Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime
DOI10.1016/j.cam.2024.116240MaRDI QIDQ6653491
Jannis Körner, Christian Klein, Anton Arnold, Jens Markus Melenk
Publication date: 16 December 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Schrödinger equationasymptotic analysisAiry functionspectral methodsoptimal truncationhighly oscillatory wave functionshigher-order WKB approximation
Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
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