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Computational Methods in Aerospace Engineering >> Content Detail



Lecture Notes



Lecture Notes

Special software is required to use some of the files in this section: .m, .mat.

Lecture notes are listed by week in the table below. A complete set of lecture notes is also available and is included above the table.

Complete Lecture Notes - "Computational Methods in Aerospace Engineering" (PDF - 2.5 MB)

LEC #TOPICSLECTURE NOTES
Ordinary Differential Equations
1Numerical Integration of Ordinary Differential Equations: An Introduction(PDF)

drop_fe.m (M)

drop_mp.m (M)

drop_rhs.m (M)
2Convergence and Accuracy(PDF)

ga_fe.m (M)

ga_mp.m (M)
3Convergence of Multi-Step Methods(PDF)

ga_ma2.m (M)
4Systems of ODE's and Eigenvalue Stability(PDF)

fe_stab.m (M)

nonpen_fe.m (M)

nonpen_mp.m (M)
5Stiffness and Implicit Methods(PDF)

dif1d.m (M)

dif1d_fun.m (M)

dif1d_main.m (M)

eig_dif1d.m (M)

mstepstab.m (M)

stiff_err.m (M)

stiff_forced.m (M)
6Runge-Kutta Methods(PDF)

rkstab.m (M)
Finite Volume/Difference Methods
7Conservation Laws and Finite Volume Methods(PDF)

convect1d.m (M)

convect2d.m (M)
8Finite Difference Methods for Convection-Diffusion(PDF)

convect1d_ftcs.m (M)
9Matrix Stability Analysis(PDF)

condif1d_ftcs_eig.m (M)

convect1d_ftcs_eig.m (M)
Midterm Exam
10Fourier Stability Analysis(PDF)
Finite Element Methods
11Method of Weighted Residuals(PDF)

MWR_dif1d.m (M)
12Finite Element Method for 1-D Diffusion(PDF)

fem_dif1d.m (M)

fem_dif1d_gq.m (M)
13Finite Element Method for 2-D Diffusion(PDF)
14Higher-order FEM(PDF)

fem1D_hier.m (M)

fem1D_quad.m (M)
Probabilistic Methods
15Introduction to Monte Carlo Method(PDF)

blade1D.m (M)

bladedet.m (M)

bladeLtbc.m (M)

bladeuni.m (M)
16Error Estimates for Monte Carlo Method(PDF)

 








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