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4 cards from this section. Quick, good the night before a test.
Define Local Truncation Error.
What happens in one step that leads to error?
What is the LTE for Euler’s Method?
How does the step size affect the error in Euler's method?
What is Local Truncation Error (LTE)?
Think about what happens in one step of approximation.
Higher-order methods generally lead to what outcome regarding error?
Focus on how method order impacts convergence.
If the true value of a function at x=1 is 4 and using Euler's method, you find it to be 3.5 with a step size of 0.2, calculate the Local Truncation Error.
Apply the formula: LTE = true value - numerical value.
How would you adjust a numerical method to improve accuracy if the Local Truncation Error is significantly high? Discuss two strategies.
Think about how step size impacts accuracy or strategy changes in method selection.
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