How can we unify numerical methods with a single mathematic framework?

A large number of numerical methods have been proposed and continue to be developed for solving electromagnetic structure problems. This paper presents a new look at these numerical methods and a way of unifying them with the node-based method of weighted residuals (MWR). As a result, a unifying approach to constructing of numerical methods is shown. It can then be applied to develop new numerical methods catering to specific electromagnetic issues or problems. A new divergence-preserved meshless method is developed as an example.