14hermite插值-預(yù)覽頁
【正文】 ++++1 1 11 1 1( ) ( ) ( ) ( )3 i i i i i ii i i i i ih f x f x h f x f xh h h h h h + +?? ?+??++??i? ici?1,1 ? ni ?113 ( [ , ] [ , ] )i i i i i if x x f x x??+?+21 數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 01 1 1 12 2 2 21 1 1 1222n n n nnmmcmcmcm?????? ????? ? ? ???? ? ? ???? ? ? ????? ? ? ???? ? ? ???? ? ? ???????需附加條件，方可求解 有 iiiiii cmmm ?++ + 11 2 ?? 1,1 ? ni ?22 數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ?邊界條件 （三種） (1) 固支邊界條件 nn mxSmxS ?? )(39。,)(39。,)(39。11111+++++?????????iiiiiiiiiiiiiiiiixxxMxSMxSxfxSxfxSMxS 則記 iii xxh ? + 11139。 1 iiii xSxS ?有 iiiiii dMMM ?++ + 11 2 ?? 1,1 ? ni ?111111( ) ( ) ( ) ( )6 6 [ , , ]i i i ii i ii i i if x f x f x f x f x x xh h h h++?? ???+ ??25 數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ? 有 n1個方程 n+1個未知數(shù) , 故需 2個附加（邊界）條件 26 數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ],[ 10 xxf],[ 1 nn xxf 27 數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS (3) 周期邊界條件 （解 n個方程 n個未知數(shù)） nnnnn MMmmxSxSxSxSxSxS ???????????? 00000 ,)()(),()(),()(28 數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 計算過程如下 )(, )(, )(, )(, )(, 11221100nnnnxfxxfxxfxxfxxfx?nnhhhh121?121n???121n???0112231[ , ][ , ][ , ] [ , ]nnf x xf x xf x xf x x121nccc?121nddd29 數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 作業(yè) 3 見網(wǎng)頁，下周上課交 30
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