[lumberjack]

For simulation type jobs where you are solving PDEs for some kind of nontrivial domain: * universities sometimes have scientific programmers * national labs in your country will definitely have some people doing such work * big names in industry, engineering and manufacturing e.g. in the past petroleum exploration companies used to hire quite a few people * boutique consulting firms that you never heard of (you need to do a lot of research in your area to find them) * Mathworks and similar names that develop engineering software

For programming jobs including some math in general, well I'm jumping on the hype train that is ML/DL because the jobs are more numerous and pay better even when factoring in the currently hype.