A case study of methods of series summation: Kelvin--Helmholtz instability of finite amplitude

DOI10.1016/S0021-9991(03)00096-2zbMath1018.65001OpenAlexW1975385426MaRDI QIDQ1873435

M. A. H. Khan, Philip G. Drazin, Yves Tourigny

Publication date: 20 May 2003

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9991(03)00096-2

zbMATH Keywords

Padé methodKelvin-Helmholtz instabilityvortex sheetseries summationHermite-Padé approximationBirkhoff-Rott equationprincipal singularity

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Numerical summation of series (65B10)

Related Items

Application of Hermite-Padé approximation for detecting singularities of some boundary value problems ⋮ High-order differential approximants

Cites Work

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• The asymptotic behaviour of algebraic approximants
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• A Study of Singularity Formation in the Kelvin–Helmholtz Instability with Surface Tension
• Numerical Study of Bifurcations by Analytic Continuation of a Function Defined by a Power Series
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