-
1
-
-
0345829286
-
-
J.-D. Benamou, An introduction to Eulerian geometrical optics (1992-2002), J. Sci. Comp., 19(1-3) (2001), 63-93.
-
J.-D. Benamou, An introduction to Eulerian geometrical optics (1992-2002), J. Sci. Comp., 19(1-3) (2001), 63-93.
-
-
-
-
3
-
-
0001454943
-
Strickly particles and scalar conservation laws
-
Y. Brenier and E. Grenier, Strickly particles and scalar conservation laws, SIAM J. Numer. Anal., 38 (1998), 2317-2328.
-
(1998)
SIAM J. Numer. Anal
, vol.38
, pp. 2317-2328
-
-
Brenier, Y.1
Grenier, E.2
-
4
-
-
84980075530
-
Boundary layer problems in diffraction theory
-
R. N. Buchal and J. B. Keller, Boundary layer problems in diffraction theory, Comm. Pure Appl. Math., 13 (1960), 85-114.
-
(1960)
Comm. Pure Appl. Math
, vol.13
, pp. 85-114
-
-
Buchal, R.N.1
Keller, J.B.2
-
5
-
-
3242697504
-
Computational high-frequency wave propagation using the level set method, with applications to the semi-classical limit of Schrödinger equations
-
L.-T. Cheng, H.-L. Liu and S. Osher, Computational high-frequency wave propagation using the level set method, with applications to the semi-classical limit of Schrödinger equations, Comm. Math. Sci., 1 (2003), 593-621.
-
(2003)
Comm. Math. Sci
, vol.1
, pp. 593-621
-
-
Cheng, L.-T.1
Liu, H.-L.2
Osher, S.3
-
9
-
-
24644487123
-
Computational high frequency wave propagation
-
B. Engquist and O. Runborg, Computational high frequency wave propagation, Acta Numerica, 12 (2003), 181-266.
-
(2003)
Acta Numerica
, vol.12
, pp. 181-266
-
-
Engquist, B.1
Runborg, O.2
-
10
-
-
0037141033
-
High frequency wave propagation by the segment projection method
-
B. Engquist, O. Runborg and A.-K. Tornberg, High frequency wave propagation by the segment projection method, J. Comput. Phys., 178 (2002), 373-390.
-
(2002)
J. Comput. Phys
, vol.178
, pp. 373-390
-
-
Engquist, B.1
Runborg, O.2
Tornberg, A.-K.3
-
11
-
-
18344388470
-
Discretization of dirac delta functions in level set methods
-
B. Engquist, A.-K. Tornberg and R. Tsai, Discretization of dirac delta functions in level set methods, J. Comput. Phys., 207 (2005), 28-51.
-
(2005)
J. Comput. Phys
, vol.207
, pp. 28-51
-
-
Engquist, B.1
Tornberg, A.-K.2
Tsai, R.3
-
12
-
-
0000647149
-
Numerical solution of the high frequency symptotic expansion for the scalar wave equation
-
E. Fatemi, B. Engquist and S. Osher, Numerical solution of the high frequency symptotic expansion for the scalar wave equation, J. Comput. Phys., 120 (1995), 145-155.
-
(1995)
J. Comput. Phys
, vol.120
, pp. 145-155
-
-
Fatemi, E.1
Engquist, B.2
Osher, S.3
-
13
-
-
0037188495
-
Fast phase space computation of multiple arrivals
-
S. Fomel and J. A. Sethian, Fast phase space computation of multiple arrivals, Proc. Natl. Acad. Sci. USA, 99(11) (2002), 7329-7334.
-
(2002)
Proc. Natl. Acad. Sci. USA
, vol.99
, Issue.11
, pp. 7329-7334
-
-
Fomel, S.1
Sethian, J.A.2
-
14
-
-
25444466220
-
Multiphase semicalssical approximation of an electron in a one-dimensional crystalline lattice - III. From ab initio models to WKB for Schrödinger-Poisson
-
L. Gosse and N. J. Mauser, Multiphase semicalssical approximation of an electron in a one-dimensional crystalline lattice - III. From ab initio models to WKB for Schrödinger-Poisson, J. Comput. Phys, 211 (2006), 326-346.
-
(2006)
J. Comput. Phys
, vol.211
, pp. 326-346
-
-
Gosse, L.1
Mauser, N.J.2
-
15
-
-
84967758647
-
Viscosity solutions of Hamilton-Jacobi equations
-
M. G. Grandall and P.-L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 277 (1983), 1-42.
-
(1983)
Trans. Amer. Math. Soc
, vol.277
, pp. 1-42
-
-
Grandall, M.G.1
Lions, P.-L.2
-
16
-
-
0442331531
-
Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner
-
S. Jin and X. Li, Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner, Physics D, 182 (2003), 46-85.
-
(2003)
Physics D
, vol.182
, pp. 46-85
-
-
Jin, S.1
Li, X.2
-
17
-
-
34548683732
-
A Hamiltonian-preserving scheme for high frequency elastic waves in heterogeneous media, J
-
S. Jin and X. Liao, A Hamiltonian-preserving scheme for high frequency elastic waves in heterogeneous media, J. Hyperbolic Diff Eqn., 3(4) (2006), 741-777.
-
(2006)
Hyperbolic Diff Eqn
, vol.3
, Issue.4
, pp. 741-777
-
-
Jin, S.1
Liao, X.2
-
18
-
-
23944519965
-
Computing multi-valued physical observables for high frequency limit of symmetric hyperbolic systems
-
S. Jin, H. L. Liu, S. Osher and R. Tsai, Computing multi-valued physical observables for high frequency limit of symmetric hyperbolic systems, J. Comp. Phys., 210 (2005), 497-518.
-
(2005)
J. Comp. Phys
, vol.210
, pp. 497-518
-
-
Jin, S.1
Liu, H.L.2
Osher, S.3
Tsai, R.4
-
19
-
-
3242673880
-
A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations
-
S. Jin and S. Osher, A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations, Comm. Math. Sci., 1(3) (2003), 575-591.
-
(2003)
Comm. Math. Sci
, vol.1
, Issue.3
, pp. 575-591
-
-
Jin, S.1
Osher, S.2
-
20
-
-
33644957151
-
Hamiltonian-preserving scheme for the Liouville equation with discontiuous potentials
-
S. Jin and X. Wen, Hamiltonian-preserving scheme for the Liouville equation with discontiuous potentials, Comm. Math. Sci., 3 (2005), 285-315.
-
(2005)
Comm. Math. Sci
, vol.3
, pp. 285-315
-
-
Jin, S.1
Wen, X.2
-
21
-
-
33644952544
-
Hamiltonian-preserving scheme for the Liouville equation of geometric optics with discontinuous local wave speeds
-
S. Jin and X. Wen, Hamiltonian-preserving scheme for the Liouville equation of geometric optics with discontinuous local wave speeds, J. Comp. Phys., 214 (2006), 672-697.
-
(2006)
J. Comp. Phys
, vol.214
, pp. 672-697
-
-
Jin, S.1
Wen, X.2
-
22
-
-
34548672178
-
A Hamiltonian-preserving scheme for the Liouville equation of geometric optics with partial transmissions and reflections
-
S. Jin and X. Wen, A Hamiltonian-preserving scheme for the Liouville equation of geometric optics with partial transmissions and reflections, SIAM J. Num. Anal., 44 (2006), 1801-1828.
-
(2006)
SIAM J. Num. Anal
, vol.44
, pp. 1801-1828
-
-
Jin, S.1
Wen, X.2
-
23
-
-
33749590992
-
Computation of transmissions and reflections in geometric optics via the reduced Liouville equation
-
S. Jin and X. Wen, Computation of transmissions and reflections in geometric optics via the reduced Liouville equation, Wave Motion, 43(8) (2006), 667-688.
-
(2006)
Wave Motion
, vol.43
, Issue.8
, pp. 667-688
-
-
Jin, S.1
Wen, X.2
-
24
-
-
43049091907
-
Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction
-
S. Jin and D. S. Yin, Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction, J. Comput. Phys., 227 (2008), 6106-6139.
-
(2008)
J. Comput. Phys
, vol.227
, pp. 6106-6139
-
-
Jin, S.1
Yin, D.S.2
-
25
-
-
33645667614
-
Geometric theory of diffraction
-
J. B. Keller, Geometric theory of diffraction, J. Opt. Soc. of America, 52(2) (1962), 116-130.
-
(1962)
J. Opt. Soc. of America
, vol.52
, Issue.2
, pp. 116-130
-
-
Keller, J.B.1
-
26
-
-
0001786794
-
Asymptotic methods for partial diffrential equations: The reduced wave equation and maxwell's equations
-
D. McLaughlin, J. B. Keller and G. Papanicolaou Eds, Plenum Press, New York
-
J. B. Keller and R. Lewis, Asymptotic methods for partial diffrential equations: The reduced wave equation and maxwell's equations, in: D. McLaughlin, J. B. Keller and G. Papanicolaou (Eds.), Surveys in Applied Mathematics, Plenum Press, New York, 1995.
-
(1995)
Surveys in Applied Mathematics
-
-
Keller, J.B.1
Lewis, R.2
-
27
-
-
0016129803
-
A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface
-
R. G. Kouyoumjian and P. H. Parthak, A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface, Proc. Of the IEEE, 62(11) (1974), 1448-1461.
-
(1974)
Proc. Of the IEEE
, vol.62
, Issue.11
, pp. 1448-1461
-
-
Kouyoumjian, R.G.1
Parthak, P.H.2
-
28
-
-
33750342435
-
A fast phase space method for computing creeping rays
-
M. Motamed and O. Runborg, A fast phase space method for computing creeping rays, J. Comput. Phys., 219 (2006), 276-295.
-
(2006)
J. Comput. Phys
, vol.219
, pp. 276-295
-
-
Motamed, M.1
Runborg, O.2
-
29
-
-
35349024163
-
A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems
-
M. Motamed and O. Runborg, A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems, Commun. Math. Sci., 5(3) (2007), 617-648.
-
(2007)
Commun. Math. Sci
, vol.5
, Issue.3
, pp. 617-648
-
-
Motamed, M.1
Runborg, O.2
-
30
-
-
0036647932
-
Geometric optics in a phase-space-based level set and Eulerian framework
-
S. Osher, L. T. Cheng, M. Kang, H. Shim and Y.-H. Tsai, Geometric optics in a phase-space-based level set and Eulerian framework, J. Comput. Phys., 179(2) (2002), 622-648.
-
(2002)
J. Comput. Phys
, vol.179
, Issue.2
, pp. 622-648
-
-
Osher, S.1
Cheng, L.T.2
Kang, M.3
Shim, H.4
Tsai, Y.-H.5
-
31
-
-
0030388835
-
Transport equations for elastic and other waves in random media
-
L. Ryzhik, G. Papanicolaou and J. Keller, Transport equations for elastic and other waves in random media, Wave Motion, 24 (1996), 327-370.
-
(1996)
Wave Motion
, vol.24
, pp. 327-370
-
-
Ryzhik, L.1
Papanicolaou, G.2
Keller, J.3
-
32
-
-
84887251437
-
Wigner functions vs. WKB techniques in multivalued geometric optics
-
C. Sparber, N. Mauser and P. A. Markowich, Wigner functions vs. WKB techniques in multivalued geometric optics, J. Asympt. Anal., 33 (2003), 153-187.
-
(2003)
J. Asympt. Anal
, vol.33
, pp. 153-187
-
-
Sparber, C.1
Mauser, N.2
Markowich, P.A.3
-
33
-
-
25444518233
-
The numerical approximation of a delta function with application to level set methods
-
P. Smereka, The numerical approximation of a delta function with application to level set methods, J. Comput. Phys., 211 (2006), 77-90.
-
(2006)
J. Comput. Phys
, vol.211
, pp. 77-90
-
-
Smereka, P.1
-
34
-
-
33845599106
-
Two methods for discretizing a delta function supported on a level set
-
J. D. Towers, Two methods for discretizing a delta function supported on a level set, J. Comput. Phys., 220 (2007), 915-931.
-
(2007)
J. Comput. Phys
, vol.220
, pp. 915-931
-
-
Towers, J.D.1
-
35
-
-
34548698672
-
High order numerical methods to a type of delta function integrals
-
X. Wen, High order numerical methods to a type of delta function integrals, J. Comput. Phys., 226 (2007), 1952-1967.
-
(2007)
J. Comput. Phys
, vol.226
, pp. 1952-1967
-
-
Wen, X.1
-
36
-
-
55549127924
-
High order numerical quadratures to one dimensional delta function integrals
-
X. Wen, High order numerical quadratures to one dimensional delta function integrals, SIAM J. Sci. Comput., 30(4) (2008), 1825-1846.
-
(2008)
SIAM J. Sci. Comput
, vol.30
, Issue.4
, pp. 1825-1846
-
-
Wen, X.1
-
37
-
-
33751201828
-
Fast geodesics computation with the phase flow method
-
L. Ying and E. J. Candés, Fast geodesics computation with the phase flow method, J. Comput. Phys., 220 (2006), 6-18.
-
(2006)
J. Comput. Phys
, vol.220
, pp. 6-18
-
-
Ying, L.1
Candés, E.J.2
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