IntegratorStep.hpp File Reference

Single-step explicit ODE integrators for Janus framework. More...

#include "janus/core/JanusConcepts.hpp"
#include "janus/core/JanusTypes.hpp"
#include <Eigen/Dense>

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Classes
struct	janus::SecondOrderStepResult< Scalar >
	Result of a second-order integration step. More...
struct	janus::RK45Result< Scalar >
	Result of RK45 step with error estimate. More...

Namespaces
namespace	janus

Functions
template<typename Scalar, typename Func>
JanusVector< Scalar >	janus::euler_step (Func &&f, const JanusVector< Scalar > &x, Scalar t, Scalar dt)
	Forward Euler integration step.
template<typename Scalar, typename Func>
JanusVector< Scalar >	janus::rk2_step (Func &&f, const JanusVector< Scalar > &x, Scalar t, Scalar dt)
	Heun's method (RK2) integration step.
template<typename Scalar, typename Func>
JanusVector< Scalar >	janus::rk4_step (Func &&f, const JanusVector< Scalar > &x, Scalar t, Scalar dt)
	Classic 4th-order Runge-Kutta integration step.
template<typename Scalar, typename AccelFunc>
SecondOrderStepResult< Scalar >	janus::stormer_verlet_step (AccelFunc &&acceleration, const JanusVector< Scalar > &q, const JanusVector< Scalar > &v, Scalar t, Scalar dt)
	Stormer-Verlet / velocity-Verlet step for q'' = a(t, q).
template<typename Scalar, typename AccelFunc>
SecondOrderStepResult< Scalar >	janus::rkn4_step (AccelFunc &&acceleration, const JanusVector< Scalar > &q, const JanusVector< Scalar > &v, Scalar t, Scalar dt)
	Classical 4th-order Runge-Kutta-Nystrom step for q'' = a(t, q).
template<typename Scalar, typename Func>
RK45Result< Scalar >	janus::rk45_step (Func &&f, const JanusVector< Scalar > &x, Scalar t, Scalar dt)
	Dormand-Prince RK45 integration step with embedded error estimate.

Detailed Description

Single-step explicit ODE integrators for Janus framework.

Provides euler_step, rk2_step, rk4_step, and rk45_step for explicit fixed-step integration. All functions are templated on Scalar for dual-mode (numeric/symbolic) compatibility.

These are the fundamental building blocks used by solve_ivp and can be called directly for custom simulation loops.