Numerical, perturbative and Chebyshev inversion of the incomplete elliptic integral of the second kind
From MaRDI portal
Publication:434656
DOI10.1016/j.amc.2011.12.021zbMath1243.65035OpenAlexW2092470208MaRDI QIDQ434656
Publication date: 16 July 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.021
homotopy continuationChebyshev polynomial approximationincomplete elliptic integralinverse elliptic integral
Related Items
On the application of a Krylov subspace spectral method to poroacoustic shocks in inhomogeneous gases, The Schwarzian-Newton method for solving nonlinear equations, with applications, Four ways to compute the inverse of the complete elliptic integral of the first kind, Internal gravity wave radiation from a stratified turbulent wake, Unconditionally Energy Stable Schemes for the Inextensible Interface Problem with Bending
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical computation of real or complex elliptic integrals
- Precise and fast computation of a general incomplete elliptic integral of second kind by half and double argument transformations
- New series for the cosine lemniscate function and the polynomialization of the lemniscate integral
- A prolate-element method for nonlinear PDEs on the sphere
- Rootfinding for a transcendental equation without a first guess: polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine
- Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding
- Computing elliptic integrals by duplication
- Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms
- Numerical experiments on the accuracy of the Chebyshev-Frobenius companion matrix method for finding the zeros of a truncated series of Chebyshev polynomials
- Numerical calculation of elliptic integrals and elliptic functions.II
- Numerical calculation of elliptic integrals and elliptic functions
- Computing the zeros of a Fourier series or a Chebyshev series or general orthogonal polynomial series with parity symmetries
- Computing real roots of a polynomial in Chebyshev series form through subdivision with linear testing and cubic solves
- Computing real roots of a polynomial in Chebyshev series form through subdivision
- Prolate spheroidal wavefunctions, quadrature and interpolation
- Finding the Zeros of a Univariate Equation: Proxy Rootfinders, Chebyshev Interpolation, and the Companion Matrix
- Piecewise-smooth chebfuns
- Algorithm 577: Algorithms for Incomplete Elliptic Integrals [S21]
- Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding
- Series expansions of symmetric elliptic integrals
- Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions---prolate elements
- On the Series Expansion Method for Computing Incomplete Elliptic Integrals of the First and Second Kinds
- Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions