Now showing items 1-5 of 5
Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods
(Multiscale Modeling and Simulation, 2012-09-07)
The frozen Gaussian approximation, proposed in [J. Lu and X. Yang, Commun. Math. Sci., 9 (2011), pp. 663-683], is an efficient computational tool for high frequency wave propagation. We continue in this paper the development ...
Frozen Gaussian approximation for high frequency wave propagation in periodic media
Propagation of high-frequency wave in periodic media is a challenging problem due to the existence of multiscale characterized by short wavelength, small lattice constant and large physical domain size. Conventional computational ...
Effective Maxwell equations from time-dependent density functional theory
(Acta Mathematica Sinica, English Series, 2011-01-20)
The behavior of interacting electrons in a perfect crystal under macroscopic external electric and magnetic fields is studied. Effective Maxwell equations for the macroscopic electric and magnetic fields are derived starting ...
Convergence of frozen Gaussian approximation for high-frequency wave propagation
(Communications on Pure and Applied Mathematics, 2012-06-01)
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 ...
Gauge-invariant frozen Gaussian approximation method for the schrödinger equation with periodic potentials
(SIAM Journal on Scientific Computing, 2016-01-01)
© 2016 Society for Industrial and Applied Mathematics.We develop a gauge-invariant frozen Gaussian approximation (GIFGA) method for the Schrödinger equation (LSE) with periodic potentials in the semiclassical regime. The ...