autopdex.solution_structures.precompute_projection

autopdex.solution_structures.precompute_projection(psdf_fun, alpha_fun, x_int, num_diff=1)

Precomputes the projection operator and its derivatives up to a specified order at given integration points.

Parameters:

• psdf_fun (callable) – Projection function.

• alpha_fun (callable) – Coefficient function.

• x_int (jnp.ndarray) – Integration points.

• num_diff (int, optional) – Number of derivatives to compute (0, 1, or 2). Default is 1.

Returns:

Precomputed projection values and derivatives.

• If num_diff == 0: (fun_i,)

• If num_diff == 1: (fun_i, dfun_i)

• If num_diff == 2: (fun_i, dfun_i, ddfun_i)

Return type:

tuple