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 # Texas A&M Aerospace Engineering - AERO 430 - Numerical Simulation
+AERO 430 involves the discussion and application of the finite difference method (FDM) and finite element method (FEM) to 
+2 types of problems: the naturally stable heat transfer in a beam and the naturally unstable forced vibration of a beam.
+
 ## HW1
+Compute the numerical solution to the 1 dimensional heat transfer of a uniform beam using first and second order FDM 
+and compare to the analytical solution.
+
+[Homework 1 Report](HW1/Judson_Upchurch_HW1.pdf)
 
 ## HW2
+Compute the numerical solution to the 1 dimensional heat transfer of a uniform beam using second order FDM and linear 
+shape function FEM.
+
+[Homework 2 Report](HW2/Judson_Upchurch_HW2.pdf)
 
 ## HW3
+Compute the numerical solution to the 1 dimensional heat transfer of a non-uniform beam using second order FDM and linear 
+shape function FEM.
+
+[Homework 3 Report](HW3/Judson_Upchurch_HW3.pdf)
 
 ## HW4
+Compute the numerical solution to the 1 dimensional heat transfer of a non-uniform beam using second and fourth order FDM 
+and linear and quadratic shape function FEM.
 
-## HW5
+[Homework 4 Report](HW4/Judson_Upchurch_HW4.pdf)
+
+## HW5-6
+Compute the numerical solution to the 1 dimensional forced vibration of a uniform beam using second and fourth order FDM 
+and linear and quadratic shape function FEM. Also perform a frequency sweep to determine the natural frequencies of the method and the beam.
+
+[Homework 5-6 Report](HW5/Judson_Upchurch_HW5_6.pdf)
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