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高振荡Hankel核积分方程的高效数值算法
吴清华

Efficient Numerical Methods for Integral Equations with Oscillatory Hankel Kernels
Qinghua Wu
表 3 绝对误差和计算时间, ω=10,100,160,200, N=4,8,16
ω N 计算时间(FMM) 计算时间(Convention) |CuωN−uωN|
10 4 2.4s 6.2s 0.0069
8 3.9s 24.2s 0.0304
16 14.1s 94.2s 0.054
100 4 10.8s 23.0s 2.91×10−5
8 52.0s 93.6s 9.34×10−5
16 179.6s 380.7.2s 1.84×10−4
160 4 14.7s 31.9s 1.18×10−5
8 69.9s 115.8s 7.15×10−5
16 405.0s 482.0s 5.38×10−4
200 4 15.9s 36.8s 8.68×10−6
8 71.5s 125.1s 1.42×10−5
16 427.0s 514.0s 3.00×10−5