Question

Information about the magnitude and distribution of the truncation error can be useful for ____________

(a) correcting the error

(b) increasing the stability

(c) refining the grid

(d) converging the solution

This question was addressed to me in class test.

This is a very interesting question from Errors in Finite Difference Approximations topic in section Finite Difference Methods of Computational Fluid Dynamics

Answer 1

Correct answer is (c) refining the grid

Easy explanation: It is not possible to decrease the discretization error as it will lead to increased algebra and computation. So, the information about the discretization error can be used only for refining the girds and achieve the same level of discretization everywhere in the solution.