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Convergence of frozen Gaussian approximation for high‐frequency wave propagation
Author(s) -
Lu Jianfeng,
Yang Xu
Publication year - 2012
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.21384
Subject(s) - gaussian , convergence (economics) , mathematics , high frequency approximation , gaussian process , mathematical analysis , physics , quantum mechanics , scattering , economics , economic growth
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.