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» Hypergeometric series solutions of linear operator equations
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FOCM
2008
88views more  FOCM 2008»
13 years 8 months ago
Convergence of the Magnus Series
The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals...
Per Christian Moan, Jitse Niesen
SIAMMA
2011
98views more  SIAMMA 2011»
13 years 4 months ago
Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors
It has been unknown since the time of Euler whether or not time-periodic sound wave propagation is physically possible in the compressible Euler equations, due mainly to the ubiqui...
Blake Temple, Robin Young
ISSAC
2011
Springer
225views Mathematics» more  ISSAC 2011»
13 years 21 days ago
On the structure of compatible rational functions
A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-...
Shaoshi Chen, Ruyong Feng, Guofeng Fu, Ziming Li
PCS
2011
13 years 4 months ago
The parametric solution of underdetermined linear ODEs
The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its applicability to the parametric solution of underdetermined linear ordinary di...
Thomas Wolf