主要构造了求解一维隐式差分方程的四点嵌套迭代并行算法，并证明了它的收敛性。
The focal point is to construct a new embedding overlapped iterative algorithm for solving one-dimensional implicit difference equations.
根据喉部沉积的传热模型建立了偏微分方程组，采用有限差分完全隐式格式进行数值分析计算。
On this heat transfer model the differential equations were based, and the finite difference complete concealed grids were used in the numerical analysis computation.
采用斜向差分算子，建立斜向隐式差分格式，再结合边界条件，对扩散方程进行求解。
Based on the skew direction difference operator, the implicit skew difference schemes were constructed, and the boundary condition was unified, to solve the diffusion equation.
差分方程隐式部分采用了LU- SGS方法以避免矩阵运算，对化学反应和振动能量源项采用预处理矩阵以解决刚性问题。
The LU-SGS method is used in implicit part of the difference scheme to avoid matrix operations. The preconditioning technique is used for solving stiffness problem.
讨论了用隐式完全守恒差分格式求解流体力学方程组，用变分原理求解热传导方程等特点。
Features of solving the hydrodynamic equations by the fully conservative implicit difference scheme and solving the thermal conductive equations by the variational method are discussed.
控制方程是一维非定常气体动力学偏微分方程组，用隐式中心差分结合特征线法解算。
The numerical solution of the governing equations, pertaining to one-dimensional unsteady gas dynamics, utilizes an implicit finite-difference scheme combined with the method of characteristics.
本研究以隐式差分方法求解不可压RANS方程，对二维地效应翼的性能及周围流场进行数值模拟。
The performance and flows of 2-D Wing-In-Ground Effect are numerically simulated by solving RANS equations using an implicit finite difference method.
对于支配方程，提出了聚合物驱模型的全隐式有限差分方法。
A full implicit finite difference method is presented for the polymer flooding model.
本研究以隐式差分方法求解不可压RANS方程，对二维地效应翼的性能及周围流场进行数值模拟。
The viscous flow between the wing-tip and the wall is simulated by solving the RANS equations of incompressible fluid.
本研究以隐式差分方法求解不可压RANS方程，对二维地效应翼的性能及周围流场进行数值模拟。
The viscous flow between the wing-tip and the wall is simulated by solving the RANS equations of incompressible fluid.
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