On this page I have my unpublished work.  
This includes my current research, school projects, and work reports.

Current Research

• Integrating the Nonlinear Scrodinger Equation using compute capability of NVIDIA GPU cards with CUDA
• A Modulus-Squared-Dirchilet boundary condition for time-dependant complex PDEs
• A 2-Step High-Order Compact Scheme for the Nonlinear Schrodinger Equation
• Three-Dimensional Dark Vortex Rings in the Nonlinear Schrodinger Equation
  

School Projects

San Diego State University and Claremont Graduate University
 
Using AJAX to Develop a Web Interface to Run CO2 Sequestration Simulations on Remote Servers
Final Project #2 for
Computational Science 670:  Problems in Computational Science
Download (PDF): Report  Presentation

Simulating the Nonlinear Schrödinger Equation using CUDA with MATLAB
Final Project #1 for
Computational Science 670:  Problems in Computational Science
Download (PDF): Report  Presentation  Set-Up Manual

Numerical Computation of Geodesics on Combined Piecewise-Smooth Surfaces
Final Project for
Math 393:  Math Clinic Boeing
Download (PDF): Report  Presentation

A MATLAB GUI Program for Integrating Finite Difference Schemes for the 3D NLSE and Visualizing Results
Final Project for
Math 498:  Independent Research
Download (PDF): Report

Eliminating Ghost Factors in Truncated Gauss-Sum Factorization
Final project for
Math 473:  Seminar on Discrete and Combinatorial Alogrithms
Download (PDF): Report  Presentation

Phase Separation and Dynamics of Two-component Bose-Einstein Condensates
Final project for
Math 281:  Dynamical Systems
Download (PDF): Report  Presentation

Image Enhancement of Extreme Ultra-Violet Solar Images
Final project for
Math 336:  Digital Image Processing 
Download (PDF): Report  Presentation  Portfolio: Link

Parallelization of the Classic Gram-Schmidt QR-Factorization
Final project for
Math 543:  Numerical Matrix Analysis
Download (PDF): Presentation

Finding Steady State Vortex Solutions to the 2D NLSE Using Optimization Algorithms
Final project for
Math 693a: Advanced Numerical Analysis I: Numerical Optimization
Download (PDF): Presentation

Chaotic Stellar Dynamos
Final project for
Math 638: Continuous Nonlinear Dynamics and Chaos
Download (PDF): Report  Presentation

Tsunami
Final project for
Math 636: Mathematical Modeling
Download (PDF): Report  Presentation

PDE’s in Curvilinear Coordinates
Final project for
Math 693b:  Advanced Numerical Analysis II: PDE’s
Download (PDF): Presentation

Mimetic Operators
Final project for
Math 542:  Numerical Differential Equations
Download (PDF): Report  Presentation

Hopping Patterns on Burner Animation
Final visualization for
CS 689: Scientific Visualization
Download (AVI): Three Bumps  Five/Ten Bumps

Visualization Critique and Revision of “The Mysterious Origins of Solar Flares”
Final Project for
CS 689: Scientific Visualization
Download (PDF): Presentation


University of California Santa Barbara

Stellar Disruptions of Super Massive Black Holes
Joint Final Project for
Physics 198: Directed Reading and
Writing 109ST: Writing for Science and Technology
Download (PDF): Paper  Presentation


Washington High School

Cosmic Gamma Ray Bursts
Final paper for
English 12A
Download (PDF): Paper

Black Holes
Final paper for
Honors Physics
Download (PDF): Paper


Work Reports

Los Alamos National Laboratory

Visualization and Analysis of Numerical Simulation Data
This is a report of the work that I did while at both LANL
and UCSB for the X-2 Division at LANL. 
Download (PDF): Report