In the previous problem, is the value of $\lambda$ such that the scheme is stable?
A) yes
B) no
C) It is right on the borderline.
D) It cannot be determined from the available data.

Question

Quizplus · Accepted Answer

The stability of a scheme often depends on specific conditions or criteria related to $\lambda$, such as the Courant-Friedrichs-Lewy (CFL) condition for numerical schemes solving partial differential equations. Without knowing the specific scheme or having details on how $\lambda$ relates to the scheme's stability criteria, it's impossible to definitively say the scheme is stable. However, the question implies that there is a specific value of $\lambda$ in question, suggesting that stability can be evaluated but not affirmatively stating the scheme is stable, on the borderline, or that it cannot be determined. Thus, the most cautious and technically correct choice, given no specific information on the scheme or criteria for stability, is to assume that we cannot affirm stability, leading to the selection of "no" because the question seems to imply a need for evaluation rather than providing data that confirms stability.

In the Previous Problem, Is the Value Of λ\lambdaλ Such That the Scheme Is Stable? A) Yes B) No

In the Previous Problem, Is the Value Of $\lambda$ Such That the Scheme Is Stable?
A) Yes
B) No