Comparing with the classic finite element method , wpim belongs to a half analytical method , it is not sensitive to the time step , so this is helpful to improve the computational efficient 与传统的有限元方法相比，本文方法属于半解析方法，对时间步长不敏感，可有效提高计算效率。
Serval test problems are carried out by using the proposed algorithm . compared with non - local time stepping method , we can increase the efficiency of the time stepping signifi - cantly in certain situations 运用此算法，几个测试问题被计算，与非局部时间步长方法相比，大大提高了算法的效率。
However this local refinement reduces the allowable time step very small which is determined by a global cfl time step for the explicit time discrtizations typically employed 然而，这种局部细的网格往往导致要选取相当小的时间步长。对于实施典型的显式时间离散，这个时间步长取决于一个整体的cfl条件。
Moreover , in order to achieve reasonable calculating precision and settlement values , the time step should be very small due to the linearization of the high non - linear equation of large strain 大变形控制方程是高度非线性方程，经过线性化后，必须使用很小的时间步长，才能取得合理的计算精度和沉降结果。
Convergence is accelerated by means of local time stepping , implicit residual smoothing . the numerical results have been obtained for the flows over n ac ago 12 or rae2822 airfoils 并且基于点云离散结构，引入了当地时间步长、残值光顾等加速收敛技术，数值模拟了对称和非对称翼型绕流，获得较好的计算结果。
Numerical results for two media with different properties show that the proposed initial guesses improve computational efficiency and reduce the influence of nonlinear solver on the time step as well 对两种不同性质的介质进行数值实验，结果表明，所设计的初值选取方法不仅大大提高了计算效率，而且能够降低非线性解法器对时间步长的影响。
A lot of parameters needed to be detected for the fault detection and diagnosis of liquid rocket engine . data need to be recorded at every certain time , so , large amount of data need to be analyzed 由于液体火箭发动机故障检测和诊断需要大量的参数,而且每隔一定的时间步长就要记录一次数据,直到试车结束,因此,液体火箭发动机故障检测和诊断需要分析大量的数据。
The effect of the number of grid , liquid water content ( lwc ) , median volumetric diameter ( mvd ) and ice layer time step on ultimate ice shape is analyzed , the aerodynamic characteristics of the iced airfoil is analyzed simply , too 分析了网格数、空气液态水含量、水滴当量体积直径和冰层时间步长对模拟冰形的影响，此外还对结冰翼型的气动特性进行了简要的分析。
( 4 ) to raise the computational accuracy and efficiency , we have designed a self - adaptive space grid that can guarantee mass conservation and energy conservation , and have also developed the techniques for the time stepsize automatically varying ( 4 )设计了保持质量和能量守恒的自适应空间网格，发展了自动改变时间步长的技术，使之能够更好地保证计算精度，提高计算效率。
In order to accelerate the convergence , residual smoothing and local time stepping were employed . in the same time , by improving prolongation operator , a new multi - grid scheme which can combine well with the algorithm of this thesis 为加速计算收敛速度，除了采用当地时间步长和局部残差光顺技术外，通过改造插值算子，提出了一种能够与本文算法很好地结合的多重网格法。
