:rocket: Julia package for orthogonal polynomial transforms :snowboarder:

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

Direct solution of large sparse systems of linear algebraic equations in pure Julia

An optimized graphs package for the Julia programming language

Mathematical functions related to statistics.

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.

Error propagation calculator and library for physical measurements. It supports real and complex numbers with uncertainty, arbitrary precision calculations, operations with arrays, and numerical integration.

Abstract julia interfaces for working with trees

A Julia package for defining and working with linear maps, also known as linear transformations or linear operators acting on vectors. The only requirement for a LinearMap is that it can act on a vector (by multiplication) efficiently.

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

BlockArrays for Julia

Julia's TetGen wrapper

Computing reachable states of dynamical systems in Julia

Fast, SIMD-accelerated extended-precision arithmetic for Julia

Flexible and performant GEMM kernels in Julia

Sparse tensors in Julia and more! Datastructure-driven array programing language.

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Grid-based approximation of partial differential equations in Julia

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

Flexible filtering and smoothing in Julia

Algebraic Multigrid in Julia

Taylor-mode automatic differentiation for higher-order derivatives

Julia package for function approximation

Generic abstract algebra functionality in pure Julia (no C dependencies)

Computational algebraic number theory

TimeArrays simplifies working with time series data. It offers features like basic math operations, sliding window techniques, data resampling, and handling of missing values

Fast and automatic structural identifiability software for ODE systems

A fully `Distributions.jl`-compliant copula package

Building dynamical systems compositionally

Library for validated numerics using interval arithmetic

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

Solution of Lyapunov, Sylvester and Riccati matrix equations using Julia

Random matrices package for Julia

Makie plotting recipes for Gridap

A Julia package for strided array views and efficient manipulations thereof

Add virtual padding to the edges of an array

A package for representing quasi arrays with continuous indices

Julia package for tensor contractions and related operations

An optimized graphs package for the Julia programming language