High-order differential approximants

DOI10.1016/S0377-0427(02)00561-7zbMath1013.65003MaRDI QIDQ1860508

M. A. H. Khan

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplespolynomial coefficientssingularity analysisseries summationsummation of power seriesdifferential approximantshigh-order linear differential equationPadé-Hermite approximantpolylogarithmic functions

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Computation of special functions and constants, construction of tables (65D20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical summation of series (65B10) Numerical approximation and evaluation of special functions (33F05) Higher logarithm functions (33B30)

Related Items (2)

Counting Pop-Stacked Permutations in Polynomial Time ⋮ Application of Hermite-Padé approximation for detecting singularities of some boundary value problems

Cites Work

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• A case study of methods of series summation: Kelvin--Helmholtz instability of finite amplitude
• The dynamics of Padé approximation
• Laminar flow in symmetrical channels with slightly curved walls, I. On the Jeffery-Hamel solutions for flow between plane walls
• Bifurcations of two-dimensional channel flows
• A recursive algorithm for Padé-Hermite approximations
• Deducing the Properties of Singularities of Functions from their Taylor Series Coefficients
• Summation of asymptotic expansions of multiple-valued functions using algebraic approximants: Application to anharmonic oscillators
• Numerical Study of Bifurcations by Analytic Continuation of a Function Defined by a Power Series

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