Convergence of frozen Gaussian approximation for high-frequency wave propagation
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2012-06-01
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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.
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Lu, J, and X Yang (2012). Convergence of frozen Gaussian approximation for high-frequency wave propagation. Communications on Pure and Applied Mathematics, 65(6). pp. 759–789. 10.1002/cpa.21384 Retrieved from https://hdl.handle.net/10161/14066.
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Jianfeng Lu
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science, machine learning, and other related fields.
More specifically, his current research focuses include:
High dimensional PDEs; generative models and sampling methods; control and reinforcement learning; electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis.
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