Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation
DOI10.1155/2009/283959zbMath1188.65138OpenAlexW2079056111WikidataQ58647434 ScholiaQ58647434MaRDI QIDQ965726
Publication date: 26 April 2010
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/222777
stabilitynumerical experimentssemiclassical limitdefocusing nonlinear Schrödinger equationlarge time-stepping Fourier spectral methods
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On large time-stepping methods for the Cahn-Hilliard equation
- Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit
- Onset of oscillations in nonsoliton pulses in nonlinear dispersive fibers
- Regularity and uniqueness of solutions to a parabolic system in nonequilibrium thermodynamics
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- A semi-implicit moving mesh method for the focusing nonlinear Schrödinger equation
- A numerical study of the semi-classical limit of the focusing nonlinear Schrödinger equation
- Nonlinear problems in quantum semiconductor modeling.
- On the semiclassical limit of the focusing nonlinear Schrödinger equation
- On the exact solution of the geometric optics approximation of the defocusing nonlinear Schrödinger equation.
- Remarques sur les mesures de Wigner
- H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
- Microlocal defect measures
- The semiclassical limit of the defocusing NLS hierarchy
- A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential
- Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes
- A Wigner-Measure Analysis of the Dufort--Frankel Scheme for the Schrödinger Equation
- Thin film epitaxy with or without slope selection
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
This page was built for publication: Large time-stepping spectral methods for the semiclassical limit of the defocusing nonlinear Schrödinger equation