Frozen Gaussian approximation for high frequency wave propagation in periodic media-Reference-Cited by-同舟云学术

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Frozen Gaussian approximation for high frequency wave propagation in periodic media

Published:2018-11-19 Issue:3-4 Volume:110 Page:113-135
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Delgadillo Ricardo¹,Lu Jianfeng²,Yang Xu¹

Affiliation:

1. Department of Mathematics, University of California, Santa Barbara, CA 93106, USA. E-mails: rdelgadi@math.ucsb.edu, xuyang@math.ucsb.edu

2. Departments of Mathematics, Physics, and Chemisty, Duke University, Box 90320, Durham, NC 27708, USA. E-mail: jianfeng@math.duke.edu

Publisher

IOS Press

Subject

General Mathematics

Reference41 articles.

1. On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime;Bao;J. Comput. Phys.,2002

2. Semiclassical limit for the Schrödinger–Poisson equation in a crystal;Bechouche;Comm. Pure Appl. Math.,2001

3. A. Bensoussan, J.L. Lions and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, North-Holland Publishing Co., Amsterdam-New York, 1978.

4. Quantal phase factors accompanying adiabatic changes;Berry;Proc. Roy. Soc. Lond. A,1984

5. Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials;Carles;Discrete Contin. Dyn. Syst. Ser. B,2012

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Optimal Error Estimate of the Extended-WKB Approximation to the High Frequency Wave-Type Equation in the Semi-classical Regime;Journal of Scientific Computing;2020-04

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