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Convergence of frozen Gaussian approximation for high-frequency wave propagation
Article first published online: 17 NOV 2011
DOI: 10.1002/cpa.21384
Copyright © 2011 Wiley Periodicals, Inc.
1097-0312/asset/cover.gif?v=1&s=27e2b2132052ff78aa82eddfab7608281350adb9 "Communications on Pure and Applied Mathematics")
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How to Cite
Lu, J. and Yang, X. (2012), Convergence of frozen Gaussian approximation for high-frequency wave propagation. Comm. Pure Appl. Math., 65: 759–789. doi: 10.1002/cpa.21384
Publication History
- Issue published online: 21 MAR 2012
- Article first published online: 17 NOV 2011
- Manuscript Received: DEC 2010
- Abstract
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Abstract
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.