EarthSciMLBase: Utilities for Symbolic Earth Science Modeling and Machine Learning

This package contains utilities for constructing Earth Science models in Julia using ModelingToolkit.jl.

Installation

using Pkg
Pkg.add("EarthSciMLBase")

Feature Summary

This package contains types and functions designed to simplify the process of constructing and composing symbolically-defined Earth Science model components together.

Feature List

Operations to compose ModelingToolkit.jl equation systems together.
Operations to add initial and boundary conditions to systems and to turn ODE systems into PDE systems, and to provide coordinate transformations.
Operations to add Advection terms to systems.
A Simulator type for running large-scale simulations.

Contributing

Please refer to the SciML ColPrac: Contributor's Guide on Collaborative Practices for Community Packages for guidance on PRs, issues, and other matters relating to contributing.

Reproducibility

The documentation of this EarthSciML package was built using these direct dependencies,

Status `~/work/EarthSciMLBase.jl/EarthSciMLBase.jl/docs/Project.toml`
  [13f3f980] CairoMakie v0.15.8
  [479239e8] Catalyst v15.0.11 `~/.julia/dev/Catalyst`
  [0c46a032] DifferentialEquations v7.17.0
  [e30172f5] Documenter v1.16.1
  [5b8099bc] DomainSets v0.7.16
  [06fc5a27] DynamicQuantities v1.11.0
  [e53f1632] EarthSciMLBase v0.25.1 `~/work/EarthSciMLBase.jl/EarthSciMLBase.jl`
  [1ecd5474] GraphMakie v0.6.3
⌅ [fa8bd995] MetaGraphsNext v0.7.5
  [961ee093] ModelingToolkit v11.10.0
  [91a5bcdd] Plots v1.41.5
  [0c5d862f] Symbolics v7.14.0
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated`

and using this machine and Julia version.

Julia Version 1.12.5
Commit 5fe89b8ddc1 (2026-02-09 16:05 UTC)
Build Info:
  Official https://julialang.org release
Platform Info:
  OS: Linux (x86_64-linux-gnu)
  CPU: 4 × AMD EPYC 7763 64-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-18.1.7 (ORCJIT, znver3)
  GC: Built with stock GC
Threads: 1 default, 1 interactive, 1 GC (on 4 virtual cores)
Environment:
  JULIA_NO_VERIFY_HOSTS = gaftp.epa.gov

A more complete overview of all dependencies and their versions is also provided.

Status `~/work/EarthSciMLBase.jl/EarthSciMLBase.jl/docs/Manifest.toml`
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  [79e6a3ab] Adapt v4.4.0
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  [7227322d] BoundaryValueDiffEqAscher v1.9.1
  [56b672f2] BoundaryValueDiffEqCore v1.12.1
  [85d9eb09] BoundaryValueDiffEqFIRK v1.10.1
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.10.1
  [9255f1d6] BoundaryValueDiffEqMIRKN v1.9.1
  [ed55bfe0] BoundaryValueDiffEqShooting v1.10.1
  [70df07ce] BracketingNonlinearSolve v1.7.0
  [fa961155] CEnum v0.5.0
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  [96374032] CRlibm v1.0.2
  [159f3aea] Cairo v1.1.1
  [13f3f980] CairoMakie v0.15.8
  [479239e8] Catalyst v15.0.11 `~/.julia/dev/Catalyst`
  [d360d2e6] ChainRulesCore v1.26.0
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  [c3611d14] ColorVectorSpace v0.11.0
  [5ae59095] Colors v0.13.1
⌅ [861a8166] Combinatorics v1.0.2
  [38540f10] CommonSolve v0.2.6
  [bbf7d656] CommonSubexpressions v0.3.1
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  [459566f4] DiffEqCallbacks v4.12.0
  [77a26b50] DiffEqNoiseProcess v5.27.0
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
  [0c46a032] DifferentialEquations v7.17.0
  [a0c0ee7d] DifferentiationInterface v0.7.16
  [8d63f2c5] DispatchDoctor v0.4.28
  [31c24e10] Distributions v0.25.123
  [ffbed154] DocStringExtensions v0.9.5
  [e30172f5] Documenter v1.16.1
  [5b8099bc] DomainSets v0.7.16
  [7c1d4256] DynamicPolynomials v0.6.4
  [06fc5a27] DynamicQuantities v1.11.0
  [e53f1632] EarthSciMLBase v0.25.1 `~/work/EarthSciMLBase.jl/EarthSciMLBase.jl`
  [4e289a0a] EnumX v1.0.6
  [f151be2c] EnzymeCore v0.8.18
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  [c145ed77] GenericSchur v0.5.6
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  [d7ba0133] Git v1.5.0
  [1ecd5474] GraphMakie v0.6.3
  [a2bd30eb] Graphics v1.1.3
  [86223c79] Graphs v1.13.4
  [3955a311] GridLayoutBase v0.11.2
  [42e2da0e] Grisu v1.0.2
  [19dc6840] HCubature v1.8.0
  [cd3eb016] HTTP v1.10.19
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  [3263718b] ImplicitDiscreteSolve v1.7.0
  [9b13fd28] IndirectArrays v1.0.0
  [d25df0c9] Inflate v0.1.5
  [22cec73e] InitialValues v0.3.1
  [18e54dd8] IntegerMathUtils v0.1.3
  [de52edbc] Integrals v4.10.0
  [a98d9a8b] Interpolations v0.16.2
  [d1acc4aa] IntervalArithmetic v1.0.2
  [8197267c] IntervalSets v0.7.13
  [3587e190] InverseFunctions v0.1.17
  [92d709cd] IrrationalConstants v0.2.6
  [f1662d9f] Isoband v0.1.1
  [c8e1da08] IterTools v1.10.0
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  [1019f520] JLFzf v0.1.11
  [692b3bcd] JLLWrappers v1.7.1
  [682c06a0] JSON v1.4.0
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  [1914dd2f] MacroTools v0.5.16
  [ee78f7c6] Makie v0.24.8
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  [d0879d2d] MarkdownAST v0.1.2
  [0a4f8689] MathTeXEngine v0.6.7
  [a3b82374] MatrixFactorizations v3.1.3
  [bb5d69b7] MaybeInplace v0.1.4
  [739be429] MbedTLS v1.1.9
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⌅ [fa8bd995] MetaGraphsNext v0.7.5
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  [961ee093] ModelingToolkit v11.10.0
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  [46757867] NetworkLayout v0.4.10
  [8913a72c] NonlinearSolve v4.15.1
  [be0214bd] NonlinearSolveBase v2.11.2
  [5959db7a] NonlinearSolveFirstOrder v1.12.0
  [9a2c21bd] NonlinearSolveQuasiNewton v1.12.0
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⌅ [d236fae5] PreallocationTools v0.4.34
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  [7746bdde] Glib_jll v2.86.3+0
  [3b182d85] Graphite2_jll v1.3.15+0
  [2e76f6c2] HarfBuzz_jll v8.5.1+0
  [905a6f67] Imath_jll v3.2.2+0
  [1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
  [aacddb02] JpegTurbo_jll v3.1.4+0
  [c1c5ebd0] LAME_jll v3.100.3+0
  [88015f11] LERC_jll v4.0.1+0
  [1d63c593] LLVMOpenMP_jll v18.1.8+0
  [dd4b983a] LZO_jll v2.10.3+0
⌅ [e9f186c6] Libffi_jll v3.4.7+0
  [7e76a0d4] Libglvnd_jll v1.7.1+1
  [94ce4f54] Libiconv_jll v1.18.0+0
  [4b2f31a3] Libmount_jll v2.41.3+0
  [89763e89] Libtiff_jll v4.7.2+0
  [38a345b3] Libuuid_jll v2.41.3+0
  [856f044c] MKL_jll v2025.2.0+0
  [c8ffd9c3] MbedTLS_jll v2.28.1010+0
  [e7412a2a] Ogg_jll v1.3.6+0
  [656ef2d0] OpenBLAS32_jll v0.3.30+0
  [6cdc7f73] OpenBLASConsistentFPCSR_jll v0.3.30+0
  [18a262bb] OpenEXR_jll v3.4.4+0
  [9bd350c2] OpenSSH_jll v10.2.1+0
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [91d4177d] Opus_jll v1.6.1+0
  [36c8627f] Pango_jll v1.57.0+0
⌅ [30392449] Pixman_jll v0.44.2+0
  [c0090381] Qt6Base_jll v6.8.2+2
  [629bc702] Qt6Declarative_jll v6.8.2+1
  [ce943373] Qt6ShaderTools_jll v6.8.2+1
  [e99dba38] Qt6Wayland_jll v6.8.2+2
  [f50d1b31] Rmath_jll v0.5.1+0
  [ca45d3f4] SuiteSparse32_jll v7.12.1+0
  [fb77eaff] Sundials_jll v7.5.0+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.24.0+0
  [ffd25f8a] XZ_jll v5.8.2+0
  [f67eecfb] Xorg_libICE_jll v1.1.2+0
  [c834827a] Xorg_libSM_jll v1.2.6+0
  [4f6342f7] Xorg_libX11_jll v1.8.13+0
  [0c0b7dd1] Xorg_libXau_jll v1.0.13+0
  [935fb764] Xorg_libXcursor_jll v1.2.4+0
  [a3789734] Xorg_libXdmcp_jll v1.1.6+0
  [1082639a] Xorg_libXext_jll v1.3.8+0
  [d091e8ba] Xorg_libXfixes_jll v6.0.2+0
  [a51aa0fd] Xorg_libXi_jll v1.8.3+0
  [d1454406] Xorg_libXinerama_jll v1.1.7+0
  [ec84b674] Xorg_libXrandr_jll v1.5.6+0
  [ea2f1a96] Xorg_libXrender_jll v0.9.12+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.1+0
  [cc61e674] Xorg_libxkbfile_jll v1.1.3+0
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.6+0
  [12413925] Xorg_xcb_util_image_jll v0.4.1+0
  [2def613f] Xorg_xcb_util_jll v0.4.1+0
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.1+0
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.10+0
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.2+0
  [35661453] Xorg_xkbcomp_jll v1.4.7+0
  [33bec58e] Xorg_xkeyboard_config_jll v2.44.0+0
  [c5fb5394] Xorg_xtrans_jll v1.6.0+0
  [3161d3a3] Zstd_jll v1.5.7+1
  [35ca27e7] eudev_jll v3.2.14+0
  [214eeab7] fzf_jll v0.61.1+0
  [9a68df92] isoband_jll v0.2.3+0
  [a4ae2306] libaom_jll v3.13.1+0
  [0ac62f75] libass_jll v0.17.4+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [2db6ffa8] libevdev_jll v1.13.4+0
  [f638f0a6] libfdk_aac_jll v2.0.4+0
  [36db933b] libinput_jll v1.28.1+0
  [b53b4c65] libpng_jll v1.6.55+0
  [075b6546] libsixel_jll v1.10.5+0
  [f27f6e37] libvorbis_jll v1.3.8+0
  [c5f90fcd] libwebp_jll v1.6.0+0
  [009596ad] mtdev_jll v1.1.7+0
  [1317d2d5] oneTBB_jll v2022.0.0+1
⌅ [1270edf5] x264_jll v10164.0.1+0
  [dfaa095f] x265_jll v4.1.0+0
  [d8fb68d0] xkbcommon_jll v1.13.0+0
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [8bf52ea8] CRC32c v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.7.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [ac6e5ff7] JuliaSyntaxHighlighting v1.12.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.12.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [a63ad114] Mmap v1.11.0
  [ca575930] NetworkOptions v1.3.0
  [44cfe95a] Pkg v1.12.1
  [de0858da] Printf v1.11.0
  [3fa0cd96] REPL v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [1a1011a3] SharedArrays v1.11.0
  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.12.0
  [f489334b] StyledStrings v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.3.0+1
  [deac9b47] LibCURL_jll v8.15.0+0
  [e37daf67] LibGit2_jll v1.9.0+0
  [29816b5a] LibSSH2_jll v1.11.3+1
  [14a3606d] MozillaCACerts_jll v2025.11.4
  [4536629a] OpenBLAS_jll v0.3.29+0
  [05823500] OpenLibm_jll v0.8.7+0
  [458c3c95] OpenSSL_jll v3.5.4+0
  [efcefdf7] PCRE2_jll v10.44.0+1
  [bea87d4a] SuiteSparse_jll v7.8.3+2
  [83775a58] Zlib_jll v1.3.1+2
  [8e850b90] libblastrampoline_jll v5.15.0+0
  [8e850ede] nghttp2_jll v1.64.0+1
  [3f19e933] p7zip_jll v17.7.0+0
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`

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