"Where mathematics meets computation, discovery begins."
I am a mathematician and computational scientist with research interests spanning applied mathematics, scientific computing, and machine learning for differential equations.
My work focuses on developing analytical and computational techniques for complex dynamical systems arising in physics, biology, and engineering.
- Partial Differential Equations (PDEs)
- Fluid Mechanics & Flow Modeling
- Mathematical Biology
- Delay Differential Equations
- Fractional Differential Equations
- Stability & Bifurcation Analysis
- Numerical Analysis
- Scientific Machine Learning
- Physics-Informed Neural Networks (PINNs)
- Neural Operators
- High Performance Computing (HPC)
🌍 Location: Algeria
Applied Mathematics
├── Nonlinear PDEs
├── Fluid Dynamics
├── Mathematical Biology
├── Dynamical Systems
└── Fractional Calculus
Scientific Computing
├── Numerical Simulation
├── HPC
├── Parallel Computing
└── Computational Modeling
AI for Science
├── PINNs
├── Neural Operators
├── Scientific ML
└── Deep Learning for PDEs
- Physics-Informed Neural Networks (PINNs)
- Neural Operators for PDEs
- Numerical Simulation of Fluid Flows
- HBV and HIV Mathematical Models
- Stability Analysis of Dynamical Systems
- Delay Differential Equations
- Scientific Computing with Python and C++
- AI-Assisted Scientific Discovery
| Field | Topics |
|---|---|
| Partial Differential Equations | Nonlinear PDEs, Reaction-Diffusion Systems |
| Fluid Mechanics | Navier-Stokes Equations, Flow Simulation |
| Mathematical Biology | HBV, HIV, Tumor Growth Models |
| Numerical Analysis | Finite Difference, Finite Element Methods |
| Scientific Machine Learning | PINNs, Neural Operators |
| Scientific Computing | HPC, Parallel Algorithms |
- Develop novel numerical methods for PDEs
- Advance Scientific Machine Learning techniques
- Bridge mathematical theory and AI
- Build open-source scientific software
- Contribute to computational mathematics research
- GitHub: https://github.com/hambroukrichard/hambroukrichard
- Google Scholar: ...
- ResearchGate: ...
- ORCID: ...
- LinkedIn: ...