Nemocas/AbstractAlgebra.jl
Generic abstract algebra functionality in pure Julia (no C dependencies)
gridap/Gridap.jl
Grid-based approximation of partial differential equations in Julia
trixi-framework/Trixi.jl
Trixi.jl: Adaptive high-order numerical simulations of conservation laws in Julia
SciML/OrdinaryDiffEq.jl
High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
JuliaHomotopyContinuation/HomotopyContinuation.jl
A Julia package for solving systems of polynomials via homotopy continuation.
QuantumSavory/QuantumSavory.jl
A full stack simulator of quantum hardware, from the low-level analog physics to high-level network dynamics. Includes discrete event simulator, symbolic representation for quantum object, and works with many backend simulators.
jump-dev/JuMP.jl
Modeling language for Mathematical Optimization (linear, mixed-integer, conic, semidefinite, nonlinear)
JuliaHealth/KomaMRI.jl
Koma is a GPU-accelerated, Pulseq-compatible framework for simulating Magnetic Resonance Imaging (MRI) acquisitions. The primary focus of this package is to simulate the wide range of scenarios encountered during pulse sequence development.
JuliaSymbolics/Symbolics.jl
Symbolic programming for the next generation of numerical software
JuliaStats/MixedModels.jl
A Julia package for fitting (statistical) mixed-effects models
oscar-system/Oscar.jl
A comprehensive open source computer algebra system for computations in algebra, geometry, and number theory.
astroautomata/SymbolicRegression.jl
Distributed High-Performance Symbolic Regression in Julia
QuantumSavory/QuantumSymbolics.jl
Computer algebra tools for symbolic manipulations in quantum mechanics and quantum information
QuantumSavory/QuantumClifford.jl
Clifford circuits, graph states, and other quantum Stabilizer formalism tools.