An efficient split-step and implicit pure mesh-free method for the 2D/3D nonlinear Gross-Pitaevskii equations
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Publication:2102501
DOI10.1016/J.CPC.2018.05.007zbMath1498.35504OpenAlexW2803371828WikidataQ129798185 ScholiaQ129798185MaRDI QIDQ2102501
Zhen-Chao Chen, Tao Jiang, Deng-Shan Wang, Wei-Gang Lu, Jin Yun Yuan
Publication date: 28 November 2022
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2018.05.007
nonlinear Schrödinger equationparallelizationBose-Einstein condensatesSPHpropagation of free surface wave
NLS equations (nonlinear Schrödinger equations) (35Q55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items (6)
Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation ⋮ Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation ⋮ An accelerated novel meshless coupled Algorithm for non-local nonlinear behavior in 2D/3D space-fractional GPEs ⋮ Modeling hydrate-bearing sediment with a mixed smoothed particle hydrodynamics ⋮ A kernel gradient-free SPH method with iterative particle shifting technology for modeling low-Reynolds flows around airfoils ⋮ A high-efficient splitting step reduced-dimension pure meshless method for transient 2D/3D Maxwell's equations in complex irregular domain
Cites Work
- Unnamed Item
- A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations
- Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
- A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations
- DualSPHysics: Open-source parallel CFD solver based on smoothed particle hydrodynamics (SPH)
- An embedded split-step method for solving the nonlinear Schrödinger equation in optics
- Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
- Variational multiscale element free Galerkin method for the water wave problems
- A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
- A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations
- Dispersion relation equation preserving FDTD method for nonlinear cubic Schrödinger equation
- Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates
- Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method
- Smoothed particle hydrodynamics (SPH): an overview and recent developments
- Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method
- Symmetric smoothed particle hydrodynamics (SSPH) method and its application to elastic problems
- Modeling low Reynolds number incompressible flows using SPH
- Meshless methods: An overview and recent developments
- SHP simulation of multi-phase flow
- A generalized smoothed particle hydrodynamics method for nonlinear dynamic problems
- A new kernel function for SPH with applications to free surface flows
- An improved parallel SPH approach to solve 3D transient generalized Newtonian free surface flows
- A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
- A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method
- Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
- \(B\)-spline finite element studies of the nonlinear Schrödinger equation
- Higher order ADI method with completed Richardson extrapolation for solving unsteady convection-diffusion equations
- The \(\delta p l u s\)-SPH model: simple procedures for a further improvement of the SPH scheme
- An efficient algorithm based on splitting for the time integration of the Schrödinger equation
- Detection of Lagrangian coherent structures in the SPH framework
- A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation
- An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates
- Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
- The second approximation to cnoidal and solitary waves
- Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method
- Smoothed Particle Hydrodynamics
- Integrable properties of the general coupled nonlinear Schrödinger equations
- A Fourth-Order Time-Splitting Laguerre--Hermite Pseudospectral Method for Bose--Einstein Condensates
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