Convergent analysis of energy conservative algorithm for the nonlinear Schrödinger equation

DOI10.1155/2015/758954zbMath1394.65115OpenAlexW1964072930WikidataQ59119820 ScholiaQ59119820MaRDI QIDQ1666516

Yuezheng Gong, Zhong-Quan Lv, Yu Shun Wang

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/758954

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
• Difference schemes for solving the generalized nonlinear Schrödinger equation
• Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
• New schemes for the coupled nonlinear Schrödinger equation
• Symplectic Geometric Algorithms for Hamiltonian Systems
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Finite difference discretization of the cubic Schrödinger equation
• 一维非线性Schrödinger 方程的两个无条件收敛的守恒紧致差分格式
• A new class of energy-preserving numerical integration methods
• Multi-symplectic Fourier pseudospectral method for the nonlinear Schrödinger equation

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