In an interdisciplinary project combining Atmospheric Physics, High Performance Computing, and Big Data, we explore a numerical method for solving a physical system modeled by a partial differential equation. The application ...

The compact direct flux reconstruction method (CDFR) for conservation laws utilizes techniques from compact finite difference methods to directly approximate spatial derivatives of fluxes within standard elements. The CDFR ...

As the leading cause of death in the United States, heart disease has become a principal concern in modern society. Cardiac arrhythmias can be caused by a dysregulation of calcium dynamics in cardiomyocytes. Calcium ...

Calcium dysregulation is a signi cant cause of fatal cardiac arrythmias, but it is an incompletely understood phenomenon and diffcult to predict. Cardiac calcium levels can be modelled as a system of partial differential ...

Calcium dysregulation is a signi cant cause of fatal cardiac arrythmias, but it is an incompletely understood phenomenon and diffcult to predict. Cardiac calcium levels can be modeled as a system of partial differential ...

Recombinant binomial trees are binary trees where each non-leaf node has two child nodes, but adjacent parents share a common child node. Such trees arise in option pricing in finance. For example, an option can be valued ...

The Intel Xeon Phi is a many-core processor with a theoretical peak performance of approximately 1 TFLOP/s in double precision. This project contrasts the performance of the second generation Intel Xeon Phi, code-named ...

This report explores how data structures known as tensors can be used to perform multidimensional data analysis. If a matrix can be thought of as a two-dimensional array, then a tensor can be thought of as a multi-dimensional ...

Matlab is the most popular commercial package for numerical computations in mathematics, statistics, the sciences, engineering, and other fields. Octave is a freely available software used for numerical computing. R is a ...

Proton beam radiation treatment was first proposed by Robert Wilson in 1946. The advantage of proton beam radiation is that the lethal dose of radiation is delivered by a sharp increase toward the end of the beam range. ...