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最优化广义离散shannon奇异核褶积微分算子地震波场模拟

Keywords: 地震波场,广义shannon奇异核,数值模拟

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Abstract:

?本文运用广义离散shannon奇异核褶积微分算子(gdscd)计算波动方程的空间导数,推导了-阶和二阶gdscd的具体形式,并提出了系数优化方法,即在频率域逼近平面波的真实导数,得到不同半径和采样下限的最优权系数。通过计算滤波响应分析算子精度,与多种数值方法进行了对比。模型试算结果表明,本文构造的最优化gdscd方法模拟地震波具有高精度、高效率的特点。

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