| Faires&Burden : ¼穉¡푭え稟 | ||
| ||
Faires&Burden : ¼öÄ¡Çؼ® 3ÆÇ ¼Ö·ç¼Ç (Numerical Methods 3rd Edition , Faires & Burden) ´Ù¿î¹Þ±â Faires&Burden : ¼öÄ¡Çؼ® 3ÆÇ ¼Ö·ç¼Ç (Numerical Methods 3rd Edition , Faires & Burden) [¼Ö·ç¼Ç] ¼öÄ¡Çؼ® 3ÆÇ(Numerical Methods 3rd Edition, Faires & Burden) ÀÔ´Ï´Ù. éÅÍ1 ºÎÅÍ Ã©ÅÍ 12±îÁöÀÇ ¼Ö·ç¼ÇÀÔ´Ï´Ù..^^ °øºÎ ÇÒ ¶§ Á¤¸» µµ¿òÀÌ ¸¹ÀÌ ‰ç´ø ÀÚ·á ÀÔ´Ï´Ù. ¼ö¾÷À» µû¶ó°¡¸é¼ ÀÌÇØ ¾È°¡´Â ºÎºÐÀÌ ÀÖÀ¸¸é üũ ÇÏ´Â ¹æ½Äµµ ±¦ÂúÀ¸¸ç, ¶Ç ¼ö¾÷ÀÌ µéÀºÁö ¿À·¡µÇ¾î ´Ù½Ã °øºÎÇÏ°íÀÚ ÇÒ¶§ µµ¿òÀÌ µÇ´Â ¼Ö·ç¼ÇÀÔ´Ï´Ù..^^ ±×¸®°í ½ÃÇè±â°£¿¡´Â Á¤¸» ¾ø¾î¼´Â ¾ÈµÉ ÀÚ·áÀ̱⵵ Çϱ¸¿ä..^^ ¾Æ·¡´Â ÀϺÎÀÇ ¹ßÃé ºÎºÐÀÔ´Ï´Ù..^^ Âü°í! 1.2 Answers for Numerical Methods 633 ANSWERS FOR NUMERICAL METHODS Exercise Set 1.2 (Page 000) 1. For each part, f ¡ô C[a, b] on the given interval. Since f(a) and f(b) are of opposite sign, the Intermediate Value Theorem implies a number c exists with f(c) = 0. 3. For each part, f ¡ô C[a, b], f exists on (a, b), and f(a) = f(b) = 0. Rolles Theorem implies that a number c exists in (a, b) with f(c) = 0. For part (d), we can use [a, b] = [−1, 0] or [a, b] = [0, 2]. 5. a. P2(x) = 0 b. R2(0.5) = 0.125; actual error = 0.125 c. P2(x) = 1+3(x − 1) + 3(x − 1)2 d. R2(0.5) = −0.125; actual error = −0.125 7. Since P2(x) = 1+x and R2(x) = −2e¥î(sin ¥î + cos ¥î) 6 x3 for some number ¥î between x and 0, we have the following: a. P2(0.5) = 1.5 and f(0.5) = 1.446889. An error bound is 0.093222 and |f(0.5)− P2(0.5)| ¡Â 0.0532 b. |f(x) − P2(x)| ¡Â 1.252 c. 1 0 f(x) dx ≈ 1.5 d. | 1 0 f(x) dx− 1 0 P2(x) dx| ¡Â 1 0 |R2(x)| dx ¡Â 0.313, and the actual error is 0.122. 9. The error is approximately 8.86 ¡¿ 10−7. June 29, 2002 1:10 P.M. 634 CHAPTER 1 Answers for Numerical Methods 11. a. P3(x) = 1 3x + 1 6x2 + 23 648x3 b. We have f(4)(x) = −199 2592 ex/2 sin x 3 + 61 3888ex/2 cos x 3 , so |f(4)(x)| ¡Â |f(4)(0.60473891)| ¡Â 0.09787176 for 0 ¡Â x ¡Â 1, and |f(x) − P3(x)| ¡Â |f(4)(¥î)| 4! |x|4 ¡Â 0.09787176 24 (1)4 = 0.004077990. 13. A bound for the maximum error is 0.0026. ÀÚ·áÃâó : http://www.allreport.co.kr/search/detail.asp?pk=11033876&sid=knp868group1&key=Faires%26Burden [¹®¼Á¤º¸] ¹®¼ºÐ·® : 150 Page ÆÄÀÏÁ¾·ù : ZIP ÆÄÀÏ ÀÚ·áÁ¦¸ñ : ÆÄÀÏÀ̸§ : [¼Ö·ç¼Ç] ¼öÄ¡Çؼ® 3ÆÇ(Numerical Methods 3rd Edition, Faires & Burden).zip Å°¿öµå : ±â°è,°øÇÐ,Àü»ê,¿¬½À¹®Á¦,¼Ö·ç¼Ç,Numerical,Faires&Burden,:,¼öÄ¡Çؼ®,3ÆÇ - Numerical Methods 3ÆÇ ¼Ö·ç¼Ç Faires&Burden - Numerical Methods 3ÆÇ ¼Ö·ç¼Ç Faires&Burden |
