应用随机选取法推出守恒双曲型方程某些差分格式的收敛性条件  

The Convergent Condition of Certain Difference Schemes of the Conservative Hyperbolic Equation by the Random Choice Method

作　　者：陈传淡[1] 

机构地区：[1]厦门大学数学系,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2000年第4期426-431,共6页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金资助项目!(19771069)

摘　　要：把在节点取值的一般差分方法视为随机选取法的一种，应用由Ｈａｒｔｅｎ及Ｐ．Ｄ．Ｌａｘ所提出的守恒双曲型方程式差分逼近的随机选取判定收敛性方法，讨论了一些差分格式的黎曼问题的收敛条件．并希望由此引出更一般问题的讨论．Being suggested by A. Harten and P. D. Lax,the random choice method for the convergence of the difference scheme for the hyperbolic conservative laws is the unique method to assert the existence and uniqueness of the solution. Considering the difference method for valuation at end points of each interval as a special case of the random choice method, the convergency for some special difference schemes are discussed with the help of above method.

关 键 词：随机选取法 守恒双曲型方程 收敛条件 差分格式 

分 类 号：O241.82[理学—计算数学]