There are 2 repositories under probabilistic-numerics topic.
Probabilistic Numerics in Python.
Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing
IterGP: Computation-Aware Gaussian Process Inference (NeurIPS 2022)
Probabilistic solvers for differential equations in JAX. Adaptive ODE solvers with calibration, state-space model factorisations, and custom information operators. Compatible with the broader JAX scientific computing ecosystem.
Physics-Enhanced Regression for Initial Value Problems
Code for the Paper "Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers"
Python tools for solving data-constrained finite element problems
Probabilistic numerical finite differences. Compute finite difference weights and differentiation matrices on scattered data sites and with out-of-the-box uncertainty quantification.
Computation-Aware Kalman Filtering and RTS Smoothing
Information and materials for Google Summer of Code participants developing for ProbNum.
Efficient SDE samplers including Gaussian-based probabilistic solvers. Written in JAX.
Evaluate the accuracy, efficiency, and uncertainty-calibration of probabilistic numerical algorithms.
Probabilistic Linear Solvers for Machine Learning (NeurIPS 2020)
Code for the paper "Computation-Aware Kalman Filtering and Smoothing"
Website of the Probabilistic Numerics community.
Practical session on implementing probabilistic linear solvers at the Probabilistic Numerics Spring School 2024
Published asv benchmark reports and database of ProbNum.
Various probabilistic numerics projects. Main one is Laplace_Approximation.
the prior distribution for probabilistic numerical methods
Numerical Integration Methods and Probabilistic Methods for generating random numbers.