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

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation