Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

Radar and DC resistivity 2.5D multi-physics inversion suite. Forward modeling, separate inversions, joint inversions.

The main project for the MATLAB / GNU Octave code of FESTUNG

Pytorch implementation of "DeepFlow: History Matching in the Space of Deep Generative Models"

All small projects that need a place to live, live here. Optimization, numerical methods, graph theory, and more.

Numerical Solutions for PDE's | Heat Equation, Poisson Equation, Wave Equation

A collection of teaching scripts showing applications of partial differential equations to traffic modeling, battery thermal modeling, diffusion, and more.

Repository for: "Agglomeration of Polygonal Grids using Graph Neural Networks with applications to Multigrid solvers"

Transmission-line Modeling Method applied to BioHeat Transfer Problems

A fast direct dense solver with machine accuracy for 2-D Laplace's equation

Object-oriented constructor of finite difference schemes

Finite difference solver for the 'Variance Gamma' partial-integro differential equation (PIDE)

Simulation of a geometrically exact beam clamped at one end and with a boundary feedback control applied at the other end. In 2021.

This Matlab code implements a branching diffusion method for solving partial differential equations (PDEs). The method uses Monte Carlo simulation and the branching process to approximate the solution of PDEs. The code provides a set of functions to calculate the mean, standard deviation, and L2 approximation error of the solution.

Hierarchical Model Reduction

PDE-based vector-valued image regularization routine.

This MATLAB code implements the classical Monte Carlo method for solving partial differential equations (PDEs). The code uses the log function of the norm of a random vector as an example PDE and computes the solution at time T=1 and initial condition x0=0.

Simulations for geometrically exact beams in different settings (e.g., validation problems, feedback stabilization problem). In 2021-2022.

Multilevel solvers for the Helmholtz equation based on the shifted Laplace preconditioner

This repository contains single-script files for mathematics and physics-related simulations in Matlab. Useful for students who are learning to program or for anyone in industry/research who needs a multi-purpose code for their particular job.