An asymptotic Green's function method for time-dependent Schrödinger equations with application to Kohn-Sham equations
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Publication:2671387
DOI10.1016/j.jcp.2022.111272OpenAlexW4229043467MaRDI QIDQ2671387
Gang Bao, Yijin Gao, Di Liu, Songting Luo, Jay P. Mayfield
Publication date: 3 June 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111272
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) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Uses Software
Cites Work
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- Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
- Fast Huygens sweeping methods for Helmholtz equations in inhomogeneous media in the high frequency regime
- An aggregation-based algebraic multigrid method
- A two-point boundary value problem with a rapidly oscillating solution
- Pseudo-skeleton approximations by matrices of maximal volume
- A perfectly matched layer for the absorption of electromagnetic waves
- A theory of pseudoskeleton approximations
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
- Fast Huygens sweeping methods for Schrödinger equations in the semi-classical regime
- A second-order fast Huygens sweeping method for time-dependent Schrödinger equations with perfectly matched layers
- A fast directional algorithm for high frequency acoustic scattering in two dimensions
- A perfectly matched layer approach to the nonlinear Schrödinger wave equations
- Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation
- A posteriori error estimation for finite element solutions of Helmholtz’ equation. part I: the quality of local indicators and estimators
- Eulerian Geometrical Optics and Fast Huygens Sweeping Methods for Three-Dimensional Time-Harmonic High-Frequency Maxwell's Equations in Inhomogeneous Media
- An Algebraic Multigrid Method with Guaranteed Convergence Rate
- KSSOLV—a MATLAB toolbox for solving the Kohn-Sham equations
- Mathematical and computational methods for semiclassical Schrödinger equations
- Structure of a quantized vortex in boson systems
- Semiclassical Mechanics
- Viscosity Solutions of Hamilton-Jacobi Equations
- Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
- Absorbing boundary conditions for numerical simulation of waves
- Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes
- Computational high frequency wave propagation
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Fast Huygens Sweeping Methods for Time-Dependent Schrödinger Equation with Perfectly Matched Layers
- Extending Babich's Ansatz for Point-Source Maxwell's Equations Using Hadamard's Method
- 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
- Quantum Theory of Many-Body Systems
- Iterative Procedures for Nonlinear Integral Equations
- On the Construction and Comparison of Difference Schemes
- An introduction to semiclassical and microlocal analysis
