Skills and Focus Areas

Focuses and skills across computational mathematics and science that I've worked with or am currently exploring in my research, projects, and contributions


Spectral Analysis

Fully Discrete Analysis

Numerical Analysis

Partial Differential Equations

Ordinary Differential Equations

Spatial Discretization

Finite Element Methods

Discontinuous Galerkin Methods

Finite Volume Methods

Isogeometric Analysis

Time Integration

Runge–Kutta Methods

Implicit & IMEX Methods

Numerical Linear Algebra

Iterative Linear Solvers

Multigrid Methods

Scientific Computing

Computational Fluid Dynamics

Computational Structural Mechanics

Computational Physics

Julia

Python

C++

Fortran