A Fourier spectral method for the cutoff Boltzmann equation: Convergence analysis and numerical simulation

2026-10-12来源 arXiv cs.NAEnglish
arXiv:2603.26220v2 Announce Type: replace Abstract: 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 modes $N$.

原文:https://www.a8q9.cn/en/article/a-fourier-spectral-method-for-the-cutoff-boltzmann-equation-convergence-analysis-d1bddc.html

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