Question

Which of these properties is not included in the Lax Equivalence Theorem?

(a) Stability

(b) Boundedness

(c) Consistency

(d) Convergence

The question was posed to me in an interview for job.

I need to ask this question from Discretization Aspects topic in division Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer 1

Right answer is (b) Boundedness

Explanation: Lax Equivalence Theorem states that “For a well-posed linear initial value problem solved by the finite difference approximation which satisfies consistency condition, stability is the necessary and sufficient condition for convergence”.