A new non-interpolating semi-Lagrangian scheme has been proposed, which can eliminate any interpolation,and consequently numerical smoothing of forecast fields. Here the new scheme is applied to KdV equation and its p...A new non-interpolating semi-Lagrangian scheme has been proposed, which can eliminate any interpolation,and consequently numerical smoothing of forecast fields. Here the new scheme is applied to KdV equation and its performance is assessed by comparing the numerical results with those produced by Ritchie's scheme (1986).The comparison shows that the non-interpolating semi-Lagrangian scheme appears to have efficiency advantages.展开更多
文摘A new non-interpolating semi-Lagrangian scheme has been proposed, which can eliminate any interpolation,and consequently numerical smoothing of forecast fields. Here the new scheme is applied to KdV equation and its performance is assessed by comparing the numerical results with those produced by Ritchie's scheme (1986).The comparison shows that the non-interpolating semi-Lagrangian scheme appears to have efficiency advantages.