Convergence of frozen Gaussian approximation for high frequency wave propagation

Details Convergence of frozen Gaussian approximation for high frequency wave propagation Convergence of frozen Gaussian approximation for high frequency wave propagation

2010-12-22

arxiv.org/abs/1012.5055v1

Mathematics

Numerical Analysis

27 pages

Scientific paper

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 system, we establish the rigorous convergence result for frozen Gaussian approximation. As a byproduct, higher order frozen Gaussian approximation is developed.

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