The Gaussian Beam Methods for Schrödinger-Poisson Equations

DOI10.4208/jcm.2009.10-m1005zbMath1224.81005OpenAlexW2046525394MaRDI QIDQ3071335

Hao Wu, Xu Yang, Shih Jin

Publication date: 5 February 2011

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.2009.10-m1005

zbMATH Keywords

Schrödinger-Poisson equationsVlasov-Poisson equationsGaussian beam methods

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (9)

Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials ⋮ Frozen Gaussian approximation-based artificial boundary conditions for one-dimensional nonlinear Schrödinger equation in the semiclassical regime ⋮ A high order numerical method for computing physical observables in the semiclassical limit of the one-dimensional linear Schrödinger equation with discontinuous potentials ⋮ A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with structure-preservation for long-time dynamics of the Dirac equation with small potentials ⋮ A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems ⋮ Taylor expansion and discretization errors in Gaussian beam superposition ⋮ The Eulerian Gaussian beam method for high frequency wave propagation in the reduced momentum space ⋮ Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT ⋮ Gaussian beam methods for the Schrödinger equation with discontinuous potentials

This page was built for publication: The Gaussian Beam Methods for Schrödinger-Poisson Equations