List of methods
List of integration methods
| Method name |
Order |
Num. stages |
Step vec. size |
Type |
| ForwardEuler |
1 |
1 |
1 |
explicit |
| ExplicitMidpoint |
2 |
2 |
1 |
explicit |
| KuttaThirdOrder |
3 |
3 |
1 |
explicit |
| RK4 |
4 |
4 |
1 |
explicit |
| RK6 |
6 |
7 |
1 |
explicit |
| |
|
|
|
|
| BackwardEuler |
1 |
1 |
1 |
implicit |
| ImplicitMidpoint |
2 |
1 |
1 |
implicit |
| Trapezoidal |
2 |
2 |
1 |
implicit |
| |
|
|
|
|
| GaussLegendre2 |
2 |
1 |
1 |
implicit |
| GaussLegendre4 |
4 |
2 |
1 |
implicit |
| GaussLegendre6 |
6 |
3 |
1 |
implicit |
| |
|
|
|
|
| Lobatto2 |
2 |
2 |
1 |
implicit |
| Lobatto4 |
4 |
3 |
1 |
implicit |
| |
|
|
|
|
| RadauI3 |
3 |
2 |
1 |
implicit |
| RadauI5 |
5 |
3 |
1 |
implicit |
| RadauII3 |
3 |
2 |
1 |
implicit |
| RadauII5 |
5 |
3 |
1 |
implicit |
| |
|
|
|
|
| AB2 |
2 |
1 |
3 |
explicit |
| AB3 |
3 |
1 |
4 |
explicit |
| AB4 |
4 |
1 |
5 |
explicit |
| AB5 |
5 |
1 |
6 |
explicit |
| |
|
|
|
|
| AM2 |
2 |
1 |
2 |
implicit |
| AM3 |
3 |
1 |
3 |
implicit |
| AM4 |
4 |
1 |
4 |
implicit |
| AM5 |
5 |
1 |
5 |
implicit |
| |
|
|
|
|
| ABalt2 |
2 |
3 |
2 |
explicit |
| ABalt3 |
3 |
4 |
3 |
explicit |
| ABalt4 |
4 |
5 |
4 |
explicit |
| ABalt5 |
5 |
6 |
5 |
explicit |
| |
|
|
|
|
| AMalt3 |
3 |
3 |
2 |
implicit |
| AMalt4 |
4 |
4 |
3 |
implicit |
| AMalt5 |
5 |
5 |
4 |
implicit |
| |
|
|
|
|
| BDF1 |
1 |
1 |
1 |
implicit |
| BDF2 |
2 |
1 |
2 |
implicit |
| BDF3 |
3 |
1 |
3 |
implicit |
| BDF4 |
4 |
1 |
4 |
implicit |
| BDF5 |
5 |
1 |
5 |
implicit |
| BDF6 |
6 |
1 |
6 |
implicit |
| |
|
|
|
|
| AdamsPEC2 |
2 |
1 |
2 |
explicit |
| AdamsPEC3 |
3 |
1 |
3 |
explicit |
| AdamsPEC4 |
4 |
1 |
4 |
explicit |
| AdamsPEC5 |
5 |
1 |
5 |
explicit |
| |
|
|
|
|
| AdamsPECE2 |
2 |
2 |
2 |
explicit |
| AdamsPECE3 |
3 |
2 |
3 |
explicit |
| AdamsPECE4 |
4 |
2 |
4 |
explicit |
| AdamsPECE5 |
5 |
2 |
5 |
explicit |
| |
|
|
|
|