先进的托卡马克位形对于实现磁约束受控聚变是至关重要的。但对某些情况,精确计算位形是十分困难的。如当物理量在局部区域内有很大的变化,或在区域内解的数值大小有大的数量级上的改变,为保证数值求解平衡方程的收敛性,有两个困难随之产生了:(1)所需的计算机内存极大地增加,以致有的物理模式的计算受到计算机内存的限制。(2)求解代数方程阶次的迅速增长,可能使舍入误差的积累造成对真解的扭曲。利用两种 The advanced tokamak shape is crucial for achieving controlled fusion of magnetic confinement. However, in some cases, accurate calculation of the shape is very difficult. For example, when the physical quantity has a great change in the local area or the magnitude of the solution in the area has a large order of magnitude, two difficulties arise to ensure the convergence of the numerical solution equilibrium equation: (1 ) The amount of computer memory required is greatly increased so that some physical mode calculations are limited by computer memory. (2) Solving the rapid growth of the order of algebraic equations may distort the truth solution from the accumulation of rounding errors. Use two kinds