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My principal interest and area of research is mathematical modeling, where problems of different areas (physics, engineering, economics) are approached using mathematics to be able to understand, quantify or at least reproduce the behavior of interest. I am currently leading MT Fusion Labs, a software development and technology integration group. The mission of MT Fusion Labs is to create enriching educational experiences that combine Mathematics, Physics, and Computer Science concepts by leveraging the power and appeal of emerging technologies.

As members of the MT Fusion Labs, students at CCGA engage in great undergraduate research projects, and here is a preview of our last creation. (for more information visit www.MTFusionLabs.com)

 

Below you will find links to additional projects and a list of projects that I have done over the last 15 years. If you need any further information from the topics of the list please contact me and I will be happy to assist you.

 

Computational Fluid Dynamics (dissertation)

SPECTRAL METHODS SOLUTION OF THE NAVIER-STOKES EQUATIONS FOR STEADY VISCOUS FLOWS

Vargas_German_SP09.pdf

 

 

Mechanics

Coupled Pendulums

Torsion Systems

 

Electromagnetism

Ohm's Law

Electric Field  

Magnetic Field

Alternating Current

Capacitors and Weaston Bridge

RLC Circuit

Electron Mass - Charge Relation

 

Electronics

Diodes

Zener Diodes

Transistors

Amplifiers

Bode Diagrams

Digital to Analog Converter

Digital Gas Counter Project

 

Modern Physics

Gravitational Mirrors

Dispersion by a Central Field

Optic Constants of Thin Films

Identical Particles

Tomas Fermi and Brandt Kitagawa Electronic Distributions

Anharmonic Oscillator

 

Computational Physics

Simulation of Stopping Potential

Coupled Pendulums

Dispersion by a Central Field

Heat Equation

Poisson Equation

Electron in variable Electromagnetic Field

Magnus Effect

Coupled Pendulums

Computational Fluid Dynamics