-
1
-
-
0037138007
-
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
-
Bao W.Z., Jin S., Markowich P.A., On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. J. Comput. Phys. 175:2002;487-524.
-
(2002)
J. Comput. Phys.
, vol.175
, pp. 487-524
-
-
Bao, W.Z.1
Jin, S.2
Markowich, P.A.3
-
2
-
-
0030588020
-
Big ray tracing: Multivalued travel time field computation using viscosity solution of the eikonal equation
-
Benamou J.-D., Big ray tracing: multivalued travel time field computation using viscosity solution of the eikonal equation. J. Comput. Phys. 128(4):1996;463-474.
-
(1996)
J. Comput. Phys.
, vol.128
, Issue.4
, pp. 463-474
-
-
Benamou, J.-D.1
-
3
-
-
0033421722
-
Direct solution of multivalued phase space solutions for Hamilton-Jacobi equation
-
Benamou J.-D., Direct solution of multivalued phase space solutions for Hamilton-Jacobi equation. Commun. Pure Appl. Math. 52(11):1999;1443-1475.
-
(1999)
Commun. Pure Appl. Math.
, vol.52
, Issue.11
, pp. 1443-1475
-
-
Benamou, J.-D.1
-
5
-
-
0442331533
-
Numerical approximations of pressureless gas and isothermal gas dynamics
-
F. Bouchut, Shi Jin, X.T. Li, Numerical approximations of pressureless gas and isothermal gas dynamics, SIAM J. Num. Anal. 41 (2003) 135-158.
-
(2003)
SIAM J. Num. Anal.
, vol.41
, pp. 135-158
-
-
Bouchut, F.1
Jin, S.2
Li, X.T.3
-
6
-
-
0001183792
-
A kinetic formulation for multibranch entropy solutions of scalar conservation laws
-
Brenier Y., Corrias L., A kinetic formulation for multibranch entropy solutions of scalar conservation laws. Ann. Inst. Henry Poincaré 15(2):1998;169-190.
-
(1998)
Ann. Inst. Henry Poincaré
, vol.15
, Issue.2
, pp. 169-190
-
-
Brenier, Y.1
Corrias, L.2
-
8
-
-
0001454943
-
Sticky particles and scalar conservation laws
-
Brenier Y., Grenier E., Sticky particles and scalar conservation laws. SIAM J. Numer. Anal. 35:1998;2317-2328.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2317-2328
-
-
Brenier, Y.1
Grenier, E.2
-
10
-
-
0001766126
-
Generalized variational principle, global weak solutions and behavior with random initial data
-
W. E, Y.G. Rykov, Y.G. Sinai, Generalized variational principle, global weak solutions and behavior with random initial data, Commun. Math. Phys. 177 (1996) 349-380.
-
(1996)
Commun. Math. Phys.
, vol.177
, pp. 349-380
-
-
E., W.1
Rykov, Y.G.2
Sinai, Y.G.3
-
11
-
-
0000647149
-
Numerical solution of the high frequency asymptotic expansion for the scalar wave equation
-
Engquist B., Fatemi E., Osher S., Numerical solution of the high frequency asymptotic expansion for the scalar wave equation. J. Comput. Phys. 120(1):1995;145-155.
-
(1995)
J. Comput. Phys.
, vol.120
, Issue.1
, pp. 145-155
-
-
Engquist, B.1
Fatemi, E.2
Osher, S.3
-
12
-
-
0030571228
-
Multi-phase computations in geometrical optics
-
Engquist B., Runborg O., Multi-phase computations in geometrical optics. J. Comput. Appl. Math. 74:1996;175-192.
-
(1996)
J. Comput. Appl. Math.
, vol.74
, pp. 175-192
-
-
Engquist, B.1
Runborg, O.2
-
13
-
-
0009939884
-
High frequency wave propagation by the segment projection methods
-
B. Engquist, O. Runborg, A.-K. Tornberg, High frequency wave propagation by the segment projection methods, UCAL CAM Report 01-13, 2001.
-
(2001)
UCAL CAM Report
, vol.13
-
-
Engquist, B.1
Runborg, O.2
Tornberg, A.-K.3
-
15
-
-
84980178052
-
Multi-phase averaging and the inverse spectral solution of the Korteweg-de Vries equation
-
Flaschka H., Forest M.G., Mclaughlin D.W., Multi-phase averaging and the inverse spectral solution of the Korteweg-de Vries equation. Commun. Pure Appl. Math. 33(6):1980;739-784.
-
(1980)
Commun. Pure Appl. Math.
, vol.33
, Issue.6
, pp. 739-784
-
-
Flaschka, H.1
Forest, M.G.2
Mclaughlin, D.W.3
-
16
-
-
0002412295
-
Geometry and modulation theory for the periodic nonlinear Schrödinger equation
-
Minneapolis, Minnesota
-
M.G. Forest, J.E. Lee, Geometry and modulation theory for the periodic nonlinear Schrödinger equation, Oscillation Theory, Computation, and Methods of Compensated Compactness, Minneapolis, Minnesota, 1985, pp. 35-69, IMA Volume of Mathematics with Applications, vol. 2, Springer, New York, 1986.
-
(1985)
Oscillation Theory, Computation, and Methods of Compensated Compactness
, pp. 35-69
-
-
Forest, M.G.1
Lee, J.E.2
-
17
-
-
0002412295
-
-
Springer, New York
-
M.G. Forest, J.E. Lee, Geometry and modulation theory for the periodic nonlinear Schrödinger equation, Oscillation Theory, Computation, and Methods of Compensated Compactness, Minneapolis, Minnesota, 1985, pp. 35-69, IMA Volume of Mathematics with Applications, vol. 2, Springer, New York, 1986.
-
(1986)
IMA Volume of Mathematics with Applications
, vol.2
-
-
-
18
-
-
0002375163
-
Quantum hydrodynamics, Wigner transforms and the classical limits
-
Gasser I., Markowich P.A., Quantum hydrodynamics, Wigner transforms and the classical limits. Asymptotic Anal. 14:1997;97-116.
-
(1997)
Asymptotic Anal.
, vol.14
, pp. 97-116
-
-
Gasser, I.1
Markowich, P.A.2
-
19
-
-
0039658608
-
Homogenization limits and Wigner transforms
-
Gerard P., Markowich P.A., Mauser N.J., Poupaud F., Homogenization limits and Wigner transforms. Commun. Pure Appl. Math. 50(4):1997;323-379.
-
(1997)
Commun. Pure Appl. Math.
, vol.50
, Issue.4
, pp. 323-379
-
-
Gerard, P.1
Markowich, P.A.2
Mauser, N.J.3
Poupaud, F.4
-
20
-
-
0037143007
-
Using K -branch entropy solutions for multivalued geometric optics computations
-
Gosse L., Using. K -branch entropy solutions for multivalued geometric optics computations J. Comput. Phys. 180:2002;155-182.
-
(2002)
J. Comput. Phys.
, vol.180
, pp. 155-182
-
-
Gosse, L.1
-
21
-
-
0442275913
-
Two Moment Systems for computing multi-phase semiclassical limits of the Schrödinger equation
-
submitted
-
L. Gosse, Shi Jin, X.T. Li, Two Moment Systems for computing multi-phase semiclassical limits of the Schrödinger equation, Math. Models Methods Appl. Sci., submitted.
-
Math. Models Methods Appl. Sci.
-
-
Gosse, L.1
Jin, S.2
Li, X.T.3
-
22
-
-
0012307257
-
From the solution of the Tsarev system to the solution of the Whitham equations
-
T. Grava, From the solution of the Tsarev system to the solution of the Whitham equations, Math. Phys. Anal. Geom. 4 (2001) 65-96.
-
(2001)
Math. Phys. Anal. Geom.
, vol.4
, pp. 65-96
-
-
Grava, T.1
-
23
-
-
0000953038
-
The behavior of solutions of the NLS equations in the semiclassical limit
-
Singular Limits of Dispersive Waves, Lyon, Plenum, New York
-
Shan Jin, C.D. Levermore, D.W. McLaughlin, The behavior of solutions of the NLS equations in the semiclassical limit, Singular Limits of Dispersive Waves, Lyon, Nato Adv. Sci. Inst. Ser. B Phys. 320, Plenum, New York, 1991, pp. 235-255.
-
(1991)
Nato Adv. Sci. Inst. Ser. B Phys.
, vol.320
, pp. 235-255
-
-
Jin, S.1
Levermore, C.D.2
McLaughlin, D.W.3
-
26
-
-
84990575581
-
The small dispersion limit of the Korteweg-de Vries equation. III
-
Lax P.D., Levermore C.D., The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math. 36(3):1983;253-290 Lax P.D., Levermore C.D., The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math. 36(5):1983;571-593 Lax P.D., Levermore C.D., The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math. 36(6):1983;809-830.
-
(1983)
Commun. Pure Appl. Math.
, vol.36
, Issue.3
, pp. 253-290
-
-
Lax, P.D.1
Levermore, C.D.2
-
27
-
-
84990602637
-
The small dispersion limit of the Korteweg-de Vries equation. III
-
Lax P.D., Levermore C.D., The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math. 36(3):1983;253-290 Lax P.D., Levermore C.D., The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math. 36(5):1983;571-593 Lax P.D., Levermore C.D., The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math. 36(6):1983;809-830.
-
(1983)
Commun. Pure Appl. Math.
, vol.36
, Issue.5
, pp. 571-593
-
-
Lax, P.D.1
Levermore, C.D.2
-
28
-
-
84990602637
-
The small dispersion limit of the Korteweg-de Vries equation. III
-
Lax P.D., Levermore C.D., The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math. 36(3):1983;253-290 Lax P.D., Levermore C.D., The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math. 36(5):1983;571-593 Lax P.D., Levermore C.D., The small dispersion limit of the Korteweg-de Vries equation. III. Commun. Pure Appl. Math. 36(6):1983;809-830.
-
(1983)
Commun. Pure Appl. Math.
, vol.36
, Issue.6
, pp. 809-830
-
-
Lax, P.D.1
Levermore, C.D.2
-
29
-
-
1642330162
-
-
Ph.D. Thesis, University of Wisconsin-Madison
-
X.T. Li, Ph.D. Thesis, University of Wisconsin-Madison, 2002.
-
(2002)
-
-
Li, X.T.1
-
31
-
-
21844506272
-
Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations
-
Lions P.L., Souganidis P.E., Convergence of MUSCL and filtered schemes for scalar conservation laws and Hamilton-Jacobi equations. Numer. Math. 69(4):1995;441-470.
-
(1995)
Numer. Math.
, vol.69
, Issue.4
, pp. 441-470
-
-
Lions, P.L.1
Souganidis, P.E.2
-
32
-
-
36449006348
-
A Wigner function approach to semiclassical limits: Electrons in a periodic potential
-
Markowich P.A., Mauser N.J., Poupaud F., A Wigner function approach to semiclassical limits: electrons in a periodic potential. J. Math. Phys. 35:1994;1066-1094.
-
(1994)
J. Math. Phys.
, vol.35
, pp. 1066-1094
-
-
Markowich, P.A.1
Mauser, N.J.2
Poupaud, F.3
-
33
-
-
0033480955
-
Numerical approximation of quadratic observables of Schrödinger-type equations in the semiclassical limit
-
Markowich P.A., Pietra P., Pohl C., Numerical approximation of quadratic observables of Schrödinger-type equations in the semiclassical limit. Numer. Math. 81:1999;595-630.
-
(1999)
Numer. Math.
, vol.81
, pp. 595-630
-
-
Markowich, P.A.1
Pietra, P.2
Pohl, C.3
-
34
-
-
0141645582
-
A Wigner-Measure analysis of the Dufort-Frankel scheme for the Schrödinger equation
-
P.A. Markowich, P. Pietra, C. Pohl, H.P. Stimming, A Wigner-Measure analysis of the Dufort-Frankel scheme for the Schrödinger equation, SIAM J. Num. Anal. 40 (2002) 1281-1310.
-
(2002)
SIAM J. Num. Anal.
, vol.40
, pp. 1281-1310
-
-
Markowich, P.A.1
Pietra, P.2
Pohl, C.3
Stimming, H.P.4
-
36
-
-
0036647932
-
Geometric optics in a phase space based level set and Eulerian framework
-
S. Osher, L.T. Cheng, M. Kang, H. Shim, Y.H. Tsai, Geometric optics in a phase space based level set and Eulerian framework, J. Comp. Phys. 79 (2002) 622-648.
-
(2002)
J. Comp. Phys.
, vol.79
, pp. 622-648
-
-
Osher, S.1
Cheng, L.T.2
Kang, M.3
Shim, H.4
Tsai, Y.H.5
-
38
-
-
0034551460
-
Some new results in multi-phase geometrical optics
-
Runborg O., Some new results in multi-phase geometrical optics. Math. Model Numer. Anal. 34:2000;1203-1231.
-
(2000)
Math. Model Numer. Anal.
, vol.34
, pp. 1203-1231
-
-
Runborg, O.1
-
39
-
-
0032623122
-
The Riemann problem for the transportation equations in gas dynamics
-
Sheng W., Zhang T., The Riemann problem for the transportation equations in gas dynamics. Mem. Am. Math. Soc. 137:1999;194.
-
(1999)
Mem. Am. Math. Soc.
, vol.137
, pp. 194
-
-
Sheng, W.1
Zhang, T.2
-
42
-
-
84990614472
-
The generation of modulated wavetrains in the solution of the Korteweg-de Vries equation
-
Venakides S., The generation of modulated wavetrains in the solution of the Korteweg-de Vries equation. Commun. Pure Appl. Math. 38(3):1985;883-909.
-
(1985)
Commun. Pure Appl. Math.
, vol.38
, Issue.3
, pp. 883-909
-
-
Venakides, S.1
-
43
-
-
0000362609
-
Uniqueness of generalized solution for the Cauchy problem of transportation equations
-
Wang Z., Ding X., Uniqueness of generalized solution for the Cauchy problem of transportation equations. Acta Math. Sci. English Ed. 17:1997;341-352.
-
(1997)
Acta Math. Sci. English Ed.
, vol.17
, pp. 341-352
-
-
Wang, Z.1
Ding, X.2
-
44
-
-
0001273346
-
Non-linear dispersive waves
-
Whitham G.B., Non-linear dispersive waves. Proc. Roy. Soc., Ser. A. 283:1965;238-261.
-
(1965)
Proc. Roy. Soc., Ser. A
, vol.283
, pp. 238-261
-
-
Whitham, G.B.1
-
46
-
-
33745014742
-
On the quantum correction for thermodynamic equilibrium
-
Wigner E., On the quantum correction for thermodynamic equilibrium. Phys. Rev. 40:1932;749-759.
-
(1932)
Phys. Rev.
, vol.40
, pp. 749-759
-
-
Wigner, E.1
|