Sciweavers

75 search results - page 2 / 15
» Chebyshev expansions for solutions of linear differential eq...
Sort
View
CDC
2009
IEEE
176views Control Systems» more  CDC 2009»
13 years 8 months ago
A characterization of solution sets of LTI differential equations
Abstract— We prove that a controllable set of smooth trajectories is the solution set of a constant coefficient linear differential equation if and only if it is linear, time in...
Jean-Charles Delvenne, Tzvetan Ivanov
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...
SIAMSC
2010
136views more  SIAMSC 2010»
13 years 1 days ago
A Krylov Method for the Delay Eigenvalue Problem
Abstract. The Arnoldi method is currently a very popular algorithm to solve large-scale eigenvalue problems. The main goal of this paper is to generalize the Arnoldi method to the ...
Elias Jarlebring, Karl Meerbergen, Wim Michiels
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...