Abstract
We consider a moving shutter and non-deterministic generalization of the difiraction in time model introduced by Moshinsky several decades ago to study a class of quantum transients. We first develop a moving-mesh finite element method (FEM) to simulate the determisitic version of the model. We then apply the FEM and multilevel Monte Carlo (MLMC) algorithm to the stochastic moving-domain model for simulation of approximate statistical moments of the density profile of the stochastic transients.
Original language | American English |
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Pages (from-to) | 257-272 |
Number of pages | 16 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 24 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2019 |
Bibliographical note
Publisher Copyright:© 2018 American Institute of Mathematical Sciences.
NREL Publication Number
- NREL/JA-2C00-72812
Keywords
- Difiraction In Time
- Finite Element Method
- Monte Carlo
- Moving-Mesh
- Multilevel Monte Carlo