Practice - Consistency
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Practice Questions
Test your understanding with targeted questions
What does consistency in numerical methods mean?
💡 Hint: Consider the relationship between LTE and step size.
Define local truncation error.
💡 Hint: Think about how errors occur in a single approximation step.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is meant by consistency in numerical methods?
💡 Hint: Think about how errors behave as calculations become finer.
True or False: A consistent numerical method guarantees accurate results for all step sizes.
💡 Hint: Consider if consistency alone can ensure accuracy.
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Challenge Problems
Push your limits with advanced challenges
Suppose you have a numerical method that uses step sizes of h = 0.1 and h = 0.01. Compare the LTE at both sizes for consistency.
💡 Hint: Compare the results of LTE at both h values.
Discuss the implications of using a numerical method that exhibits inconsistency in a real-world application like engineering.
💡 Hint: Think about what happens if calculations are inaccurate in critical structures.
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