Question

Which of these is related to convergence?

(a) Stopping criteria

(b) Peclet number

(c) Lax Equivalence Theorem

(d) Scarborough criteria

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

Answer 1

Right choice is (c) Lax Equivalence Theorem

To elaborate: Lax Equivalence Theorem gives the condition for stability. It is applicable only for the finite difference methods applied to linear initial value problems. This is not applicable to non-linear systems.