{"id":123853,"date":"2026-11-08T08:40:58","date_gmt":"2026-11-08T00:40:58","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/123853.html"},"modified":"2026-11-08T08:40:58","modified_gmt":"2026-11-08T00:40:58","slug":"%e3%80%90pinn%e7%b3%bb%e5%88%97python%e5%ae%9e%e7%8e%b0%e3%80%91a1-%e7%bb%9f%e4%b8%80%e5%ae%9e%e9%aa%8c%e6%a1%86%e6%9e%b6%e4%b8%8e%e5%a4%8d%e7%8e%b0%e8%a7%84%e8%8c%83%ef%bc%9a%e4%bb%8e%e9%9b%b6","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/123853.html","title":{"rendered":"\u3010PINN\u7cfb\u5217&Python\u5b9e\u73b0\u3011A1 \u7edf\u4e00\u5b9e\u9a8c\u6846\u67b6\u4e0e\u590d\u73b0\u89c4\u8303\uff1a\u4ece\u96f6\u642d\u5efa\u53ef\u590d\u7528\u7684 1D Burgers PINN"},"content":{"rendered":"

\/* MD \/ \u5bcc\u6587\u672c\u4e2d\u7684 .toc\uff08\u542b\u535a\u5ba2\u56ed\u642c\u5bb6\u7b49\u5d4c\u5957\u7ed3\u6784\uff09\uff1b.toc-box \u5728\u4fa7\u680f\uff0c\u4e0d\u53d7\u5f71\u54cd *\/
\n #content_views .toc,
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\n #content_views.markdown_views > p:empty:has(+ .toc),
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\n \/* \u5bcc\u6587\u672c\u65e7\u7248\u76ee\u5f55\u6807\u8bb0 *\/
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\n #content_views.markdown_views > .toc + h1,
\n #content_views.markdown_views > .toc + h2,
\n #content_views.markdown_views > .toc + h3,
\n #content_views.markdown_views > .toc + h4,
\n #content_views.markdown_views > .toc + p:empty + h1,
\n #content_views.markdown_views > .toc + p:empty + h2,
\n #content_views.markdown_views > .toc + p:empty + h3,
\n #content_views.markdown_views > .toc + p:empty + h4 {
\n margin-top: 0 !important;
\n }<\/p>\n

\u3010PINN\u7cfb\u5217&Python\u5b9e\u73b0\u3011A1 \u7edf\u4e00\u5b9e\u9a8c\u6846\u67b6\u4e0e\u590d\u73b0\u89c4\u8303\uff1a\u4ece\u96f6\u642d\u5efa\u53ef\u590d\u7528\u7684 1D Burgers PINN<\/h2>\n

\u9605\u8bfb\u5bfc\u89c8\uff1a\u672c\u6587\u4ece\u96f6\u642d\u5efa\u4e00\u4e2a\u53ef\u590d\u7528\u7684 PINN \u5b9e\u9a8c\u6846\u67b6\uff0c\u4ee5 1D Burgers \u65b9\u7a0b\u4e3a\u4f8b\u8dd1\u901a\u201c\u91c7\u6837\u2014\u4e8c\u9636\u81ea\u52a8\u5fae\u5206\u2014\u635f\u5931\u7ec4\u88c5\u2014\u8bad\u7ec3\u2014\u8bc4\u4f30\u2014\u51fa\u56fe\u201d\u5168\u6d41\u7a0b\uff1b\u7ed9\u51fa \u03bd=0.02 \u7684\u6210\u529f\u57fa\u7ebf\u4e0e \u03bd=0.01\/\u03c0 \u7684\u5931\u8d25\u538b\u529b\u6d4b\u8bd5\uff0c\u5e2e\u52a9\u8bfb\u8005\u4e00\u6b21\u8bfb\u61c2 PINN \u7684\u5de5\u7a0b\u7ec6\u8282\u4e0e\u5931\u6548\u8fb9\u754c\u3002<\/p>\n

\u7b97\u6cd5\u5361\u7247<\/h3>\n\n\n \u9879\u76ee
\n \u5185\u5bb9
\n <\/tr>\n\n\n\n\n\n\n
\u7b97\u6cd5\u5b9a\u4f4d<\/td>\n\u9999\u8349 PINN\uff08vanilla PINN\uff09\uff0b\u7edf\u4e00\u5b9e\u9a8c\u6846\u67b6<\/td>\n<\/tr>\n
\u95ee\u9898\u7c7b\u578b<\/td>\n\u6b63\u5411 PDE \u6c42\u89e3\uff08\u6846\u67b6\u53ef\u6269\u5c55\u5230\u53cd\u95ee\u9898\uff09<\/td>\n<\/tr>\n
\u6838\u5fc3\u601d\u60f3<\/td>\n\u7528 MLP \u8fd1\u4f3c u(x,t)\uff0c\u628a PDE \u6b8b\u5dee\u3001\u521d\u59cb\u6761\u4ef6\u3001\u8fb9\u754c\u6761\u4ef6\u4f5c\u4e3a\u8f6f\u7ea6\u675f\u635f\u5931<\/td>\n<\/tr>\n
\u5173\u952e\u5b9e\u73b0<\/td>\nPyTorch autograd \u6c42\u4e00\u9636\/\u4e8c\u9636\u5bfc\u6570\uff1b\u56fa\u5b9a\u914d\u70b9\uff1bAdam<\/td>\n<\/tr>\n
\u6210\u529f\u57fa\u7ebf<\/td>\n\u03bd=0.02\uff0c12000 \u6b21\u8fed\u4ee3\uff0c\u76f8\u5bf9 L2 = 2.27\u00d710\u207b\u00b3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

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