The Runge-Kutta methods are an important family of iterative methods that were designed to imitate the Taylor series method. These methods are good for the approximation of the solutions to ordinary differential equations. The initial value problem for the Taylor series is that the second order, third order derivatives, etc. need to be taken by […]

Efficient algorithms are needed to predict the accuracy and increase the speed of the prices of the American and European put options. A put option is an agreement between two parties that allows the buyer the right to sell commodity at a certain time for a certain price, which can be also known as the […]

There used to be a time where a graphics designer would have to spend hours organizing and manipulating multiple files that represent the same image. First, the image is saved as a .raw file with low contrast and low saturation in order to preserve the data (allow for maximum dynamic range and widest gamut) for […]