Reliability of the time splitting Fourier method for singular solutions in quantum fluids
From MaRDI portal
Publication:6155726
DOI10.1016/j.cpc.2017.09.013arXiv1603.05022OpenAlexW2963788945MaRDI QIDQ6155726
Publication date: 7 June 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.05022
nonlinear Schrödinger equationquantum fluidsGross-Pitaevskii equationFourier spectral methodtime splittingnonuniform finite differences
Related Items (7)
A \(\mu\)-mode integrator for solving evolution equations in Kronecker form ⋮ Creation of quantum knots and links driven by minimal surfaces ⋮ Semi-analytical exponential RKN integrators for efficiently solving high-dimensional nonlinear wave equations based on FFT techniques ⋮ A Fast Time Splitting Finite Difference Approach to Gross–Pitaevskii Equations ⋮ Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions ⋮ Accurate numerical determination of a self-preserving quantum vortex ring ⋮ Hydrodynamic derivation of the Gross-Pitaevskii equation in general Riemannian metric
Cites Work
- Unnamed Item
- 3D Euler about a 2D symmetry plane
- High-order time-splitting Hermite and Fourier spectral methods
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- INFFTM: fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections
- Mathematical theory and numerical methods for Bose-Einstein condensation
- Comparison of software for computing the action of the matrix exponential
- Computational Methods for Fluid Dynamics
- A vortex filament tracking method for the Gross–Pitaevskii model of a superfluid
- Vortex filament method as a tool for computational visualization of quantum turbulence
- Introduction to quantum turbulence
- Using NFFT 3---A Software Library for Various Nonequispaced Fast Fourier Transforms
- Strang Splitting for the Time-Dependent Schrödinger Equation on Sparse Grids
- Padé approximations of solitary wave solutions of the Gross–Pitaevskii equation
- Turbulent Flows
- Approach and separation of quantised vortices with balanced cores
- An introduction to quantum turbulence
- Quantized vortex dynamics and superfluid turbulence
This page was built for publication: Reliability of the time splitting Fourier method for singular solutions in quantum fluids