On this page I post my unpublished work.
School
Projects
San Diego
State University and Claremont
Graduate University
Study of Vortex Ring Dynamics in
the Nonlinear Schrödinger Equation utilizing GPU-Accelerated High-Order
Compact Numerical Integrators
Ph.D.
Dissertation Proposal
Download: Proposal (PDF) Presentation (PPTX
- 63MB) (PDF)
Existence and Azimuthal Modulational Stability of Vortices in the Cubic-Quintic Nonlinear Schrödinger Equation
Ph.D.
Qualifying Exam
(Please note Figure 6 is in error - see publication 2 on this site for correction)
Download: Report (PDF) Presentation (PPTX) (PDF)
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: Report (PDF) Presentation (PPT) (PDF)
Simulating the Nonlinear
Schrödinger Equation using CUDA with MATLAB
Final Project #1 for
Computational Science 670: Problems in Computational Science
Download: Report (PDF) Presentation (PPT) (PDF) See www.nlsemagic.com for codes.
Numerical
Computation of Geodesics on Combined
Piecewise-Smooth Surfaces
Final Project for
Math 393: Math Clinic Boeing
Download: Report (PDF) Presentation (PPT) (PDF)
A
MATLAB GUI Program for Integrating Finite Difference Schemes
for the 3D NLSE and Visualizing Results
Final Project for
Math 498: Independent Research
Download: Report (PDF)
Eliminating
Ghost Factors in Truncated
Gauss-Sum Factorization
Final project for
Math 473: Seminar on Discrete and Combinatorial Alogrithms
Download: Paper (PDF) Presentation (PPTX) (PDF)
Phase
Separation and Dynamics of Two-component Bose-Einstein Condensates
Final project for
Math 281: Dynamical Systems
Download: Report (PDF) Presentation (PPT) (PDF)
Image
Enhancement of Extreme Ultra-Violet
Solar Images
Final
project for
Math 336: Digital
Image Processing
Download: Report (PDF) Presentation (PPT) (PDF)
Parallelization
of the Classic Gram-Schmidt
QR-Factorization
Final
project for
Math
543:
Numerical Matrix
Analysis
Download: Presentation (PPTX) (PDF)
Finding
Steady State Vortex Solutions to the 2D
NLSE Using
Optimization Algorithms
Final
project for
Math 693a: Advanced Numerical Analysis I: Numerical Optimization
Download: (PPTX) (PDF)
Chaotic
Stellar Dynamos
Final
project for
Math 638: Continuous Nonlinear Dynamics and Chaos
Download: Report (PDF) Presentation (PPT) (PDF)
Tsunami
Final project for
Math 636: Mathematical Modeling
Download: Report (PDF) Presentation (PPT) (PDF)
PDE’s
in Curvilinear Coordinates
Final
project for
Math 693b: Advanced Numerical Analysis II:
PDE’s
Download: Presentation (PPT) (PDF)
Mimetic
Operators
Final
project for
Math 542: Numerical Differential Equations
Download: Report (PDF) Presentation (PPT) (PDF)
Hopping
Patterns on Burner Animation
Final
visualization for
CS 689: Scientific Visualization
Download: Three-Bumps (MOV) Five-Ten-Bumps (MOV)
Visualization
Critique and Revision of “The Mysterious Origins of Solar
Flares”
Final
Project for
CS 689: Scientific Visualization
Download: Presentation (PPT) (PDF)
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: Paper (PDF) Presentation (PPT) (PDF)
Washington High School
Cosmic
Gamma Ray Bursts
Final
paper for
English 12A
Download: Paper (PDF)
Black
Holes
Final
paper for
Honors Physics
Download: Paper (PDF)
Work Reports
San Diego State University Research
Foundation
Implementing CUDA-based GPU
Acceleration to Hybrid WENO-Spectral Code
This
is a report of the work that I did for Professor
Gustaaf Jacobs
of the Aerospace Engineering Department
at SDSU
during the summer of 2010.
Download: Report (PDF)
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: Report (PDF)