| Tolerances | Tolerance configuration for adaptive step-size integrators. |
| AdaptiveStepper853 | Stateful adaptive stepper for DOP853. |
| Dop853 | Dormand-Prince 8(5,3) adaptive step-size integrator (DOP853). |
| AdaptiveStepper | Stateful adaptive stepper that encapsulates FSAL k1/dt management. |
| DormandPrince | Dormand-Prince RK5(4)7M adaptive step-size integrator. |
| Rk4 | Classic 4th-order Runge-Kutta integrator. |
| StormerVerlet | Störmer-Verlet (velocity Verlet) symplectic integrator. |
| Yoshida4 | Yoshida 4th-order symplectic integrator. |
| Yoshida6 | Yoshida 6th-order symplectic integrator. |
| Yoshida8 | Yoshida 8th-order symplectic integrator. |
| State | N-th order ODE state: ORDER vectors of DIM components each. |