The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation
From MaRDI portal
Publication:613403
DOI10.1016/j.jcp.2010.08.015zbMath1282.81090OpenAlexW1978919830MaRDI QIDQ613403
Publication date: 20 December 2010
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2010.08.015
Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items (18)
Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies ⋮ The Gaussian wave packet transform: efficient computation of the semi-classical limit of the Schrödinger equation. II: Multidimensional case ⋮ Fast multiscale Gaussian beam methods for wave equations in bounded convex domains ⋮ An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems ⋮ Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime ⋮ An efficient Lagrangian interpolation scheme for computing flow maps and line integrals using discrete velocity data ⋮ VIALS: an Eulerian tool based on total variation and the level set method for studying dynamical systems ⋮ A fast Huygens sweeping method for capturing paraxial multi-color optical self-focusing in nematic liquid crystals ⋮ Eulerian based interpolation schemes for flow map construction and line integral computation with applications to Lagrangian coherent structures extraction ⋮ Unnamed Item ⋮ Fast Multiscale Gaussian Beam Method for Three-Dimensional Elastic Wave Equations in Bounded Domains ⋮ A Convergent Multiscale Gaussian-Beam Parametrix for the Wave Equation ⋮ The Eulerian Gaussian beam method for high frequency wave propagation in the reduced momentum space ⋮ The backward phase flow method for the Eulerian finite time Lyapunov exponent computations ⋮ Numerical Microlocal Analysis by Fast Gaussian Wave Packet Transforms and Application to High-Frequency Helmholtz Problems ⋮ Fast construction of forward flow maps using Eulerian based interpolation schemes ⋮ Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media ⋮ Fast Huygens sweeping methods for a class of nonlocal Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pseudo-spectral solution of nonlinear Schrödinger equations
- Taylor expansion and discretization errors in Gaussian beam superposition
- The phase flow method
- Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime
- Gaussian beam decomposition of high frequency wave fields
- Accuracy of semiclassical dynamics in the presence of chaos
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- Gaussian beams summation for the wave equation in a convex domain
- On the existence and the regularity of solutions of linear pseudo- differential equations
- Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation
- Fast Multiscale Gaussian Wavepacket Transforms and Multiscale Gaussian Beams for the Wave Equation
- Mountain Waves and Gaussian Beams
- Non-unitary transformation of conservative to dissipative evolutions
- Time domain approach to semiclassical dynamics: Breaking the log time barrier
- Gaussian Beam Summation for Diffraction in Inhomogeneous Media Based on the Grid Based Particle Method
- An introduction to semiclassical and microlocal analysis
This page was built for publication: The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation
