非线性微分-代数系统迭代法的并行实现

讨论了非线性微分-代数系统的并行迭代算法所涉及的理论和具体算例的实现。利用动力学迭代法对微分-代数系统进行剖分迭代，并在曙光3000超级服务器上选用实际算例测试这些并行迭代算法。结果显示：这些迭代方法能够有效地并行实现，具有优良的加速比，这也证实了动力学迭代法在理论上的内在并行性。

The Parallel Implement of Iteration Methods for Non-Linear Differential-Algebraic Systems

This paper discusses the theoretical models and numerical experiments of parallel iteration methods for solving non - linear differential - algebraic systems. Dynamics iteration methods are used to split the differential- algebraic equations, and the numerical experiments are selected to test the parallel iteration methods on Dawning 3000 Super Server Systems. The result shows that the iterative methods can implement parallel availably and possess a superior accelerated ratio. It is testified that the dynamics iteration methods possess immanent parallel in theory.