An algorithm of multisummation of formal power series, solutions of linear ODEs.

DOI10.1016/S0378-4754(96)00016-XzbMath1037.68545OpenAlexW2017540704MaRDI QIDQ1565823

N. Delaunay

Publication date: 27 May 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(96)00016-x

zbMATH Keywords

Laplace transformcomputer algebraasymptotic theoryformal power seriesirregular singularitiescomplex ordinary differential equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Related Items

Automatic computation of Stokes matrices ⋮ Formal and numerical computations with resurgent functions

Cites Work

• Padé-type approximation and general orthogonal polynomials
• Resummation of formal series. Solutions of second order linear complex ordinary differential equations near irregular singularities
• Multisummable functions
• On formal series solutions of polynomial difference equations
• Formal solutions of linear meromorphic differential systems and summability
• Asymptotic solutions of initial value problems of ordinary differential equations with a small parameter in the derivative. II
• Théorèmes d’indices Gevrey pour les équations différentielles ordinaires
• Summation of Formal Power Series Through Iterated Laplace Integrals.
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