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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 a few of our creations. (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
MechanicsCoupled Pendulums Torsion Systems
ElectromagnetismOhm's Law Electric Field Magnetic Field Alternating Current Capacitors and Weaston Bridge RLC Circuit Electron Mass - Charge Relation
ElectronicsDiodes Zener Diodes Transistors Amplifiers Bode Diagrams Digital to Analog Converter Digital Gas Counter Project
Modern PhysicsGravitational Mirrors Dispersion by a Central Field Optic Constants of Thin Films Identical Particles Tomas Fermi and Brandt Kitagawa Electronic Distributions Anharmonic Oscillator
Computational PhysicsSimulation 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 |