English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In order to inherit numerically the ergodicity of the damped stochasticnonlinear Schr\"odinger equation with additive noise, we propose a fullydiscrete scheme, whose spatial direction is based on spectral Galerkin methodand temporal direction is based on a modification of the implicit Euler scheme.We not only prove the unique ergodicity of the numerical solutions of bothspatial semi-discretization and full discretization, but also present errorestimations on invariant measures, which gives order $2$ in spatial directionand order ${\frac12}$ in temporal direction.

Approximation of Invariant Measure for Damped Stochastic Nonlinear Schr\"{o}dinger Equation via an Ergodic Numerical Scheme