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Introduction
Git repository Introduction
Available Integration methods in SpaceHub
| Method name | Order | Stepsize control | floating point number type | Description |
|---|---|---|---|---|
| Sym2 | 2 | adaptive | double | 2nd order symplectic method |
| Sym2_Ext | 2 | adaptive | long double | with extended double precision number |
| Sym2_Plus | 2 | adaptive | double_k | with active round off error compensation |
| Sym2_ExtPlus | 2 | adaptive | long_double_k | extended precision with compensation |
| Const_Sym2 | 2 | constant | double | constant step size |
| Const_Sym2_Ext | 2 | constant | long double | constant step size |
| Const_Sym2_Plus | 2 | constant | double_k | constant step size |
| Const_Sym2_ExtPlus | 2 | constant | long_double_k | constant step size |
| <Const_>Sym4<_Ext><Plus> | 4 | adaptive/constant | double/long double/... | 4th order symplectic method with* |
| <Const_>Sym6<_Ext><Plus> | 6 | adaptive/constant | double/long double/... | 6th order symplectic method with* |
| <Const_>Sym8<_Ext><Plus> | 8 | adaptive/constant | double/long double/... | 8th order symplectic method with* |
| <Const_>Sym10<_Ext><Plus> | 10 | adaptive/constant | double/long double/... | 10th order symplectic method with* |
| <Const_>AR_Sym2<_Ext><Plus> | 4 | adaptive/constant | double/long double/... | Algorithmic regularized 2nd order symplectic method with* |
| <Const_>AR_Sym4<_Ext><Plus> | 4 | adaptive/constant | double/long double/... | Algorithmic regularized 4th order symplectic method with* |
| <Const_>AR_Sym6<_Ext><Plus> | 6 | adaptive/constant | double/long double/... | Algorithmic regularized 6th order symplectic method with* |
| <Const_>AR_Sym8<_Ext><Plus> | 8 | adaptive/constant | double/long double/... | Algorithmic regularized 8th order symplectic method with* |
| <Const_>AR_Sym10<_Ext><Plus> | 10 | adaptive/constant | double/long double/... | Algorithmic regularized 10th order symplectic method with* |
| <Const_>Chain_Sym2<_Ext><Plus> | 4 | adaptive/constant | double/long double/... | Chain coordinated 2nd order symplectic method with* |
| <Const_>Chain_Sym4<_Ext><Plus> | 4 | adaptive/constant | double/long double/... | Chain coordinated 4th order symplectic method with* |
| <Const_>Chain_Sym6<_Ext><Plus> | 6 | adaptive/constant | double/long double/... | Chain coordinated 6th order symplectic method with* |
| <Const_>Chain_Sym8<_Ext><Plus> | 8 | adaptive/constant | double/long double/... | Chain coordinated 8th order symplectic method with* |
| <Const_>Chain_Sym10<_Ext><Plus> | 10 | adaptive/constant | double/long double/... | Chain coordinated 10th order symplectic method with* |
| <Const_>AR_Sym2_Chain<_Ext><Plus> | 4 | adaptive/constant | double/long double/... | AR 2nd order symplectic Chain method with* |
| <Const_>AR_Sym4_Chain<_Ext><Plus> | 4 | adaptive/constant | double/long double/... | AR 4th order symplectic Chain method with* |
| <Const_>AR_Sym6_Chain<_Ext><Plus> | 6 | adaptive/constant | double/long double/... | AR 6th order symplectic Chain method with* |
| <Const_>AR_Sym8_Chain<_Ext><Plus> | 8 | adaptive/constant | double/long double/... | AR 8th order symplectic Chain method with* |
| <Const_>AR_Sym10_Chain<_Ext><Plus> | 10 | adaptive/constant | double/long double/... | AR 10th order symplectic Chain method with* |
| BS<_Ext><Plus> | adaptive | adaptive | double/long double/... | Bulirsch-Stoer extrapolation method with* |
| AR_BS<_Ext><Plus> | adaptive | adaptive | double/long double/... | Algorithmic regularized Bulirsch-Stoer method with* |
| Chain_BS<_Ext><Plus> | adaptive | adaptive | double/long double/... | Chain coordinated Bulirsch-Stoer method with* |
| AR_Chain<_Ext><Plus> | adaptive | adaptive | double/long double/... | AR-Chain method with* |
| <Const_>Radau<_Ext><Plus> | 15 | adaptive/constant | double/long double/... | Gauss-Radau method with* |
| <Const_>AR_Radau<_Ext><Plus> | 15 | adaptive/constant | double/long double/... | Algorithmic regularized Gauss-Radau method with* |
| <Const_>Chain_Radau<_Ext><Plus> | 15 | adaptive/constant | double/long double/... | Chain coordinated Gauss-Radau method with* |
| <Const_>AR_Radau_Chain<_Ext><Plus> | 15 | adaptive/constant | double/long double/... | AR Gauss-Radau Chain method with* |
| ABITS<_Plus> | adaptive | adaptive | mpreal/mpreal_k | Arbitrary precision method with* |
| AR_ABITS<_Plus> | adaptive | adaptive | mpreal/mpreal_k | Algorithmic regularized arbitrary precision method with* |