Fast L2-1σ Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives

作者：

Highlights：

• Unconditional stability and optimal error estimates of FEMs for a class of generalized nonlinear coupled Schrodinger equations with Caputo-type derivatives are mainly considered in this work.

• FEM with nonuniform temporal meshes is constructed.

• Fast algorithms based on sum-of-exponentials technique is built for the numerical schemes.

摘要

•Unconditional stability and optimal error estimates of FEMs for a class of generalized nonlinear coupled Schrodinger equations with Caputo-type derivatives are mainly considered in this work.•FEM with nonuniform temporal meshes is constructed.•Fast algorithms based on sum-of-exponentials technique is built for the numerical schemes.

论文关键词：Generalized nonlinear coupled Schrödinger equations,L2-1σ formula,FEM,Unconditional convergence,Fast algorithm

论文评审过程：Received 23 August 2020, Revised 26 September 2021, Accepted 8 October 2021, Available online 25 October 2021, Version of Record 25 October 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126734