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- 1 (2015-02-02 (·î) 12:45:53)
- 2 (2015-02-02 (·î) 12:56:21)
³Æ¼ïÎãÂê †
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ÈóÀþ·ÁÊýÄø¼°¤Îµá²ò †
- f(x) = x^2 - 2 ¤Î¶á»÷º¬¤òµá¤á¤ë¥×¥í¥°¥é¥à¤ò½ñ¤¤¤ÆÆ°¤«¤·¤Æ¤ß¤è¤¦¡¥
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- Newton Ë¡¤Ç¡Ä
- f(x) = e^{-x} - x ¤Î¶á»÷º¬¤ò¡¢Æ±Íͤ˵á¤á¤Æ¤ß¤è¤¦¡¥
- f(x) = 3x^2 + 1 + (log (Pi - x))^2/(Pi^4) ¤Ë¤Ä¤¤¤Æ¶á»÷º¬¤òµá¤á¤é¤ì¤ë¤À¤í¤¦¤«¡¢¥Á¥ã¥ì¥ó¥¸¤·¤Æ¤ß¤è¤¦¡¥ ¤¿¤Ö¤ó¡¢¤Á¤ç¤Ã¤ÈÆñ¤·¤¤¡¥
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2x^2 + y^2 - 1 = 0,
x - (¢å3)y = 0,
¤Î¶á»÷²ò¤òµá¤á¤Æ¤ß¤è¤¦¡¥ ¤¿¤Ö¤ó Newton Ë¡¤¬¤¤¤¤¤À¤í¤¦¡¥ - f(x) = e^{-x} - x ¤Î¶á»÷º¬¤ò¡¢(´Ê°×ÈÇ)¥Û¥â¥È¥Ô¡¼Ë¡¤Çµá¤á¤Æ¤ß¤è¤¦¡¥
- f(x) = x^3 - 3x + 3 ¤Î¶á»÷º¬¤ò¡¢¥Û¥â¥È¥Ô¡¼Ë¡¤Çµá¤á¤Æ¤ß¤è¤¦¡¥
ϢΩ°ì¼¡ÊýÄø¼°¤Îµá²ò †
- LU ʬ²ò¤ò»È¤Ã¤ÆϢΩ°ì¼¡ÊýÄø¼°¤Îµá²ò¤ò¹Ô¤¦¥×¥í¥°¥é¥à¤ò½ñ¤¤¤Æ¤ß¤è¤¦¡¥
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¾ïÈùʬÊýÄø¼°¤Îµá²ò †
- du/dt = u(1-u) ¤È¤¤¤¦Ã±½ã¤ÊÊýÄø¼°¤Î¶á»÷²ò¤òµá¤á¤ë¥×¥í¥°¥é¥à¤ò½ñ¤¤¤ÆÆ°¤«¤·¤Æ¤ß¤è¤¦¡¥
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- Euler Ë¡,
- Runge-Kutta Ë¡,
- Àþ·Á¿Ãʳ¬Ë¡, ¤Ê¤É¤¬¤¢¤ë¤¬¡¢¤Þ¤º¤Ï Runge-Kutta Ë¡¤Ç¥×¥í¥°¥é¥à¤¬ÁȤá¤ë¤È¤¤¤¤¤À¤í¤¦¡¥
- ϢΩ¾ïÈùʬÊýÄø¼°
du/dt = (2-v)u,
dv/dt = (2u - 3)v,
¤Î¶á»÷º¬¤òµá¤á¤ë¥×¥í¥°¥é¥à¤ò½ñ¤¤¤Æ¡¢Æ°¤«¤·¤Æ¤ß¤è¤¦¡¥ ¤³¤ÎÌäÂê¤Î²ò¤Ï»þ´ÖȯŸ¤¹¤ë¤È (u,v) Ê¿Ì̤ò°ì¼þ¤·¤ÆƱ¤¸ÅÀ¤ØÌá¤ëÀ¼Á¤¬¤¢¤ë¤¬¡¢¤½¤ÎÀ¼Á¤¬¡Ö¤É¤ì¤¯¤é¤¤ºÆ¸½¤µ¤ì¤ë¤«¡×¥°¥é¥Õ¤òÉÁ¤¤¤Æ³Î¤«¤á¤Æ¤ß¤è¤¦¡¥