Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation (Q5072017)

scientific article; zbMATH DE number 7513115

Language	Label	Description	Also known as
English	Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation	scientific article; zbMATH DE number 7513115

Statements

instance of

scholarly article

0 references

title

Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation (English)

0 references

0 references

0 references

0 references

International Journal of Computer Mathematics

0 references

publication date

25 April 2022

0 references

zbMATH Keywords

fractional nonlinear Schrödinger equation

0 references

structure-preserving algorithms

0 references

invariant energy quadratization

0 references

Runge-Kutta method

0 references

explicit conservative schemes

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1080/00207160.2021.1940978

0 references

cites work

Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations

0 references

Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs

0 references

Efficient schemes for the damped nonlinear Schrödinger equation in high dimensions

0 references

Partitioned averaged vector field methods

0 references

Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions

0 references

On the Preservation of Invariants by Explicit Runge--Kutta Methods

0 references

Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations

0 references

Explicit methods based on a class of four stage fourth order Runge-Kutta methods for preserving quadratic laws

0 references

Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation

0 references

Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation

0 references

An explicit structure-preserving algorithm for the nonlinear fractional Hamiltonian wave equation

0 references

Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities

0 references

A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel

0 references

Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation

0 references

Some physical applications of fractional Schrödinger equation

0 references

Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation

0 references

Geometric Numerical Integration

0 references

A fourth-order dissipation-preserving algorithm with fast implementation for space fractional nonlinear damped wave equations

0 references

Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian

0 references

Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation

0 references

A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach

0 references

On the continuum limit for discrete NLS with long-range lattice interactions

0 references

Fractional quantum mechanics and Lévy path integrals

0 references

A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

0 references

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

0 references

A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations

0 references

Fractional Laplacian on the torus

0 references

An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

0 references

Structure-preserving numerical methods for the fractional Schrödinger equation

0 references

A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

0 references

Symplectic scheme for the Schrödinger equation with fractional Laplacian

0 references

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

0 references

Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

0 references

Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg-Landau equations

0 references

Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations

0 references

A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation

0 references

Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

0 references

An explicit fourth-order energy-preserving scheme for Riesz space fractional nonlinear wave equations

0 references

Identifiers

zbMATH Open document ID

1499.35638

0 references

DOI

10.1080/00207160.2021.1940978

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5072017