High-order finite difference method for the Schrödinger equation on deforming domains
DOI10.1016/j.jcp.2021.110530OpenAlexW3175938634MaRDI QIDQ2132610
Erik Sjöqvist, Ken Mattsson, Jonatan Werpers, Ylva Ljungberg Rydin
Publication date: 28 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.2021.110530
stabilityfinite difference methodsquantum mechanicshigh-order accuracyboundary treatmentdeforming domain
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) General mathematical topics and methods in quantum theory (81Qxx)
Related Items (1)
Cites Work
- Unnamed Item
- Review of summation-by-parts schemes for initial-boundary-value problems
- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
- Atmospheric sound propagation over large-scale irregular terrain
- On the order of accuracy for difference approximations of initial-boundary value problems
- Chaos in classical and quantum mechanics
- Compact finite difference schemes with spectral-like resolution
- Asymptotically stable fourth-order accurate schemes for the diffusion equation on complex shapes
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- Stability at nonconforming grid interfaces for a high order discretization of the Schrödinger equation
- High order stable finite difference methods for the Schrödinger equation
- Fully Discrete Energy Stable High Order Finite Difference Methods for Hyperbolic Problems in Deforming Domains
- Exponential integrators
- Quantal phase factors accompanying adiabatic changes
- Diabolical points in the spectra of triangles
- A Stable Penalty Method for the Compressible Navier--Stokes Equations: III. Multidimensional Domain Decomposition Schemes
This page was built for publication: High-order finite difference method for the Schrödinger equation on deforming domains
