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We present an improved spectral algorithm for Cauchy-characteristicextraction and characteristic evolution of gravitational waves in numericalrelativity. The new algorithms improve spectral convergence both at the polesof the spherical-polar grid and at future null infinity, as well as increasethe temporal resolution of the code. The key to the success of these algorithmsis a new set of high-accuracy tests, which we present here. We demonstrate theaccuracy of the code and compare with the existing PittNull implementation.

Spectral Cauchy-characteristic extraction of the gravitational wave news function