Spectral algorithms for multiple scale localized eigenfunctions in infinitely long, slightly bent quantum waveguides
From MaRDI portal
Publication:6155128
DOI10.1016/j.cpc.2017.10.015OpenAlexW2768761748MaRDI QIDQ6155128
Paolo Amore, John P. Boyd, Francisco M. Fernández
Publication date: 9 June 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2017.10.015
Cites Work
- Unnamed Item
- Unnamed Item
- Spectral methods and mappings for evolution equations on the infinite line
- High-order unconditionally stable FC-AD solvers for general smooth domains. II: Elliptic, parabolic and hyperbolic PDEs; theoretical considerations
- An application of the Arnoldi method to a geophysical fluid dynamics problem
- Chebyshev domain truncation is inferior to Fourier domain truncation for solving problems on an infinite interval
- The rate of convergence of Fourier coefficients for entire functions of infinite order with application to the Weideman-Cloot Sinh-mapping for pseudospectral computations on an infinite interval
- The Crane equation \(u u_{x x} = - 2\): the general explicit solution and a case study of Chebyshev polynomial series for functions with weak endpoint singularities
- Fourier embedded domain methods: Extending a function defined on an irregular region to a rectangle so that the extension is spatially periodic and \(C^{\infty}\)
- Spectral methods using rational basis functions on an infinite interval
- A fast algorithm for two-dimensional elliptic problems
- Traps and snares in eigenvalue calculations with application to pseudospectral computations of ocean tides in a basin bounded by meridians
- Modal preconditioning of Galerkin spectral methods: dual bookkeeping for the Delves-Freeman iteration
- A Fast and Well-Conditioned Spectral Method
- Fast Inexact Implicitly Restarted Arnoldi Method for Generalized Eigenvalue Problems with Spectral Transformation
- The Exponentially Convergent Trapezoidal Rule
- Spectral Methods
- Spectral Methods in MATLAB
- Schwarz-Christoffel Mapping
- Correcting Three Errors in Kantorovich & Krylov′s <em>Approximate Methods of Higher Analysis</em>