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