Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation-Reference-Cited by-同舟云学术

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Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation

Published:2019-12 Issue: Volume:166 Page:206-223
ISSN:0378-4754
Container-title:Mathematics and Computers in Simulation
language:en
Short-container-title:Mathematics and Computers in Simulation

Author:

Fu Yayun,Song Yongzhong,Wang Yushun

Funder

National Natural Science Foundation of China

National Key Research and Development Project of China

Major Projects of Natural Sciences of University in Jiangsu Province of China

Priority Academic Program Development of Jiangsu Higher Education Institutions

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference36 articles.

1. On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation;Akrivis;Numer. Math.,1991

2. An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity;Bao;SIAM J. Numer. Anal.,2004

3. An extension problem related to the fractional Laplacian;Constantin;Comm. Partial Differential Equations,2009

4. Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative;C̣elik;J. Comput. Phys.,2012

5. Functional Spaces for the Theory of Elliptic Partial Differential Equations;Demengel,2012

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1. Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation;Journal of Scientific Computing;2024-04-20

2. A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs;Journal of Computational Mathematics;2023-09

3. Numerical analysis of the high-order scheme of the damped nonlinear space fraction Schrödinger equation;Applied Mathematics Letters;2023-07

4. An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation;Applied Numerical Mathematics;2021-07

5. Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation;International Journal of Computer Mathematics;2021-06-11

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