On optimal truncation of divergent series solutions of nonlinear differential systems

DOI10.1098/rspa.1999.0387zbMath0945.34071arXivmath/0608410OpenAlexW1590421763MaRDI QIDQ4260273

Martin D. Kruskal, Ovidiu Costin

Publication date: 19 September 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608410

zbMATH Keywords

asymptotic solutionsirregular singularitynonlinear differential systemsStokes lineoptimal approximation problembalanced Borel sumBerry smoothingdivergent series solutions

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

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