对于隐式差分格式，建议了一种交替方向追赶和外边界插值相结合的办法。

An alternating direction implicit difference scheme is proposed in combination with extrapolated treatment of the conditions on the outer boundary.

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首次指出了六点二重插值格式可以达到C3连续，并构造了一种新的C3连续的六点三重插值细分格式。

For the first time, this paper points out that the arity-2 interpolating 6-point scheme is C3-continuous in certain range. A new C3-continuous arity-3 interpolating 6-point scheme is also proposed.

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