Stokes phenomenon for the prolate spheroidal wave equation

DOI10.1016/j.apnum.2010.05.010zbMath1213.34113OpenAlexW2019946300MaRDI QIDQ608507

Françoise Richard-Jung, Jean Pierre Ramis, Frédéric Fauvet, Jean Thomann

Publication date: 25 November 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.05.010

zbMATH Keywords

asymptoticsordinary differential equationssummabilitycomputer algebraStokes matricesprolate spheroidal wave functionsGalois differential theoryprolate operator

Mathematics Subject Classification ID

Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (6)

An exactly solvable system from quantum optics ⋮ Slepian eigenvalues as tunnelling rates ⋮ New Characterizations for the Eigenvalues of the Prolate Spheroidal Wave Equation ⋮ Picard-Vessiot theory and integrability ⋮ Quantum geometry of resurgent perturbative/nonperturbative relations ⋮ Confluence of meromorphic solutions of \(q\)-difference equations

Uses Software

• Maple
• DESIR

Cites Work

• Resummation of formal series. Solutions of second order linear complex ordinary differential equations near irregular singularities
• Automatic computation of Stokes matrices
• Differential equations with polynomial coefficients
• Unfolding the quartic oscillator
• On the latest version of DESIR-II
• Formal and numerical processes of summation of series solutions of differential equations
• A new friendly method of computing prolate spheroidal wave functions and wavelets
• Formal and numerical computations with resurgent functions
• Some comments on Fourier analysis, uncertainty and modeling
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