A flexible framework for solving PDEs with modern spectral methods.

[NeurIPS'21] Shape As Points: A Differentiable Poisson Solver

High performance computational platform in Python for the spectral Galerkin method

Tools for building fast, hackable, pseudospectral partial differential equation solvers on periodic domains

Rust Scientific Libary. ODE and DAE (Runge-Kutta) solvers. Special functions (Bessel, Elliptic, Beta, Gamma, Erf). Linear algebra. Sparse solvers (MUMPS, UMFPACK). Probability distributions. Tensor calculus.

Efficient Differentiable n-d PDE Solvers in JAX.

Implementation of Directional Graph Networks in PyTorch and DGL

Comparison of various numerical methods for computational fluid dynamics

Spectral Methods in Python

Systems Neuroscience Computing in Python: user-friendly analysis of large-scale electrophysiology data

matrix square root and its gradient

Pseudospectral Kolmogorov Flow Solver

Fast superresolution frequency detection using MUSIC algorithm

[WWW 2023] "Addressing Heterophily in Graph Anomaly Detection: A Perspective of Graph Spectrum" by Yuan Gao, Xiang Wang, Xiangnan He, Zhenguang Liu, Huamin Feng, Yongdong Zhang

GARNET: Reduced-Rank Topology Learning for Robust and Scalable Graph Neural Networks

Direct Numerical Simulation of Fluid Flow with IBM Using Python

Building blocks of spectral methods for Julia.

Density Functional Theory with plane waves basis, applied on a 'quantum dot'. Volumetric visualization of orbitals with VTK

Spectral orientation fabric model for polycrystalline materials

ManifoldEM Python suite

Solving Poisson equation using a spectral method, also introducing VTK which will probably be used for other projects

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.

PySpectral is a Python package for solving the partial differential equation (PDE) of Burgers' equation in its deterministic and stochastic version.

Set of modern Fortran numerical methods.

Runge-Kutta adaptive-step solvers for nonlinear PDEs. Solvers include both exponential time differencing and integrating factor methods.

Polynomial bases for spectral element methods.

Implementation of Joint Spectral Correspondence for matching the images with disparate appearance arising from factors like dramatic illumination (day vs. night), age (historic vs. new) and rendering style differences.

Spectral methods in matlab

3D Spectral boundary integral solver for cell-scale blood flow

2D Navier-Stokes solver for the square cavity flow using a spectral collocation method