autopdex.dae.detect_stage_dependencies

autopdex.dae.detect_stage_dependencies(A)

Detects coupled structures (strongly connected components) in the Butcher matrix A and identifies explicit stages.

Parameters:

A (ndarray) – Butcher matrix of stage coefficients (s x s).

Returns:

A list of lists containing the indices of coupled stages. explicit_stages (list): A list of indices corresponding to explicit stages. block_dependencies (dict): A dictionary mapping each block to its dependent blocks.

Return type:

stage_blocks (list)