> How exactly do you propose we get those experts, if colleges aren't capable of training them? In the majority of cases, colleges (undergrad) aren't in fact c

> How exactly do you propose we get those experts, if colleges aren't capable of training them? In the majority of cases, colleges (undergrad) aren't in fact capable of training them. The material is too specialized for undergrad. However colleges can prepare those who are talented and interested in the subject matter for further studies. Many experts in numerical analysis start specializing in graduate school, and then acquire their expertise through postdocs, academia and industry experience.