Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation
DOI10.1016/j.jcp.2021.110357OpenAlexW3158873641MaRDI QIDQ2124399
Publication date: 11 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110357
Schrödinger equationhigh frequency Helmholtz equationBabich's expansionglobally valid solutionpseudospectral time propagator
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) General first-order partial differential equations and systems of first-order partial differential equations (35Fxx)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime
- Factored singularities and high-order Lax-Friedrichs sweeping schemes for point-source traveltimes and amplitudes
- Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations
- Fast sweeping method for the factored eikonal equation
- High order fast sweeping methods for static Hamilton-Jacobi equations
- A two-point boundary value problem with a rapidly oscillating solution
- Weighted essentially non-oscillatory schemes
- A perfectly matched layer for the absorption of electromagnetic waves
- Automatic control and adaptive time-stepping
- Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
- Efficient implementation of weighted ENO schemes
- Fast Huygens sweeping methods for Schrödinger equations in the semi-classical regime
- Asymptotic solutions for high frequency Helmholtz equations in anisotropic media with Hankel functions
- Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies
- Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation
- Babich's expansion and high-order Eulerian asymptotics for point-source Helmholtz equations
- A fast sweeping method for static convex Hamilton-Jacobi equations
- Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media
- A HIGH-ORDER FAST MARCHING SCHEME FOR THE LINEARIZED EIKONAL EQUATION
- A Compact Upwind Second Order Scheme for the Eikonal Equation
- A Stopping Criterion for Higher-order Sweeping Schemes for Static Hamilton-Jacobi Equations
- Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
- High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
- Viscosity Solutions of Hamilton-Jacobi Equations
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations
- Computational high frequency wave propagation
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- Fast Huygens Sweeping Methods for Time-Dependent Schrödinger Equation with Perfectly Matched Layers
- A fast sweeping method for Eikonal equations
- A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods
- An Algorithm for the Machine Calculation of Complex Fourier Series
- High-Order Factorization Based High-Order Hybrid Fast Sweeping Methods for Point-Source Eikonal Equations
- Fast Sweeping Methods for Eikonal Equations on Triangular Meshes
- Uniform asymptotic expansions at a caustic
- The short wave asymptotic form of the solution for the problem of a point source in an inhomogeneous medium
- On the Construction and Comparison of Difference Schemes
This page was built for publication: Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation
