NUMERICAL METHOD FOR FIRST ORDER NONLINEAR SCALAR CONSERVATION LAWS IN ONE-DIMENSION.

被引：0
|
作者：
Holden, H. [1 ]
Holden, L. [1 ]
Hoegh-Krohn, R. [1 ]
机构：
[1] Univ Trondheim-NTH, Trondheim, Norw, Univ Trondheim-NTH, Trondheim, Norw
来源：
Computers & mathematics with applications | 1988年 / 15卷 / 6-8期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A numerical method for first order nonlinear scalar hyperbolic conservation laws in one-dimension, in particular, the cauchy problem, is presented. It is proved that it may be used as a numerical method for a general flux function and a general initial value. It is possible to give explicit error estimates, showing that the error is far smaller than in any other method. The method is illustrated in an example.
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页码：595 / 602
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