Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775867 | Applied Mathematics and Computation | 2017 | 19 Pages |
Abstract
In this paper, we derive several error estimates that are pertinent to the study of Chebyshev-type spectral approximations on the real line. The results are applied to construct a stable and accurate pseudo-spectral Chebyshev scheme for the nonlinear Schrödinger equation. The new technique has several computational advantages as compared to Fourier and Hermite-type spectral schemes, described in the literature (see e.g., [1]-[3]. Similar to Hermite-type methods, we do not require domain truncation and/or use of artificial boundary conditions. At the same time, the computational complexity is comparable to the best Fourier-type spectral methods described in the literature.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Sergey Shindin, Nabendra Parumasur, Saieshan Govinder,