Differenced equations are solve by gauss-seidel and SUR method, profiles of water film thickness and velocity are gotten. 离散方程组采用高斯&赛德尔迭代和持续亚松驰相结合的方法计算,得到板壁水膜的厚度和速度分布。
Further Study on ( I+ S_ ( max)) Preconditioning Gauss-Seidel Iterative Method (I+S(max))预条件Gauss-Seidel迭代法进一步探索
It is feasible to increase accuracy of numerical solution and to raise convergence rate by upwind scheme with the third-order-accuracy and by Gauss-Seidel iteration method with relaxation factor. 文中采用三阶迎风格式和加松驰因子的Gauss-Seidel迭代,对提高数值算法的精度和收敛速度是可行的。
For appropriately chosen starting values, it was proved that the method was convergent and the convergence order was at least 3. Secondarily, the application of Gauss-Seidel technique in the method was discussed. 对适当范围的初始值证明该迭代法收敛且至少具有3阶敛速,并讨论Gauss-Seidel加速技巧在其中的应用。
The method not only generalizes the IMV method but also includes block interval Gauss method, block interval Jacobi method and block interval Gauss-Seidel method. 本算法不仅推广了IMV算法,而且包含了块区间Gauss消去法、块区间Jacobi算法、块区间Gauss-Seidel算法。
In the paper, some sufficient conditions on the converging of the modified Gauss-Seidel method are presented, which improve some recent results on this topic. 给出了修正Gauss-Seidel迭代法(MGS)收敛的一些充分条件,推广了一些最新的结果。
The algorithm simplifies the pressure relaxation scheme and adopts the Newton-Raphson method at the lowest grid level but the Gauss-Seidel method at other grid levels. 最底层网格上采用Newton-Raphson方法,在其它各层网格上使用Gauss-Seidel低松驰迭代。
To study numerical solution of the linear equations, the article presents direct method, Jacobi iterate method and Gauss-seidel iterate method to approximately calculate, and has given its process in MATLAB. 为研究线性方程组的数值解,文章用直接解法、雅可比迭代法、高斯-赛德尔迭代法进行了近似计算,并给出在MATLAB中计算的程序。
The article show Gauss-Seidel indirect solution of mixed model equations with explicit example, which make the method be understood easily. 本文用直观的事例详述了混合模型方程组的Gauss-Seidel间接解法,使该方法更容易被领会。
By using the concept of generalized diagonal dominance for matrices, we obtain some sufficient conditions for convergence of Jacobi and Gauss-Seidel iterative method, and thus widen the discrimination range of convergence of method. 本文引入矩阵广义对角占优的概念,从而推广了迭代法收敛性的判别范围,关给出了几个判别迭代法收敛的充分条件且附有关实例。
The results are compared with tradition Gauss-Seidel method. 最后将新算法与传统的Gauss-Seidel算法进行比较。
The corresponding convergence theory is established also for domain decomposition method of Gauss-Seidel type. 对Gauss-Seidel型区域分解法,我们也建立了相应的收敛性理论。
This paper discusses the application of Gauss-Seidel technique in an iterative method. The convergence and convergence order are obtained. 讨论了Gauss-Seidel技巧在一个迭代法中的应用,获得了收敛性和收敛阶的结论。
In the second chapter, we study the modified Gauss-Seidel method, and present some sufficient conditions so that the MGS method converges, which improve and extend the results of paper [ 8]. 在矩阵迭代分析中,我们研究修正的Gauss-Seidel迭代法(MGS),给出奇异M-矩阵的MGS迭代法收敛的一些充分条件,改进和推广了文[8]的结果。
In order to calculate asynchronous motor's stator temperature accurately, a mesh on the calculation area in the stator was made at first, builded the area's thermal network mathematics model secondly, used the Gauss-Seidel iterative method to calculate the mathematics model finally. 为准确计算定子温升,对计算区域进行了合理的网格剖分,建立了异步电机定子的热网络数学模型,采用高斯-赛德尔迭代法对模型进行了求解。
The authors combined the material balance equations and the summation equations to solve the equilibrium temperature, and then corrected the compositions of liquid phase calculated by Gauss-Seidel method by the material balance equations. 本文改进了以往通过将组成圆整,用泡点法求温度的方法,采用物料衡算方程与总和方程相结合求温度的思想,同时将用逐板计算得到的液相组成进行校正。
This method needs less computing time due to the unconditional stability of implicit scheme and the fast convergence of Gauss-Seidel iteration. 隐式差分格式的无条件稳定和Gauss-Seidel迭代的快速收敛,计算省时。
In 1997, Kohno et al. have reported the improving modified Gauss-Seidel method for a non-singular diagonally dominant Z-matrices, which was referred to as the IMGS method. 1997年,Kohno等人对一类非奇异对角占优Z-矩阵的Gauss-Seidel迭代法作出了改进,这种方法被称为IMGS方法。
The preconditioned Gauss-Seidel iterative method with the preconditioner ( I+ S_a) has been proposed by Kohno et al. 以(I+Sα)为预条件算子的预条件Gauss-Seidel迭代法已经由Kohno等人提出。
The Satisfactory Improvements of the Modified Gauss-Seidel Method for H-matrices IMGS方法对于H-矩阵的若干令人满意的改进
The monotonicity of convergence rate for the preconditioned Gauss-Seidel iterative method 预处理Gauss-Seidel迭代方法渐近收敛率的单调性
Non-oscillating and non-free-parameter dissipative finite difference scheme with second order accuracy and classical Runge-Kutta time-stepping scheme was used to solve Navier-Stokes equations coupled with electromagnetic source terms, and Gauss-Seidel over-relaxation iteration method was adopted to solve electromagnetic equation. 采用二阶精度无波动、无自由参数的耗散差分格式(NND格式)和经典龙格库塔方法求解耦合电磁源项的N-S方程组,采用高斯-塞德尔超松弛迭代方法数值求解电磁场方程。
The Application of Gauss-Seidel Technique in an Iterative Method Gauss-Seidel技巧在一个迭代法中的应用
In this paper, the Gauss-Seidel method is used to calculate the inner fluid field of the supersonic fluid amplifier. 采用Gauss-Seidel迭代法,计算了超音速流体放大器的内部流场。
Using Gauss-Seidel iteration method to solve difference inequality equations is also presented. 用Gauss消去法的思想对差分不等方程进行跌代求解。
By using finite volume method, the control equations are solved via coupling the interaction force between phases, in which diffusion term is solved by central-differencing, convection term is solved by second-order upwind scheme, and source term is solved implicitly by Gauss-Seidel iteration method. 使用有限体积法,通过相间作用力耦合求解控制方程组,其中扩散项采用中心差分,对流项采用二阶迎风格式,源项用Gauss-Seidel迭代法求解。
We prove that the spectral radius function ρ_ α of the iterative matrix T_ α of MIGS with α is strictly monotonic decreasing at the condition of 0 ≤α≤ e if the classical Gauss-Seidel method converges for a Z-matrix. 在0≤^≤e的情况下,证明了对于Z-矩阵,当经典高斯-赛德尔迭代法收敛时,修正不完全高斯-赛德尔迭代法的迭代矩阵的谱半径对于^是严格单调递减的。
In this paper, multi-grid method has been applied to solve P-M model and achieved more accurate solution than Gauss-Seidel iterative method. 同时本文将多重网格方法应用于P-M模型的求解,取得了比Gauss-Seidel迭代求解更为准确的结果。
Early iteration methods have Jacobi, Gauss-seidel etc* preconditioned methods are sparse approximate inverse, incomplete LU decomposition, sorting, etc. Incomplete LU decomposition is a highly versatile method. 早期的迭代法有Jacobi、Gauss-seidel等等,预处理方法主要有稀疏近似逆,不完全LU分解,排序等等。