An Explicit Hermite-Taylor Method for the Schrödinger Equation

DOI10.4208/cicp.080815.211116azbMath1488.65495OpenAlexW2597981228MaRDI QIDQ5159069

Daniel Appelö, Gunilla Kreiss, Si Yang Wang

Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.080815.211116a

zbMATH Keywords

Schrödinger equationhigh orderHermite method

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Uses Software

• CHIDES

Cites Work

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• A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations
• Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
• Summation by parts operators for finite difference approximations of second derivatives
• High order stable finite difference methods for the Schrödinger equation
• Solving PDEs with Hermite Interpolation
• P-adaptive Hermite methods for initial value problems
• Exponential integrators
• Hermite methods for hyperbolic initial-boundary value problems
• Exponential Integrators for Large Systems of Differential Equations
• A Galerkin Radial Basis Function Method for the Schrödinger Equation

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