An efficient split-step and implicit pure mesh-free method for the 2D/3D nonlinear Gross-Pitaevskii equations
type: Item
instance of: scholarly article
title: An efficient split-step and implicit pure mesh-free method for the 2D/3D nonlinear Gross-Pitaevskii equations
zbMATH Open document ID: 1498.35504
author: Tao Jiang
author: Zhen-Chao Chen
author: Wei-Gang Lu
author: Deng-Shan Wang
author: Jinyun Yuan
published in: Computer Physics Communications
publication date: 2022-11-28T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 65M50
zbMATH DE Number: 7624465
zbMATH Keywords: SPH
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: Bose-Einstein condensates
zbMATH Keywords: parallelization
zbMATH Keywords: propagation of free surface wave
MaRDI profile type: Publication
full work available at URL: j.cpc.2018.05.007
OpenAlex ID: W2803371828
cites work: A conservative Fourier pseudo-spectral method for the nonlinear Schrödinger equation
cites work: Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
cites work: Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
cites work: An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates
cites work: A Fourth-Order Time-Splitting Laguerre--Hermite Pseudospectral Method for Bose--Einstein Condensates
cites work: A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
cites work: A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations
cites work: Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
cites work: An efficient algorithm based on splitting for the time integration of the Schrödinger equation
cites work: Integrable properties of the general coupled nonlinear Schrödinger equations
cites work: Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
cites work: Q4321926
cites work: Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates
cites work: A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations
cites work: A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations
cites work: Q1738885
cites work: Dispersion relation equation preserving FDTD method for nonlinear cubic Schrödinger equation
cites work: \(B\)-spline finite element studies of the nonlinear Schrödinger equation
cites work: A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation
cites work: Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method
cites work: An embedded split-step method for solving the nonlinear Schrödinger equation in optics
cites work: Meshless methods: An overview and recent developments
cites work: Smoothed Particle Hydrodynamics
cites work: Smoothed particle hydrodynamics (SPH): an overview and recent developments
cites work: DualSPHysics: Open-source parallel CFD solver based on smoothed particle hydrodynamics (SPH)
cites work: SHP simulation of multi-phase flow
cites work: A generalized smoothed particle hydrodynamics method for nonlinear dynamic problems
cites work: Modeling low Reynolds number incompressible flows using SPH
cites work: Detection of Lagrangian coherent structures in the SPH framework
cites work: An improved parallel SPH approach to solve 3D transient generalized Newtonian free surface flows
cites work: The \(\delta p l u s\)-SPH model: simple procedures for a further improvement of the SPH scheme
cites work: Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method
cites work: Wave propagation in functionally graded materials by modified smoothed particle hydrodynamics (MSPH) method
cites work: Symmetric smoothed particle hydrodynamics (SSPH) method and its application to elastic problems
cites work: A new kernel function for SPH with applications to free surface flows
cites work: Higher order ADI method with completed Richardson extrapolation for solving unsteady convection-diffusion equations
cites work: Variational multiscale element free Galerkin method for the water wave problems
cites work: The second approximation to cnoidal and solitary waves
Wikidata QID: Q129798185
DOI: 10.1016/J.CPC.2018.05.007
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description: scientific article; zbMATH DE number 7624465