First-order general differential equation for multi-level asymptotics at higher levels and recurrence relationship of singulants
DOI10.5802/crmath.264zbMath1492.34089OpenAlexW4206352773WikidataQ114013402 ScholiaQ114013402MaRDI QIDQ2073627
Publication date: 3 February 2022
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/crmath.264
Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stokes' phenomenon; smoothing a Victorian discontinuity
- A comparison of numerical and analytical methods for the reduced wave equation with multiple spatial scales
- The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series
- A hyperasymptotic perturbative method for computing the radiation coefficient for weakly nonlocal solitary waves
- Asymptotics beyond all orders and Stokes lines in nonlinear differential-difference equations
- Exponentially accurate solution tracking for nonlinear ODEs, the higher order Stokes phenomenon and double transseries resummation
- On the higher–order Stokes phenomenon
- On the non-universality of the error function in the smoothing of stokes discontinuities
- Exponential asymptotics of a fifth-order partial differential equation
- Waves near Stokes lines
- Stokes’s phenomenon for superfactorial asymptotic series
- Smoothing of Stokes discontinuities
- Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations
- On the Theory of Complex Rays
- Hyperasymptotics
- Uniform asymptotic smoothing of Stokes’s discontinuities
- Stokes Phenomenon and Matched Asymptotic Expansions
- Exponential Asymptotics for Thin Film Rupture
- Nonlinear q-Stokes phenomena for q-Painlevé I
- Hyperasymptotics and the Linear Boundary Layer Problem: Why Asymptotic Series Diverge
- Why is a shock not a caustic? The higher-order Stokes phenomenon and smoothed shock formation
- Exponential asymptotics and Stokes lines in a partial differential equation
- Error estimates for asymptotic representations of integrals
This page was built for publication: First-order general differential equation for multi-level asymptotics at higher levels and recurrence relationship of singulants