| dc.contributor.author | Tao, Zhanjing | |
| dc.contributor.author | Huang, Juntao | |
| dc.contributor.author | Liu, Yuan | |
| dc.contributor.author | Guo, Wei | |
| dc.contributor.author | Cheng, Yingda | |
| dc.date.accessioned | 2023-01-09T16:59:40Z | |
| dc.date.available | 2023-01-09T16:59:40Z | |
| dc.date.issued | 2021-01-25 | |
| dc.identifier.citation | Tao, Z., Huang, J., Liu, Y. et al. An Adaptive Multiresolution Ultra-weak Discontinuous Galerkin Method for Nonlinear Schrödinger Equations. Commun. Appl. Math. Comput. 4, 60–83 (2022). https://doi.org/10.1007/s42967-020-00096-0 | |
| dc.identifier.issn | 2661-8893 | |
| dc.identifier.uri | https://doi.org/10.1007/s42967-020-00096-0 | |
| dc.identifier.uri | https://soar.wichita.edu/handle/10057/24859 | |
| dc.description | Click on the DOI to access this article (may not be free). | |
| dc.description.abstract | This paper develops a high-order adaptive scheme for solving nonlinear Schrödinger equations. The solutions to such equations often exhibit solitary wave and local structures, which make adaptivity essential in improving the simulation efficiency. Our scheme uses the ultra-weak discontinuous Galerkin (DG) formulation and belongs to the framework of adaptive multiresolution schemes. Various numerical experiments are presented to demonstrate the excellent capability of capturing the soliton waves and the blow-up phenomenon. | |
| dc.language.iso | en_US | |
| dc.publisher | Springer Link | |
| dc.relation.ispartofseries | Communications on Applied Mathematics and Computation | |
| dc.relation.ispartofseries | Volume 4, No. 1 | |
| dc.subject | Multiresolution | |
| dc.subject | Sparse grid | |
| dc.subject | Ultra-weak discontinuous Galerkin method | |
| dc.subject | Schrödinger equation | |
| dc.subject | Adaptivity | |
| dc.title | An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrödinger equations | |
| dc.type | Article | |
| dc.rights.holder | © 2022 Springer Nature | |
