Chebyshev expansion on intervals with branch points with application to the root of Kepler’s equation: A Chebyshev–Hermite–Padé method

John P. Boyd

Type: Article

Publication Date: 2008-02-20

Citations: 18

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

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Locations

Journal of Computational and Applied Mathematics - View

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+	Numerical Polynomial Algebra	2004	Hans J. Stetter
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+	Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation	2003	John P. Boyd
+	Summation of asymptotic expansions of multiple-valued functions using algebraic approximants: Application to anharmonic oscillators	1998	A.V. Sergeev David Z. Goodson
+	A Chebyshev Polynomial Interval-Searching Method ("Lanczos Economization") for Solving a Nonlinear Equation with Application to the Nonlinear Eigenvalue Problem	1995	John P. Boyd
+	On Quadratic Approximation	1974	Robert E. Shafer
+ PDF Chat	Algorithm 766: experiments with a weakly stable algorithm for computing Padé-Hermite and simultaneous Padé approximants	1997	Stan Cabay Anthony R. Jones George Labahn
+	The Special Functions and Their Approximations	1972	C. W. Clenshaw Yudell L. Luke
+	Computing real roots of a polynomial in Chebyshev series form through subdivision	2005	John P. Boyd
+	Rootfinding for a transcendental equation without a first guess: Polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine	2006	John P. Boyd