Table 1.
Fitness functions for measuring simulation error
| Criterion | Notation | Definition | Comment |
|---|---|---|---|
| DAE1 |
|
Eq. (2) | Discrete absolute error of function values |
| DAE2 |
|
(2, 4) | Discrete absolute error of function and derivative values |
| DAE3 |
|
(2, 4, 6) | Discrete absolute error of function, derivative, second derivative values |
| DAE4 |
|
(2, 4, 8) | Discrete absolute error of function, derivative values as well as values of second derivative. |
| DRE1 |
|
(3) | Discrete relative error of function values |
| DRE2 |
|
(3, 5) | Discrete relative error of function and derivative values |
| DRE3 |
|
(3, 5, 7) | Discrete relative error of function, derivative, second derivative values |
| DRE4 |
|
(3, 5, 9) | Discrete relative error of function, derivative values as well as values of second derivative. |
| CAE1 |
|
(10) | Continuous absolute error of function values |
| CAE2 |
|
(10, 12) | Continuous absolute error of function and derivative values |
| CAE3 |
|
(10, 12, 14) | Continuous absolute error of function, derivative, second derivative values |
| CAE4 |
|
(10, 12, 16) | Continuous absolute error of function, derivative values as well as values of second derivative. |
| CRE1 |
|
(11) | Continuous relative error of function values |
| CRE2 |
|
(11, 13) | Continuous relative error of function and derivative values |
| CRE3 |
|
(11, 13, 15) | Continuous relative error of function, derivative, second derivative values |
| CRE4 |
|
(11, 13, 17) | Continuous relative error of function, derivative values as well as values of second derivative. |
(DAE: discrete absoulte error, CAE: continuous absolute error, DRE: discrete relative error, CRE: continuous relative error).