A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates
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Publication:956334
DOI10.1016/j.jcp.2008.07.017zbMath1149.76039OpenAlexW1971447654MaRDI QIDQ956334
Publication date: 25 November 2008
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2008.07.017
Spectral methods applied to problems in fluid mechanics (76M22) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)
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Cites Work
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- Convergence rate of dimension reduction in Bose-Einstein condensates
- Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates
- Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
- The use of generalized Laguerre polynomials in spectral methods for nonlinear differential equations
- Spectral and pseudospectral approximations using Hermite functions: Application to the Dirac equation
- Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
- Ground, symmetric and central vortex states in rotating Bose-Einstein condensates
- A Mass and Magnetization Conservative and Energy-Diminishing Numerical Method for Computing Ground State of Spin-1 Bose–Einstein Condensates
- Gross–Pitaevskii dynamics of Bose–Einstein condensates and superfluid turbulence
- Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- The Hermite Spectral Method for Gaussian-Type Functions
- Computing Ground States of Spin-1 Bose–Einstein Condensates by the Normalized Gradient Flow
- A Fourth-Order Time-Splitting Laguerre--Hermite Pseudospectral Method for Bose--Einstein Condensates
- Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains
- A new generalized Laguerre spectral approximation and its applications
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