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.

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"

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

Transmission-line Modeling Method applied to BioHeat Transfer Problems

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

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

Object-oriented constructor of finite difference schemes

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

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

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

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

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.

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.