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":ref:`(Chen and Zhang, 2001) <chen_2001>` :ref:`(张海明, 2021) "
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"<zhang_book_2021>` 。"
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"In the :ref:`linear_filon` section, the process and core principles of Filon's integration are briefly introduced, namely **piecewise analytical solutions of the integral**. The following introduces the **Self-Adaptive Filon's Integration Method (SAFIM)**, which is **dynamic segmentation**, sampling more in regions where the kernel function changes drastically and less in regions where it changes smoothly. For detailed principles, see :ref:`(Chen and Zhang, 2001) <chen_2001>` :ref:`(Zhang Haiming, 2021) <zhang_book_2021>`."
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"In the :ref:`linear_filon` section, the process and core principles of "
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"Filon's integration are briefly introduced, namely **piecewise analytical"
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" solutions of the integral**. The following introduces the **Self-"
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"Adaptive Filon's Integration Method (SAFIM)**, which is **dynamic "
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"segmentation**, sampling more in regions where the kernel function "
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"changes drastically and less in regions where it changes smoothly. For "
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"detailed principles, see :ref:`(Chen and Zhang, 2001) <chen_2001>` "
"``<Ftol>`` 定义自适应采样精度,见 :ref:`(Chen and Zhang, 2001) <chen_2001>` "
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":ref:`(张海明, 2021) <zhang_book_2021>`,通常1e-2即可。"
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msgstr""
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"``<Ftol>`` defines the precision of self-adaptive sampling, see :ref:`(Chen and Zhang, 2001) <chen_2001>` :ref:`(张海明, 2021) <zhang_book_2021>`. In general set 1e-2."
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"``<Ftol>`` defines the precision of self-adaptive sampling, see "
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":ref:`(Chen and Zhang, 2001) <chen_2001>` :ref:`(张海明, 2021) "
"From the comparison chart, it is clear that SAFIM outlines the main features of the kernel function with fewer points, significantly improving computational efficiency. Although the SAFIM adds extra computational overhead, its computational advantage is not obvious in the small epicentral distance range, **but as the epicentral distance increases, the advantage of SAFIM becomes increasingly significant.**"
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"From the comparison chart, it is clear that SAFIM outlines the main "
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"features of the kernel function with fewer points, significantly "
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"improving computational efficiency. Although the SAFIM adds extra "
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"computational overhead, its computational advantage is not obvious in the"
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" small epicentral distance range, **but as the epicentral distance "
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"increases, the advantage of SAFIM becomes increasingly significant.**"
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