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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 the error in one calculation step.
Question 2
Easy
How does Global Truncation Error differ from Local Truncation Error?
💡 Hint: Consider the difference in how errors accumulate.
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 does Local Truncation Error depend on?
- h
- h²
- h³
💡 Hint: Remember the relationship between LTE and step size.
Question 2
True or False: Global Truncation Error adds up errors over multiple steps.
- True
- False
💡 Hint: Think about how errors might accumulate in a series.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Suppose you have an ODE to solve where the step sizes are h = 0.1, h = 0.05, and h = 0.01. Compare the expected Local Truncation and Global Truncation Errors for these step sizes.
💡 Hint: Think about how both types of errors relate to h squared and h.
Question 2
Design a numerical experiment using different step sizes for Euler’s Method on the same ODE, tracking how errors differ in your results at predetermined points.
💡 Hint: Conduct the experiment focusing on both types of errors, ensuring clarity in recording outcomes.
Challenge and get performance evaluation