Try looking up "Egyptian multiplication" on wikipedia. You'll find the same method is described. Is there a case for merging or cross-linking them? More fundamentally, we could use "multiplication algorithm" for something which is usually done by computer, and "multiplication method" for something which is normally done by hand.    

 The above is correct. One has to say that the DOUBLING column is added. The article DOES NOT SAY that only one column is added. It just says "the numbers are added" which gives garbage. Why can't you bring yourself to just say ADD THE CORRECT COLUMN, DAMMIT!!! ?