科研之友
微信
新浪微博
Facebook
分享链接
摘要
The Legendre spectral and pseudospectral approximations are proposed for the standard Zakharov equations with initial boundary conditions. Optimal H1 error estimate of the method is given for both semidiscrete and fully discrete schemes. The uniform convergence for the parameter epsilon relative to the acoustic speed is proved. Moreover, the multidomain Legendre spectral scheme is also constructed, which can be implemented in parallel. Finally, numerical results in single domain and multidomain verify the high accuracy of the Legendre spectral method.
