On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime

Journal of Computational Physics

Volumn 175, Issue 2, 2002, Pages 487-524

  Bao, Weizhu ^a   Jin, Shi ^b   Markowich, Peter A ^c  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

^c UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE DIFFERENCE METHOD; MESH GENERATION; NONLINEAR EQUATIONS;

FINITE DIFFERENCE APPROXIMATIONS; MESH SIZE; PLANCK CONSTANTS; SIZE CONSTRAINT; SPATIAL MESH; SPECTRAL APPROXIMATIONS; STABLE TIME; TIME SPLITTING; TIME STEP; UNCONDITIONALLY STABLE;

WAVE FUNCTIONS;

EID: 0037138007     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6956     Document Type: Article

References (19)

1. Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semi-clasical regimes
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5. Semiclassical limit of the derivative nonlinear Schrödinger equation
6. High frequency behavior of the focusing nonlinear Schrödinger equation with random inhomogeneities
7. Quantum hydrodynamics, Wigner transforms and the classical limit
8. Microlocal defect measures
9. Homogenization limits and Wigner transforms
10. The semiclassical limit of the defocusing NLS hierarchy
11. The behavior of solutions of the NLS equation in the semiclassical limit
12. A Wigner function approach to semiclassical limits: Electrons in a periodic potential
13. Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit
14. A Wigner-Measure Analysis of the Dufort-Frankel Scheme for the Schrödinger Equation
15. On the semiclassical limit of the focusing nonlinear Schrödinger equation
16. Spectral and pseudo-spectral methods for advection equations
17. Pseudo-spectral solution of nonlinear Schrödinger equation
18. H-measures: A new approach for studying homogenization, oscillations and concentration effects in partial differential equations