Practice Error Analysis - 15.6 | 15. Adams–Moulton Method | Mathematics - iii (Differential Calculus) - Vol 4
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Error Analysis

15.6 - Error Analysis

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is Local Truncation Error?

💡 Hint: Think about errors in a single computation step.

Question 2 Easy

What is the order of the Local Truncation Error for a 2-step Adams–Bashforth method?

💡 Hint: Recall how the order is related to the number of steps.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is Local Truncation Error for k-step methods?

O(h^k)
O(h^(k+1))
O(h^(k-1))

💡 Hint: Focus on the error per step.

Question 2

True or False: Global Error accumulates throughout the numerical method.

True
False

💡 Hint: Think about how errors build up.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Calculate the Local Truncation Error for a 4-step Adams-Bashforth method with a given step size.

💡 Hint: Examine the general form for k-step errors.

Challenge 2 Hard

Explain how increasing the step size would impact both Local and Global Error based on theoretical concepts.

💡 Hint: Compare with the error equations we've learned.

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