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3 cards from this section. Quick, good the night before a test.
What defines an A-stable method?
Think about the conditions for stability.
Name one example of an A-stable method.
Consider implicit methods.
Which of the following is characteristic of A-stability?
Recall the definition of A-stability.
True or False: All A-stable methods are implicit.
Reflect on examples you've studied.
Analyze an implicit method and determine whether it is A-stable by evaluating its stability function R(hλ). Provide the conclusion and reasoning.
Start by determining the form of the stability function.
Given a stiff differential equation, suggest an appropriate numerical method to solve it and justify why it must be A-stable.
Think about the nature of stiffness.
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