| 11. | Thus, it is to be expected that the global truncation error will be proportional to h.
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| 12. | This shows that for small h, the local truncation error is approximately proportional to h ^ 2.
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| 13. | This means that, in this case, the local truncation error is proportional to the step sizes.
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| 14. | What does it mean when we say that the truncation error is created when we approximate a mathematical procedure?
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| 15. | What is important is that it shows that the global truncation error is ( approximately ) proportional to h.
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| 16. | The scheme is based on backward differencing and its Taylor series truncation error is first order with respect to time.
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| 17. | The relation between local and global truncation errors is slightly different from in the simpler setting of one-step methods.
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| 18. | Typically expressed using Big-O notation, local truncation error refers to the error from a single application of a method.
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| 19. | Based on the backward differencing formula, the accuracy is only first order on the basis of the Taylor series truncation error.
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| 20. | This is true in general, also for other equations; see the section " Global truncation error " for more details.
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