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 |
|
|
|
|
|