Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Textbook Question
Chapter 7.3, Problem 4CP
Carry out the steps of Computer Problem 2, using the Finite Element Method.
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Please note this is a block multiplication problem…
1. Solve the multiplication problem
d b.
96
X 8
in three different ways: by using the standard
brs algorithm, by using the partial-products algorithm,
and by writing the numbers in expanded forms and
using properties of arithmetic. For each of the three
methods, discuss how the steps in that method are
related to the steps in the other methods.
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6. а.
please do the full problem!
Chapter 7 Solutions
Numerical Analysis
Ch. 7.1 - Use Theorem 7.1 to prove that the boundary value...Ch. 7.1 - Show that the solutions to the BVPs in Exercise 1...Ch. 7.1 - Consider the BVP { y=cyy(a)=yay(b)=yb where c0, ab...Ch. 7.1 - Consider the BVP { y=cyy(0)=0y(b)=0 where c0. For...Ch. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Show that the solutions to the linear BVPs {...Ch. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Apply the Shooting Method to the linear BVPs....
Ch. 7.1 - Carry out the steps of Computer Problem 1 for the...Ch. 7.1 - Apply the Shooting Method to the nonlinear BVPs....Ch. 7.1 - Carry out the steps of Computer Problem 3 for the...Ch. 7.1 - Prob. 5CPCh. 7.1 - Verify that (7.10) is a solution of the BVP for...Ch. 7.1 - Set compressibility to the moderate value c=0.01 ....Ch. 7.1 - Prob. 3SACh. 7.1 - Change pressure to p=3.5, and resolve the BVP....Ch. 7.1 - Prob. 5SACh. 7.1 - Carry out Step 5 for the reduced compressibility...Ch. 7.1 - Carry out Step 5 for increased compressibility...Ch. 7.2 - Use finite differences to approximate solutions to...Ch. 7.2 - Use finite differences to approximate solutions to...Ch. 7.2 - Use finite differences to approximate solutions to...Ch. 7.2 - Use finite differences to plot solutions to the...Ch. 7.2 - (a) Find the solution of the BVP y=y, y(0)=0,...Ch. 7.2 - Solve the nonlinear BVP 4y=ty4, y(1)=2, y(2)=1 by...Ch. 7.2 - Extrapolate the approximate solutions in Computer...Ch. 7.2 - Extrapolate the approximate solutions in Computer...Ch. 7.2 - Prob. 9CPCh. 7.2 - Use finite differences to solve the equation {...Ch. 7.2 - Solve { y=cy(1y)y(0)=0y(1/2)=1/4y(1)=1 for c0,...Ch. 7.3 - Use the Collocation Method with n=8, 16 to...Ch. 7.3 - Use the Collocation Method with n=8, 16 to...Ch. 7.3 - Carry out the steps of Computer Problem 1, using...Ch. 7.3 - Carry out the steps of Computer Problem 2, using...
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- Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.arrow_forwardProblem 4. The number of memory chips M needed in a personal computer depends on how many application programs, A, the owner wants to run simulta- neously. The number of chips M and the number of application programs A are described by (4 chips for 1 program, 4 chips for 2 programs, [0.1(5 – a) a = 1,2,3, 4, M = PA(a) = 6 chips for 3 programs, 8 chips for 4 programs, otherwise. (1) (a) What is the expected number of programs uA = E[A]? (b) Express M, the number of memory chips, as a function M = g(A) of the number of application programs A. (c) Find E[M] = E[g(A)]. Does E[M] = g(E[A])? (d) Find Variance of A and Marrow_forward3. Solve the multiplication problem, 34 x 65, in three different ways: the standard algorithm, the partial-products algorithm, and by writing the numbers in expanded forms and using properties of arithmetic.arrow_forward
- Problem 2. The following algorithm which is used to evaluate a polynomial anr" + an-17"-1 +……+a1x + ao at r = c is expressed in pseudocode as follows: procedure polynomial evaluation (c, ao, - - - ,an : real numbers) y:= an for i := 1 to n y := y *c+ an-i return y {y = an" + an-17"-1 + ...+aįx+ ao}. where the final value of y is the value of the polynomial at r = c. (a) Evaluate 12r + 3r3 – 52² + 7x – 8 at r = -1 by working through each step of the a showing the values assigned at each assignment step CLEARLY. Answers with missing it indices, etc. will not be taken into account.arrow_forwardProblem 16-13 (Algorithmic) The wedding date for a couple is quickly approaching, and the wedding planner must provide the caterer an estimate of how many people will attend the reception so that the appropriate quantity of food is prepared for the buffet. The following table contains information on the number of RSVP guests for the 145 invitations. Unfortunately, the number of guests does not always correspond to the number of RSVPed guests. Based on her experience, the wedding planner knows it is extremely rare for guests to attend a wedding if they notified that they will not be attending. Therefore, the wedding planner will assume that no one from these 50 invitations will attend. The wedding planner estimates that the each of the 25 guests planning to come solo has a 75% chance of attending alone, a 20% chance of not attending, and a 5% chance of bringing a companion. For each of the 60 RSVPs who plan to bring a companion, there is a 90% chance that she or he will attend with a…arrow_forwardHow do you solve problem 29 using U-sub?arrow_forward
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