Skip to main content

Module dense

Module dense 

Source
Expand description

Dense output for continuous solution interpolation.

Dense output allows evaluation of the solution at any time within an integration step, not just at the step endpoints. This is essential for:

  • Output at user-specified times
  • Event detection (root finding)
  • Visualization with smooth trajectories

§Theory

For Runge-Kutta methods, dense output is achieved through polynomial interpolation using the stage values. The order of the interpolant is typically one less than the method order.

Author: Moussa Leblouba Date: 2 February 2026 Modified: 2 May 2026

Structs§

DenseOutput
Dense output for the complete solution.
DenseSegment
A segment of dense output covering one step.
DoPri5Interpolant
DoPri5 dense output interpolation.

Traits§

DenseInterpolant
Trait for methods that provide dense output.