考试(2011-11-8).pdf

LaTeX X 0 3d gC 6 November 8 2011 TeX dDonald E Knuth O S 8 1 TeXX dO IStanford Donald E Knuth c t p E z O i n X 1CJK 3I c begin CJK GBK st end CJK 5 1 CJK 7 arccotx 2 7L LR fp 3 2 X x2 sin x 0isanonlinearequation x2 sin x 0 is a nonlinear equation x2 sin x 0 5 2 1111SSS n a2 b2 c2 p n 4 2 2111SSS 111mmm OOO 1S S Pn i 1i S n P i 1 i vF 20111108 1 1m S n X i 1 i S X n i 1i 3111mmm 3 1 111 a2 b2 c2 k equation a2 b2 c2 1 L eqno a2 b2 c2 x2 y2 R2 2 2 L IO setcounter equation 5 1 O 11 6 4u x y f x y x y 6 6 K 3 2 111 x2 y2 R2 2x 3y b c d x2 y2 R2 7 2x 3y 4r b c d 8 2 d uv uv 0dx 2 u0v uv0 dx 3 v u0dx u v0dx vdu udv 5 5 y a b c d c f g h i j 6 4 1S 11 12 13 21 22 23 1m 11 12 21 22 23 E f a11x1 a12x2 a1nxn b1 a21x1 a22x2 a2nxn b2 an1x1 an2x2 annxn bn E f f x x x 0 x 7 E f y 1 x 0 y 1 x 0 3 L 1 J S g mS g mS g mS g m BICG122207 813838 9508143 4347239 8 QMR345357 625868 4674346 3545219 6 CGS136306 885851 3149427 1367539 8 GMRES254305 523436 9654234 6512245 1 5LLL JXL 1 zzz 1 G D Smith Numerical solution of partial diff erential equations Oxford Clarendon Press 1984 2 s z S O 22 2000 379 384 3 Y Saad Iterative methods for sparse linear systems Boston PWS Publication Corporation 1996 4 H A Van der Vorst BiCGSTAB a fast and smoothly converging variant of BiCGfor the solu tion of non2symmetric linear systems SIAM Journal on Sc