A Physics-Informed Neural Network to solve 2D steady-state heat equations.
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Updated
Aug 31, 2025 - Jupyter Notebook
A Physics-Informed Neural Network to solve 2D steady-state heat equations.
Notes and examples on how to solve partial differential equations with numerical methods, using Python.
C++/CUDA implementation of the most popular hyperbolic and parabolic PDE solvers
A Finite Difference Method Engine in C++
Finite-Difference Approximations to the Heat Equation. Implementation of schemes: Forward Time, Centered Space; Backward Time, Centered Space; Crank-Nicolson.
Computational Methods for Numerical Analysis
Image restoration by PDE and by Wavelet transform
Two solutions, written in MATLAB, for solving the viscous Burger's equation. They are both spectral methods: the first is a Fourier Galerkin method, and the second is Collocation on the Tchebyshev-Gauß-Lobatto points.
In numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems. The implementation of a numerical method with an appropriate convergence check in a programming language is called a numerical algorithm
Heat Equation using different solvers (Jacobi, Red-Black, Gaussian) in C using different paradigms (sequential, OpenMP, MPI, CUDA) - Assignments for the Concurrent, Parallel and Distributed Systems course @ UPC 2013
Applying the finite-difference method to the Convection Diffusion equation in python3. Examples included: One dimensional Heat equation, Transport equation, Fokker-Plank equation and some two dimensional examples.
2D heat equation solver
Numerical Analysis Problems and Solutions
Numerical Method for Solving Basic PDE
Sub-package of spatstat containing code for linear networks
Lab exercises of Parallel Processing Systems course in NTUA
Solution of 1D and 2D PDEs using Physics Informed Neural Networks (PINNs)
Image inpainting algorithm based on two methods: Interpolation and Diffusion through the resolution of a linear PDE. This was my project for the Numerical Methods class held at the Univeristy of Bologna, Italy.
Crank-Nicolson method for the heat equation in 2D
A Maxima package to compute Fourier series and solve partial differential equations.
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