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5 cards from this section. Quick, good the night before a test.
What is zero-stability?
Think about the effect of small rounding errors.
Name a method that is A-stable.
Consider implicit methods.
What defines zero-stability in a numerical method?
Focus on the consequences of small errors.
True or False: A-stability means a method is stable for all Re(λ) < 0.
Review what A-stability is focused on.
Consider the difference between a zero-stable method and an A-stable method. Provide a scenario illustrating when you would choose each type.
Reflect on the properties of the equations you typically encounter.
Why might an L-stable method provide a significant advantage when solving a stiff differential equation? Provide an example of such an equation.
Consider situations where stiffness arises in real-world problems.
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