Question

Which of these is correct for the multipoint method?

(a) multiple derivatives at each time step

(b) only one evaluation of derivative per time step

(c) order of accuracy is restricted to four

(d) extremely unstable

I had been asked this question during an internship interview.

Question is from Transient Flows topic in section Transient Flows of Computational Fluid Dynamics

Answer 1

The correct choice is (b) only one evaluation of derivative per time step

Explanation: The multipoint approach has a lot of advantages. The main advantage is that any order of accuracy can be obtained by using a different number of points. Also, at one time-step, only one new derivative has to be evaluated. Others are those stored from the older time-steps.