Module numerical_ode 

Numerical ODE solvers with event detection and dense output.

Provides classic RK4, adaptive Dormand-Prince RK45 (with FSAL), implicit Euler, Crank-Nicolson (trapezoidal), BDF2 for stiff systems, zero-crossing event detection, and trajectory storage with interpolation.

Structs

BDF2

Second-order Backward Differentiation Formula (BDF2) for stiff ODEs.

CrossingEvent

Zero-crossing (event) detected during integration.

DormandPrince45

Dormand-Prince RK45 adaptive integrator with FSAL (First Same As Last).

EventDetection

Zero-crossing event detection via bisection root-finding.

ImplicitEuler

Implicit (backward) Euler integrator for stiff ODEs.

OdeSolution

Stored ODE trajectory with dense output via linear interpolation.

OdeState

Combined time and state vector for an ODE system.

RK4Integrator

Classic 4th-order Runge-Kutta integrator with optional adaptive step size.

Trapezoidal

Trapezoidal (Crank-Nicolson) integrator — second-order accurate, A-stable.