Convergence of frozen Gaussian approximation for high-frequency wave propagation
Repository Usage Stats
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.
Published Version (Please cite this version)10.1002/cpa.21384
Publication InfoLu, Jianfeng; & Yang, X (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.
This is constructed from limited available data and may be imprecise. To cite this article, please review & use the official citation provided by the journal.
More InfoShow full item record
Associate Professor of Mathematics
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other related fields.More specifically, his current research focuses include:Electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis; rare events and sampling techniques.