| 基于几何学观点讨论守恒双曲型方程黎曼问题解的形式 |
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| 引用本文： | 陈传淡.基于几何学观点讨论守恒双曲型方程黎曼问题解的形式[J].厦门大学学报(自然科学版),2002,41(3):287-290. |
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| 作者姓名： | 陈传淡 |
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| 作者单位： | 厦门大学数学系,福建,厦门,361005 |
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| 摘 要： | 对于守恒双曲型方程黎曼问题的解，它同流函数f(u),uR,uL有关。本文应用几何学观点，讨论解的各种形式。应用差分逼近法求解，并与由隐式方法所得到的精确解相比较。
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| 关 键 词： | 守恒双曲型方程 黎曼问题 初值问题 几何学观点 差分逼近法 隐式解 差分解 |
| 文章编号： | 0438-0479(2002)03-0287-04 |
| 修稿时间： | 2001年7月3日 |
The Form of the Solution of the Conservative Hyperbolic Riemannian Problem Base on the Geometric View-point |
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| CHEN Chuan,dan.The Form of the Solution of the Conservative Hyperbolic Riemannian Problem Base on the Geometric View-point[J].Journal of Xiamen University(Natural Science),2002,41(3):287-290. |
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| Authors: | CHEN Chuan dan |
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| Abstract: | With respect to the conservative hyperbolic problem the form of the solution of the Riemannian problem are discussed according to the geometric view point. It can be solved by the implicit algebraic iterative method. The comparison of this implicit method and the difference method is also prescribed. |
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| Keywords: | conservative hyperbolic system Riemannian problem initial boundary value problem geometric view point |
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