On truncated Taylor series and the position of their spurious zeros

DOI10.1016/j.apnum.2005.02.009zbMath1084.76062OpenAlexW1990056466MaRDI QIDQ2581573

Søren Christiansen, Per A. Madsen

Publication date: 10 January 2006

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2005.02.009

zbMATH Keywords

radius of convergencegravity water waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Power series (including lacunary series) in one complex variable (30B10) Complex variables methods applied to problems in fluid mechanics (76M40)

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Uses Software

• Maple

Cites Work

• A supplementary bibliography: on roots of polynomials
• A bibliography on roots of polynomials
• An updated supplementary bibliography on roots of polynomials
• Zeros of sections of power series
• Upperbounds for roots of polynomials
• Accuracy and convergence of velocity formulations for water waves in the framework of Boussinesq theory
• A Generalization of a Theorem of Bôcher
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