Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system (Q2059607)

scientific article; zbMATH DE number 7444616

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English	Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system	scientific article; zbMATH DE number 7444616

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instance of

scholarly article

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title

Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system (English)

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author

Adán J. Serna-Reyes

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Jorge Eduardo Macías-Díaz

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published in

Journal of Computational and Applied Mathematics

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publication date

14 December 2021

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zbMATH Keywords

fractional Gross-Pitaevskii system

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Riesz space-fractional derivatives

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conservation of energy

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stability analysis

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convergence analysis

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.cam.2021.113413

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cites work

Symplectic methods for the nonlinear Schrödinger equation

0 references

Numerical solution of the sine-Gordon equation

0 references

Two energy conserving numerical schemes for the sine-Gordon equation

0 references

Numerical solution of a nonlinear Klein-Gordon equation

0 references

An implicit four-step computational method in the study on the effects of damping in a modified Fermi-Pasta-Ulam medium

0 references

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

0 references

Energy conserving/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations.

0 references

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

0 references

DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS

0 references

Q3146209

0 references

A new energy and momentum conserving algorithm for the non‐linear dynamics of shells

0 references

Exact energy and momentum conserving algorithms for general models in nonlinear elasticity

0 references

Finite-difference schemes for nonlinear wave equation that inherit energy conservation property

0 references

Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations

0 references

Numerical simulation for a nonlinear partial differential equation with variable coefficients by means of the discrete variational derivative method

0 references

The discrete variational derivative method based on discrete differential forms

0 references

A novel discrete variational derivative method using ``average-difference methods''

0 references

GENERIC formalism and discrete variational derivative method for the two-dimensional vorticity equation

0 references

Application of the variational principle to deriving energy-preserving schemes for the Hamilton equation

0 references

An alternating discrete variational derivative method for coupled partial differential equations

0 references

Some energy preserving finite element schemes based on the discrete variational derivative method

0 references

Dissipative/conservative Galerkin method using discrete partial derivatives for nonlinear evolution equations

0 references

On the transmission of binary bits in discrete Josephson-junction arrays

0 references

On the propagation of binary signals in damped mechanical systems of oscillators

0 references

Continuous limit of discrete systems with long-range interaction

0 references

Conservation laws and Hamilton's equations for systems with long-range interaction and memory

0 references

Applications of Fractional Calculus to the Theory of Viscoelasticity

0 references

The Fractional Order Fourier Transform and its Application to Quantum Mechanics

0 references

Riesz potential operators and inverses via fractional centred derivatives

0 references

A new difference scheme for the time fractional diffusion equation

0 references

A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain

0 references

Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines

0 references

Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi-Pasta-Ulam chains

0 references

Supratransmission in \(\beta\)-Fermi-Pasta-Ulam chains with different ranges of interactions

0 references

Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation

0 references

Two finite difference schemes for time fractional diffusion-wave equation

0 references

Analysis of a meshless method for the time fractional diffusion-wave equation

0 references

A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives

0 references

An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions

0 references

On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme

0 references

Q5596338

0 references

Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations

0 references

Q5522517

0 references

Q4144349

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Identifiers

zbMATH Open document ID

1486.65129

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Mathematics Subject Classification ID

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10.1016/J.CAM.2021.113413

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Sitelinks

Mathematics(1 entry)

mardi Publication:2059607