The Hermite pseudospectral method for the two-dimensional Schrödinger equation with nonseparable potentials
DOI10.1016/j.camwa.2015.01.002zbMath1443.65386OpenAlexW2072682240MaRDI QIDQ2006031
Publication date: 8 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.01.002
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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Cites Work
- The scaled Hermite-Weber basis in the spectral and pseudospectral pictures
- A new kind of discretization scheme for solving a two-dimensional time-independent Schrödinger equation
- Two-sided eigenvalue bounds for the spherically symmetric states of the Schrödinger equation
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- The scaled Hermite--Weber basis still highly competitive
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- Algorithm 810: The SLEIGN2 Sturm-Liouville Code
- Calculation of Gauss Quadrature Rules
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