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双曲型方程的有限差分并行迭代算法
A finite difference parallel iterative algorithm for solving hyperbolic equation
【摘要】 为研究二阶双曲型偏微分方程适合于并行机上运行的高效率的计算方法 ,先构造出高精度无条件稳定的隐式差分格式 ,然后以此隐格式为基础 ,设计出适合于并行计算的完全显式的迭代算法 .数值结果表明 ,本方法具有良好的实用性
【Abstract】 A highly accurate and unconditionally stable three level implicit difference scheme is proposed for solving second order hyperbolic partial differential equations. In order to reduce computational efforts, an efficient parallel iterative explicit method based on this difference scheme is established, and an example is presented to illustrate practicality and usefulness of this parallel iteration method.
【关键词】 双曲型方程;
差分格式;
并行迭代算法;
收敛性;
【Key words】 hyperbolic equation; difference scheme; parallel iterative algorithm; convergence;
【Key words】 hyperbolic equation; difference scheme; parallel iterative algorithm; convergence;
【基金】 哈尔滨工业大学校科学研究基金资助项目 (2 0 0 0 -0 0 7)
- 【文献出处】 哈尔滨工业大学学报 ,Journal of Harbin Institute of Technology , 编辑部邮箱 ,2002年03期
- 【分类号】O241.8
- 【被引频次】7
- 【下载频次】295