DiffEqOperators.jl
This package is in the process of being deprecated. See below for alternatives
For automated finite difference discretization of symbolically-defined PDEs, see MethodOfLines.jl.
For MatrixFreeOperators, and other non-derivative operators, see SciMLOperators.jl.
For VecJacOperators and JacVecOperators, see SparseDiffTools.jl.
DiffEqOperators.jl is a package for finite difference discretization of partial differential equations. It is for building fast lazy operators for high order non-uniform finite differences.
This library is not complete, especially for higher dimensional operators. Use with caution.
For the operators, both centered and upwind operators are provided, for domains of any dimension, arbitrarily spaced grids, and for any order of accuracy. The cases of 1, 2, and 3 dimensions with an evenly spaced grid are optimized with a convolution routine from NNlib.jl. Care is taken to give efficiency by avoiding unnecessary allocations, using purpose-built stencil compilers, allowing GPUs and parallelism, etc. Any operator can be concretized as an Array, a BandedMatrix or a sparse matrix.
Reproducibility
The documentation of this SciML package was built using these direct dependencies,
Status `~/work/DiffEqOperators.jl/DiffEqOperators.jl/docs/Project.toml`
[9fdde737] DiffEqOperators v4.45.0 `~/work/DiffEqOperators.jl/DiffEqOperators.jl`
[e30172f5] Documenter v0.27.24and using this machine and Julia version.
Julia Version 1.9.1
Commit 147bdf428cd (2023-06-07 08:27 UTC)
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: 2 × Intel(R) Xeon(R) CPU E5-2673 v4 @ 2.30GHz
WORD_SIZE: 64
LIBM: libopenlibm
LLVM: libLLVM-14.0.6 (ORCJIT, broadwell)
Threads: 1 on 2 virtual coresA more complete overview of all dependencies and their versions is also provided.
Status `~/work/DiffEqOperators.jl/DiffEqOperators.jl/docs/Manifest.toml`
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Info Packages marked with ⌃ and ⌅ have new versions available, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`