The Devil's Invention: Asymptotic, Superasymptotic and Hyperasymptotic Series

1999/03/01 by John P. Boyd · 200 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Asymptotic analysis #Asymptotic expansion #Divergence (linguistics) #Geometry #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Partial differential equation #Quantum chaos and dynamical systems #Scaling #Series (stratigraphy) #Singular perturbation

paper · pdf · doi:10.1023/a:1006145903624

published in Acta Applicandae Mathematica 56(1), 1-98 (Springer Science and Business Media LLC)

crossref issued 1999/03/01 · crossref published 1999/03/01 · crossref published-print 1999/03/01 · openalex publication_date 1999/03/01 · crossref created 2002/12/22 · crossref deposited 2025/05/16 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/30

Citations

• On Borel summation and Stokes phenomena for rank-1 nonlinear systems of ordinary differential equations
• The evaluation and estimation of the coefficients in the Chebyshev series expansion of a function
• Three Notes on the Quantum Theory of Aperiodic Effects
• Computation of the Complex Error Function
• Dynamics of solitons in nearly integrable systems

Cited by

• Quantum and semiclassical phase functions for the quantization of symmetric oscillators
• Fractal asymptotics
• Unmixing in random flows
• New gravity–capillary waves at low speeds. Part 1. Linear geometries
• Asymptotic expansion [wikipedia]