鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�(gu贸)400澶氭墍楂樼瓑闄㈡牎鎷涙敹纰╁+銆佸崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞�锛涘潎鎻愪緵鏀惰不(f猫i)涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛�(di菐n)鎿娾€�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛�(di菐n)鎿娾€�鑰冨崥瑭﹀嵎搴�(k霉)鈥� 涓嬭級
绂忓窞澶у(xu茅) 2017 骞村崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│灏堟キ(y猫)瑾茶绋嬶紙鑰冭│锛夊ぇ缍� 涓€銆佽€冭│绉戠洰鍚嶇ū: 鏁�(sh霉)鍊煎垎鏋愯€冭│澶х侗 浜屻€佹嫑鐢熷(xu茅)闄㈠拰灏堟キ(y猫)锛� 姗�(j墨)姊板埗閫犲強鑷嫊(d貌ng)鍖�,姗�(j墨)姊拌ō(sh猫)瑷�(j矛)鍙婄悊璜�銆佽粖杓涘伐绋�銆佹(j墨)姊伴浕瀛愬伐绋� 鍩烘湰鍏�(n猫i)瀹�: 涓€銆佺窉璜� 鐭ヨ瓨(sh铆)榛�(di菐n) 1銆佹暩(sh霉)鍊肩畻娉曠殑鐗归粸(di菐n) 2銆佹暩(sh霉)鍊艰▓(j矛)绠楃殑瑾ゅ樊銆佹湁鏁堟暩(sh霉)瀛� 3銆佸垎鏋愰亱(y霉n)绠楄宸殑鑻ュ共鍘熷墖 4銆佸晱(w猫n)椤岀殑鎬ф厠(t脿i)鑸囩畻娉曠殑绌�(w臎n)瀹氭€� 閲嶉粸(di菐n)----瑾ゅ樊銆侀伩鍏嶈宸殑鑻ュ共鍘熷墖 闆i粸(di菐n)----绠楁硶鐨勬暩(sh霉)鍊肩┅(w臎n)瀹氭€� 浜�銆佹彃鍊兼硶 鐭ヨ瓨(sh铆)榛�(di菐n) 1銆丩anrange 鎻掑€� 2銆佸樊鍒嗗樊鍟嗗強鍏舵€ц唱(zh矛) 3銆丯ewton 鎻掑€� 4銆丠ermite 鎻掑€� 5銆佷笁娆℃ǎ姊濇彃鍊� 閲嶉粸(di菐n)----Lanrange 鎻掑€�銆丯ewton 鎻掑€� 闆i粸(di菐n)----妯f鎻掑€煎嚱鏁�(sh霉)鐨勫缓绔� 涓�銆佸嚱鏁�(sh霉)閫艰繎鑸囨洸绶氭摤鍚� 鐭ヨ瓨(sh铆)榛�(di菐n) 1銆佹浜ゅ闋�(xi脿ng)寮� 2銆佹洸绶氭摤鍚堢殑鏈€灏忎簩涔樻硶 閲嶉粸(di菐n)----鏇茬窔鎿悎鐨勬渶灏忎簩涔樻硶 闆i粸(di菐n) 鍥�銆佹暩(sh霉)鍊肩⿳鍒嗚垏鏁�(sh霉)鍊煎井鍒� 鐭ヨ瓨(sh铆)榛�(di菐n) 1銆丯ewton-Cotes 鍏紡 2銆佸京(f霉)鍖栨眰绌嶅叕寮� 3銆丷omberg 姹傜⿳鍏紡 4銆丟auss 鍨嬫眰绌嶅叕寮� 5銆佹暩(sh霉)鍊煎井鍒� 閲嶉粸(di菐n)---- Newton-Cotes 鍏紡銆佷唬鏁�(sh霉)绮惧害姒傚康銆丷omberg 绠楁硶 闆i粸(di菐n)---- Gauss 鍨嬫眰绌嶅叕寮� 浜�銆佽В绶氭€ф柟绋嬬祫鐨勭洿鎺ユ柟娉� 鐭ヨ瓨(sh铆)榛�(di菐n) 1銆丟auss 娑堝厓娉曘€侀伕涓诲厓鐨� Gauss 娑堝厓娉� 2銆佺煩闄g殑 LU 涓夎鍒嗚В灏�(du矛)绋辨瀹氱煩闄g殑 Cholesky 鍒嗚В 3銆佸悜閲忓拰鐭╅櫍鐨勮寖鏁�(sh霉) 閲嶉粸(di菐n)----鏂圭▼绲勭殑鎬ф厠(t脿i)鍜屾浠舵暩(sh霉)銆佺煩闄g殑涓夎鍒嗚В 闆i粸(di菐n)----灏�(du矛)绋辨瀹氱煩闄g殑 Cholesky 鍒嗚В 鍏�銆佽В绶氭€ф柟绋嬬祫鐨勮凯浠f硶 鐭ヨ瓨(sh铆)榛�(di菐n) 1銆丣ocabi 娉�銆丼eidel 娉曘€丼OR 娉� 2銆佽凯浠f硶鐨勬敹鏂傛€у垽鍒� 閲嶉粸(di菐n)----1銆佷笁绋熀鏈凯浠f硶鐨勬牸寮� 2銆佽凯浠f硶鐨勬敹鏂傛€х殑鍏呭垎姊濅欢 闆i粸(di菐n)----杩唬娉曠殑鏀舵杺鎬х殑鍏呰姊濅欢 涓�銆侀潪绶氭€ф柟绋嬫眰鏍� 鐭ヨ瓨(sh铆)榛�(di菐n) 1銆佷簩鍒嗘硶 2銆佽凯浠f硶鍩烘湰鎬濇兂銆佹敹鏂傛€ф浠� 3銆丯ewton 娉� 4銆佸鸡鎴硶銆佹媼鐗╃窔娉� 閲嶉粸(di菐n)----杩唬娉曟敹鏂傛€ф浠�銆丯ewton 杩唬娉� 闆i粸(di菐n)----鎷嬬墿绶氭硶 鍏�銆佸父寰垎鏂圭▼鏁�(sh霉)鍊艰В娉� 鐭ヨ瓨(sh铆)榛�(di菐n) 1銆丒uler 鏂规硶锛屾敼閫�(j矛n)鐨� Euler 鍏紡 2銆丷unge-Kutta 娉� 3銆佸柈姝ユ硶鐨勬敹鏂傛€ц垏绌�(w臎n)瀹氭€� 閲嶉粸(di菐n)----鏀归€�(j矛n)鐨� Euler 鍏紡銆佸洓闅庣殑 Runge-Kutta 娉� 闆i粸(di菐n)----鍠娉曠殑鏀舵杺鎬ц垏绌�(w臎n)瀹氭€� 鑰冭│椤屽瀷锛氬~绌洪銆佽瓑鏄庨銆佽▓(j矛)绠楅銆� 鍙冭€冩浉鐩�(闋堣垏灏堟キ(y猫)鐩寗涓€鑷�)(鍖呮嫭浣滆€�銆佹浉鐩€佸嚭鐗堢ぞ銆佸嚭鐗堟檪(sh铆)闁�銆佺増娆�)锛� 銆婃暩(sh霉)鍊煎垎鏋愩€嬶紙绗洓鐗堬級锛屾竻鑿ぇ瀛�(xu茅)鍑虹増绀�锛屾潕鎱舵彋(y谩ng)绛夌法钁� 绶ㄥ埗浜猴紙鎵嬪伐绨藉悕锛夛細鍗氬+榛�(di菐n)璨�(f霉)璨�(z茅)浜猴紙鎵嬪伐绨藉悕锛夛細闄㈤暦(zh菐ng)瀵╂牳锛堟墜宸ョ敖鍚嶏級锛� 骞存湀鏃�
鍏嶈铂(z茅)鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)锛屽鏈変镜鐘�锛岃珛(q菒ng)鑱�(li谩n)绯绘垜鍊戠珛鍗冲埅闄わ紝鍙︼細鏈枃鍍呬唬琛ㄤ綔鑰呭€�(g猫)浜鸿榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇(w煤)闂�(gu膩n)銆傚叾鍘熷壍(chu脿ng)鎬т互鍙婃枃涓櫝杩版枃瀛楀拰鍏�(n猫i)瀹规湭缍�(j墨ng)鏈珯璀夊(sh铆)锛屽皪(du矛)鏈枃浠ュ強鍏朵腑鍏ㄩ儴鎴栬€呴儴鍒嗗収(n猫i)瀹�銆佹枃瀛楃殑鐪熷(sh铆)鎬с€佸畬鏁存€�銆佸強鏅�(sh铆)鎬ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛(q菒ng)璁€鑰呭儏浣滃弮鑰冿紝骞惰珛(q菒ng)鑷鏍稿(sh铆)鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�
|