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Convergence of frozen Gaussian approximation for high-frequency wave propagation

Publication ,  Journal Article
Lu, J; Yang, X
Published in: Communications on Pure and Applied Mathematics
June 1, 2012

The frozen Gaussian approximation provides a highly efficient computational method for high-frequency wave propagation. The derivation of the method is based on asymptotic analysis. In this paper, for general linear strictly hyperbolic systems, we establish the rigorous convergence result for frozen Gaussian approximation. As a byproduct, higher-order frozen Gaussian approximation is developed. © 2011 Wiley Periodicals, Inc.

Duke Scholars

Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

June 1, 2012

Volume

65

Issue

6

Start / End Page

759 / 789

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

APA
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MLA
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Lu, J., & Yang, X. (2012). Convergence of frozen Gaussian approximation for high-frequency wave propagation. Communications on Pure and Applied Mathematics, 65(6), 759–789. https://doi.org/10.1002/cpa.21384
Lu, J., and X. Yang. “Convergence of frozen Gaussian approximation for high-frequency wave propagation.” Communications on Pure and Applied Mathematics 65, no. 6 (June 1, 2012): 759–89. https://doi.org/10.1002/cpa.21384.
Lu J, Yang X. Convergence of frozen Gaussian approximation for high-frequency wave propagation. Communications on Pure and Applied Mathematics. 2012 Jun 1;65(6):759–89.
Lu, J., and X. Yang. “Convergence of frozen Gaussian approximation for high-frequency wave propagation.” Communications on Pure and Applied Mathematics, vol. 65, no. 6, June 2012, pp. 759–89. Scopus, doi:10.1002/cpa.21384.
Lu J, Yang X. Convergence of frozen Gaussian approximation for high-frequency wave propagation. Communications on Pure and Applied Mathematics. 2012 Jun 1;65(6):759–789.
Journal cover image

Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

June 1, 2012

Volume

65

Issue

6

Start / End Page

759 / 789

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics