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A Fourier spectral method for the cutoff Boltzmann equation: Convergence analysis and numerical simulation
This work presents a novel Fourier spectral method for the cutoff spatially homogeneous Boltzmann equation with Maxwellian and hard potentials. We establish finite-time error estimates in a weighted whole-space $L^2$ norm, with explicit dependence on the velocity cutoff $R$ and the number of Fourier
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