Files for Chapter 7

Description: This directory contains the MATLAB codes for Examples 7.15 and 7.16 along with an example illustrating theaccuracy of the sensitivity equation for the spring model in Example 7.15.Data Files: 	final_al_data.txtExample7_15: This is a spring model in which the stiffness K is considered fixed and known and the damping parameter Cis the parameter considered in statistical analysis.  The code Example7_15_long.m takes approximately 45 s to run.Codes: Example7_15.zip or individually as Example7_15.m, Example7_15_long.m , spring_function.mSensitivity Equation: This example illustrates the solution to the sensitivity equation for the damping coefficient C in the spring model $\begin\left\{array\right\}\left\{l\right\} \ddot\left\{z\right\} + C \dot\left\{z\right\} + K z = 0 \\ z\left(0\right) = 0 , \dot\left\{z\right\} = -C \end\left\{array\right\}$of Example 7.15.  Specifically, it compares the analytic sensitivity solution with the computed solution to the sensitivity equation.Codes: spring_sensitivity.m, spring_rhs.m, spring_sens_rhs.mExample 7.16: This is the steady state heat example for data collected from an aluminum rod as detailed in Example 3.5.  Thisrequires the data final_al_data.txt.Codes:  Example7_16.zip or individually as Example7_16.m, heat_fun_al.m