Advanced Search
Article Contents
Article Contents

Semidiscretization in time for nonlinear Schrödinger-waves equations

Abstract Related Papers Cited by
  • In this paper, we are concerned with Crank-Nicolson like schemes for:

    $ (NLW_\omega ) \frac{1}{\omega^2} \partial_t^2 E_\omega -i\partial_t E_\omega -\D E_\omega =\lambda | E_\omega |^{2\sigma} E_\omega. $

    We present two schemes for which we give some convergence results. On of the scheme is dissipative and we describe precisely the dissipation. We prove that the solution of the second scheme fits that of $(NLW_\omega )$ while the first one compute a average value of the solution.

    Mathematics Subject Classification: 35L05, 35Q55, 65M12.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(90) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint