Interval arithmetic provides a way of extending the action of elementary functions from points to intervals. It uses directional rounding to assure that for a point x and an ...

New for Version 11: new content for 3D printing and Version 11 graphics capabilities, including word clouds; customizing/labeling; and new content for working with data, ...

Abstract Since the devastation wrought to the American Gulf Coast by hurricanes Katrina and Rita in 2005, and spurred in part by the apparent rise in the frequency of severe ...

Transient multiphase fluid dynamics presents a unique problem in domain discretization. Instead of preserving geometrical accuracy, it is more important to preserve liquid ...

A finite difference method has been developed from scratch using Mathematica. Here, this method is compared to both a commercial software package and a theoretical ...

The implantation of an intraocular lens following cataract surgery has become the standard method of correcting residual refraction following cataract surgery. The ...

Hansen discusses Schroedinger.m, which enables users of Mathematica to define a potential and determine bound-state energy eigenvalues for a one-dimensional Hamiltonian.