High order and sparse layers in pytorch. Lagrange Polynomial, Piecewise Lagrange Polynomial, Piecewise Discontinuous Lagrange Polynomial (Chebyshev nodes) and Fourier Series layers of arbitrary order. Piecewise implementations could be thought of as a 1d grid (for each neuron) where each grid element is Lagrange polynomial. Both full connected a…

HOHQMesh.jl is a Julia wrapper for the HOHQMesh mesh generator, which allows to produce curved quadrilateral and hexahedral meshes for high-order numerical simulations.

a unified cross-architecture heterogeneous CFD solver

This package is dedicated to high-order optimization methods. All the methods can be used similarly to standard PyTorch optimizers.

The open-source CFD code called BROADCAST discretises the compressible Navier-Stokes equations and then extracts the linearised N-derivative operators through Algorithmic Differentiation (AD) providing a toolbox for laminar flow dynamics.

ASTR: A high-order FDM solver for turbulence and combustion

GHOST: Generalized High-Order Solver Toolbox

Implementation of sum factorization for isogeometric analysis

Implicit representation of various things using PyTorch and high order layers

A lightweight discontinuous Galerkin code for teaching and prototyping. To cite this Original Software Publication: https://www.sciencedirect.com/science/article/pii/S235271102200005X

C++ Sample Code for demonstrating the accuracy of different integration schemes. This code is the sample code used in the following article:

This repository contains C/C++ code related to the projects of the CFD related disciplines: CC-297, CC-298 and CC-299.

Real-space grid Density Functional Theory for large systems

Scalable C++ least-squares finite element method framework

Python code for High-order Finite Volume Method

A two-dimensional nodal discontinuous Galerkin solver for the non-linear Euler equations with different boundary conditions.

Official code repo for ACL 2023 CRFIE.

Experiments in language interpolation with high order sparse neural networks

Julia package that adds Legendre-Gauss-Lobatto (LGL) or Legendre-Gauss (LG) nodes for arbitrary order spectral elements to a linear 2D or 3D GMSH grid

This is an extension of an in-house DG-FEM code in order to handle open boundaries.