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MY MATHEMATICA DEMOS
by Nasser M. Abbasi
Updated Feb 18, 2012

This page will contain Mathematica demos I wrote. Some of these I published also at Wolfram demonstration web site. Clicking on any demonstration screen shot will open a new page where one can find the Mathematica applets (CDF) to run and more information about the demonstration including some animation.

To run any of these Mathematica CDF's, one needs to have the Mathematica plugin installed.

The browser plugin player is a free software and can be found at the Wolfram Research web site at the following link http://demonstrations.wolfram.com/download-cdf-player.html

I wrote these applets for educational purposes and to help me learn about some specific subject.

HTML #29. Feb 2, 2012 Implementation of an Improved Finite Difference Scheme for Solving Helmholtz Differential Equation in 1D	#30 Feb 18, 2012 A minimal example showing how to solve Poisson 2D using Jacobi method with Manipulate. HTML	#31.	#32.
HTML #25. Feb 2, 2012 2D Poisson PDE on non-uniform rectangle grid with Neumann and Dirichlet boundary conditions: Sparse Direct sparse solver, Jacobi, Gauss-Seidel, Gauss-Seidel/Red-black, SOR, SOR with Chebyshev acceleration, steepest descent, conjugate gradient (with different preconditioners), GMRES, BiCGSTAB.	HTML #26. Feb 2, 2012 Finite Difference Solution of the Diffusion-Advection-Reaction (heat) Equation in 1D	HTML #27. Feb 2, 2012 Finite Difference Solution of the Diffusion-Convection Equation in 1D	HTML #28. Feb 2, 2012 Implementation of an Improved Finite Difference Scheme for Solving Helmholtz Differential Equation in 2D
HTML #21. July 5, 2011 This is the same as the CT applet #20 below. But added option to allow one to use incremetal angles for the radon projections.	HTML #22. Sept. 2011 Analysis and simulation of simple/double and triple pendulum with damping.	HTML #23. Sept. 2011 CDF made with direct dynamics version for simulation of pendulum that is damped and driven by external force.	HTML #24. Sept. 2011 Chaotic Motion of a Damped Driven Pendulum using Bifurcation, Poincare map, Power Spectrum and Phase Portrait.
HTML #17. June 8,2011 Rigid Body Pendulum on a Flywheel.	HTML #18. May 24,2011 Free Response in a Second-Order Oscillating System.	HTML #19. June 25, 2011 Simulation of rigid body disk pendulum rotating on moving table.	HTML #20. July 4, 2011 Computed Tomography simulation using Radon Transform
HTML #13. July 27, 2010 work in progress. Design a digital filter by geometric means. Using the mouse click to select poles and zero locations, magnitude spectrum is displayed	HTML #14. June 28 2010 Fourier Series Coefficients of a Rectangular Pulse Signal	HTML #15. Nov 14, 2010 2D Finite difference solver for poisson PDE on unit square
HTML #9. Feb 18 2010 Sinc Interpolation for Signal Reconstruction	HTML #10. April 7 2010 From Continuous- to Discrete-Time Fourier Transform by Sampling Method	HTML #11. May 3, 2010 Analog-to-Discrete System Conversion Using Impulse Invariance	HTML #12. Sept 25, 2010 Infinite Impulse Response (IIR) Digital Low-Pass Filter Design by Butterworth Method
HTML #5. September 2008 Illustrating the Use of Discrete Distributions	HTML #6. Oct 21 2009 Mathematica 7's Discrete Distributions	HTML #7. Oct 21 2009 Analysis of a single span Euler Bernoulli beam under different loading conditions	HTML #8. December 27 2009 Rectangular pulse and its Fourier transform
HTML #1. Oct 16 2009 finite element using Ritz method for axial loaded beam. Here is my report on this	HTML #2. April 12 2009 Phase Plane Plot of the Van der Pol Differential Equation. Here is my report on this	HTML #3. August 31 2009 Power Efficiency of Amplitude Modulation.	HTML #4. September 6 2009 Power Content of Frequency Modulation and Phase Modulation.