Question

In solving non-linear systems, there is a trade-off between ___________ and ___________

(a) speed and stability

(b) speed and security

(c) stability and convergence

(d) stability and error

This question was posed to me during an online exam.

I need to ask this question from Numerical Methods topic in section Numerical Methods of Computational Fluid Dynamics

Answer 1

The correct choice is (b) speed and security

Explanation: In solving the non-linear system, there are two methods – Newton’s method and Global method. Newton’s method is faster and the Global method is guaranteed not to diverge. So, there is always a trade-off between speed and security.