High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit (Q6112140)

scientific article; zbMATH DE number 7708922

Language	Label	Description	Also known as
English	High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit	scientific article; zbMATH DE number 7708922

Statements

instance of

scholarly article

0 references

title

High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit (English)

0 references

0 references

0 references

Applied Mathematics Letters

0 references

publication date

7 July 2023

0 references

zbMATH Keywords

Schrödinger equation

0 references

exponential Runge-Kutta method

0 references

semiclassical limit

0 references

physical observable

0 references

conservative method

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Semi-classical limit of a Schrödinger equation for a stratified material

0 references

Q5715564

0 references

The nonlinear Schrödinger equation. Self-focusing and wave collapse

0 references

Q4339594

0 references

Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations

0 references

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

0 references

Difference schemes for solving the generalized nonlinear Schrödinger equation

0 references

A Relaxation Scheme for the Nonlinear Schrödinger Equation

0 references

The numerical integration of relative equilibrium solutions. The nonlinear Schrodinger equation

0 references

Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap

0 references

On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime

0 references

Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

0 references

Adaptive splitting methods for nonlinear Schrödinger equations in the semiclassical regime

0 references

On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity

0 references

Compact Exponential Conservative Approaches for the Schrödinger Equation in the Semiclassical Regimes

0 references

Mathematical and computational methods for semiclassical Schrödinger equations

0 references

Computing quantum dynamics in the semiclassical regime

0 references

Geometric Numerical Integration

0 references

Generalized integrating factor methods for stiff PDEs

0 references

Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

0 references

A numerical study of the semi-classical limit of the focusing nonlinear Schrödinger equation

0 references

Efficient dissipation-preserving approaches for the damped nonlinear Schrödinger equation

0 references

DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates

0 references

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

0 references

Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains

0 references

Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1016/J.AML.2023.108703

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6112140