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Numerical Methods of Applied Mathematics II >> Content Detail



Lecture Notes



Lecture Notes

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

The lecture notes are available as a single (PDF) file, or as separate files related to the lectures in the table below.


LEC #TOPICSNUMERICAL EXAMPLES AND HANDOUTS
1Introduction, Examples
2Linear Systems
3The Fast Fourier Transform (PDF)
4Wave Equation (PDF)Supplemental Handout (PDF)
5Consistency, Stability, Convergence, Von Neumann Analysis (PDF)
6Conditions for Stability (PDF)
7Multistep Schemes

Leap-frog (PDF)
8Dissipation (PDF)Numerical Example (M)
9Dispersion (PDF)
10Group Velocity and Propagation of Wave Packets I (PDF)Numerical Example (M)
11Group Velocity and Propagation of Wave Packets II (PDF)
12Parabolic Equations (PDF)Supplemental Handout (PDF)
13The Du Fort Frankel Scheme (PDF)Numerical Example (M)
14The Convection-Diffusion Equation (PDF)Numerical Example (M)
15Systems of Differential Equations (PDF)
16The Solution of the System ut + Aux = Bu (PDF)
17The Solution of the System ut + Aux = Buy (PDF)
18ADI Methods (PDF)
19Elliptic Equation (PDF)
20Numerical Methods for Elliptic Equations (PDF)
21Detailed Analysis of Jacobi, Gauss-Seidel and SOR(w) (PDF)
22Multigrid, Part INumerical Example Mgdemo.m and others located here
23Multigrid, Part II
24Numerical Methods for ODEs (PDF)Numerical Example (M)
25Stiff ODEs (PDF)

 








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