Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system
type: Item
instance of: scholarly article
title: Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system
zbMATH Open document ID: 1486.65129
author: Adán J. Serna-Reyes
author: Jorge Eduardo Macías-Díaz
published in: Journal of Computational and Applied Mathematics
publication date: 2021-12-14T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 7444616
zbMATH Keywords: fractional Gross-Pitaevskii system
zbMATH Keywords: Riesz space-fractional derivatives
zbMATH Keywords: conservation of energy
zbMATH Keywords: stability analysis
zbMATH Keywords: convergence analysis
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113413
OpenAlex ID: W3124001662
cites work: Symplectic methods for the nonlinear Schrödinger equation
cites work: Numerical solution of the sine-Gordon equation
cites work: Two energy conserving numerical schemes for the sine-Gordon equation
cites work: Numerical solution of a nonlinear Klein-Gordon equation
cites work: An implicit four-step computational method in the study on the effects of damping in a modified Fermi-Pasta-Ulam medium
cites work: A numerical method with properties of consistency in the energy domain for a class of dissipative nonlinear wave equations with applications to a Dirichlet boundary-value problem
cites work: Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations.
cites work: An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics
cites work: DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
cites work: Q3146209
cites work: A new energy and momentum conserving algorithm for the non‐linear dynamics of shells
cites work: Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
cites work: Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
cites work: Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations
cites work: Numerical simulation for a nonlinear partial differential equation with variable coefficients by means of the discrete variational derivative method
cites work: The discrete variational derivative method based on discrete differential forms
cites work: A novel discrete variational derivative method using ``average-difference methods''
cites work: GENERIC formalism and discrete variational derivative method for the two-dimensional vorticity equation
cites work: Application of the variational principle to deriving energy-preserving schemes for the Hamilton equation
cites work: An alternating discrete variational derivative method for coupled partial differential equations
cites work: Some energy preserving finite element schemes based on the discrete variational derivative method
cites work: Dissipative/conservative Galerkin method using discrete partial derivatives for nonlinear evolution equations
cites work: On the transmission of binary bits in discrete Josephson-junction arrays
cites work: On the propagation of binary signals in damped mechanical systems of oscillators
cites work: Continuous limit of discrete systems with long-range interaction
cites work: Conservation laws and Hamilton's equations for systems with long-range interaction and memory
cites work: Applications of Fractional Calculus to the Theory of Viscoelasticity
cites work: The Fractional Order Fourier Transform and its Application to Quantum Mechanics
cites work: Riesz potential operators and inverses via fractional centred derivatives
cites work: A new difference scheme for the time fractional diffusion equation
cites work: A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain
cites work: Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines
cites work: Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi-Pasta-Ulam chains
cites work: Supratransmission in \(\beta\)-Fermi-Pasta-Ulam chains with different ranges of interactions
cites work: Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
cites work: Two finite difference schemes for time fractional diffusion-wave equation
cites work: Analysis of a meshless method for the time fractional diffusion-wave equation
cites work: A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
cites work: An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions
cites work: On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme
cites work: Q5596338
cites work: Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations
cites work: Q5522517
cites work: Q4144349
DOI: 10.1016/J.CAM.2021.113413
description: scientific article; zbMATH DE number 7444616