Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods

Journal Article (Journal Article)

The frozen Gaussian approximation, proposed in [J. Lu and X. Yang, Commun. Math. Sci., 9 (2011), pp. 663-683], is an efficient computational tool for high frequency wave propagation. We continue in this paper the development of frozen Gaussian approximation. The frozen Gaussian approximation is extended to general linear strictly hyperbolic systems. Eulerian methods based on frozen Gaussian approximation are developed to overcome the divergence problem of Lagrangian methods. The proposed Eulerian methods can also be used for the Herman-Kluk propagator in quantum mechanics. Numerical examples verify the performance of the proposed methods. © 2012 Society for Industrial and Applied Mathematics.

Full Text

Duke Authors

Cited Authors

  • Lu, J; Yang, X

Published Date

  • September 7, 2012

Published In

Volume / Issue

  • 10 / 2

Start / End Page

  • 451 - 472

Electronic International Standard Serial Number (EISSN)

  • 1540-3467

International Standard Serial Number (ISSN)

  • 1540-3459

Digital Object Identifier (DOI)

  • 10.1137/10081068X

Citation Source

  • Scopus