Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction
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Publication:939481
DOI10.1016/j.jcp.2008.02.029zbMath1144.78002OpenAlexW2048742304MaRDI QIDQ939481
Publication date: 22 August 2008
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2008.02.029
numerical methodsLiouville equationgeometric opticsgeometrical theory of diffractionhigh frequency wavescreeping wave
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Waves and radiation in optics and electromagnetic theory (78A40) Geometric optics (78A05)
Related Items (6)
Hamiltonian-Preserving Discontinuous Galerkin Methods for the Liouville Equation With Discontinuous Potential ⋮ Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials ⋮ A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials ⋮ A high order numerical method for computing physical observables in the semiclassical limit of the one-dimensional linear Schrödinger equation with discontinuous potentials ⋮ Computing highly oscillatory physical optics integral on the polygonal domain by an efficient numerical steepest descent path method ⋮ Mathematical and computational methods for semiclassical Schrödinger equations
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