Numerical accuracy and computation time of the scale-discretised wavelet transform computed with S2LET. We consider L = 2ⁱ with i ∈  { 2,...,10 }, with parameters λ = 2, J₀ = 0. These results are averaged over many realisations of random band-limited signals and were found to be very stable. The scale-discretised transform is either performed at full-resolution (solid lines) or with the multiresolution algorithm (dashed lines). Very good numerical accuracy is achieved by both the full-resolution and multiresolution algorithms (which achieve indistinguishable accuracy), with numerical errors comparable to floating-point precision, found empirically to scale as as shown by the red line in panel a). Computation time scales as for both algorithms as shown by the red line in panel b), in agreement with theory. The multiresolution algorithm is four to five times faster than the full-resolution approach for the band-limits considered.