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 2 $t=1$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 | | $4\times 4$ | 0.039374206 | --- | 0.001662729 | --- | | $8\times 8$ | 0.010324365 | 1.9312 | 0.000341116 | 2.2852 | | $16\times 16$ | 0.002554045 | 2.0152 | 0.000082887 | 2.0410 | | $32\times 32$ | 0.000631856 | 2.0151 | 0.000020794 | 1.9950 |
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