Chebyshev expansion on intervals with branch points with application to the root of Kepler's equation: A Chebyshev-Hermite-Padé method (Q2378246)

scientific article

Language	Label	Description	Also known as
English	Chebyshev expansion on intervals with branch points with application to the root of Kepler's equation: A Chebyshev-Hermite-Padé method	scientific article

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instance of

scholarly article

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title

Chebyshev expansion on intervals with branch points with application to the root of Kepler's equation: A Chebyshev-Hermite-Padé method (English)

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published in

Journal of Computational and Applied Mathematics

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publication date

7 January 2009

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zbMATH Keywords

Chebyshev

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Hermite-Padé approximant

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Kepler equation

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author

John P. Boyd

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describes a project that uses

VECTOR_PADE

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cam.2008.02.007

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cites work

Q4856607

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A Chebyshev polynomial interval-searching method (``Lanczos economization'') for solving a nonlinear equation with application to the nonlinear eigenvalue problem

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Q4399935

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Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions

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Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation

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Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding

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Computing real roots of a polynomial in Chebyshev series form through subdivision

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Rootfinding for a transcendental equation without a first guess: polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine

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Algorithm 766: experiments with a weakly stable algorithm for computing Padé-Hermite and simultaneous Padé approximants

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The convergence of Newton-Raphson iteration with Kepler's equation

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Q4315258

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Roots of Polynomials Expressed in Terms of Orthogonal Polynomials

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The special functions and their approximations. Vol. I, II

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

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Summation of asymptotic expansions of multiple-valued functions using algebraic approximants: Application to anharmonic oscillators

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On Quadratic Approximation

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Numerical Polynomial Algebra

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Global convergence of Newton's method on an interval

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Identifiers

zbMATH Open document ID

1152.65024

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Mathematics Subject Classification ID

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10.1016/J.CAM.2008.02.007

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Sitelinks

Mathematics(1 entry)

mardi Publication:2378246