(2005)

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by Shi Jin , Xin Wen

BibTeX

@MISC{Jin05,
    author = {Shi Jin and Xin Wen},
    title = {},
    year = {2005}
}

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Abstract

A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with transmissions and reflections ∗

Citations

357	Efficient Implementation of Essentially Non-Oscillatory ShockCapturing Schemes - Shu, Osher - 1988
325	Numerical methods for conservation laws - LeVeque - 1992
86	Transport equations for elastic and other waves in random media - Ryzhik, Papanicolaou, et al. - 1996
36	One-dimensional transport equations with discontinuous coefficients - Bouchut, James - 1998
30	Multiphase computations in geometrical optics - Runborg - 1996
28	A kinetic scheme for the Saint-Venant system with a source term - Perthame, Simeoni
25	Big Ray Tracing: Multivalued Travel Time Field Computation Using Viscosity - Benamou - 1996
24	Numerical solution of the high frequency asymptotic expansion for the scalar wave equation - Fatemi, Engquist, et al. - 1995
23	Computational high frequency wave propagation - Engquist, Runborg - 2003
23	Geometri optics in a phase-space-based level set and Eulerian framework - Cheng, Osher, et al.
22	Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds, submitted - Jin, Wen
21	Computing multivalued physical observables for the semiclassical limit of the Schrodinger equation - Jin, Liu, et al.
19	Discretization of dirac delta functions in level set methods - Engquist, Tornberg, et al.
19	Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. III. From ab initio models to WKB for Schrödinger-Poisson - Gosse, Mauser
17	Transport theory for acoustic waves with reflection and transmission at interfaces - Bal, Keller, et al. - 1999
17	Using K-branch entropy solutions for multivalued geometric optics computations - Gosse
16	Two moment systems for computing multiphase semiclassical limits of the Schrödinger equation - Gosse, Jin, et al.
14	The sharpness of Kuznetsov’s O( √ ∆x) L 1 -error estimate for monotone difference schemes - Tang, Teng - 1995
13	Direct computation of multivalued phase space solutions for Hamilton-Jacobi equations - Benamou - 1999
12	On stable methods for solving non-linear first order partial differential equations in the class of discontinuous functions, Topics in Numerical Analysis - Kuznetsov - 1977
12	Transport equations for waves in a half space - Papanicolaou, Keller, et al. - 1997
11	Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems - Jin, Liu, et al.
11	On positivity preserving finite volume schemes for Euler equations - Perthame, Shu - 1996
10	An Eulerian Method for Capturing Caustics - Benamou, Solliec - 2000
10	Fast Phase Space Computation of Multiple Arrivals - Fomel, Sethian - 2002
10	Refraction of high frequency waves density by sharp interfaces and semiclassical measures at the boundary - Miller - 2000
10	Some new results in multi-phase geometric optics - Runborg
9	Reflection in a level set framework for geometric optics - Cheng, Osher, et al.
5	An introduction to Eulerian geometrical optics(1992-2002 - Benamou
5	High-Frequency Wave Propagation by the Segment Projection Method - Engquist, Runborg, et al. - 2002