Much comp Sci
  Discrete

Num analysis
  Continuous

Achievements:
  Solve real science (physics) and engineering problems
    Large: Many body problems in astronomy
    Engineering: Space shuttle modelling, compressive flow
    Small: Numerical solution using hartley-fock potentials
    to schroedinger equation

(Compare: other CS: help dot-coms sell stuff, e.g. amazon,
but not revolutionary, 500yy since Gutenberg, DB: gov keep track of you)

Important to understand numerical methods and do it right:
  Catastrophies 1
  Catastrophies 2

Scientific computing ~ Num analysis
More result oriented   More error and comp analyis oriented

Numerical methods and error analysis
More examples