A particle system is a computer graphics technique to simulate “fuzzy” phenomena which are hard to render using conventional methods. Some examples would be natural phenomena such as fire, smoke, flowing water, falling leaves, and clouds, or unnatural phenomena such as glowing trails, and magic spells [1].
Particle systems are of interest because of their ability […]

We recently learned about LU factorization in class [1]. However, matrix manipulation and decomposition is not limited to LU factorization. There are other decomposition techniques that come in handy in solving a variety of matrix problems. QR decomposition is one of particular interest [2]. QR decomposition is a very powerful tool to solve the Ax=b […]

We have looked at truncation and rounding errors in class concerning the calculation of the first derivative. Such errors can be the nascent of major miscalculations when dealing with multi-step algorithms. Sinusoidal oscillators are one application where truncation and rounding errors can sway the result from the desired output. However, techniques such as interpolation come […]