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I will do mathematical modeling, simulation, and numerical analysis
PhD Mathematician, University Instructor, Computational Math
I'm a PhD researcher in Scientific Machine Learning. I build Physics-Informed Neural Networks in PyTorch when simulations run too slow or break down at the boundaries.
I also create rigorous math con...
About this Gig
Most mathematical models fail because the assumptions are wrong, or the numerical solver breaks down at the boundaries.
I am a PhD researcher in computational mathematics. I build, debug, and solve complex ODE and PDE systems for engineering and research applications.
My work focuses on the hard math behind the simulations. I don't just run software; I write the underlying equations and custom solvers when standard tools aren't enough.
What I work on:
- Ordinary and Partial Differential Equations (ODEs/PDEs)
- Heat transfer, fluid mechanics, and thermodynamics
- Chemical kinetics and reaction modeling
- Numerical methods (Finite Difference, Runge-Kutta, spectral methods)
- Parameter estimation and model calibration
What you actually get:
- The exact governing equations and boundary conditions.
- Clean, fully commented Python or MATLAB code.
- Simulation plots and convergence checks.
- A short document explaining the math.
Please note: I do not do basic calculus homework or generic data science dashboards.
Send me a message with your equations before placing an order.
My Portfolio
FAQ
What do you need from me to start?
Either the governing equations (a paper or PDF) or a clear description of the physical system. If you have experimental data for validation, include that too.
Do you use ANSYS, Fluent, or COMSOL?
No. I write custom solvers in Python or MATLAB. This gives you full control of the source code without needing expensive software licenses.
My current code or model isn't converging. Can you fix it?
Yes. Send me your current code and equations. I will find the mathematical or numerical bug and fix it.
What if I don't know the exact equations yet?
That is what the Basic package is for. I will review your problem description or literature and derive the mathematical formulation for you.
