Publication: Multivariate radial basis interpolation for solving quantum fluid dynamical equations
Program
KU-Authors
KU Authors
Co-Authors
Hu, XG
Ho, TS
Rabitz, H
Publication Date
Language
Type
Embargo Status
Journal Title
Journal ISSN
Volume Title
Alternative Title
Abstract
This paper proposes a new numerical technique for solving the quantum fluid dynamical equations within the Lagrangian description. An efficient and accurate numerical scheme is achieved by taking advantage of the smooth field variables obtained via the Madelung transformation combined with the radial basis function interpolation. Applications to the 21) coherent state and a 2D model of NO2 photodissociation dynamics show that the present method rivals the split-operator method in both efficiency and accuracy. The advantage of the new algorithm as a computational tool is expected to prevail for high-dimensional systems.
Source
Publisher
Elsevier
Subject
Mathematics, applied
Citation
Has Part
Source
Computers & Mathematics With Applications
Book Series Title
Edition
DOI
10.1016/S0898-1221(01)00303-0