{"id":8961,"date":"2024-06-16T05:23:31","date_gmt":"2024-06-15T21:23:31","guid":{"rendered":"https:\/\/lovebuy.org\/?product=%e3%80%90%e6%9c%89%e9%99%90%e5%85%83%e6%b3%95%e7%90%86%e8%ab%96%e6%a0%bc%e5%bc%8f%e8%88%87%e6%b1%82%e8%a7%a3%e6%96%b9%e6%b3%95%e3%80%91%ef%bc%88%e4%b8%8a%e3%80%81%e4%b8%8b%e5%86%8c%ef%bc%89"},"modified":"2024-06-16T14:04:03","modified_gmt":"2024-06-16T06:04:03","slug":"%e3%80%90%e6%9c%89%e9%99%90%e5%85%83%e6%b3%95%e7%90%86%e8%ab%96%e6%a0%bc%e5%bc%8f%e8%88%87%e6%b1%82%e8%a7%a3%e6%96%b9%e6%b3%95%e3%80%91%ef%bc%88%e4%b8%8a%e3%80%81%e4%b8%8b%e5%86%8c%ef%bc%89","status":"publish","type":"product","link":"https:\/\/lovebuy.org\/?product=%e3%80%90%e6%9c%89%e9%99%90%e5%85%83%e6%b3%95%e7%90%86%e8%ab%96%e6%a0%bc%e5%bc%8f%e8%88%87%e6%b1%82%e8%a7%a3%e6%96%b9%e6%b3%95%e3%80%91%ef%bc%88%e4%b8%8a%e3%80%81%e4%b8%8b%e5%86%8c%ef%bc%89","title":{"rendered":"\u3010\u6709\u9650\u5143\u6cd5\u7406\u8ad6\u683c\u5f0f\u8207\u6c42\u89e3\u65b9\u6cd5\u3011\uff08\u4e0a\u3001\u4e0b\u518c\uff09"},"content":{"rendered":"

\"\u4e3b\u56fe-01.jpg\"\/<\/p>\n

\u3010\u6709\u9650\u5143\u6cd5\u7406\u8ad6\u683c\u5f0f\u8207\u6c42\u89e3\u65b9\u6cd5\u3011\uff08\u4e0a\u518c\uff09<\/strong><\/strong>
<\/strong><\/p>\n

\u5167\u5bb9\u7c21\u4ecb<\/span><\/strong><\/p>\n

\u6709\u9650\u5143\u6cd5\u662f\u7576\u4eca\u5de5\u7a0b\u5206\u6790\u548c\u79d1\u5b78\u7814\u7a76\u4e0d\u53ef\u6216\u7f3a\u7684\u65b9\u6cd5\uff0c\u5728\u79d1\u5b78\u8a08\u7b97\u9818\u57df\u6709\u9650\u5143\u6cd5\u4e0d\u50c5\u5be6\u7528\u3001\u9ad8\u6548\uff0c\u800c\u4e14\u61c9\u7528\u5ee3\u6cdb\u3002 \u5168\u66f8\u517112\u7ae0\uff0c\u5206\u70ba\u4e0a\u3001\u4e0b\u5169\u518c\uff0c\u4e0a\u518c\u5305\u62ec\u7b2c1\u20145\u7ae0\uff0c\u4e0b\u518c\u5305\u62ec\u7b2c6\u2014\u201412\u7ae0\u3002 \u672c\u518c\u4e3b\u8981\u5167\u5bb9\uff1a\u6709\u9650\u5143\u6cd5\u61c9\u7528\u5c0e\u8ad6\uff0c\u5411\u91cf\u3001\u77e9\u9663\u548c\u5f35\u91cf\uff0c\u5de5\u7a0b\u5206\u6790\u7684\u57fa\u672c\u6982\u5ff5\u53ca\u6709\u9650\u5143\u6cd5\u5c0e\u8ad6\uff0c\u6709\u9650\u5143\u6cd5\u7684\u69cb\u9020\u2014\u2014\u56fa\u9ad4\u529b\u5b78\u548c\u7d50\u69cb\u529b\u5b78\u4e2d\u7684\u7dda\u6027\u5206\u6790\uff0c\u4ee5\u53ca\u7b49\u53c3\u6709\u9650\u55ae\u5143\u77e9\u9663\u7684\u69cb\u9020\u8207\u8a08\u7b97\u3002<\/p>\n

\u6240\u4ecb\u7d39\u7684\u65b9\u6cd5\u901a\u7528\u3001\u53ef\u9760\u548c\u6709\u6548\uff0c\u96d6\u7136\u662f\u57fa\u672c\u7684\u65b9\u6cd5\uff0c\u4f46\u5728\u5c07\u4f86\u5f88\u5ee0\u4e00\u6bb5\u6642\u9593\u4ecd\u6703\u5f97\u5230\u4e0d\u65b7\u61c9\u7528\uff0c\u9019\u4e9b\u65b9\u6cd5\u4e5f\u5c07\u6210\u70ba\u8a72\u9818\u57df\u767c\u5c55\u7684\u57fa\u790e\u3002 \u8a72\u66f8\u539f\u8457\u4f5c\u8005Klaus-J\u00fcrgen Bathe\u6559\u6388\u5728\u7f8e\u570b\u9ebb\u7701\u7406\u5de5\u5b78\u9662\uff08MIT\uff09\u7684\u7db2\u9801\u6709\u5927\u91cf\u7684\u8cc7\u6599\uff0c\u5982\u5b78\u8853\u8ad6\u6587\u3001\u8b1b\u8ab2\u8996\u983b\u3001\u7fd2\u984c\u7b54\u6848\u548c\u96fb\u5b50\u6559\u6848\u7b49\uff0c\u8b80\u8005\u53ef\u5b78\u7fd2\u3001\u7814\u7a76\u548c\u4f7f\u7528\u3002<\/p>\n

\u5167\u5bb9\u5168\u9762\uff0c\u5be6\u4f8b\u8c50\u5bcc\uff0c\u53ef\u4f9b\u9ad8\u5e74\u7d1a\u5927\u5b78\u751f\u548c\u7814\u7a76\u751f\u7684\u8ab2\u7a0b\u5b78\u7fd2\uff0c\u4e5f\u53ef\u4f5c\u70ba\u5f9e\u4e8b\u6709\u9650\u5143\u7814\u7a76\u7684\u5c08\u696d\u4eba\u54e1\u548c\u5de5\u7a0b\u6280\u8853\u4eba\u54e1\u7684\u53c3\u8003\u8cc7\u6599\uff0c\u9084\u9069\u5408\u985e\u6bd4\u79d1\u5b78\u548c\u5de5\u7a0b\u9818\u57df\u7684\u61c9\u7528\u6578\u5b78\u5bb6\u548c\u5de5\u7a0b\u5e2b\u95b1\u8b80\u4f7f\u7528\u3002<\/p>\n

\u76ee\u9304<\/span><\/strong><\/p>\n

\u7b2c1\u7ae0\u6709\u9650\u5143\u6cd5\u61c9\u7528\u5c0e\u8ad6<\/p>\n

1.1\u5f15\u8a00<\/p>\n

1.2\u7269\u7406\u554f\u984c\u3001\u6578\u5b78\u6a21\u578b\u548c\u6709\u9650\u5143\u89e3<\/p>\n

1.3\u6709\u9650\u5143\u5206\u6790\u662f\u96fb\u8166\u8f14\u52a9\u8a2d\u8a08\u7684\u91cd\u8981\u7d44\u6210\u90e8\u5206<\/p>\n

1.4\u4e00\u4e9b\u7814\u7a76\u6210\u679c<\/p>\n

\u7b2c2\u7ae0\u5411\u91cf\u3001\u77e9\u9663\u548c\u5f35\u91cf<\/p>\n

2.1\u5f15\u8a00<\/p>\n

2.2\u77e9\u9663\u6982\u8ff0<\/p>\n

2.3\u5411\u91cf\u7a7a\u9593<\/p>\n

2.4\u5f35\u91cf\u7684\u5b9a\u7fa9<\/p>\n

2.5\u5c0d\u7a31\u7279\u5fb5\u554f\u984cAv\uff1a \u03bb v<\/p>\n

2.6 Rayleigh\u5546\u548c\u7279\u5fb5\u503c\u7684\u6975\u5c0f\u6975\u5927\u7279\u6027<\/p>\n

2.7\u5411\u91cf\u6a21\u548c\u77e9\u9663\u6a21<\/p>\n

2.8\u7fd2\u984c<\/p>\n

\u7b2c3\u7ae0\u5de5\u7a0b\u5206\u6790\u7684\u57fa\u672c\u6982\u5ff5\u53ca\u6709\u9650\u5143\u6cd5\u5c0e\u8ad6<\/p>\n

3.1\u5f15\u8a00<\/p>\n

3.2\u96e2\u6563\u7cfb\u7d71\u6578\u5b78\u6a21\u578b\u6c42\u89e3<\/p>\n

3.2.1\u7a69\u614b\u554f\u984c<\/p>\n

3.2.2\u50b3\u64ad\u554f\u984c<\/p>\n

3.2.3\u7279\u5fb5\u503c\u554f\u984c<\/p>\n

3.2.4\u95dc\u65bc\u89e3\u7684\u6027\u8cea<\/p>\n

3.2.5\u7fd2\u984c<\/p>\n

3.3\u9023\u7e8c\u7cfb\u7d71\u6578\u5b78\u6a21\u578b\u7684\u6c42\u89e3<\/p>\n

3.3.1\u5fae\u5206\u5f62\u5f0f<\/p>\n

3.3.2\u8b8a\u5206\u5f62\u5f0f<\/p>\n

3.3.3\u52a0\u6b0a\u9918\u91cf\u6cd5\u548c\u88cf\u8328\u6cd5<\/p>\n

3.3.4\u5fae\u5206\u5f62\u5f0f\u3001Galerkin\u5f62\u5f0f\u3001\u865b\u4f4d\u79fb\u539f\u7406\u548c\u6709\u9650\u5143\u6c42\u89e3\u7c21\u4ecb<\/p>\n

3.3.5\u6709\u9650\u5dee\u5206\u6cd5\u548c\u80fd\u91cf\u6cd5<\/p>\n

3.3.6\u7fd2\u984c<\/p>\n

3.4\u7d04\u675f\u7684\u65bd\u52a0<\/p>\n

3.4.1 Lagrange\u4e58\u5b50\u6cd5\u548c\u7f70\u51fd\u6578\u6cd5\u6982\u8ff0<\/p>\n

3.4.2\u7fd2\u984c<\/p>\n

\u7b2c4\u7ae0\u6709\u9650\u5143\u6cd5\u7684\u69cb\u9020\uff1a\u56fa\u9ad4\u529b\u5b78\u548c\u7d50\u69cb\u529b\u5b78\u4e2d\u7684\u7dda\u6027\u5206\u6790<\/p>\n

4.1\u5f15\u8a00<\/p>\n

4.2\u57fa\u65bc\u4f4d\u79fb\u7684\u6709\u9650\u5143\u65b9\u6cd5\u69cb\u9020<\/p>\n

4.2.1\u6709\u9650\u5143\u5e73\u8861\u65b9\u7a0b\u7d44\u7684\u4e00\u822c\u63a8\u5c0e<\/p>\n

4.2.2\u4f4d\u79fb\u908a\u754c\u689d\u4ef6\u7684\u65bd\u52a0<\/p>\n

4.2.3\u67d0\u4e9b\u5177\u9ad4\u554f\u984c\u7684\u5ee3\u7fa9\u5ea7\u6a19\u6a21\u578b<\/p>\n

4.2.4\u7d50\u69cb\u7279\u6027\u548c\u8f09\u8377\u7684\u96c6\u4e2d<\/p>\n

4.2.5\u7fd2\u984c<\/p>\n

4.3\u5206\u6790\u7d50\u679c\u7684\u6536\u6582\u6027<\/p>\n

4.3.1\u6a21\u578b\u554f\u984c\u548c\u6536\u6582\u6027\u7684\u5b9a\u7fa9<\/p>\n

4.3.2\u55ae\u8abf\u6536\u6582\u6e96\u5247<\/p>\n

4.3.3\u55ae\u8abf\u6536\u6582\u6709\u9650\u5143\u89e3\uff1aRitz\u89e3<\/p>\n

4.3.4\u6709\u9650\u5143\u89e3\u7684\u6027\u8cea<\/p>\n

4.3.5\u6536\u6582\u901f\u7387<\/p>\n

4.3.6\u61c9\u529b\u8a08\u7b97\u548c\u8aa4\u5dee\u4f30\u8a08<\/p>\n

4.3.7\u7fd2\u984c<\/p>\n

4.4\u975e\u5354\u8abf\u6709\u9650\u5143\u548c\u6df7\u5408\u6709\u9650\u5143\u6a21\u578b<\/p>\n

4.4.1\u57fa\u65bc\u4f4d\u79fb\u7684\u975e\u5354\u8abf\u6a21\u578b<\/p>\n

4.4.2\u6df7\u5408\u683c\u5f0f<\/p>\n

4.4.3\u4e0d\u53ef\u58d3\u7e2e\u5206\u6790\u7684\u6df7\u5408\u63d2\u503c\u4f4d\u79fb\uff0f\u58d3\u529b\u683c\u5f0f<\/p>\n

4.4.4\u7fd2\u984c<\/p>\n

4.5\u4e0d\u53ef\u58d3\u7e2e\u4ecb\u8cea\u548c\u7d50\u69cb\u554f\u984c\u5206\u6790\u7684inf-sup\u689d\u4ef6<\/p>\n

4.5.1\u5f9e\u6536\u6582\u6027\u532f\u51fainf-sup\u689d\u4ef6<\/p>\n

4.5.2\u5f9e\u77e9\u9663\u65b9\u7a0b\u63a8\u5c0einf-sup\u689d\u4ef6<\/p>\n

4.5.3\u5e38\uff08\u7269\u7406\uff09\u58d3\u529b\u6a21\u5f0f<\/p>\n

4.5.4\u507d\u58d3\u529b\u6a21\u5f0f\uff1a\u5b8c\u5168\u4e0d\u53ef\u58d3\u7e2e\u60c5\u51b5<\/p>\n

\u2026\u2026<\/p>\n

\u7b2c5\u7ae0\u7b49\u53c3\u6709\u9650\u55ae\u5143\u77e9\u9663\u7684\u69cb\u9020\u8207\u8a08\u7b97<\/p>\n

\u53c3\u8003\u6587\u737b<\/p>\n

\u7d22\u5f15<\/p>\n

\u8b6f\u8005\u5f8c\u8a18<\/p>\n

———————————————————–<\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong>
<\/span><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/p>\n

<\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/strong><\/strong><\/p>\n

<\/p>\n

\u3010\u6709\u9650\u5143\u6cd5\u7406\u8ad6\u683c\u5f0f\u8207\u6c42\u89e3\u65b9\u6cd5\u3011\uff08\u4e0b\u518c\uff09<\/strong><\/p>\n

\u5167\u5bb9\u7c21\u4ecb<\/span><\/strong><\/p>\n

\u6709\u9650\u5143\u6cd5\u662f\u7576\u4eca\u5de5\u7a0b\u5206\u6790\u548c\u79d1\u5b78\u7814\u7a76\u4e0d\u53ef\u6216\u7f3a\u7684\u65b9\u6cd5\uff0c\u5728\u79d1\u5b78\u8a08\u7b97\u9818\u57df\u6709\u9650\u5143\u6cd5\u4e0d\u50c5\u5be6\u7528\u3001*\u6548\uff0c\u800c\u4e14\u61c9\u7528\u5ee3\u6cdb\u3002 \u5168\u66f8\u517112\u7ae0\uff0c\u5206\u70ba\u4e0a\u3001\u4e0b\u5169\u518c\uff0c\u4e0a\u518c\u5305\u62ec1\u20145\u7ae0\uff0c\u4e0b\u518c\u5305\u62ec6–12\u7ae0\u3002 \u672c\u518c\u4e3b\u8981\u5167\u5bb9\uff1a\u57fa\u65bc\u56fa\u9ad4\u529b\u5b78\u548c\u7d50\u69cb\u529b\u5b78\u7684\u975e\u7dda\u6027\u6709\u9650\u5143\u5206\u6790\uff0c\u50b3\u71b1\u3001\u5834\u548c\u4e0d\u53ef\u58d3\u7e2e\u6d41\u9ad4\u6d41\u52d5\u554f\u984c\u7684\u6709\u9650\u5143\u5206\u6790\uff0c\u975c\u614b\u5206\u6790\u4e2d\u5e73\u8861\u65b9\u7a0b\u7d44\u7684\u6c42\u89e3\uff0c\u52d5\u529b\u5b78\u5206\u6790\u4e2d\u5e73\u8861\u65b9\u7a0b\u6c42\u89e3\uff0c\u7279\u5fb5\u554f\u984c\u7684\u6c42\u89e3\u57fa\u790e\uff0c\u7279\u5fb5\u554f\u984c\u7684\u89e3\u6cd5\uff0c\u4ee5\u53ca\u6709\u9650\u5143\u6cd5\u7684\u5be6\u73fe\u3002 \u672c\u66f8\u6240\u4ecb\u7d39\u7684\u65b9\u6cd5\u901a\u7528\u3001\u53ef\u9760\u548c*\u6548\uff0c\u96d6\u7136\u662f*\u57fa\u672c\u7684\u65b9\u6cd5\uff0c\u4f46\u5728\u5c07\u4f86\u5f88\u5ee0\u4e00\u6bb5\u6642\u9593\u4ecd\u6703\u5f97\u5230\u4e0d\u65b7\u61c9\u7528\uff0c\u9019\u4e9b\u65b9\u6cd5\u4e5f\u5c07\u6210\u70ba\u8a72\u9818\u57df*\u65b0\u767c\u5c55\u7684\u57fa\u790e\u3002 \u672c\u66f8\u539f\u8457\u4f5c\u8005Klaus-J\u00fcrgen Bathe\u6559\u6388\u5728\u7f8e*\u9ebb\u7701\u7406\u5de5\u5b78\u9662\uff08MIT\uff09\u7684\u7db2\u9801\u6709\u5927\u91cf\u7684\u8cc7\u6599\uff0c\u5982\u5b78\u8853\u8ad6\u6587\u3001\u8b1b\u8ab2\u8996\u983b\u3001\u7fd2\u984c\u7b54\u6848\u548c\u96fb\u5b50\u6559\u6848\u7b49\uff0c\u8b80\u8005\u53ef\u5b78\u7fd2\u3001\u7814\u7a76\u548c\u4f7f\u7528\u3002 \u672c\u66f8\u5167\u5bb9\u5168\u9762\uff0c\u5be6\u4f8b\u8c50\u5bcc\uff0c\u53ef\u4f9b\u9ad8\u5e74\u7d1a\u5927\u5b78\u751f\u548c\u7814\u7a76\u751f\u7684\u8ab2\u7a0b\u5b78\u7fd2\uff0c\u4e5f\u53ef\u4f5c\u70ba\u5f9e\u4e8b\u6709\u9650\u5143\u7814\u7a76\u7684\u5c08\u696d\u4eba\u54e1\u548c\u5de5\u7a0b\u6280\u8853\u4eba\u54e1\u7684\u53c3\u8003\u8cc7\u6599\uff0c\u9084\u9069\u5408\u985e\u6bd4\u79d1\u5b78\u548c\u5de5\u7a0b\u9818\u57df\u7684\u61c9\u7528\u6578\u5b78\u5bb6\u548c\u5de5\u7a0b\u5e2b\u95b1\u8b80\u4f7f\u7528\u3002<\/p>\n

\u76ee\u9304<\/span><\/strong><\/p>\n

\u524d\u8f14\u6587<\/p>\n

\u7b2c6\u7ae0\u57fa\u65bc\u56fa\u9ad4\u529b\u5b78\u548c\u7d50\u69cb\u529b\u5b78\u7684\u975e\u7dda\u6027\u6709\u9650\u5143\u5206\u6790<\/p>\n

6.1\u975e\u7dda\u6027\u5206\u6790\u5f15\u8a00<\/p>\n

6.2\u9023\u7e8c\u4ecb\u8cea\u529b\u5b78\u589e\u91cf\u904b\u52d5\u65b9\u7a0b\u7684\u63a8\u5c0e<\/p>\n

6.2.1\u57fa\u672c\u554f\u984c<\/p>\n

6.2.2\u8b8a\u5f62\u68af\u5ea6\uff1f \u61c9\u8b8a\u5f35\u91cf\u548c\u61c9\u529b\u5f35\u91cf<\/p>\n

6.2.3\u9023\u7e8c\u4ecb\u8cea\u529b\u5b78\u7684\u589e\u91cf\u5b8c\u5168\u548c\u66f4\u65b0Lagrange\u683c\u5f0f\uff0c\u50c5\u8cc7\u6599\u975e\u7dda\u6027\u5206\u6790<\/p>\n

6.2.4\u7fd2\u984c<\/p>\n

6.3\u57fa\u65bc\u4f4d\u79fb\u7684\u7b49\u53c3\u9023\u7e8c\u4ecb\u8cea\u6709\u9650\u55ae\u5143<\/p>\n

6.3.1\u5c0d\u6709\u9650\u55ae\u5143\u8b8a\u6578\u9032\u884c\u865b\u529f\u539f\u7406\u7dda\u6027\u5316<\/p>\n

6.3.2\u57fa\u65bc\u4f4d\u79fb\u7684\u9023\u7e8c\u4ecb\u8cea\u55ae\u5143\u7684\u4e00\u822c\u77e9\u9663\u65b9\u7a0b<\/p>\n

6.3.3\u6841\u67b6\u548c\u7e9c\u7dda\u55ae\u5143<\/p>\n

6.3.4\u4e8c\u7dad\u8ef8\u5c0d\u7a31\u55ae\u5143\uff1f \u5e73\u9762\u61c9\u8b8a\u55ae\u5143\u548c\u5e73\u9762\u61c9\u529b\u55ae\u5143<\/p>\n

6.3.5\u4e09\u7dad\u5be6\u9ad4\u55ae\u5143<\/p>\n

6.3.6\u7fd2\u984c<\/p>\n

6.4\u5927\u8b8a\u5f62\u7684\u4f4d\u79fb\/\u58d3\u529b\u683c\u5f0f<\/p>\n

6.4.1\u5b8c\u5168Lagrange\u683c\u5f0f<\/p>\n

6.4.2\u66f4\u65b0Lagrange\u683c\u5f0f<\/p>\n

6.4.3\u7fd2\u984c<\/p>\n

6.5\u7d50\u69cb\u55ae\u5143<\/p>\n

6.5.1\u6881\u548c\u8ef8\u5c0d\u7a31\u6bbc\u55ae\u5143<\/p>\n

6.5.2\u677f\u548c\u4e00\u822c\u6bbc\u55ae\u5143<\/p>\n

6.5.3\u7fd2\u984c<\/p>\n

6.6\u672c\u69cb\u95dc\u4fc2\u7684\u4f7f\u7528<\/p>\n

6.6.1\u5f48\u6027\u8cc7\u6599\u6027\u8cea\uff1a\u5ee3\u7fa9Hooke\u5b9a\u5f8b<\/p>\n

6.6.2\u985e\u6a61\u81a0\u8cc7\u6599\u7279\u6027<\/p>\n

6.6.3\u975e\u5f48\u6027\u8cc7\u6599\u7279\u6027\uff1a\u5f48\u5851\u6027\uff1f \u8815\u8b8a\u548c\u9ecf\u5851\u6027<\/p>\n

6.6.4\u5927\u61c9\u8b8a\u5f48\u5851\u6027<\/p>\n

6.6.5\u7fd2\u984c<\/p>\n

6.7\u63a5\u89f8\u72c0\u614b<\/p>\n

6.7.1\u9023\u7e8c\u4ecb\u8cea\u529b\u5b78\u65b9\u7a0b<\/p>\n

6.7.2\u63a5\u89f8\u554f\u984c\u7684\u4e00\u7a2e\u6c42\u89e3\u65b9\u6cd5\uff1a\u7d04\u675f\u51fd\u6578\u6cd5<\/p>\n

6.7.3\u7fd2\u984c<\/p>\n

6.8\u4e00\u4e9b\u5be6\u969b\u8003\u616e<\/p>\n

6.8.1\u975e\u7dda\u6027\u5206\u6790\u7684\u4e00\u822c\u65b9\u6cd5<\/p>\n

6.8.2\u574d\u584c\u548c\u5c48\u66f2\u5206\u6790<\/p>\n

6.8.3\u55ae\u5143\u626d\u66f2\u7684\u5f71\u97ff<\/p>\n

6.8.4\u6578\u503c\u7a4d\u5206\u7684\u5f71\u97ff<\/p>\n

6.8.5\u7fd2\u984c<\/p>\n

\u7b2c7\u7ae0\u50b3\u71b1\uff1f \u5834\u548c\u4e0d\u53ef\u58d3\u7e2e\u6d41\u9ad4\u6d41\u52d5\u554f\u984c\u7684\u6709\u9650\u5143\u5206\u6790<\/p>\n

7.1\u5f15\u8a00<\/p>\n

7.2\u50b3\u71b1\u5206\u6790<\/p>\n

7.2.1\u50b3\u71b1\u57fa\u672c\u65b9\u7a0b<\/p>\n

7.2.2\u589e\u91cf\u65b9\u7a0b<\/p>\n

7.2.3\u50b3\u71b1\u65b9\u7a0b\u7d44\u7684\u6709\u9650\u5143\u96e2\u6563\u5316<\/p>\n

7.2.4\u7fd2\u984c<\/p>\n

7.3\u5834\u554f\u984c\u5206\u6790<\/p>\n

7.3.1\u6ef2\u6d41<\/p>\n

7.3.2\u4e0d\u53ef\u58d3\u7e2e\u7121\u9ecf\u6027\u6d41\u9ad4<\/p>\n

7.3.3\u626d\u8f49<\/p>\n

7.3.4\u8072\u6d41\u9ad4<\/p>\n

7.3.5\u7fd2\u984c<\/p>\n

7.4\u9ecf\u6027\u4e0d\u53ef\u58d3\u7e2e\u6d41\u9ad4\u6d41\u52d5\u7684\u5206\u6790<\/p>\n

7.4.1\u9023\u7e8c\u4ecb\u8cea\u529b\u5b78\u65b9\u7a0b<\/p>\n

7.4.2\u6709\u9650\u5143\u63a7\u5236\u65b9\u7a0b<\/p>\n

7.4.3\u9ad8\u96f7\u8afe\u6578\u548c\u9ad8\u8c9d\u514b\u4f86\u6578\u7684\u6d41\u52d5<\/p>\n

7.4.4\u6d41\u56fa\u8026\u5408<\/p>\n

7.4.5\u7fd2\u984c<\/p>\n

\u7b2c8\u7ae0\u975c\u614b\u5206\u6790\u4e2d\u5e73\u8861\u65b9\u7a0b\u7d44\u7684\u6c42\u89e3<\/p>\n

8.1\u5f15\u8a00<\/p>\n

8.2\u57fa\u65bcGauss\u6d88\u53bb\u6cd5\u7684\u76f4\u63a5\u6c42\u89e3\u6cd5<\/p>\n

8.2.1 Gauss\u6d88\u53bb\u6cd5\u6982\u8ff0<\/p>\n

8.2.2 LDL T\u89e3\u6cd5<\/p>\n

8.2.3 Gauss\u6d88\u53bb\u6cd5\u7684\u96fb\u8166\u5be6\u73fe\uff1a\u6d3b\u52d5\u5217\u6c42\u89e3\u6cd5<\/p>\n

8.2.4 Cholesky\u5206\u89e3\uff1f \u975c\u614b\u51dd\u805a\u6cd5\uff1f \u5b50\u7d50\u69cb\u6cd5\u548c\u6ce2\u524d\u6cd5<\/p>\n

8.2.5\u6b63\u5b9a\uff1f \u534a\u6b63\u5b9a\u548cSturm\u5e8f\u5217\u6027\u8cea<\/p>\n

8.2.6\u89e3\u7684\u8aa4\u5dee<\/p>\n

8.2.7\u7fd2\u984c<\/p>\n

8.3\u53cd\u8986\u904b\u7b97\u6c42\u89e3\u65b9\u6cd5<\/p>\n

8.3.1 Gauss-Seidel\u6cd5<\/p>\n

8.3.2\u9810\u8655\u7406\u7684\u5171\u8edb\u68af\u5ea6\u6cd5<\/p>\n

8.3.3\u7fd2\u984c<\/p>\n

8.4\u975e\u7dda\u6027\u65b9\u7a0b\u7d44\u7684\u6c42\u89e3<\/p>\n

8.4.1 Newton-Raphson\u65b9\u6cd5<\/p>\n

8.4.2 BFGS\u6cd5<\/p>\n

8.4.3\u8f09\u8377–\u4f4d\u79fb–\u7d04\u675f\u65b9\u6cd5<\/p>\n

8.4.4\u6536\u6582\u6e96\u5247<\/p>\n

8.4.5\u7fd2\u984c<\/p>\n

\u7b2c9\u7ae0\u52d5\u529b\u5b78\u5206\u6790\u4e2d\u5e73\u8861\u65b9\u7a0b\u6c42\u89e3<\/p>\n

9.1\u5f15\u8a00<\/p>\n

9.2\u76f4\u63a5\u7a4d\u5206\u6cd5<\/p>\n

9.2.1\u4e2d\u5fc3\u5dee\u5206\u6cd5<\/p>\n

9.2.2 Houbolt\u6cd5<\/p>\n

9.2.3 Newmark\u6cd5<\/p>\n

9.2.4 Bathe\u6cd5<\/p>\n

9.2.5\u4e0d\u540c\u7684\u7a4d\u5206\u904b\u7b97\u5143\u7684\u7d44\u5408<\/p>\n

9.2.6\u7fd2\u984c<\/p>\n

9.3\u6a21\u614b\u758a\u52a0\u6cd5<\/p>\n

9.3.1\u57fa\u8f49\u8b8a\u70ba\u632f\u578b\u7684\u5ee3\u7fa9\u4f4d\u79fb<\/p>\n

9.3.2\u5ffd\u7565\u963b\u5c3c\u7684\u5206\u6790<\/p>\n

9.3.3\u6709\u963b\u5c3c\u5206\u6790<\/p>\n

9.3.4\u7fd2\u984c<\/p>\n

9.4\u76f4\u63a5\u7a4d\u5206\u6cd5\u7684\u5206\u6790<\/p>\n

9.4.1\u76f4\u63a5\u7a4d\u5206\u7684\u8fd1\u4f3c\u904b\u7b97\u5143\u548c\u8f09\u8377\u904b\u7b97\u5143<\/p>\n

9.4.2\u7a69\u5b9a\u6027\u5206\u6790<\/p>\n

9.4.3\u7cbe\u5ea6\u5206\u6790<\/p>\n

9.4.4\u4e00\u4e9b\u5be6\u969b\u7684\u8003\u616e<\/p>\n

9.4.5\u7fd2\u984c<\/p>\n

9.5\u5728\u52d5\u614b\u5206\u6790\u4e2d\u975e\u7dda\u6027\u65b9\u7a0b\u7684\u6c42\u89e3<\/p>\n

9.5.1\u986f\u5f0f\u7a4d\u5206<\/p>\n

9.5.2\u96b1\u5f0f\u7a4d\u5206<\/p>\n

9.5.3\u4f7f\u7528\u6a21\u614b\u758a\u52a0\u6c42\u89e3<\/p>\n

9.5.4\u7fd2\u984c<\/p>\n

9.6\u975e\u7d50\u69cb\u554f\u984c\u7684\u6c42\u89e3\uff1a\u50b3\u71b1\u548c\u6d41\u9ad4\u6d41\u52d5<\/p>\n

9.6.1\u6642\u9593\u7a4d\u5206\u7684 \u03b1 \u6cd5<\/p>\n

9.6.2\u7fd2\u984c<\/p>\n

\u7b2c10\u7ae0\u7279\u5fb5\u554f\u984c\u7684\u6c42\u89e3\u57fa\u790e<\/p>\n

10.1\u5f15\u8a00<\/p>\n

10.2\u6c42\u89e3\u7279\u5fb5\u7cfb\u7d71\u6240\u7528\u7684\u57fa\u672c\u6027\u8cea<\/p>\n

10.2.1\u7279\u5fb5\u5411\u91cf\u7684\u6027\u8cea<\/p>\n

10.2.2\u7279\u5fb5\u554f\u984cK \u03c6= \u03bb M \u03c6 \u53ca\u5176\u76f8\u4f34\u7d04\u675f\u554f\u984c\u7684\u7279\u5fb5\u591a\u9805\u5f0f<\/p>\n

10.2.3\u5e73\u79fb<\/p>\n

10.2.4\u96f6\u8cea\u91cf\u7684\u5f71\u97ff<\/p>\n

10.2.5\u5c07K \u03c6= \u03bb M \u03c6 \u7684\u5ee3\u7fa9\u7279\u5fb5\u554f\u984c\u8f49\u63db\u70ba\u6a19\u6e96\u5f62\u5f0f<\/p>\n

10.2.6\u7fd2\u984c<\/p>\n

10.3\u8fd1\u4f3c\u6c42\u89e3\u65b9\u6cd5<\/p>\n

10.3.1\u975c\u614b\u51dd\u805a<\/p>\n

10.3.2 Rayleigh-Ritz\u5206\u6790<\/p>\n

10.3.3\u90e8\u4ef6\u6a21\u614b\u7d9c\u5408\u6cd5<\/p>\n

10.3.4\u7fd2\u984c<\/p>\n

10.4\u6c42\u89e3\u8aa4\u5dee<\/p>\n

10.4.1\u8aa4\u5dee\u754c<\/p>\n

10.4.2\u7fd2\u984c<\/p>\n

\u7b2c11\u7ae0\u7279\u5fb5\u554f\u984c\u7684\u89e3\u6cd5<\/p>\n

11.1\u5f15\u8a00<\/p>\n

11.2\u5411\u91cf\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.2.1\u9006\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.2.2\u6b63\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.2.3\u5411\u91cf\u53cd\u8986\u904b\u7b97\u6cd5\u4e2d\u7684\u5e73\u79fb<\/p>\n

11.2.4 Rayleigh\u5546\u53cd\u8986\u904b\u7b97<\/p>\n

11.2.5\u77e9\u9663\u6536\u7e2e\u8207Gram-Schmidt\u6b63\u4ea4<\/p>\n

11.2.6\u95dc\u65bc\u5411\u91cf\u53cd\u8986\u904b\u7b97\u6cd5\u7684\u4e00\u4e9b\u5be6\u969b\u8003\u616e<\/p>\n

11.2.7\u7fd2\u984c<\/p>\n

11.3\u8b8a\u63db\u65b9\u6cd5<\/p>\n

11.3.1 Jacobi\u6cd5<\/p>\n

11.3.2\u5ee3\u7fa9Jacobi\u6cd5<\/p>\n

11.3.3 Householder-QR-\u9006\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.3.4\u7fd2\u984c<\/p>\n

11.4\u591a\u9805\u5f0f\u53cd\u8986\u904b\u7b97\u548cSturm\u5e8f\u5217\u65b9\u6cd5<\/p>\n

11.4.1\u986f\u5f0f\u591a\u9805\u5f0f\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.4.2\u96b1\u5f0f\u591a\u9805\u5f0f\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.4.3\u57fa\u65bcSturm\u5e8f\u5217\u6027\u8cea\u7684\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.4.4\u7fd2\u984c<\/p>\n

11.5 Lanczos\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.5.1 Lanczos\u8b8a\u63db<\/p>\n

11.5.2 Lanczos\u8b8a\u63db\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.5.3\u7fd2\u984c<\/p>\n

11.6\u5b50\u7a7a\u9593\u53cd\u8986\u904b\u7b97\u6cd5<\/p>\n

11.6.1\u57fa\u672c\u8003\u616e\u56e0\u7d20<\/p>\n

11.6.2\u5b50\u7a7a\u9593\u53cd\u8986\u904b\u7b97<\/p>\n

11.6.3\u521d\u59cb\u53cd\u8986\u904b\u7b97\u5411\u91cf<\/p>\n

11.6.4\u6536\u6582\u6027<\/p>\n

11.6.5\u5b50\u7a7a\u9593\u53cd\u8986\u904b\u7b97\u6cd5\u7684\u5be6\u73fe<\/p>\n

11.6.6\u7fd2\u984c<\/p>\n

\u7b2c12\u7ae0\u6709\u9650\u5143\u6cd5\u7684\u5be6\u73fe<\/p>\n

12.1\u5f15\u8a00<\/p>\n

12.2\u8a08\u7b97\u7cfb\u7d71\u77e9\u9663\u7684\u96fb\u8166\u7a0b\u5f0f\u7d50\u69cb<\/p>\n

12.2.1\u7bc0\u9ede\u548c\u55ae\u5143\u8cc7\u8a0a\u7684\u8b80\u5165<\/p>\n

12.2.2\u55ae\u5143\u525b\u5ea6\uff1f \u55ae\u5143\u8cea\u91cf\u548c\u55ae\u5143\u7b49\u6548\u7bc0\u9ede\u529b\u7684\u8a08\u7b97<\/p>\n

12.2.3\u77e9\u9663\u7d44\u88dd<\/p>\n

12.3\u55ae\u5143\u61c9\u529b\u7684\u8a08\u7b97<\/p>\n

12.4\u793a\u4f8b\u7a0b\u5f0fSTAP<\/p>\n

12.4.1\u96fb\u8166\u7a0b\u5f0fSTAP\u7684\u8cc7\u6599\u767b\u9304<\/p>\n

12.4.2 STAP\u539f\u59cb\u7a0b\u5f0f\u78bc\u9336<\/p>\n

12.5\u7fd2\u984c\u8207\u9805\u76ee<\/p>\n

12.5.1\u7fd2\u984c<\/p>\n

12.5.2\u9805\u76ee<\/p>\n

\u53c3\u8003\u6587\u737b<\/p>\n


<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

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