In this paper, we propose a linearized finite element method (FEM) for solving the cubic
nonlinear Schrödinger equation with wave operator. In this method, a modified leap–frog …

An energy‐preserving scheme is proposed for the three‐coupled nonlinear Schrödinger (T‐
CNLS) equation. The T‐CNLS equation is rewritten into the classical Hamiltonian form. Then …

Two-grid algorithms based on two conservative and implicit finite element methods are
studied for two-dimensional nonlinear Schrödinger equation with wave operator. The …

A conservative two-grid mixed finite element scheme is presented for two-dimensional
nonlinear Schrödinger equation. One Newton iteration is applied on the fine grid to linearize …

This paper aims to consider the energy-preserving finite element method (FEM) for the
general nonlinear Schrödinger equation with wave operator. Optimal error estimates and …

A new two-grid finite element scheme is presented for two-dimensional nonlinear
Schrödinger equation. One Newton iteration is applied on the fine grid to linearize the …

A conservative two‐grid finite element scheme is presented for the two‐dimensional
nonlinear Schrödinger equation. One Newton iteration is applied on the fine grid to linearize …

A two‐grid finite element scheme is presented for nonlinear Schrödinger equation. H 1 H^ 1
superconvergence error estimates of finite element solutions based on L∞ L^ ∞ bound of …

This paper is devoted to develop a new energy dissipation scheme by finite element method
(FEM) for a nonlinear Schrödinger equation with wave operator (NLSW) and investigate its …

In this paper, based on a modified leap-frog scheme used in temporal direction and bilinear
rectangular element applied in spatial direction, the superconvergence of Galerkin …