Tool Chain for Physicists
There are some useful tools (Packages) that will help you work with Julia in Physics, but you might want to find what you want first in Julia.jl.
Julia.jl Curated decibans of Julia language.
Tensor Operations and Linear Algebra
Tensor Basics
TensorOperations Julia package for tensor contractions and related operations
Einsum.jl Einstein summation notation in Julia
CuArrays.jl A Curious Cumulation of CUDA Cuisine
StaticArrays.jl Statically sized arrays for Julia
LuxurySparse.jl High performance extensions for sparse matrices.
Large Sparse Matrix Eigensolvers
IterativeSolvers.jl Iterative algorithms for solving linear systems, eigensystems, and singular value problems
KrylovKit.jl A Julia package collecting a number of Krylov-based algorithms for linear problems, singular value and eigenvalue problems and the application of functions of linear maps or operators to vectors.
JacobiDavidson.jl An implementation of Jacobi-Davidson in Julia.
ArnoldiMethod.jl The Implicitly Restarted Arnoldi Method, natively in Julia.
Krylov.jl: part of the JuliaSmoothOptimizers organisation, solves linear systems and least square problems, specific for linear operators from LinearOperators.jl.
KrylovMethods.jl: specific for sparse matrices
Others
Expokit.jl This package provides Julia implementations of some routines contained in EXPOKIT.
ExpmV.jl This is a Julia translation of the MATLAB implementation of Al-Mohy and Higham's function for computing expm(tA)v when A is sparse, without explicitly computing expm(A).
JuMP.jl Modeling language for Mathematical Optimization (linear, mixed-integer, conic, semidefinite, nonlinear)
LowRankModels.jl LowRankModels.jl is a julia package for modeling and fitting generalized low rank models.
Mathematics and Physics
Cliffords.jl Efficient calculation of Clifford circuits in Julia.
StatsBase.jl StatsBase.jl is a Julia package that provides basic support for statistics.
Symata.jl language for symbolic mathematics
Yao.jl Extensible, Efficient Quantum Algorithm Design for Humans.
QuantumLab.jl A workbench for Quantum Chemistry and Quantum Physics in Julia
QuantumOptics.jl Library for the numerical simulation of closed as well as open quantum systems.
Deep Learning
Frameworks
Knet.jl Koç University deep learning framework.
TensorFlow.jl A Julia wrapper for TensorFlow
MXNet.jl MXNet Julia Package - flexible and efficient deep learning in Julia
Auto Differentiation
ForwardDiff.jl Forward Mode Automatic Differentiation for Julia
ReverseDiffSource.jl Reverse automated differentiation from source
AutoDiffSource.jl Julia automatic differentiation with source code transformation
Others
MLKernels.jl A Julia package for Mercer kernel functions (or the covariance functions used in Gaussian processes) that are used in the kernel methods of machine learning
Data Science
Data Structure
LightGraphs.jl An optimized graphs package for Julia
AbstractTrees.jl Abstract julia interfaces for working with trees
Dendriform.jl Dendriform di-algebra algorithms to compute using Loday's arithmetic on groves of planar binary trees.
Data Compression and Storage
JLD.jl Saving and loading julia variables while preserving native types
JLD2.jl HDF5-compatible file format in pure Julia
Data Visualization
Interact.jl Interactive widgets to play with your Julia code
Plots.jl Powerful convenience for Julia visualizations and data analysis
PyPlot.jl This module provides a Julia interface to the Matplotlib plotting library from Python, and specifically to the matplotlib.pyplot module.
Other Developer's Tools
BenchmarkTools.jl BenchmarkTools makes performance tracking of Julia code easy by supplying a framework for writing and running groups of benchmarks as well as comparing benchmark results.
PackageCompiler.jl Compile your Julia Package
StatProfilerHTML.jl Show Julia profiling data in an explorable HTML page
Cxx.jl The Julia C++ Interface
PyCall.jl This package provides the ability to directly call and fully interoperate with Python from the Julia language.
Lazy.jl provides Julia with the cornerstones of functional programming