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Smoothing effect and exponential stability of discrete-time Schrödinger equation with fractional regularization term.
- Source :
-
International Journal of Computer Mathematics . Jun2022, Vol. 99 Issue 6, p1201-1223. 23p. - Publication Year :
- 2022
-
Abstract
- This paper investigates the discrete-time problem of the regularized Schrödinger equation with fractional Laplacian term in bounded domains. We proved the exponential stability and the Kato smoothing effect of the discrete-time Crank–Nicolson scheme. The proofs are based on uniform estimates of the semi-discrete resolvent obtained by the Z-Transformation. We constructed a well-posed approximation scheme and carried out numerical simulations to verify numerically the exponential stability and the smoothing effect. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EXPONENTIAL stability
*STATISTICAL smoothing
Subjects
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 99
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 156522740
- Full Text :
- https://doi.org/10.1080/00207160.2021.1959559