一维抛物方程初边值问题拟多重网格预处理迭代法  

Quasi Multigrid Preconditioned Iteration Method and numerical experiment

作　　者：李林[1] 

机构地区：[1]渤海大学数学系,辽宁锦州121000

出　　处：《佳木斯教育学院学报》2013年第3期83-84,共2页Journal of Jiamusi Education Institute

摘　　要：把多重网格法和预处理方法结合起来用于一维抛物方程初边值问题上,得出用于一维抛物方程的预处理迭代矩阵。通过数值实验,证明此方法可行,并得出了收敛速度快,并且收敛性不依赖于w等结论。Combined multigrid method and pretreatment methods for the initial boundary value problem of one-dimensional parabolic equation obtained for one-dimensional parabolic equation preconditioned iterative matrix. Numerical experiments prove that this method is feasible, and reached a speed of convergence, and the convergence does not depend on w .

关 键 词：抛物型方程 多重网格法 预处理迭代法 收敛性 收敛速度 

分 类 号：O175.26[理学—数学]