APPLIED NUMERICAL METHODS USING MATLAB phần 7 doc

... 0,x 2 =−1/2λ(E7.2.4b) ∂ ∂λ l(x,λ) (7. 2.3b) = x 2 1 + x 2 2 − 2 = 0 (E7.2.4c) x 2 1 + x 2 2 (E7.2.4c) = 2 (E7.2.4a,b) → (−1/2λ) 2 + (−1/2λ) 2 = 2,λ=±1/2 (E7.2.5) x 1 (E7.2.4a) =−1/2λ =∓1,x 2 (E7.2.4b) =−1/2λ =∓1 (E7.2.6) Now, ... (f o =−156.66) [−0.5,−1.0] [2.9035, −2 .74 68] [−2 .74 68, −2 .74 68] [−2 .74 68, −2 .74 68] [2.9029, 2.9028] (f o =−128.39) (f o =−100.12) (f o =−100.12) (f o =−15...

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... interpolation/extrapolation. Applied Numerical Methods Using MATLAB  , by Yang, Cao, Chung, and Morris Copyr ight  2005 John Wiley & Sons, I nc., ISBN 0- 471 -69833-4 1 17 126 INTERPOLATION AND ... implemented by the MATLAB built-in function svd(). >>A = [1 2;2 3;3 5]; %a rectangular matrix >>[U,S,V] = svd(A) %Singular Value Decomposition U = 0.3092 0 .75 57 -...

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... 1/4 = 0.4 375 0 .75 y(0 .75 ) = (3/4)y(0.50) + 1/4 = 0. 578 1 1.00 y(1.00) = (1/2)y(0.5) + 1/2 = 3/4 = 0 .75 y(1.00) = (3/4)y(0 .75 ) + 1/4 = 0.6836 1.25 y(1.25) = (3/4)y(1.00) + 1/4 = 0 .76 27 1.50 y(1.50) ... quad8) (P5.8.1) |error| 1. 377 1e-2 0 4.9967e -7 flops 5024 77 57 131 28369 75 822 294 ORDINARY DIFFERENTIAL EQUATIONS 0.5 0 −0.5 2 1 0 −1 −2 −1 0 1 2 3 Figure P6.0.2 Graphs obta...

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... “ show_basis.m”andrunitto get Figs. 9 .7 a nd 9.8 together with the coefficients of each basis function as p(:, :, 1) =      −3/10 0 0 −1/8 7/ 10 7/ 16 0 0 03/16 1/10 0 0 07/ 30 7/ 24 25/42/35/6      , p(:, ... subregions as depicted in Fig. 9 .7 in two ways. First, we generate the basis functions by using the routine “ fem_basis_ftn()” and plot one of them for node 1 by using...

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... following statements into the MATLAB command window? >> ;7/ 100*100 - 7 How do you compare the absolute value of this answer w ith the reso- lution  of the range to which 7 belongs? (b) Find how ... and for 100 values of b over the interval [10 7. 4 ,10 8.5 ] generated by the MATLAB command ‘ logspace (7. 4,8.5,100)’, PROBLEMS 69 (a) Similarly to the MATLAB routine “CtFT1(x,D...

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... [1:200]/10; %interpolation points eb = 0.4*ones(size(x)); %error bound for each y y = [4 .73 34 2.1 873 3.00 67 1.4 273 1 .77 87 1.2301 1.6052 1.5353 1.3985 2.0211]; [x,i] = sort(x); y = y(i); eb = eb(i); %sort ... the (unique) fixed point x o of g(x). Applied Numerical Methods Using MATLAB  , by Yang, Cao, Chung, and Morris Copyright  2005 John Wiley & Sons, Inc. 179 180...

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... 0 .70 71032456 0.0000318210 −0.00000353554 h 6 = 0.0000010000 0 .70 71064 277 0.0000031821 −0.00000035344 h 7 = 0.0000001000 0 .70 710 674 54 0.0000003 176 −0.00000003581 h 8 = 0.0000000100 ∗ 0 .70 710 678 42 ... 0. 670 602 972 9 −0.03650380828 h 2 = 0.0100000000 0 .70 355949 17 0.0329565188 −0.0035 472 8950 h 3 = 0.0010000000 0 .70 675 31100 0.0031936183 −0.000353 671 21 h 4 = 0.000100000...

Ngày tải lên: 09/08/2014, 12:22

... 0 .76 0.64 — 0.58 0.58 0 .71 1 .70 — f o 0.53 0.53 1.36 0 .79 — 0.53 0.53 1.08 0.46 — 1 −1.21 −1.21 −1.12 −1.18 −1.21 −1.21 −1.15 1.26 1 −0.58 −0.58 −0 .76 −0.64 −0.58 −0.58 −0 .71 −1 .70 c o 3 −1 .76 ... (warning) [0.2 0.3] 0 [10.25 0] ∞ (d) [2 5] 0 [5 .77 8. 17] 25.98 [100 10] 0 Minimum PROBLEMS 3 57 Table 7. 3 The Names of MATLAB Built-In Minimization Routines in MATLAB 5.x/6.x Unco...

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... (F.10) (continued overleaf ) Applied Numerical Methods Using MATLAB  , by Yang, Cao, Chung, and Morris Copyr ight  2005 John Wiley & Sons, I nc., ISBN 0- 471 -69833-4 477 ROW ECHELON FORM 4 67 B.8 PERMUTATION ... rule, 222 minimum-norm solution, 73 mixed boundary condition, 2 87, 306, 308 modal matrix, 373 – 376 mode, 285, 377 – 378 , 386, 432, 434 modification formula,...

Ngày tải lên: 09/08/2014, 12:22