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Lu, Jianfeng; Yang, Xu

Convergence of frozen Gaussian approximation for high-frequency wave propagation. (English) Zbl 1387.35400

Commun. Pure Appl. Math. 65, No. 6, 759-789 (2012).
Summary: 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.

Cited in 1 Review
Cited in 21 Documents

MSC:

35L40 First-order hyperbolic systems
35B40 Asymptotic behavior of solutions to PDEs
35B45 A priori estimates in context of PDEs
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Full Text: DOI arXiv

References:

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