What are the top journals in applied mathematics and what are the differences between them? This question is essentially an applied mathematics version of Which are the best mathematics journals, and what are the differences between them?
Unfortunately, unlike the above question I was not able to find out so far what is the community consensus on top journals in applied mathematics (with statistics excluded -- it is a world of its own), and the question on top specialized journals also leaves the applied mathematics as a whole untouched. The problem is further exacerbated by the fact that while in principle many top generalist math journals declare willingness to publish applied mathematics papers, the fact is that such papers are published there only exceptionally, hence my question. 
To make things clear let me reiterate that I would like to understand what is the community consensus (if any) on what are the top applied mathematics journals rather than being shown various numerical rankings (like, say, those based on the impact factor) of which I am quite aware.    
 A: I think there is no equivalent of the Annals for applied math but, in my opinion, some flagships are


*

*SIAM Review

*Mathematics of Computation

*Foundations of Computational Mathematics
but at least the two latter are not for applied math in general but with a special focus on computation. Moreover, the other SIAM journals are top for their subfields and specific for optimization "Mathematical Programming" is top. 
A: I don't think you can have a broad answer to this question. The reason is that there is no generalist applied mathematics journal, that everybody is aiming at. So you only have more focused top journals whithin each subject. Maybe you can aim for a list of those. I can give my very limited contribution with respect to fields adjacent to mine:
For many areas: All SIAM journals.
Optimization:
Mathematical Programming
Mathematics of Operations Research
Numerical Analysis:
IMA Journal of Numerical Analysis
Journal of Computational Physics
Inverse Problems
Mathematics of Computation
