Long title on the combinatorial joys of formal power series Author Number One and Deuxi`eme Auteur

In the differential case, when k = 0 and the characteristic is 0, the algorithms in [5, 11] compute an invertible ma- trix of power series solution of the homogeneous equation by

SIBUYA, Multisummability of formal power series solutions of linear ordinary differential equations, Asymptotic Analysis, 5 (1991), 27-45..

OUCHI, Asymptotic behaviour of singular solutions of linear partial differential equations in the complex domain, J.. OUCHI, An integral representation of singular solutions of

Jadis, mystérieux, un problème bloquait Tout l’admirable procédé, l’œuvre grandiose Que Pythagore découvrit aux anciens Grecs..

Formal solutions of the heat equation, and their association to solutions obtained by inverse Laplace transform are studied in §3.. It is shown that power series are

We prove that a cyclically valued ring is a subring of a power series ring k[[C, θ]] with twisted multiplication if and only if there exist invertible monomials of every degree, and

In this paper we associate to a linear differential equation with coefficients in the field of Laurent formal power series a new geometric object, a spectrum in the sense of

Keywords Averaging · High-order stroboscopic averaging · Highly oscillatory problems · Hamiltonian problems · Multiscale numerical methods · Numerical integrators · Formal series