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 1 $I_1[f]$其中$M=16, q=12$, $m=4, 8, 16$的计算结果
$\omega$ $m$ $I_m[f]$ $|I1[f]-I_m[f]|$
$10^3$ $4$ $-0.012459303385353 + 0.020469089205557$i $ 9.5575\times 10^{-6}$
$8$ $-0.012451205919241 + 0.020474396104675$i $ 1.6932\times 10^{-7}$
$16$ $-0.012451244769401 + 0.020474243043113$i $1.1403\times 10^{-8}$
$I_1[f]$ $-0.012451247517459 + 0.020474231975995$i
$10^4$ $4$ $0.000616477977126 + 0.007687006555462$i $ 5.9071\times 10^{-6}$
$8$ $0.000619168389738 + 0.007681855738321$i $ 2.2109\times 10^{-7}$
$16$ $0.000619041935736 + 0.007681688151854$i $1.1399\times 10^{-8}$
$I_1[f]$ $0.000619033274177 + 0.007681680740797$i