A FAST SPECTRAL METHOD FOR THE BOLTZMANN COLLISION OPERATOR WITH GENERAL COLLISION KERNELS
A FAST SPECTRAL METHOD FOR THE BOLTZMANN COLLISION OPERATOR WITH GENERAL COLLISION KERNELS
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DOI：
10.1137/16m1096001
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发表时间：
2017-01-01
影响因子：
3.1
通讯作者：
Hu, Jingwei
中科院分区：
文献类型：
--
作者：
Gamba, Irene M.;Haack, Jeffrey R.;Hu, Jingwei
提出了具有一般碰撞核的玻尔兹曼碰撞算子的一种简单快速谱方法。与直接谱法相比[L。帕雷希和G. Russo, SIAM J. number。分析的。， 37 (2000), pp. 1217-1245；I. M. Gamba和S. H. Tharkabhushanam， J. Comput。理论物理。[j], 228 (2009), pp. 2012-2036]，该方法需要O（N-6）内存来存储预先计算的权重，并且具有O（N-6）数值复杂度，新方法的复杂度为O(MN4 log N)，其中N为三个速度维度中每个维度的离散点数，M为球体和M上的离散点总数
We propose a simple fast spectral method for the Boltzmann collision operator with general collision kernels. In contrast to the direct spectral method [L. Pareschi and G. Russo, SIAM J. Numer. Anal., 37 (2000), pp. 1217-1245; I. M. Gamba and S. H. Tharkabhushanam, J. Comput. Phys., 228 (2009), pp. 2012-2036], which requires O(N-6) memory to store precomputed weights and has O(N-6) numerical complexity, the new method has complexity O(MN4 log N), where N is the number of discretization points in each of the three velocity dimensions and M is the total number of discretization points on the sphere and M