Exponentially accurate solution tracking for nonlinear ODEs, the higher order Stokes phenomenon and double transseries resummation

DOI10.1088/0951-7715/25/6/1559zbMath1254.30047OpenAlexW2082668552MaRDI QIDQ2895576

C. J. Howls, Adri B. Olde Daalhuis

Publication date: 3 July 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/151867/1/nonlinearHS3Revised14312.pdf

zbMATH Keywords

numerical solversecond order nonlinear ordinary differential equationhigher order Stokes phenomenon

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Ordinary differential equations on complex manifolds (34M45) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Asymptotic representations in the complex plane (30E15) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (4)

Foundational aspects of singular integrals ⋮ Stokes phenomena in discrete Painlevé II ⋮ First-order general differential equation for multi-level asymptotics at higher levels and recurrence relationship of singulants ⋮ Nonlinear q-Stokes phenomena for q-Painlevé I

This page was built for publication: Exponentially accurate solution tracking for nonlinear ODEs, the higher order Stokes phenomenon and double transseries resummation