【摘要】 <正> 1.引言 尽管计算机的性能在过去一、二十年中有了很大的提高,但由于数值模拟非线性偏微分发展方程的巨大计算量和长时间的数值积分,如Navier-Stokes方程(NSE),构造高效数值算法仍是一个吸引众多数学和工程工作者的事情,并已经取得了很多成果。其中一类方法是基于惯性流形[1]和近似惯性流形[2]概念基础上发展起来的非线性Galerkin方法(NGM)[3,4,5,6,7]。该方法建立在解的大小涡分量间的一种近似依赖关系的基础上,其更多还原

【Abstract】 By taking example of the unsteady Navier-Stokes equation, a kind of postprocessing method for the standard Galerkin approximation, which is called one step Newton method for simplicity, is proposed by applying the idea of Newton iteration to unsteady problems. The analysis results show that this method can greatly improve the accuracy of the standard Galerkin approximation and the numerical experiments also indicate that it is a high performance method.更多还原