<div class="csl-bib-body">
<div class="csl-entry">Arnold, A., & Körner, J. (2024). High-order WKB-based method for the 1D stationary Schrödinger equation in the semi-classical limit. In <i>AIP Conference Proceedings</i> (pp. 220002-1-220002–220004). AIP Publishing. https://doi.org/10.1063/5.0213306</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/199009
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dc.description.abstract
We consider initial value problems for ε2 ϕ + a(x) ϕ = 0 in the highly oscillatory regime, i.e., with a(x) > 0 and
0 < ε 1. We discuss their efficient numerical integration on coarse grids, but still yielding accurate solutions. The O(h²) one-step method from [2] is based on an analytic WKB-preprocessing of the equation. Here we extend this method to O(h³) accuracy.
en
dc.language.iso
en
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dc.relation.ispartofseries
International Conference of Numerical Analysis and Applied Mathematics: ICNAAM2022
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dc.subject
highly oscillatary problems
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dc.subject
WKB-method
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dc.subject
efficient integrators
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dc.title
High-order WKB-based method for the 1D stationary Schrödinger equation in the semi-classical limit
