抛物积分微分方程的Wilson元收敛性分析
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梁聪刚,杨晓侠,石东洋
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Convergence Analysis of Wilson Element for Parabolic Integro-Differential Equation
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Conggang Liang,Xiaoxia Yang,Dongyang Shi
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表 1 $t=0.5$时的数值计算结果($\tau=h^2)$
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| $m\times m$ | $\left\| {u-u_h } \right\|_h $ | 收敛阶 | $\left\| {u-u_h } \right\|_0 $ | 收敛阶 | | $4\times 4$ | 0.023734626 | --- | 0.000995509 | --- | | $8\times 8$ | 0.006276340 | 1.9190 | 0.000187996 | 2.4047 | | $16\times 16$ | 0.001559389 | 2.0089 | 0.000043305 | 2.1181 | | $32\times 32$ | 0.000386405 | 2.0128 | 0.000010702 | 2.0167 |
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