phys_num

Numerical Methods for Physics

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Informations:

From the project:

Various numerical methods, written in C language. The project contains the solutions of an university course. Tasks description can find here (Hungarian)

This project contains:

The project contains four main topic:

1. Matrix multipication (folder: matrix_multi):

The program can multiplicat row, column vectors, matrices and their combinations

2. Gauss-Jordan elimination (folder: gauss_jordan_elim):

Their are two version, first is the standard algorithmic solution, second version contains singular-value decomposition (SVD) method. For SVD, LAPACK needed. You can get from here. In simple case (in win ops sys), decompress lapacke.rar (in "gauss_jordan_elim") to "gauss_jordan_elim" folder, and it will work.

3. Polynomial fitting (folder: multi_dim_fitt):

The program make a general N variable polynomial fitting. One small data for test added. Plots and result in "predicted_values" folder

4. Numerical methods for ordinary differential equations:

4.1. Euler method (folder: euler_RK4_moon):

Calculates the solution of the Earth-Moon system with Euler method.

4.2. 4th order runge-kutta method (folder: euler_RK4_moon and RK4_attractors):

4.2.1. Earth-Moon system.

Calculates the solution of the Earth-Moon system with RK4 method. (plots in euler_RK4_moon/plot folder)

4.2.2. Strange Attractors

Calculates the solution of special ODE systems with adaptive RK4 method. (plots of the attractors find in RK4_attractors/plot folder, dataset in /data for those who want make plots)

Teaser:

Moon trajectories (euler and RK4):

Strange Attractors:

Polynomial fitting: