Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods
Publication
, Journal Article
Lu, J; Yang, X
Published in: Multiscale Modeling and Simulation
September 7, 2012
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.
Duke Scholars
Published In
Multiscale Modeling and Simulation
DOI
EISSN
1540-3467
ISSN
1540-3459
Publication Date
September 7, 2012
Volume
10
Issue
2
Start / End Page
451 / 472
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Lu, J., & Yang, X. (2012). Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods. Multiscale Modeling and Simulation, 10(2), 451–472. https://doi.org/10.1137/10081068X
Lu, J., and X. Yang. “Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods.” Multiscale Modeling and Simulation 10, no. 2 (September 7, 2012): 451–72. https://doi.org/10.1137/10081068X.
Lu J, Yang X. Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods. Multiscale Modeling and Simulation. 2012 Sep 7;10(2):451–72.
Lu, J., and X. Yang. “Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods.” Multiscale Modeling and Simulation, vol. 10, no. 2, Sept. 2012, pp. 451–72. Scopus, doi:10.1137/10081068X.
Lu J, Yang X. Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods. Multiscale Modeling and Simulation. 2012 Sep 7;10(2):451–472.
Published In
Multiscale Modeling and Simulation
DOI
EISSN
1540-3467
ISSN
1540-3459
Publication Date
September 7, 2012
Volume
10
Issue
2
Start / End Page
451 / 472
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics