equations
"The level set method is popular in the numerical implementation of curve evolution, but its high computational cost is a bottleneck for real-time applications. In this report...
Yonggang Shi, William Clem Karl