Module functions 

Auto-generated module

🤖 Generated with SplitRS

Traits

OdeSystem

Trait representing the right-hand side of an ODE system dy/dt = f(t, y).

Functions

adaptive_rk45

Adaptive RK45 integration using Dormand-Prince.

euler_step

Euler forward step: y_new = y + dt * dydt

implicit_euler_step

Implicit Euler step: solve (I - dt*J) * y_new = y + dt*rhs.

leapfrog_step

Leapfrog step (Störmer-Verlet).

mixed_error_norm

Compute the mixed absolute/relative RMS error norm.

rk2_step

RK2 midpoint method (Heun’s method): y_new = y + dt * f(y + 0.5*dt*f(y))

rk4_step

Classic RK4 step.

rk45_step

Dormand-Prince RK45 adaptive step.

solve_linear_system

Solves a linear system A * x = b using Gaussian elimination with partial pivoting.

velocity_verlet

Velocity-Verlet step.