Question

To make the spectral method advantageous _____________

(a) Function must be periodic but grids can be non-uniform

(b) Grids should be uniform and function must be periodic

(c) Grids should be uniform but function can be non-periodic

(d) Grids should be structured and function must be periodic

The question was asked in an internship interview.

My enquiry is from Finite Difference Methods topic in section Finite Difference Methods of Computational Fluid Dynamics

Answer 1

Correct option is (b) Grids should be uniform and function must be periodic

Explanation: To get the full advantages of this Spectral method, the function must be periodic of the dependent variable and the grids should be uniform. This makes the Spectral method inflexible when compared to the other discretization methods.