Global geometrical optics method

DOI10.4310/CMS.2013.V11.N1.A4zbMath1275.35015OpenAlexW2318117809MaRDI QIDQ359706

Chunxiong Zheng

Publication date: 22 August 2013

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2013.v11.n1.a4

zbMATH Keywords

numerical testsunitary representationHamiltonian systemLagrangian manifoldcausticscoherent statesemi-classical approximationwave equations in the high-frequency regimeWKB-type function

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Initial value problems for linear first-order PDEs (35F10) Asymptotic analysis in optics and electromagnetic theory (78M35)

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Optimal error estimate of the extended-WKB approximation to the high frequency wave-type equation in the semi-classical regime ⋮ Global geometrical optics method for vector-valued Schrödinger problems ⋮ Electronic optics in graphene in the semiclassical approximation ⋮ General superpositions of Gaussian beams and propagation errors

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