Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902656 | Applied Numerical Mathematics | 2018 | 15 Pages |
Abstract
In this paper, we propose a conservative local discontinuous Galerkin method for a one-dimensional nonlinear Schrödinger equation. By using special generalized alternating numerical fluxes, we establish the optimal rate of convergence O(hk+1), with polynomial of degree k and grid size h. Meanwhile, we show that this method preserves the charge conservation law. Numerical experiments verify our theoretical result.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Jialin Hong, Lihai Ji, Zhihui Liu,