NeuralOperators

NeuralOperators.jl is a package written in Julia to provide the architectures for learning mapping between function spaces, and learning grid invariant solution of PDEs.

Installation

On Julia 1.10+, you can install NeuralOperators.jl by running

import Pkg
Pkg.add("NeuralOperators")

Currently provided operator architectures are :

Reproducibility

The documentation of this SciML package was built using these direct dependencies,
Status `~/_work/NeuralOperators.jl/NeuralOperators.jl/docs/Project.toml`
  [cbdf2221] AlgebraOfGraphics v0.13.2
  [336ed68f] CSV v1.1.0
  [13f3f980] CairoMakie v0.15.15
  [124859b0] DataDeps v1.0.0
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  [e30172f5] Documenter v1.19.0
  [d7ba0133] Git v1.5.0
  [b2108857] Lux v1.31.4
  [23992714] MAT v0.12.1
  [f1d291b0] MLUtils v0.4.13
  [ea5c82af] NeuralOperators v0.7.4 `.`
  [3bd65402] Optimisers v0.4.9
  [3c362404] Reactant v0.2.292
  [6c6a2e73] Scratch v1.3.0
  [de0858da] Printf v1.11.0
and using this machine and Julia version.
Julia Version 1.13.1
Commit 96ca370cf0e (2026-09-25 19:34 UTC)
Build Info:
  Official https://julialang.org release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 112 × AMD EPYC 7663 56-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-20.1.8 (ORCJIT, znver3)
  GC: Built with stock GC
Threads: 1 default, 1 interactive, 1 GC (on 4 virtual cores)
Environment:
  JULIA_CPU_THREADS = 4
  JULIA_NUM_PRECOMPILE_TASKS = 4
A more complete overview of all dependencies and their versions is also provided.
Status `~/_work/NeuralOperators.jl/NeuralOperators.jl/Manifest.toml`
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  [8e850ede] nghttp2_jll v1.67.1+0
  [3f19e933] p7zip_jll v17.8.2+0
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`

You can also download the manifest file and the project file.