Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780077492168
Author: Chapra
Publisher: MCG
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Chapter 14, Problem 11P

Develop a one-dimensional equation in the pressure gradient direction at the point ( 4 , 2 ) . The pressure function is

f ( x , y ) = 6 x 2 y − 9 y 2 − 8 x 2

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Chapter 14 Solutions

Numerical Methods for Engineers

Ch. 14 - 14.1 Find the directional derivative of at in...Ch. 14 - Repeat Example 14.2 for the following function at...Ch. 14 - 14.3 Given Construct and solve a system of...Ch. 14 - (a) Start with an initial guess of x=1 and y=1 and...Ch. 14 - 14.5 Find the gradient vector and Hessian matrix...Ch. 14 - Prob. 6PCh. 14 - Perform one iteration of the steepest ascent...Ch. 14 - Perform one iteration of the optimal gradient...Ch. 14 - Develop a program using a programming or macro...Ch. 14 - 14.10 The grid search is another brute force...
Ch. 14 - Develop a one-dimensional equation in the pressure...Ch. 14 - 14.12 A temperature function is Develop a...
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