Rootfinding for a transcendental equation without a first guess: Polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine-Reference-Cited by-同舟云学术

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

Published:2007-01 Issue:1 Volume:57 Page:12-18
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Boyd John P.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference19 articles.

1. An analytical solution to Kepler's equation using Chebyshev approximation;Barker;Adv. Astronaut. Sci.,2003

2. The nonlinear equatorial Kelvin wave;Boyd;J. Phys. Oceanogr.,1980

3. The energy spectrum of fronts: The time evolution of shocks in Burgers' equation;Boyd;J. Atmos. Sci.,1992

4. A Chebyshev polynomial interval-searching method (“Lanczos economization”) for solving a nonlinear equation with application to the nonlinear eigenvalue problem;Boyd;J. Comput. Phys.,1995

5. Chebyshev and Fourier Spectral Methods;Boyd,2001

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Near-term quantum algorithm for computing molecular and materials properties based on recursive variational series methods;Physical Review A;2023-08-25

2. A new solution approach via analytical approximation of the elliptic Kepler equation;Acta Astronautica;2023-01

3. Transcendental equation solver: A novel neural network for solving transcendental equation;Applied Soft Computing;2022-03

4. Fast Switch and Spline Function Inversion Algorithm with Multistep Optimization and k-Vector Search for Solving Kepler’s Equation in Celestial Mechanics;Mathematics;2020-11-12

5. Hamiltonian Simulation by Qubitization;Quantum;2019-07-12