# Skills Matrix
Scientific Domains
Numerical Methods
- • Summation By Parts (SBP) Operators
- • Finite Volume Methods (FVM)
- • Finite Difference Methods (FDM)
- • Monte Carlo Methods
- • Discontinuous Galerkin (DG)
Mathematics & Physics
- • General Relativity & Gravitational Waves
- • Spherical Harmonics
- • Numerical Analysis
- • Hyperbolic Partial Differential Equations
- • Elliptic Partial Differential Equations
- • Bayesian Inference
Engineering & HPC
High-Performance Computing
- • OpenMP Parallelization
- • Slurm / HTCondor Cluster Management
- • Performance & Memory Profiling (LIKWID)
- • SIMD Optimization
Software Architecture
- • CI/CD (GitHub Actions)
- • Unit Testing & Coverage Analysis
- • Docker & Containerization
- • Package Development (Julia/Python)
- • Git / GitHub Flow
Tech Stack
Julia Python C++ C Fortran Mathematica Bash LaTeX Linux