3·î13Æü(ÌÚ) 16:00 -- 17:00 Edward H. Twizell (Brunel University, U.K.) ``Computational Methods for Korteweg-de Vries and Kadomtsev-Petviashvili Equations'' ¡ã¸¦µæȯɽÍ׻ݡä A range of solutions for the Korteweg-de Vries (KdV) equation and its generalized form (GKdV) will be presented. Computational techniques based on a linearized, implicit, finite- difference scheme and on a predictor-corrector approach are presented for the solution of the Kadomtsev-Petviashvili (KP)equation and its generalized form (GKP). An important advatage to be gained from the use of the former method over the latter, which is conditionally stable, is the ability to vary the mesh length, thereby reducing computational costs. Numerical results portraying a single line-soliton solution, the interaction of two line-solitons, a lump-like soliton and the inter- action of two lump solitons will be reported for the KP equation.