<Numerical Methods> 

*How do you make a computer evaluate a polynomial efficiently?

*How do you use a computer to solve differential equations?

 

<Finite Volume Methods> 

*How do you solve hyperbolic partial differential equations accurately and efficiently?

*How do you model tsunamis?

Whatever I can mentally grasp and understand the theoretical inner-workings of the concept, I enjoy learning about and working with to solve new problems.

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Presentations/Notes I have made:

“Non-large-time-step, double h-boxes method for zero-width barrier Shallow Water Equations problem in 1D”

Non-LTS double h-box method notes

2D double h-boxes formation notes 

1D/2D progress in zero-width barrier modeling

Coastal Protection Strategy with Ocean Visions (link)

2D progress in ZWB modeling

Progress on Angled Barriers for 2D SWE

New Methods on 2D barrier simulation

Thesis Proposal

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Papers I have read:

“A HIGH-RESOLUTION ROTATED GRID METHOD FOR CONSERVATION LAWS WITH EMBEDDED GEOMETRIES” by Helzel, C., Berger M., Leveque, R.

“Local Adaptive Mesh Refinement for Shock Hydrodynamics” by Berger M., Colella P.

Textbooks I have read:

Finite Volume Methods for Hyperbolic Problems by Randall Leveque

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My Github page: Here