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We describe an efficient algorithm for calculating the statistics of weaklensing by large-scale structure based on a tiled set of independentparticle-mesh N-body simulations which telescope in resolution along the lineof sight. This efficiency allows us to predict not only the mean properties oflensing observables such as the power spectrum, skewness and kurtosis of theconvergence, but also their sampling errors for finite fields of view, whichare themselves crucial for assessing the cosmological significance ofobservations. We find that the nongaussianity of the distribution substantiallyincreases the sampling errors for the skewness and kurtosis in the several totens of arcminutes regime, whereas those for the power spectrum are onlyfractionally increased even out to wavenumbers where shot noise from theintrinsic ellipticities of the galaxies will likely dominate the errors.Comment: 12 pages, 13 figures; minor changes reflect accepted versio

A New Algorithm for Computing Statistics of Weak Lensing by Large‐Scale Structure