A fast FFT-based spectral method computes 3-wave kinetic and C12 quantum Boltzmann collision operators in O(L(2N)^{2d} log(2N)) operations and shows apparent energy cascades in non-radial 3D simulations.
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Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$
A fast FFT-based spectral method computes 3-wave kinetic and C12 quantum Boltzmann collision operators in O(L(2N)^{2d} log(2N)) operations and shows apparent energy cascades in non-radial 3D simulations.