[PEM17-P02] A large time step weighted essentially non-oscillatory (LTS-WENO) scheme for the advection equation
Keywords:advection equation, LTS scheme, WENO scheme
The large time step (LTS) scheme  was introduced as an explicit method to overcome the CFL condition. In the higher-order interpolation methods, information on a wide stencil is used for higher-order accuracy in space. On the other hand, in the LTS scheme, that contributes to the stability in time with the time step exceeding the CFL condition. However, a practical spatially higher-order LTS scheme has not yet been examined sufficiently. In this paper,a new numerical scheme for the advection equation is constructed combining the LTS scheme and the WENO scheme, and accuracy and efficiency of its scheme is discussed.
 G.-S. Jiang, C.-W. Shu, J. Comput. Phys., 126, 202-228, 1996
 R. J. LeVeque, SIAM J. Numer. Anal., 19, 1091-1109, 1982