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EP501 Example MATLAB Programs

Example codes, assignments, and exams for the EP 501 (numerical methods) course at Embry-Riddle Aeronautical University. This repository is a work in progress and will be updated as the semester progresses.

Codes updated for FA2020 semester

Basics of using matlab

1. located in ./matlab_basics/matlab_basics.m
2. illustrates precision, matrix operations, and plotting, along with some special functions

Numerical linear algebra

1. located in ./linear_algebra/Ch1.m
2. illustrates and checks various methods for solving matrix problems
3. contains functions for Gaussian elimination (Gauss_elim.m) and backsubstitution (backsub.m)
4. contains examples of simple elimination (simple_elim_example.m) and Gaussian elimination (Gauss_elim_example.m)
5. contains examples of iterative solutions to systems of equations (Jacobi_example.m)

Codes not yet updated as of FA2020 semester

Nonlinear equations

1. located in ./nonlinear
2. contains various functions related to Newton's method

Polynomials and fitting

1. located in ./polynomials
2. contains examples of direct and approximate polynomial fits to data
3. contains test data for some homework problems

Numerical differentiation and integration

1. located in ./differentiation
2. examples of finite difference formulas and applications
3. one-dimensional and multi-dimensional examples (e.g. gradient operator)

Ordinary differential equations (ODEs)

1. located in ./ODEs

Partial differential equations (PDEs)

1. location in ./PDEs

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