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Douglas, Jr., J. and Richford, Jr., H.H. (1956) On the numerical solution of heat conduction problems in two and three space variables. Transactions of the AMS—American Mathematical Society, 82, 421-439.

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• 标题: Burgers方程的交替分组迭代法Alternating Group Iterative Methods for Burgers Equations

  作者: 陈宁, 顾海明

  关键字: Burgers方程, 交替分组迭代法, 稳定性, 收敛性Burgers Equations, Group Explicit Iterative Methods, Stability, Convergence

  期刊名称: 《Pure Mathematics》, Vol.4 No.4, 2014-07-10

  摘要: 给出了Burgers方程的一种新的交替分组显式迭代方法，并用线性化方法分析了其稳定性和收敛性，给出了模型问题的数值结果，并在数值例子中对于精确解和数值解做出了比较，验证了该方法的稳定性和收敛性。 Alternating group explicit iterative methods for Burgers problems are given. The stability and convergence are analyzed by the linear method. Numerical results of the model problem are given. And the comparison of exact and numerical solutions is made to verify the stability and the con-vergence of the method.