-
1
-
-
84983710564
-
Vortices in a rotating Bose-Einstein condensate: critical angular velocities and energy diagrams in the Thomas-Fermi regime
-
[1]
-
[1] A. Aftalion and Q. Du, Vortices in a rotating Bose-Einstein condensate: critical angular velocities and energy diagrams in the Thomas-Fermi regime, Physics Review A, 2001.
-
(2001)
Physics Review A
-
-
Aftalion, A.1
Du, Q.2
-
3
-
-
85128833691
-
High-frequency Helmholtz equa-tion, geometrical optics and particle methods
-
[3]
-
[3] J.D. Benamou, F. Castella, T. Katsaounis, and B. Perthame, High-frequency Helmholtz equa-tion, geometrical optics and particle methods, Revist. Math. Iberoam., 2001.
-
(2001)
Revist. Math. Iberoam
-
-
Benamou, J.D.1
Castella, F.2
Katsaounis, T.3
Perthame, B.4
-
4
-
-
0030588020
-
Big ray tracing: Multivalued travel time field computation using viscosity so-lution of the eikonal equation
-
[4]
-
[4] J.D. Benamou, Big ray tracing: Multivalued travel time field computation using viscosity so-lution of the eikonal equation, J. Comp. Phys., 128:463—474, 1996.
-
(1996)
J. Comp. Phys
, vol.128
, pp. 463-474
-
-
Benamou, J.D.1
-
5
-
-
0033421722
-
Direct solution of multivalued phase space solutions for Hamilton-Jacobi equa-tions
-
[5]
-
[5] J.D. Benamou, Direct solution of multivalued phase space solutions for Hamilton-Jacobi equa-tions, Comm. Pure Appl. Math., 52:1443—1475, 1999.
-
(1999)
Comm. Pure Appl. Math
, vol.52
, pp. 1443-1475
-
-
Benamou, J.D.1
-
6
-
-
0021563988
-
Averaged multivalued solutions for scalar conservation laws
-
[6]
-
[6] Y. Brenier, Averaged multivalued solutions for scalar conservation laws, SIAM J. Numer. Anal.,21:1013-1037, 1984.
-
(1984)
SIAM J. Numer. Anal
, vol.21
, pp. 1013-1037
-
-
Brenier, Y.1
-
7
-
-
0001183792
-
A kinetic formulation for multi-branch entropy solutions of scalar conservation laws
-
[7]
-
[7] Y. Brenier and L. Corrias, A kinetic formulation for multi-branch entropy solutions of scalar conservation laws, Ann. Inst. Henri Poincare., 15:169-190, 1998.
-
(1998)
Ann. Inst. Henri Poincare
, vol.15
, pp. 169-190
-
-
Brenier, Y.1
Corrias, L.2
-
8
-
-
0000275077
-
Motion of curves in three spatial dimensions using a level set approach
-
[8]
-
[8] P. Burchard, L.T. Cheng,B. Merriman, and S. Osher, Motion of curves in three spatial dimensions using a level set approach. J. Comput. Phys., 170:720-741, 2001.
-
(2001)
J. Comput. Phys
, vol.170
, pp. 720-741
-
-
Burchard, P.1
Cheng, L.T.2
Merriman, B.3
Osher, S.4
-
9
-
-
0033482438
-
Duality solutions for pressureless gases, monotone scalar conserva-tion laws, and uniqueness
-
[9]
-
[9] F. Bouchut and F. James, Duality solutions for pressureless gases, monotone scalar conserva-tion laws, and uniqueness, Commun. Partial Diff. Eqs., 24:2173-2189, 1999.
-
(1999)
Commun. Partial Diff. Eqs
, vol.24
, pp. 2173-2189
-
-
Bouchut, F.1
James, F.2
-
10
-
-
84980075530
-
Boundary layer problems in diffraction theory
-
[10]
-
[10] R.N. Buchal and J.B. Keller, Boundary layer problems in diffraction theory, Comm. Pure Appl.Math., XIII:85-114, 1960.
-
(1960)
Comm. Pure Appl.Math
, vol.XIII
, pp. 85-114
-
-
Buchal, R.N.1
Keller, J.B.2
-
11
-
-
0038300627
-
Formation of Delta-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Isentropic Euler Equations
-
[11]
-
[11] G.Q. Chen and H.L. Liu, Formation of Delta-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Isentropic Euler Equations, SIAM J. Math. Anal., 34:925-938, 2003.
-
(2003)
SIAM J. Math. Anal
, vol.34
, pp. 925-938
-
-
Chen, G.Q.1
Liu, H.L.2
-
12
-
-
85128850302
-
Concentration and cavitation in solutions of the euler equations for nonisentropic fluids as the pressure vanishes
-
[12] to appear in
-
[12] G.Q. Chen and H.L. Liu, Concentration and cavitation in solutions of the euler equations for nonisentropic fluids as the pressure vanishes, to appear in Phys. D.
-
Phys. D.
-
-
Chen, G.Q.1
Liu, H.L.2
-
13
-
-
0037137994
-
Motion of curves constrained on surfaces using a level set approach
-
[13]
-
[13] L.T. Cheng, P. Burchard, B. Merriman, and S. Osher, Motion of curves constrained on surfaces using a level set approach, J. Comput. Phys., 175(2):604-644, 2002.
-
(2002)
J. Comput. Phys
, vol.175
, Issue.2
, pp. 604-644
-
-
Cheng, L.T.1
Burchard, P.2
Merriman, B.3
Osher, S.4
-
15
-
-
33845480006
-
Reflection in a level set framework for geometric optics
-
[15] to appear
-
[15] L.T. Cheng, S. Osher, M. Kang, H. Shim, and Y.H. Tsai, Reflection in a level set framework for geometric optics, Computer Methods in Engineering and Physics, to appear.
-
Computer Methods in Engineering and Physics
-
-
Cheng, L.T.1
Osher, S.2
Kang, M.3
Shim, H.4
Tsai, Y.H.5
-
16
-
-
84950296671
-
-
[16] New York, Interscience Publishers, 62
-
[16] R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol 2, New York, Interscience Publishers, 1953-62.
-
(1953)
Methods of Mathematical Physics
, vol.2
-
-
Courant, R.1
Hilbert, D.2
-
17
-
-
84968507121
-
Viscosity solutions of Hamilton-Jacobi equations
-
[17]
-
[17] M. Crandall and P.L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. AM.Math. Soc., 282:487, 1984.
-
(1984)
Trans. AM.Math. Soc
, vol.282
, pp. 487
-
-
Crandall, M.1
Lions, P.L.2
-
18
-
-
84980174402
-
Oscillatory integrals, Lagrangian immersions and unfolding of singularities
-
[18]
-
[18] J.J. Duistermaat, Oscillatory integrals, Lagrangian immersions and unfolding of singularities,Comm. Pure Appl. Math., XXVII:207-281, 1974.
-
(1974)
Comm. Pure Appl. Math
, vol.XXVII
, pp. 207-281
-
-
Duistermaat, J.J.1
-
19
-
-
0001766126
-
Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
-
[19] W. E
-
[19] W. E, Y.G. Rykov, and Y.G. Sinai, Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics, Commun. Math. Phys., 177:349-380, 1996.
-
(1996)
Commun. Math. Phys
, vol.177
, pp. 349-380
-
-
Rykov, Y.G.1
Sinai, Y.G.2
-
20
-
-
0000647149
-
Numerical solution of the high frequency asymptotic expansion for the scalar wave equation
-
[20]
-
[20] B. Engquist, E. Fatemi, and S. Osher, Numerical solution of the high frequency asymptotic expansion for the scalar wave equation, J. Comput. Phys., 120:145-155, 1995.
-
(1995)
J. Comput. Phys
, vol.120
, pp. 145-155
-
-
Engquist, B.1
Fatemi, E.2
Osher, S.3
-
21
-
-
24644487123
-
Computational high frequency wave propagation
-
[21]
-
[21] B. Engquist and O. Runborg, Computational high frequency wave propagation, Acta Numerica,2003.
-
(2003)
Acta Numerica
-
-
Engquist, B.1
Runborg, O.2
-
22
-
-
0030571228
-
Multi-phase computations in geometrical optics
-
[22]
-
[22] B. Engquist and O. Runborg, Multi-phase computations in geometrical optics, J. Comp. Appl.Math., 74:175-1992, 1996.
-
(1996)
J. Comp. Appl.Math
, vol.74
, pp. 175-1992
-
-
Engquist, B.1
Runborg, O.2
-
23
-
-
0037141033
-
High frequency wave propagation by the segment projection method
-
[23]
-
[23] B. Engquist, O. Runborg, and T.K. Tornberg, High frequency wave propagation by the segment projection method, J. Comput. Phys., 178:373-390, 2002.
-
(2002)
J. Comput. Phys
, vol.178
, pp. 373-390
-
-
Engquist, B.1
Runborg, O.2
Tornberg, T.K.3
-
24
-
-
0030534516
-
A geometric interpretation of the heat equation with multi-valued initial data
-
[24]
-
[24] L.C. Evans, A geometric interpretation of the heat equation with multi-valued initial data,SIAM J. Math. Anal., 27:932-958, 1996.
-
(1996)
SIAM J. Math. Anal
, vol.27
, pp. 932-958
-
-
Evans, L.C.1
-
26
-
-
0010625327
-
The Schrodinger equation in classical physics
-
[26]
-
[26] S.M. Flatte, The Schrodinger equation in classical physics, AM.J. Phys., 54(12):1088-1092,1986.
-
(1986)
AM.J. Phys
, vol.54
, Issue.12
, pp. 1088-1092
-
-
Flatte, S.M.1
-
27
-
-
6544242122
-
Theory of radion-wave propagation in an inhomogeneous atmosphere for a raised source
-
[27]
-
[27] V. Fock, Theory of radion-wave propagation in an inhomogeneous atmosphere for a raised source, Bull. Acad. Sci. USSR, Ser Phys., 14, 1950.
-
(1950)
Bull. Acad. Sci. USSR, Ser Phys
, vol.14
-
-
Fock, V.1
-
29
-
-
0002375163
-
Quantum hydrodynamics, Wigner transform and the classical limit
-
[29]
-
[29] I. Gasser and P.A. Markowich, Quantum hydrodynamics, Wigner transform and the classical limit, Asymptotic Anal., 14:97-116, 1997.
-
(1997)
Asymptotic Anal
, vol.14
, pp. 97-116
-
-
Gasser, I.1
Markowich, P.A.2
-
30
-
-
0037143007
-
Using K-branch entropy solutions for multivalued geometric optics computations
-
[30]
-
[30] L. Gosse, Using K-branch entropy solutions for multivalued geometric optics computations, J.Comp. Phys., 180:155-182, 2002.
-
(2002)
J.Comp. Phys
, vol.180
, pp. 155-182
-
-
Gosse, L.1
-
31
-
-
0036003237
-
Convergence results for inhomogeneous system arising in various high frequency approximations
-
[31]
-
[31] L. Gosse and F. James, Convergence results for inhomogeneous system arising in various high frequency approximations, Numer. Math., 90:721-753, 2002.
-
(2002)
Numer. Math
, vol.90
, pp. 721-753
-
-
Gosse, L.1
James, F.2
-
32
-
-
24644490906
-
On Two Moment Systems for Computing Multiphase Semiclassical Limits of the Schrodinger Equation
-
[32] to appear
-
[32] L. Gosse, S. Jin, and X. Li, On Two Moment Systems for Computing Multiphase Semiclassical Limits of the Schrodinger Equation, Math. Model Methods Appl. Sci., to appear.
-
Math. Model Methods Appl. Sci
-
-
Gosse, L.1
Jin, S.2
Li, X.3
-
34
-
-
0039658608
-
Homogenization limits and Wigner transforms
-
[34]
-
[34] P. Gerard, P.A. Markowich, N.J. Mauser, and F. Poupaud, Homogenization limits and Wigner transforms, Comm. Pure Appl. Math., 50:323-380, 1997.
-
(1997)
Comm. Pure Appl. Math
, vol.50
, pp. 323-380
-
-
Gerard, P.1
Markowich, P.A.2
Mauser, N.J.3
Poupaud, F.4
-
35
-
-
0032301222
-
Regularization of ill-posed problems via the level set approach
-
[35]
-
[35] E. Harabetian and S. Osher, Regularization of ill-posed problems via the level set approach, SIAM J. Appl. Math., 58:1689-1706, 1998.
-
(1998)
SIAM J. Appl. Math
, vol.58
, pp. 1689-1706
-
-
Harabetian, E.1
Osher, S.2
-
36
-
-
0034503787
-
Weighted eno schemes for hamilton jacobi equations
-
[36]
-
[36] G.S. Jiang and D. Peng, Weighted eno schemes for hamilton jacobi equations, SIAM J. Scient.Comput., 21:2126-2143, 2000.
-
(2000)
SIAM J. Scient.Comput
, vol.21
, pp. 2126-2143
-
-
Jiang, G.S.1
Peng, D.2
-
37
-
-
0442331531
-
Multi-phase computations of the semiclassical limit of the Schrodinger equa-tion and related problems: Whitham Vs Wigner
-
[37]
-
[37] S. Jin and X. Li, Multi-phase computations of the semiclassical limit of the Schrodinger equa-tion and related problems: Whitham Vs Wigner, Physica D, 182:46-85, 2003.
-
(2003)
Physica D
, vol.182
, pp. 46-85
-
-
Jin, S.1
Li, X.2
-
38
-
-
3242673880
-
A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDE,s and Hamilton-Jacobi equations
-
[38]
-
[38] S. Jin and S. Osher, A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDE,s and Hamilton-Jacobi equations, Comm. Math. Sci., 1(3):575-591, 2003.
-
(2003)
Comm. Math. Sci
, vol.1
, Issue.3
, pp. 575-591
-
-
Jin, S.1
Osher, S.2
-
41
-
-
84981755544
-
Uniform asymptotic expansions at a caustic
-
[41]
-
[41] D. Ludwig, Uniform asymptotic expansions at a caustic, Comm. Pure Appl. Math., XIX:215-250, 1966.
-
(1966)
Comm. Pure Appl. Math
, vol.XIX
, pp. 215-250
-
-
Ludwig, D.1
-
42
-
-
0003599947
-
-
[42] Springer-Verlag, Berlin
-
[42] Y.A. Kravtsov and Y.I. Orlov, Caustics, Catastrophes and Wave Fields, Springer Series on Wave Phenomena, Springer-Verlag, Berlin, 1993.
-
(1993)
Caustics, Catastrophes and Wave Fields, Springer Series on Wave Phenomena
-
-
Kravtsov, Y.A.1
Orlov, Y.I.2
-
43
-
-
0000585998
-
The Cauchy problem in the large for nonlinear equations and for certain quasi-linear systems of the first order in several space variables
-
[43]
-
[43] S.N. Kruzkov, The Cauchy problem in the large for nonlinear equations and for certain quasi-linear systems of the first order in several space variables, Soviet. Math. Dokl., 5:493, 1964.
-
(1964)
Soviet. Math. Dokl
, vol.5
, pp. 493
-
-
Kruzkov, S.N.1
-
45
-
-
85128803892
-
An algorithm constructing the level set in arbitrary dimension and codimension
-
[45] UCLA CAM Report 03-07, submitted
-
[45] C. Min, An algorithm constructing the level set in arbitrary dimension and codimension, J.Comput. Phys., UCLA CAM Report 03-07, 2003, submitted.
-
(2003)
J.Comput. Phys
-
-
Min, C.1
-
46
-
-
21144473929
-
A level set formulation for the solution of the Dirichlet problem for Hamilton-Jacobi equations
-
[46]
-
[46] S. Osher, A level set formulation for the solution of the Dirichlet problem for Hamilton-Jacobi equations, SIAM J. Math. Anal., 24:1145-1152, 1993.
-
(1993)
SIAM J. Math. Anal
, vol.24
, pp. 1145-1152
-
-
Osher, S.1
-
47
-
-
0036647932
-
Geometric optics in a phase space based level set and eulerian framework
-
[47]
-
[47] 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., 179:622-648, 2002.
-
(2002)
J. Comput. Phys
, vol.179
, pp. 622-648
-
-
Osher, S.1
Cheng, L.T.2
Kang, M.3
Shim, H.4
Tsai, Y.H.5
-
49
-
-
44749084234
-
Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations
-
[49]
-
[49] S. Osher and J. Sethian, Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations, J. Comput. Phys., 79:12-49, 1988.
-
(1988)
J. Comput. Phys
, vol.79
, pp. 12-49
-
-
Osher, S.1
Sethian, J.2
-
50
-
-
0026204106
-
High order essentially non-oscillatory schemes for Hamilton-Jacobi equations
-
[50]
-
[50] S. Osher and C.W. Shu, High order essentially non-oscillatory schemes for Hamilton-Jacobi equations, SINUM, 28: 907-922, 1991.
-
(1991)
SINUM
, vol.28
, pp. 907-922
-
-
Osher, S.1
Shu, C.W.2
-
51
-
-
0001167356
-
A pde-based fast local level set method
-
[51]
-
[51] D. Peng, B. Merriman, S. Osher, H.K. Zhao, and M. Kang, A pde-based fast local level set method, J. Comput. Phys., 155: 410-438, 1999.
-
(1999)
J. Comput. Phys
, vol.155
, pp. 410-438
-
-
Peng, D.1
Merriman, B.2
Osher, S.3
Zhao, H.K.4
Kang, M.5
-
52
-
-
0037379052
-
A level set based Eulerian approach for anisotropic wave propagation
-
[52]
-
[52] J. Qian, L.T. Cheng, and S. Osher, A level set based Eulerian approach for anisotropic wave propagation, Wave Motion 37:365-379, 2003.
-
(2003)
Wave Motion
, vol.37
, pp. 365-379
-
-
Qian, J.1
Cheng, L.T.2
Osher, S.3
-
53
-
-
0034551460
-
Some new results in multi-phase geometric optics
-
[53]
-
[53] O. Runborg, Some new results in multi-phase geometric optics, Math. Model. Num. Anal.,34:1203-1231, 2000.
-
(2000)
Math. Model. Num. Anal
, vol.34
, pp. 1203-1231
-
-
Runborg, O.1
-
55
-
-
33749114513
-
The Riemann Problem for the Transport Equations in Gas Dynamics
-
[55] AMS: Providence
-
[55] W. Sheng and T. Zhang, The Riemann Problem for the Transport Equations in Gas Dynamics,Mem. Amer. Soc., 654, AMS: Providence, 1999.
-
(1999)
Mem. Amer. Soc
, vol.654
-
-
Sheng, W.1
Zhang, T.2
-
56
-
-
85128855850
-
Multivalued Geometrical Optics: Wigner func-tions versus WKB-methods in multivalued geometrical optics
-
[56]
-
[56] C. Sparber, P.A. Markowich, and N.J. Mauser, Multivalued Geometrical Optics: Wigner func-tions versus WKB-methods in multivalued geometrical optics, Asymptot. Anal., 33:153187, 2003.
-
(2003)
Asymptot. Anal
, vol.33
, pp. 153187
-
-
Sparber, C.1
Markowich, P.A.2
Mauser, N.J.3
-
57
-
-
0001118530
-
A new class of optimal high-order strong-stability-preserving time discretization methods
-
[57]
-
[57] R.J. Spiteri and S.J. Ruuth, A new class of optimal high-order strong-stability-preserving time discretization methods, SIAM J. Numer. Anal., 40:469-491, 2002.
-
(2002)
SIAM J. Numer. Anal
, vol.40
, pp. 469-491
-
-
Spiteri, R.J.1
Ruuth, S.J.2
-
58
-
-
0034687913
-
A new Eulerian method for the computation of propagation short acoustic and electromagnetic pulses
-
[58]
-
[58] J. Steinhoff, M. Fan, and L. Wang, A new Eulerian method for the computation of propagation short acoustic and electromagnetic pulses, J. Comput. Phys., 157:683-706, 2000.
-
(2000)
J. Comput. Phys
, vol.157
, pp. 683-706
-
-
Steinhoff, J.1
Fan, M.2
Wang, L.3
-
59
-
-
0017220302
-
Diffractive ray tracing of laser beams
-
[59]
-
[59] F.D. Tappert, Diffractive ray tracing of laser beams, J. Opt. SOc. AM., 66(12):1368—1373,1976.
-
(1976)
J. Opt. SOc. AM
, vol.66
, Issue.12
, pp. 1368-1373
-
-
Tappert, F.D.1
-
60
-
-
0000978807
-
-
[60] (Eds. J.B. Keller and J.S. Pa-padakis) Lecture Notes in Physics, Springer, Berlin
-
[60] F.D. Tappert, Wave propagation and underwater acoustics, (Eds. J.B. Keller and J.S. Pa-padakis) Lecture Notes in Physics, VOl. 70, Springer, Berlin, 1977.
-
(1977)
Wave propagation and underwater acoustics
, vol.70
-
-
Tappert, F.D.1
-
62
-
-
0037235382
-
A level set approach for computating discontinuous solu-tions of Hamilton-Jacobi equations
-
[62]
-
[62] Y.H.R. Tsai, Y. Giga, and S. Osher, A level set approach for computating discontinuous solu-tions of Hamilton-Jacobi equations, Math. Comp., 72:159—181, 2003.
-
(2003)
Math. Comp
, vol.72
, pp. 159-181
-
-
Tsai, Y.H.R.1
Giga, Y.2
Osher, S.3
|