Mathematics Packages

Mimi.jl66Integrated Assessment Modeling Framework

GeometryBasics.jl164Basic Geometry Types

ArbNumerics.jl78Extended precision math, accurate and performant

Symbolics.jl1353Symbolic programming for the next generation of numerical software

Meshes.jl389Computational geometry in Julia

SymbolicUtils.jl537Symbolic expressions, rewriting and simplification

DifferentialEquations.jl2841Multilanguage suite for highperformance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differentialalgebraic equations (DAEs), and more in Julia.

DynamicalSystems.jl834Award winning software library for nonlinear dynamics and nonlinear timeseries analysis

Oscar.jl339A comprehensive open source computer algebra system for computations in algebra, geometry, and number theory.

QuasiMonteCarlo.jl101Lightweight and easy generation of quasiMonte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)

OrdinaryDiffEq.jl533High performance ordinary differential equation (ODE) and differentialalgebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

TensorKit.jl218A Julia package for largescale tensor computations, with a hint of category theory

Groebner.jl63Groebner bases in (almost) pure Julia

AdvancedVI.jl78Implementation of variational Bayes inference algorithms

EconPDEs.jl121Solve nonlinear HJB equations.

LinearSolve.jl244LinearSolve.jl: HighPerformance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

Roots.jl342Root finding functions for Julia

SciMLBase.jl130The Base interface of the SciML ecosystem

ManifoldsBase.jl87Basic interface for manifolds in Julia

Indicators.jl216Financial market technical analysis & indicators in Julia

GAP.jl61GAP packages for Julia integration

AlgebraOfGraphics.jl421Combine ingredients for a plot

LibCEED.jl196CEED Library: Code for Efficient Extensible Discretizations

NetworkDynamics.jl123Julia package for simulating Dynamics on Networks

DSP.jl379Filter design, periodograms, window functions, and other digital signal processing functionality

Manifolds.jl368Manifolds.jl provides a library of manifolds aiming for an easytouse and fast implementation.

JumpProcesses.jl139Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and statedependent rates and mix with differential equations and scientific machine learning (SciML)

DiffEqJump.jl139Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and statedependent rates and mix with differential equations and scientific machine learning (SciML)

ComponentArrays.jl288Arrays with arbitrarily nested named components.

GenericLinearAlgebra.jl148Generic numerical linear algebra in Julia

LinearAlgebra.jl148Generic numerical linear algebra in Julia

MKLSparse.jl52Make available to Julia the sparse functionality in MKL

ChainRulesCore.jl253ADbackend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.

ForwardDiff.jl888Forward Mode Automatic Differentiation for Julia

ChainRules.jl435Forward and reverse mode automatic differentiation primitives for Julia Base + StdLibs

StochasticDiffEq.jl248Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

SummationByPartsOperators.jl94A Julia library of summationbyparts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.

FFTW.jl269Julia bindings to the FFTW library for fast Fourier transforms

IterativeSolvers.jl401Iterative algorithms for solving linear systems, eigensystems, and singular value problems

Reduce.jl241Symbolic parser for Julia language term rewriting using REDUCE algebra
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