{"id":153,"date":"2012-12-16T09:49:21","date_gmt":"2012-12-16T00:49:21","guid":{"rendered":"http:\/\/wpserver.local\/mc\/?page_id=153"},"modified":"2015-04-22T15:19:23","modified_gmt":"2015-04-22T06:19:23","slug":"spring-meeting2008","status":"publish","type":"page","link":"http:\/\/mepa.jsiam.org\/?page_id=153","title":{"rendered":"\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2008\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a"},"content":{"rendered":"<h4 align=\"center\"><strong>\u65e5\u672c\u5fdc\u7528\u6570\u7406\u5b66\u4f1a 2008\u5e74\u7814\u7a76\u90e8\u4f1a\u9023\u5408\u767a\u8868\u4f1a<\/strong><\/h4>\n<p>&nbsp;<\/p>\n<ul>\n<li>\u65e5\u6642\uff1a2008\u5e743\u67088\u65e5(\u571f)\uff5e9\u65e5(\u65e5)<\/li>\n<li>\u5834\u6240\uff1a\u9996\u90fd\u5927\u5b66\u6771\u4eac \u5357\u5927\u6ca2\u30ad\u30e3\u30f3\u30d1\u30b9 12\u53f7\u9928\uff08\u3012192-0397 \u6771\u4eac\u90fd\u516b\u738b\u5b50\u5e02\u5357\u5927\u6ca21-1\uff09<\/li>\n<li>\u9023\u5408\u767a\u8868\u4f1a\u5168\u4f53\u306eWeb\u30da\u30fc\u30b8\uff1a<a href=\"http:\/\/tnt.math.metro-u.ac.jp\/jsiam-jm2008\/\">http:\/\/tnt.math.metro-u.ac.jp\/jsiam-jm2008\/<\/a><br \/>\n<hr \/>\n<\/li>\n<\/ul>\n<h5><strong>\u30d7\u30ed\u30b0\u30e9\u30e0\uff08\u7814\u7a76\u90e8\u4f1a\u95a2\u4fc2\u90e8\u5206\uff09<\/strong><\/h5>\n<ul>\n<li>\u8b1b\u6f141\uff089:00\uff5e9:15\uff09<br \/>\nA<sup>T<\/sup>\u306b\u5bfe\u3059\u308bRichardson\u53cd\u5fa9\u3092\u5229\u7528\u3057\u305fKrylov\u90e8\u5206\u7a7a\u9593\u6cd5\u306e\u8a2d\u8a08<br \/>\n\u25cb\u9b3c\u675f\u5d07\u535a (\u4e5d\u5dde\u5927\u5b66 B4)\uff0c\u85e4\u91ce\u6e05\u6b21 (\u4e5d\u5dde\u5927\u5b66)\uff0c\u963f\u90e8\u90a6\u7f8e (\u5c90\u961c\u8056\u5fb3\u5b66\u5712\u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u8ee2\u7f6e\u884c\u5217A<sup>T<\/sup>\u306b\u5bfe\u3059\u308bRichardson\u53cd\u5fa9\u3092\u5229\u7528\u3057\u3066\u8a2d\u8a08\u3057\u305f \u65b0\u3057\u3044Krylov\u90e8\u5206\u7a7a\u9593\u6cd5\u306e\u6982\u8981\u304a\u3088\u3073\u6027\u80fd\u8a55\u4fa1\u7d50\u679c\u3092\u5831\u544a\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f142\uff089:15\uff5e9:30\uff09<br \/>\n\u8907\u6570\u306e\u524d\u51e6\u7406\u5c0e\u51fa\u304c\u53ef\u80fd\u306aGPBiCG_AR\u6cd5\u306e\u53ce\u675f\u6027\u8a55\u4fa1<br \/>\n\u25cbMoethuthu (\u4e5d\u5dde\u5927\u5b66 D2)\uff0c\u85e4\u91ce\u6e05\u6b21 (\u4e5d\u5dde\u5927\u5b66)\uff0c\u5c3e\u4e0a\u52c7\u4ecb (\u4e5d\u5dde\u5927\u5b66 M1)<\/p>\n<blockquote><p>\u6982\u8981\uff1a GPBiCG\u6cd5\u306e\u6301\u3064\u53ce\u675f\u4e0d\u5b89\u5b9a\u3092\u6539\u5584\u3057\u305fGPBiCG_AR\u6cd5\u3092 \u3059\u3067\u306b\u6211\u3005\u306f\u63d0\u6848\u3057\u305f\uff0e\u4eca\u56de\u306e\u767a\u8868\u3067\u306f\uff0cGPBiCG\u6cd5\u306e\u524d\u51e6\u7406\u304c \u4e21\u5074\u524d\u51e6\u7406\u3060\u3051\u304c\u5c0e\u51fa\u53ef\u80fd\u3067\u3042\u3063\u305f\u306e\u306b\u5bfe\u3057\u3066\uff0c\u63d0\u6848\u3057\u305f GPBiCG_AR\u6cd5\u304c\uff0c\u53f3\uff0c\u4e21\u5074\uff0c\u5de6\u524d\u51e6\u7406\u304c\u53ef\u80fd\u306a\u3053\u3068\u3092\u660e\u3089\u304b\u306b \u3059\u308b\uff0e\u6570\u5024\u5b9f\u9a13\u3067\u771f\u306e\u76f8\u5bfe\u6b8b\u5dee\u3092\u6bd4\u8f03\u3057\uff0c\u4e21\u53cd\u5fa9\u6cd5\u306e\u6bd4\u8f03\u3092\u884c\u3046\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f143\uff089:30\uff5e9:45\uff09<br \/>\n\u884c\u5217\u5f0f\u306b\u7740\u76ee\u3057\u305f\u56fa\u6709\u5024\u5bc6\u96c6\u5316\u524d\u51e6\u7406\u306b\u3064\u3044\u3066<br \/>\n\u25cb\u67d3\u539f\u4e00\u4ec1 (\u4e5d\u5dde\u5927\u5b66 M2)\uff0c\u85e4\u91ce\u6e05\u6b21 (\u4e5d\u5dde\u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u5b9f\u5bfe\u79f0\u6b63\u5b9a\u5024\u884c\u5217\u306b\u5bfe\u3057\u3066\uff0c\u56fa\u6709\u5024\u306e\u76f8\u52a0\u30fb\u76f8\u4e57\u5e73\u5747\u3092\u5229\u7528\u3057\uff0c \u884c\u5217\u5f0f\u30921\u306b\u8fd1\u3065\u3051\u308b\u3053\u3068\u306b\u3088\u308a\uff0c\u56fa\u6709\u5024\u3092\u5bc6\u96c6\u3055\u305b\u308b\u53cd\u5fa9\u6cd5\u306e \u524d\u51e6\u7406\u6280\u6cd5\u3092\u63d0\u6848\u3059\u308b\uff0e\u6570\u5024\u5b9f\u9a13\u306b\u304a\u3044\u3066\uff0c\u305d\u306e\u6280\u6cd5\u306b\u3088\u308b\u884c\u5217\u306e \u56fa\u6709\u5024\u5206\u5e03\u306e\u5909\u5316\u306e\u69d8\u5b50\u3092\u8abf\u3079\uff0c\u305d\u306e\u6709\u7528\u6027\u3092\u5b9f\u8a3c\u3059\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f144\uff089:45\uff5e10:00\uff09<br \/>\nCutoff\u30922\u91cd\u306b\u7528\u3044\u305f\u524d\u51e6\u7406\u306e\u6027\u80fd\u8a55\u4fa1<br \/>\n\u25cb\u5c71\u5d0e\u80b2\u6717(\u7b51\u6ce2\u5927\u5b66 B4)\uff0c\u5ca1\u7530\u771f\u5e78(\u7b51\u6ce2\u5927\u5b66 D2)\uff0c\u6afb\u4e95\u9244\u4e5f(\u7b51\u6ce2\u5927\u5b66)\uff0c\u5bfa\u897f\u6176\u592a(Cray, Inc.)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u30ca\u30ce\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3067\u73fe\u308c\u308b\u884c\u5217\u306b\u9069\u3057\u305f\u65b9\u6cd5\u3068\u3057\u3066\uff0c\u8fd1\u4f3c\u4fc2\u6570\u884c\u5217\u306b \u5bfe\u3059\u308b\u76f4\u63a5\u89e3\u6cd5\u3092\u7528\u3044\u305f\u524d\u51e6\u7406\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u308b\uff0e\u3053\u306e\u524d\u51e6\u7406\u306b\u3088\u3063\u3066 \u4f5c\u6210\u3055\u308c\u305f\u524d\u51e6\u7406\u884c\u5217\u3092\u3055\u3089\u306bCutoff\u3057\u305f\u3068\u304d\u306e\u5f71\u97ff\u3068\u6709\u52b9\u6027\u3092\u691c\u8a3c\u3057\u305f\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f145\uff0810:00\uff5e10:15\uff09<br \/>\n\u9ad8\u901f\u306a Java 4\u500d\u7cbe\u5ea6(DD)\u6f14\u7b97\u306e\u6709\u52b9\u6027\u306e\u8a55\u4fa1<br \/>\n\u25cb\u4eca\u4e95 \u5927\u8cb4 (\u6771\u4eac\u7406\u79d1\u5927\u5b66 M2)\uff0c\u77f3\u6e21 \u6075\u7f8e\u5b50 (\u6771\u4eac\u7406\u79d1\u5927\u5b66)\uff0c\u9577\u8c37\u5ddd \u79c0\u5f66 (\u7b51\u6ce2\u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a Java\u3092\u7528\u3044\u3066\u500d\u7cbe\u5ea6\u6f14\u7b97\u306b\u57fa\u3065\u304f\uff14\u500d\u7cbe\u5ea6(DD)\u6f14\u7b97\u3092\u5b9f\u88c5\u3057\uff0c \u53e4\u5178\u7684\u30b0\u30e9\u30e0\u30b7\u30e5\u30df\u30c3\u30c8(CGS)\uff0c\u4fee\u6b63\u30b0\u30e9\u30e0\u30b7\u30e5\u30df\u30c3\u30c8(MGS)\uff0c\u30cf\u30a6\u30b9\u30db\u30eb\u30c0\u30fc(HQR)\u306b\u3088\u308bQR\u5206\u89e3\u3092\u884c\u3063\u305f\uff0e \u305d\u306e\u7d50\u679c\uff0cDD\u3068MGS\u306e\u4e21\u65b9\u3092\u7528\u3044\u3066\u306f\u3058\u3081\u3066\u5341\u5206\u306a\u7cbe\u5ea6\u304c\u5f97\u3089\u308c\u308b\u554f\u984c\u304c\u3042\u308a\uff0cDD\u306e\u5fc5\u8981\u6027\u304c\u660e\u3089\u304b\u306b\u306a\u3063\u305f\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u62db\u5f85\u8b1b\u6f14\uff0810:15\uff5e10:45\uff09<br \/>\nOn Preconditioned Iterative Methods for Burgers Equations<br \/>\nZhong-Zhi Bai (Chinese Academy of Sciences)<\/p>\n<blockquote><p>Abstract: We study the Newton method and a fixed-point method for solving thesystem of nonlinear equations arising from the Sinc-Galerkin discretization ofthe Burgers equations. In each step of the Newton method orthe fixed-point method, a structured sub-system of linear equations is obtained and needs to be solved numerically. In this paper, preconditioning techniques are applied to solve such linear sub-systems. Tight bounds for eigenvalues of the preconditionedmatrices are derived under certain assumptions. Numerical examples are given to illustrate the effectiveness of the proposed methods.We also find that a combination of the Newton\/fixed-point iteration withthe preconditioned GMRES method is quite efficient for theSinc-Galerkin discretization of the Burgers equations.<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f146\uff0810:45\uff5e11:00\uff09<br \/>\n\u96fb\u5b50\u72b6\u614b\u8a08\u7b97\u306b\u65bc\u3051\u308b\u9069\u5fdc\u7684\u524d\u51e6\u7406<br \/>\n\u6fa4\u6751 \u660e\u8ce2 (\u4f4f\u53cb\u96fb\u6c17\u5de5\u696d)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u73fe\u5b9f\u7684\u306a\u96fb\u5b50\u72b6\u614b\u8a08\u7b97\u306f\u96fb\u5b50\u9593\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u306b\u95a2\u3059\u308b\u975e\u7dda\u578b\u554f\u984c\u3067\u3082\u3042\u308b\u3002\u3053\u306e \u90e8\u5206\u306b\u5bfe\u3057\u3066\u3082\u65e2\u306b\u524d\u51e6\u7406\u65b9\u6cd5\u306f\u3042\u308b\u304c\u3001\u7d4c\u9a13\u7684\u30d1\u30e9\u30e1\u30bf\u304c\u5fc5\u8981\u3067\u3042\u3063\u305f\u3002\u4eca\u56de \u81ea\u52d5\u6c7a\u5b9a\u3092\u884c\u3046\u9069\u5fdc\u7684\u524d\u51e6\u7406\u65b9\u6cd5\u3092\u5de5\u592b\u3057\u3001\u305d\u306e\u52b9\u679c\u3092\u78ba\u8a8d\u3057\u305f\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f147\uff0811:00\uff5e11:15\uff09<br \/>\n\u975e\u5bfe\u79f0\u884c\u5217\u56fa\u6709\u5024\u554f\u984c\u306e\u30d5\u30a3\u30eb\u30bf\u5bfe\u89d2\u5316\u6cd5\u306b\u3064\u3044\u3066<br \/>\n\u6751\u4e0a \u5f18 (\u9996\u90fd\u5927\u5b66\u6771\u4eac)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u975e\u5bfe\u79f0\u884c\u5217\u306e\u56fa\u6709\u5024\u554f\u984c\u3078\u306e\u3001\u30ec\u30be\u30eb\u30d9\u30f3\u30c8\u306e\u7dda\u5f62\u7d50\u5408\u578b\u30d5\u30a3\u30eb\u30bf\u306b\u3088\u308b \u30d5\u30a3\u30eb\u30bf\u5bfe\u89d2\u5316\u6cd5\u306e\u7279\u6027\u89e3\u6790\u3068\u9069\u7528\u4f8b\u3092\u793a\u3059\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f148\uff0811:15\uff5e11:30\uff09<br \/>\n\u56fa\u6709\u5024\u5206\u89e3\u3092\u76ee\u7684\u3068\u3057\u305f\u30c4\u30a4\u30b9\u30c8\u5206\u89e3\u6cd5\u306b\u3088\u308b\u5206\u5272\u7d71\u6cbb\u6cd5\u306e\u6539\u5584<br \/>\n\u576a\u4e95 \u6d0b\u660e (\u4eac\u90fd\u5927\u5b66 M2)\uff0c\u25cb\u8a89\u7530 \u592a\u6717 (\u4eac\u90fd\u5927\u5b66 D2)\uff0c\u5ca9\u5d0e \u96c5\u53f2 (\u4eac\u90fd\u5e9c\u7acb\u5927\u5b66)\uff0c\u6728\u6751 \u6b23\u53f8 (\u65b0\u6f5f\u5927\u5b66)\uff0c\u9ad8\u7530 \u96c5\u7f8e (\u5948\u826f\u5973\u5b50\u5927\u5b66)\uff0c\u4e2d\u6751 \u4f73\u6b63 (\u4eac\u90fd\u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u5bfe\u79f03\u91cd\u5bfe\u89d2\u884c\u5217\u306e\u56fa\u6709\u5024\u5206\u89e3\u3092\u8a08\u7b97\u3059\u308b\u5206\u5272\u7d71\u6cbb\u6cd5\u306fO(n<sup>2<\/sup>)\u306e \u8a08\u7b97\u9818\u57df\u3068\uff0c\u884c\u5217\u306e\u4f9d\u5b58\u3057\u3066O(n<sup>2<\/sup>)\uff5eO(n<sup>3<\/sup>)\u306e\u6f14\u7b97\u91cf\u3092\u5fc5\u8981\u3068 \u3059\u308b\uff0e\u672c\u7814\u7a76\u3067\u306f\uff0c\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u8a08\u7b97\u306b\u30c4\u30a4\u30b9\u30c8\u5206\u89e3\u3092\u7528\u3044\u308b \u3053\u3068\u3067\uff0c\u5206\u5272\u7d71\u6cbb\u6cd5\u306e\u8a08\u7b97\u9818\u57df\u3092O(n)\u306b\u524a\u6e1b\u3057\uff0c\u540c\u6642\u306b\uff0c\u884c\u5217\u306b \u3088\u3089\u305aO(n<sup>2<\/sup>)\u3067\u9ad8\u901f\u306b\u56fa\u6709\u5024\u5206\u89e3\u3092\u5b9f\u884c\u3059\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u63d0\u6848 \u3059\u308b\uff0e\u3055\u3089\u306b\uff0c\u3053\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4e26\u5217\u5316\u306b\u3064\u3044\u3066\u3082\u8ff0\u3079\u308b\uff0e<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f149\uff0811:30\uff5e11:45\uff09<br \/>\n\u5bfe\u79f0\u4e09\u91cd\u5bfe\u89d2\u884c\u5217\u306e\u56fa\u6709\u5024\u8a08\u7b97\u306e\u305f\u3081\u306e\u5b8c\u5168\u30d1\u30a4\u30d7\u30e9\u30a4\u30f3\u5316\u30b7\u30d5\u30c8QR\u6cd5\u306e\u53ce\u675f\u6027<br \/>\n\u5bae\u7530 \u8003\u53f2 (\u540d\u53e4\u5c4b\u5927\u5b66 D1)\uff0c\u5ca9\u5d0e \u96c5\u53f2 (\u4eac\u90fd\u5e9c\u7acb\u5927\u5b66)\uff0c\u25cb\u5c71\u672c \u6709\u4f5c (\u540d\u53e4\u5c4b\u5927\u5b66)\uff0c\u5f35 \u7d39\u826f (\u540d\u53e4\u5c4b\u5927\u5b66)<\/p>\n<blockquote><p>\u6982\u8981\uff1a \u6211\u3005\u306f\u5bfe\u79f0\u4e09\u91cd\u5bfe\u89d2\u884c\u5217\u306e\u305f\u3081\u306e\u4e26\u5217\u6027\u306e\u9ad8\u3044\u56fa\u6709\u5024\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0 \u3068\u3057\u3066\uff0c\u5b8c\u5168\u30d1\u30a4\u30d7\u30e9\u30a4\u30f3\u5316\u30b7\u30d5\u30c8QR\u6cd5\u3092\u63d0\u6848\u3057\u3066\u3044\u308b\u3002\u672c\u767a\u8868\u3067\u306f\uff0c \u30b7\u30d5\u30c8\u304c2\u500b\u306e\u5834\u5408\u306b\u5bfe\u3057\uff0c\u672c\u624b\u6cd5\u306e\u6f38\u8fd1\u7684\u53ce\u675f\u6027\u3092\u89e3\u6790\u3059\u308b\u3002<\/p><\/blockquote>\n<\/li>\n<li>\u8b1b\u6f1410\uff0811:45\uff5e12:00\uff09<br 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