Convergent Power Series for Boundary Value Problems and Eigenproblems with Application to Atmospheric and Oceanic Tides

DOI10.4169/amer.math.monthly.124.4.306zbMath1391.34024OpenAlexW2601208596WikidataQ58292326 ScholiaQ58292326MaRDI QIDQ4575248

John P. Boyd, Houjun Wang

Publication date: 13 July 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.124.4.306

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Meteorology and atmospheric physics (86A10)

Uses Software

• Maple

Cites Work

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• Complex coordinate methods for hydrodynamic instabilities and Sturm- Liouville eigenproblems with an interior singularity
• Traps and snares in eigenvalue calculations with application to pseudospectral computations of ocean tides in a basin bounded by meridians
• Finding the Zeros of a Univariate Equation: Proxy Rootfinders, Chebyshev Interpolation, and the Companion Matrix
• Solving Transcendental Equations
• The Exponentially Convergent Trapezoidal Rule
• A Proof, Based on the Euler Sum Acceleration, of the Recovery of an Exponential (Geometric) Rate of Convergence for the Fourier Series of a Function with Gibbs Phenomenon
• Fast Fourier Methods in Computational Complex Analysis
• Sturm–Liouville eigenproblems with an interior pole
• A Chebyshev polynomial method for computing analytic solutions to eigenvalue problems with application to the anharmonic oscillator
• An Extended Padé Procedure for Constructing Global Approximations from Asymptotic Expansions: An Explication with Examples
• Spectral Methods in MATLAB
• Correcting Three Errors in Kantorovich & Krylov′s <em>Approximate Methods of Higher Analysis</em>
• Robust Padé Approximation via SVD
• The Blasius Function in the Complex Plane
• On the Stability Problem for Shallow Spherical Shells
• The Eigenfunctions of Laplace's Tidal Equations over a Sphere
• A review of algebraic manipulative programs and their application
• Computers in Solid Mechanics:--A Case History
• The oscillations of the atmosphere