Convergence of finite difference schemes for the Benjamin-Ono equation

被引：8
|
作者：
Dutta, Rajib [1 ]
Holden, Helge [1 ,2 ]
Koley, Ujjwal [3 ]
Risebro, Nils Henrik [1 ]
机构：
[1] Univ Oslo, Dept Math, POB 1053, N-0316 Oslo, Norway
[2] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway
[3] Tata Inst Fundamental Res Ctr, Ctr Applicable Math, Post Bag 6503,GKVK PO, Bangalore 560065, Karnataka, India
来源：
NUMERISCHE MATHEMATIK | 2016年 / 134卷 / 02期
关键词：
DISPERSIVE WAVE-EQUATIONS; GLOBAL WELL-POSEDNESS; DE-VRIES EQUATION; FLUIDS;
D O I：
10.1007/s00211-015-0778-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze finite difference schemes for Benjamin-Ono equation, , where H denotes the Hilbert transform. Both the decaying case on the full line and the periodic case are considered. If the initial data are sufficiently regular, fully discrete finite difference schemes shown to converge to a classical solution. Finally, the convergence is illustrated by several examples.
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页码：249 / 274
页数：26
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