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1
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1842531889
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Numerical study of time-splitting spectral discretizations of nonlinear Schrodinger equations in the semi-clasical regimes
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in electronic
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W. Z. Bao, S. Jin and P. A. Markowich, Numerical study of time-splitting spectral discretizations of nonlinear Schrodinger equations in the semi-clasical regimes, SIAM J. Sci. Comput. 25 (2003) 27-64 (in electronic).
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(2003)
SIAM J. Sci. Comput
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Bao, W.Z.1
Jin, S.2
Markowich, P.A.3
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2
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0037138007
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On time-spliting spectral approximations for the Schrödinger equation in the semiclassical regime
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W. Z. Bao, S. Jin and P. A. Markowich, On time-spliting spectral approximations for the Schrödinger equation in the semiclassical regime, J. Comput. Phys. 175 (2002) 487-524.
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(2002)
J. Comput. Phys
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Bao, W.Z.1
Jin, S.2
Markowich, P.A.3
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3
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0442331533
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Numerical approximations of pressureless and isothermal gas dynamics
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F. Bouchut, S. Jin and X. T. Li, Numerical approximations of pressureless and isothermal gas dynamics, SIAM J. Num. Anal. 41 (2003) 135-158.
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(2003)
SIAM J. Num. Anal
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Bouchut, F.1
Jin, S.2
Li, X.T.3
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4
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0021380684
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Particle methods for the 1D Vlasov-Poisson equations
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G. H. Cottet and P. A. Raviart, Particle methods for the 1D Vlasov-Poisson equations, SIAM J. Num. Anal. 21 (1984) 52-76.
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Cottet, G.H.1
Raviart, P.A.2
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5
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18344388470
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Discretization of Dirac delta functions in level set methods
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B. Engquist, A. K. Tornberg and R. Tsai, Discretization of Dirac delta functions in level set methods, J. Comput. Phys. 207(1) (2005) 28-51.
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J. Comput. Phys
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Engquist, B.1
Tornberg, A.K.2
Tsai, R.3
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6
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0039658608
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Homogenization limits and Wigner transforms
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P. Gerard, P. A. Markowich, N. J. Mauser and F. Poupaud, Homogenization limits and Wigner transforms, Commun. Pure Appl. Math. 50(4) (1997) 323-379.
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Commun. Pure Appl. Math
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Gerard, P.1
Markowich, P.A.2
Mauser, N.J.3
Poupaud, F.4
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7
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0442275913
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On two moment systems for computing multiphase semiclassical limits of the Schrödinger equation
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L. Gosse, S. Jin and X. T. Li, On two moment systems for computing multiphase semiclassical limits of the Schrödinger equation, Math. Model Meth. Appl. Sci. 13(12) (2003) 1689-1723.
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Math. Model Meth. Appl. Sci
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Gosse, L.1
Jin, S.2
Li, X.T.3
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8
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25444466220
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Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice C IIII. From ab initio models to WKB for Schrödinger-Poisson
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L. Gosse and N. J. Mauser, Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice C IIII. From ab initio models to WKB for Schrödinger-Poisson, J. Comput. Phys. 211 (2006) 326-346.
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J. Comput. Phys
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Gosse, L.1
Mauser, N.J.2
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9
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0442331531
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Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner
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S. Jin and X. T. Li, Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner, Phys. D 182 (2003) 46-85.
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Phys. D
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Jin, S.1
Li, X.T.2
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10
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37649029921
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An Eulerian method for computing multi-valued solutions of the Euler-Poisson equations and applications to wave breaking in klystrons
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X. T. Li, J. G. Wohlbier, S. Jin and J. H. Booske, An Eulerian method for computing multi-valued solutions of the Euler-Poisson equations and applications to wave breaking in klystrons, Phys. Rev. E 70 (2004) 016502.
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Phys. Rev. E
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Li, X.T.1
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Booske, J.H.4
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12
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85066352204
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A field space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations
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to appear in
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H. Liu and Z. M. Wang, A field space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations, to appear in J. Comput. Phys.
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J. Comput. Phys
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Liu, H.1
Wang, Z.M.2
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13
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0001599323
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Concentrations in the one-dimensional Vlasov-Poisson equations: Temporal development and non-unique weak solutions in the single component case
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Majda, A.J.1
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Zheng, Y.X.3
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14
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0000269855
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The classical limit of a self-consistent quantum-Vlasov equation in 3D
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Math. Models Meth. Appl. Sci
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Markowich, P.A.1
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15
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84887251437
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Wigner functions vs. WKB methods in multivalued geometrical optics
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C. Sparber, P. A. Markowich and N. J. Mauser, Wigner functions vs. WKB methods in multivalued geometrical optics, Asympt. Anal. 33 (2003) 153-187.
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Asympt. Anal
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Sparber, C.1
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16
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33745014742
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On the quantum correction for thermodynamic equilibrium
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0036100942
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The limit from the Schrödinger-Poisson to the Vlasov-Poisson equations with general data in one dimension
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P. Zhang, Y. X. Zheng and N. J. Mauser, The limit from the Schrödinger-Poisson to the Vlasov-Poisson equations with general data in one dimension, Commun. Pure Appl. Math. LV (2002) 0582-0632.
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Commun. Pure Appl. Math
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Zhang, P.1
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Mauser, N.J.3
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18
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84990610649
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Existence of global weak solutions to one-component Vlasov-Poisson and Fokker-Planck-Poisson systems in one space dimension with measures as initial data
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