| 27 | | It is often just best to scale the problem so that the measured quantities scale roughly to magnitude order of 1 (so the absolute error is a fine measure), and that the quantities are not many orders different than each other for unphysical reasons. This will help prevent bugs in numerical codes. |
| | 27 | It is often just best to scale the problem so that the measured quantities scale roughly to magnitude order of 1 (so the absolute error is a fine measure), and that the quantities are not many orders different than each other for unphysical reasons. This will help prevent bugs in numerical schemes. |
| | 28 | |
| | 29 | = Error of vectors = |
| | 30 | |
| | 31 | This is different than scalars in that now we must think of ''norms'' of error vectors (scalar measures of their "lengths"). There are 3 different ways to measure their "lengths", namely the 1-norm, 2-norm, and infinity-norm (aka max-norm). |
| | 32 | |
| | 33 | Thus, if we define the error vector as e= |
