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The frozen Gaussian approximation, proposed in [Lu and Yang, [15]], is anefficient computational tool for high frequency wave propagation. We continuein this paper the development of frozen Gaussian approximation. The frozenGaussian approximation is extended to general linear strictly hyperbolicsystems. Eulerian methods based on frozen Gaussian approximation are developedto overcome the divergence problem of Lagrangian methods. The proposed Eulerianmethods can also be used for the Herman-Kluk propagator in quantum mechanics.Numerical examples verify the performance of the proposed methods.

Frozen Gaussian approximation for general linear strictly hyperbolic system: formulation and Eulerian methods