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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
ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
13 years 12 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
ISSAC
2009
Springer
141views Mathematics» more  ISSAC 2009»
13 years 12 months ago
Algorithms for regular solutions of higher-order linear differential systems
We study systems of higher-order linear differential equations having a regular singularity at the origin. Using the properties of matrix polynomials, we develop efficient method...
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bach...
CORR
2006
Springer
101views Education» more  CORR 2006»
13 years 5 months ago
Fast computation of power series solutions of systems of differential equations
We propose algorithms for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary ...
Alin Bostan, Frédéric Chyzak, Fran&c...
ISSAC
2007
Springer
147views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Differential equations for algebraic functions
It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their po...
Alin Bostan, Frédéric Chyzak, Bruno ...