Shafer (Hermite-Padé) approximants for functions with exponentially small imaginary part with application to equatorial waves with critical latitude.

DOI10.1016/S0096-3003(00)00141-7zbMath1215.76017OpenAlexW2170977053MaRDI QIDQ1855149

Andrei Natarov, John P. Boyd

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00141-7

zbMATH Keywords

hydrodynamic instabilityperturbation seriesHermite-Padé approximantsequatorial wavesexponential smallness

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Meteorology and atmospheric physics (86A10) Numerical integration (65D30) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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Cites Work

• Summation of the eigenvalue perturbation series by multi-valued Pade approximants: application to resonance problems and double wells
• A Sturm–Liouville Eigenproblem of the Fourth Kind: A Critical Latitude with Equatorial Trapping
• On Quadratic Approximation