A Chebyshev polynomial method for computing analytic solutions to eigenvalue problems with application to the anharmonic oscillator
From MaRDI portal
Publication:3876246
DOI10.1063/1.523810zbMath0436.34018OpenAlexW1976011360MaRDI QIDQ3876246
Publication date: 1978
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.523810
numerical resultsanharmonic oscillatorChebyshev polynomial methodanalytic solutions to eigenvalue problemscomputing analytic solutions
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for ordinary differential equations (65L99) Numerical analysis in abstract spaces (65J99)
Related Items
The barotropic Rossby waves with topography on the Earth's \(\delta \)-surface, Complex coordinate methods for hydrodynamic instabilities and Sturm- Liouville eigenproblems with an interior singularity, Convergent Power Series for Boundary Value Problems and Eigenproblems with Application to Atmospheric and Oceanic Tides, Sturm–Liouville eigenproblems with an interior pole, Using parity to accelerate Hermite function computations: zeros of truncated Hermite series, Gaussian quadrature and Clenshaw summation, Five themes in Chebyshev spectral methods applied to the regularized Charney eigenproblem: extra numerical boundary conditions, a boundary-layer-resolving change of coordinate, parameterizing a curve which is singular at an endpoint, extending the tau method to log-and-polynomials and finding the roots of a polynomial-and-log approximation, Orthogonal rational functions on a semi-infinite interval, Strongly nonlinear perturbation theory for solitary waves and bions, Asymptotic coefficients of Hermite function series
Cites Work
