-
1
-
-
84980087769
-
The high frequency asymptotic field of a point source in an inhomogeneous medium
-
G. Avila, J.B. Keller: The high frequency asymptotic field of a point source in an inhomogeneous medium. Commun Pure Appl. Math. 16, 363-381 (1963)
-
(1963)
Commun Pure Appl. Math.
, vol.16
, pp. 363-381
-
-
Avila, G.1
Keller, J.B.2
-
3
-
-
0030588020
-
Big ray tracing: Multivalued travel time field computation using viscosity solutions of the eikonal equation
-
J.D. Benamou: Big ray tracing: multivalued travel time field computation using viscosity solutions of the eikonal equation. J. Comp. Phys. 128, 463-474 (1996)
-
(1996)
J. Comp. Phys.
, vol.128
, pp. 463-474
-
-
Benamou, J.D.1
-
4
-
-
0033421722
-
Direct computation of multivalued phase space solutions for Hamilton-Jacobi equations
-
J.D. Benamou: Direct computation of multivalued phase space solutions for Hamilton-Jacobi equations. Commun Pure Appl. Math. 52, 1443-1475 (1999)
-
(1999)
Commun Pure Appl. Math.
, vol.52
, pp. 1443-1475
-
-
Benamou, J.D.1
-
5
-
-
0001521650
-
Équations de transport unidimensionnelles a ̀coefficients discontinus
-
F. Bouchut, F. James: Équations de transport unidimensionnelles a ̀coefficients discontinus. C. R. Acad. Sci. Paris, Série I 320, 1097-1102 (1995)
-
(1995)
C. R. Acad. Sci. Paris, Série I
, vol.320
, pp. 1097-1102
-
-
Bouchut, F.1
James, F.2
-
6
-
-
0032092187
-
One-dimensional transport equations with discontinuous coefficients
-
F. Bouchut, F. James: One-dimensional transport equations with discontinuous coefficients. Nonlinear Anal. TMA 32 (7), 891-933 (1998)
-
(1998)
Nonlinear Anal. TMA
, vol.32
, Issue.7
, pp. 891-933
-
-
Bouchut, F.1
James, F.2
-
7
-
-
0033482438
-
Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
-
F. Bouchut, F. James: Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Commun Partial Diff. Eq. 24 (11-12), 2173-2189 (1999)
-
(1999)
Commun Partial Diff. Eq.
, vol.24
, Issue.11-12
, pp. 2173-2189
-
-
Bouchut, F.1
James, F.2
-
8
-
-
0003094692
-
The discrete one-sided Lipschitz condition for convex scalar conservation laws
-
Y. Brenier, S. Osher: The discrete one-sided Lipschitz condition for convex scalar conservation laws. SIAM J. Numer. Anal. 25, 8-23 (1988)
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 8-23
-
-
Brenier, Y.1
Osher, S.2
-
9
-
-
84968511145
-
Numerical schemes for conservation laws via Hamilton-Jacobi equations
-
L. Corrias, M. Falcone, R. Natalini: Numerical schemes for conservation laws via Hamilton-Jacobi equations. Math. Comp. 64 (210), 555-580 (1995)
-
(1995)
Math. Comp.
, vol.64
, Issue.210
, pp. 555-580
-
-
Corrias, L.1
Falcone, M.2
Natalini, R.3
-
10
-
-
84967758647
-
Some properties of viscosity solutions of Hamilton-Jacobi equations
-
M. Crandall, L.C. Evans, P.L. Lions: Some properties of viscosity solutions of Hamilton-Jacobi equations. Trans. Amer. Math. Soc. 277, 1-42 (1983)
-
(1983)
Trans. Amer. Math. Soc.
, vol.277
, pp. 1-42
-
-
Crandall, M.1
Evans, L.C.2
Lions, P.L.3
-
11
-
-
84968507121
-
Viscosity solutions of Hamilton-Jacobi equations
-
M. Crandall, P.L. Lions: Viscosity solutions of Hamilton-Jacobi equations. Trans. Amer. Math. Soc. 282, 487-502 (1984)
-
(1984)
Trans. Amer. Math. Soc.
, vol.282
, pp. 487-502
-
-
Crandall, M.1
Lions, P.L.2
-
12
-
-
84966245867
-
Two approximations of solutions of Hamilton-Jacobi equations
-
M. Crandall, P.L. Lions: Two approximations of solutions of Hamilton-Jacobi equations. Math. Comp. 43, 1-19 (1984)
-
(1984)
Math. Comp.
, vol.43
, pp. 1-19
-
-
Crandall, M.1
Lions, P.L.2
-
13
-
-
0000647149
-
Numerical solution of the high frequency asymptotic expansion for the scalar wave equation
-
E. Fatemi, B. Engquist, S. Osher: Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. J. Comp. Phys. 120, 145-155 (1995)
-
(1995)
J. Comp. Phys.
, vol.120
, pp. 145-155
-
-
Fatemi, E.1
Engquist, B.2
Osher, S.3
-
14
-
-
0040252245
-
Finite difference methods for geometrical optics and related nonlinear PDEs approximating the high frequency Helmholtz equation
-
UCLA, March
-
E. Fatemi, B. Engquist, S. Osher: Finite difference methods for geometrical optics and related nonlinear PDEs approximating the high frequency Helmholtz equation. CAM Department report, UCLA, March 1995
-
(1995)
CAM Department Report
-
-
Fatemi, E.1
Engquist, B.2
Osher, S.3
-
15
-
-
0030571228
-
Multi-phase computations in geometrical optics
-
B. Engquist, O. Runborg: Multi-phase computations in geometrical optics. J. Comp. Appl. Math. 74, 175-192 (1996)
-
(1996)
J. Comp. Appl. Math.
, vol.74
, pp. 175-192
-
-
Engquist, B.1
Runborg, O.2
-
16
-
-
0034401759
-
Numerical approximations of one- dimensional linear conservation equations with discontinuous coefficients
-
L. Gosse, F. James: Numerical approximations of one- dimensional linear conservation equations with discontinuous coefficients. Math. Comp. 69 (2000) 987 - 1015
-
(2000)
Math. Comp.
, vol.69
, pp. 987-1015
-
-
Gosse, L.1
James, F.2
-
17
-
-
0034437087
-
Two a-posteriori error estimates for one-dimensional scalar conservation laws
-
L. Gosse, Ch. Makridakis: Two a-posteriori error estimates for one-dimensional scalar conservation laws. SIAM J. Numer. Anal. 38 (2000) 964-988
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 964-988
-
-
Gosse, L.1
Makridakis, Ch.2
-
18
-
-
0021381876
-
On a class of high resolution total-variation-stable finite-difference schemes
-
A. Harten: On a class of high resolution total-variation-stable finite-difference schemes. SIAM J. Numer. Anal. 21 (1984), 1-23
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 1-23
-
-
Harten, A.1
-
19
-
-
0007140851
-
Solutions containing Delta- waves of the Cauchy problem for a nonstrictly hyperbolic system
-
F. Huang, C. Li, Z. Wang: Solutions containing Delta- waves of the Cauchy problem for a nonstrictly hyperbolic system. Acta Math. Sinica 11, 429-446 (1995)
-
(1995)
Acta Math. Sinica
, vol.11
, pp. 429-446
-
-
Huang, F.1
Li, C.2
Wang, Z.3
-
20
-
-
0000953038
-
The behavior of solutions of the NLS equation in the semiclassical limit
-
New-York: Plenum Press
-
S. Jin, D. Levermore, D. McLaughlin: The behavior of solutions of the NLS equation in the semiclassical limit. NATO Adv. Sci. Inst., Ser. B: Phys. 320. New-York: Plenum Press 1994
-
(1994)
NATO Adv. Sci. Inst., Ser. B: Phys.
, vol.320
-
-
Jin, S.1
Levermore, D.2
McLaughlin, D.3
-
22
-
-
33645667614
-
Geometrical theory of diffraction
-
J.B. Keller: Geometrical theory of diffraction. J. Opt. Soc. Amer. 52, 116-130 (1962)
-
(1962)
J. Opt. Soc. Amer.
, vol.52
, pp. 116-130
-
-
Keller, J.B.1
-
23
-
-
0000585998
-
The Cauchy problem in the large for nonlinear equations and for certain quasilinear systems of the first order in several space variables
-
S.N. Kružkov: The Cauchy problem in the large for nonlinear equations and for certain quasilinear systems of the first order in several space variables. Sov. Math. Dokl. 5, 493-497 (1964)
-
(1964)
Sov. Math. Dokl.
, vol.5
, pp. 493-497
-
-
Kružkov, S.N.1
-
24
-
-
84956105326
-
Generalized solutions of the Hamilton-Jacobi equations of the eikonal type
-
S.N. Kružkov: Generalized solutions of the Hamilton-Jacobi equations of the eikonal type. I. Math. USSR Sb. 27, 406-446 (1975)
-
(1975)
I. Math. USSR Sb.
, vol.27
, pp. 406-446
-
-
Kružkov, S.N.1
-
27
-
-
0035580662
-
1 -stability and error estimates for approximate Hamilton-Jacobi solutions
-
1 -stability and error estimates for approximate Hamilton-Jacobi solutions. Numer. Math. 87, 701-735 (2001)
-
(2001)
Numer. Math.
, vol.87
, pp. 701-735
-
-
Lin, C.-T.1
Tadmor, E.2
-
28
-
-
0003292086
-
Generalized solutions of Hamilton-Jacobi equations
-
Pitman
-
P.-L. Lions: Generalized solutions of Hamilton-Jacobi equations. Research notes in mathematics 69. Pitman 1982
-
(1982)
Research Notes in Mathematics
, vol.69
-
-
Lions, P.-L.1
-
29
-
-
84981755544
-
Uniform expansions al a caustic
-
D. Ludwig: Uniform expansions al a caustic. Commun Pure Appl. Math. 19, 215-250 (1966)
-
(1966)
Commun Pure Appl. Math.
, vol.19
, pp. 215-250
-
-
Ludwig, D.1
-
30
-
-
0026972508
-
Convergence to equilibrium for the relaxation approximations of conservation laws
-
H. Nessyahu, E. Tadmor: Convergence to Equilibrium for the Relaxation Approximations of Conservation laws. SIAM J. Numer. Anal. 29 (6), 1505-1519 (1992)
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, Issue.6
, pp. 1505-1519
-
-
Nessyahu, H.1
Tadmor, E.2
-
31
-
-
0002717472
-
Discontinuous solutions of nonlinear differential equations
-
O.A. Oleinik: Discontinuous Solutions of Nonlinear Differential Equations. Amer. Math. Soc. Transl. 26 (2), 95-172 (1963)
-
(1963)
Amer. Math. Soc. Transl.
, vol.26
, Issue.2
, pp. 95-172
-
-
Oleinik, O.A.1
-
32
-
-
0033474746
-
Linear transport equations with discontinuous coefficients
-
G. Petrova, P. Popov: Linear transport equations with discontinuous coefficients Commun Partial Diff. Eq. 24 (9-10), 1849-1873 (1999)
-
(1999)
Commun Partial Diff. Eq.
, vol.24
, Issue.9-10
, pp. 1849-1873
-
-
Petrova, G.1
Popov, P.2
-
33
-
-
0000389658
-
Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients
-
F. Poupaud, M. Rascle: Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients. Commun Partial Diff. Eq. 22, 337-358 (1997)
-
(1997)
Commun Partial Diff. Eq.
, vol.22
, pp. 337-358
-
-
Poupaud, F.1
Rascle, M.2
-
34
-
-
0013015411
-
Lectures on geometric optics. Hyperbolic equations and frequency interactions
-
Park City,UT, Amer. Math. Soc., Providence, RI
-
J. Rauch, M. Keel: Lectures on geometric optics. Hyperbolic equations and frequency interactions. (Park City,UT, 1995), 383-466, IAS/Park City Math. Ser., 5, Amer. Math. Soc., Providence, RI, (1999)
-
(1995)
IAS/Park City Math. Ser.
, vol.5
, pp. 383-466
-
-
Rauch, J.1
Keel, M.2
-
35
-
-
0012912016
-
Notes on big ray tracing
-
R.H. Rietdijk: Notes on big ray tracing. J. Comp. Phys. 148 no 1 (1999), 149-168
-
(1999)
J. Comp. Phys.
, vol.148
, Issue.1
, pp. 149-168
-
-
Rietdijk, R.H.1
-
36
-
-
0026880997
-
A viscosity solution approach to shape-from-shading
-
E. Rouy, A. Tourin: A viscosity solution approach to shape-from-shading. SIAM J. Numer. Anal. 29, 867-884 (1988)
-
(1988)
SIAM J. Numer. Anal.
, vol.29
, pp. 867-884
-
-
Rouy, E.1
Tourin, A.2
-
39
-
-
46549099599
-
Existence of viscosity solutions of Hamilton-Jacobi equations
-
P.E. Souganidis: Existence of viscosity solutions of Hamilton-Jacobi equations. J. Diff. Equ. 56 (3), 345-390 (1985)
-
(1985)
J. Diff. Equ.
, vol.56
, Issue.3
, pp. 345-390
-
-
Souganidis, P.E.1
-
40
-
-
46549091075
-
Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
-
P.E. Souganidis: Approximation schemes for viscosity solutions of Hamilton-Jacobi equations. J. Diff. Equ. 59 (1), 1-43 (1985)
-
(1985)
J. Diff. Equ.
, vol.59
, Issue.1
, pp. 1-43
-
-
Souganidis, P.E.1
-
41
-
-
0342305562
-
A slowness matching finite difference method for traveltimes beyond transmission caustics
-
INRIA, Paris, 16-18 September and Tech. Report, Rice University
-
W. Symes: A slowness matching finite difference method for traveltimes beyond transmission caustics. Proceedings of the Workshop on Computation of Multivalued Traveltimes, INRIA, Paris, 16-18 September 1996 and Tech. Report, Rice University
-
(1996)
Proceedings of the Workshop on Computation of Multivalued Traveltimes
-
-
Symes, W.1
-
42
-
-
84966211931
-
The large-time behavior of the scalar, genuinely nonlinear Lax-Friedrichs scheme
-
E. Tadmor: The large-time behavior of the scalar, genuinely nonlinear Lax-Friedrichs scheme. Math. Comp. 43, 353-368 (1984)
-
(1984)
Math. Comp.
, vol.43
, pp. 353-368
-
-
Tadmor, E.1
-
43
-
-
84966249400
-
Numerical viscosity and the entropy condition for conservative difference schemes
-
E. Tadmor: Numerical viscosity and the entropy condition for conservative difference schemes. Math. Comp. 43, 995-1011 (1984)
-
(1984)
Math. Comp.
, vol.43
, pp. 995-1011
-
-
Tadmor, E.1
-
44
-
-
0026203648
-
Local error estimates for discontinuous solutions of nonlinear hyperbolic equations
-
E. Tadmor: Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations. SIAM Jour. Numer. Anal. 28 (4), 891-906 (1991)
-
(1991)
SIAM Jour. Numer. Anal.
, vol.28
, Issue.4
, pp. 891-906
-
-
Tadmor, E.1
|