A novel scheme for Liouville's equation with a discontinuous Hamiltonian and applications to geometrical optics

DOI10.1007/s10915-015-0157-6zbMath1372.65328OpenAlexW2267157255WikidataQ59461588 ScholiaQ59461588MaRDI QIDQ2399202

Bart S. van Lith, Teus W. Tukker, Jan H. M. ten Thije Boonkkamp, Wilbert L. Ijzerman

Publication date: 22 August 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-015-0157-6

zbMATH Keywords

numerical exampleHamiltonian systemsphase spaceupwind schemegeometrical opticsjump conditionLiouville's equation

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Geometric optics (78A05)

Related Items (6)

Improved approximation of phase-space densities on triangulated domains using discrete flow mapping with \(p\)-refinement ⋮ Active flux schemes on moving meshes with applications to geometric optics ⋮ A hybrid semi-Lagrangian DG and ADER-DG solver on a moving mesh for Liouville's equation of geometrical optics ⋮ An ADER discontinuous Galerkin method on moving meshes for Liouville's equation of geometrical optics ⋮ An energy conservative \(hp\)-method for Liouville's equation of geometrical optics ⋮ Uncertainty quantification for phase-space boundary integral models of ray propagation

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