A fast Fourier spectral method solves the wave kinetic equation with reduced cost O(M N^d log N) by converting the operator to a spherical integral and exploiting mass-momentum conservation for convolution structure.
Womersley , Symmetric Spherical Designs on the sphere S2 with good geometric properties, The University of New South Wales
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A fast Fourier spectral method for wave kinetic equation
A fast Fourier spectral method solves the wave kinetic equation with reduced cost O(M N^d log N) by converting the operator to a spherical integral and exploiting mass-momentum conservation for convolution structure.