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Numerical Methods for Parallel Simulation of Diffusive Pollutant Transport from a Point Source
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 ...
A Parallel Performance Study of the High-order Compact Direct Flux Reconstruction Method for Conservation Laws on Maya Cluster
(2017)
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 ...
Developing the Coupling of the Mechanical to the Electrical and Calcium Systems in a Heart Cell
(2017)
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 ...
Modeling the Links Between the Chemical, Electrical and Contractile Calcium Dynamics in a Heart Cell
(2016)
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 ...
Examining the Effect of Introducing a Link from Electrical Excitation to Calcium Dynamics in a Cardiomyocyte
(Illinois State University, 2016)
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 ...
Parallelizing Computation of Expected Values in Recombinant Binomial Trees
(Taylor and Francis Online, 2017-11-24)
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 ...
Performance Comparison of a Two-Dimensional Elliptic Test Problem on Intel Xeon Phis
(2016)
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 ...
Applications of Tensor Decompositions
(2016)
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 ...
A Comparative Evaluation of Matlab, Octave, R, and Julia on Maya
(2017)
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 ...
Speedup Potential for Reconstruction Techniques for Prompt Gamma Imaging During Proton Radiotherapy
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. ...