Custom FEM solver development
Prototype and implement finite element solvers for PDE-based models in MATLAB or Python.
- Weak-form implementation
- Boundary conditions
- Sparse linear systems
- Simulation workflow
Early service direction
Scientific computing services
PhyNumerics is positioned around finite element methods, numerical PDEs, and simulation support for research groups, engineering teams, and technical startups.
Verification and convergence
Build verification studies to check whether a numerical implementation behaves correctly.
- Manufactured solutions
- Error norms
- Convergence tables
- Technical reports
MATLAB/Python scientific computing
Develop, clean, translate, or document numerical research code.
- MATLAB workflows
- Python/SciPy sparse routines
- Data visualization
- Reproducible examples
Multiphysics simulation
Support coupled models involving heat, diffusion, phase fields, transport, and materials systems.
- Coupled PDE systems
- Time stepping
- Parameter studies
- Model interpretation
Research-to-product prototyping
Turn research models into clean technical demos and employer/client-facing case studies.
- Portfolio reports
- Simulation visuals
- Technical presentation
- Problem framing
Technical documentation
Prepare concise reports explaining the method, implementation, and numerical evidence.
- Problem statements
- Weak forms
- Tables and plots
- Professional summaries