数值方法是针对BS模型的另种形式，偏微分方程。

B-S方程本身不就是一个偏微分方程了么？其他方程指的是什么呢?

BS模型另种形式是B和S在其论文中给出显性解的形式，随便找本金融工程的书都有这内容。

偏微分方程不一定可以求得出解的，所以常要用数值解法，也有本书，叫偏微分方程的数值解法，去书店找找。

正在学习中

The most important output of BS models is not closed form formulas, but the PDE.

You can use the same PDE to price other variants (such as Asian, Barrier, etc) with modified final / boundary conditions, given that the same assumptions applied.

(Not sure if the original poster is still interested in the topic as it's 4 years ago....)