Dependency Packages
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NeuralNetDiffEq.jl755Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
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DiffEqTutorials.jl694Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
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Gridap.jl539Grid-based approximation of partial differential equations in Julia
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ApproxFun.jl486Julia package for function approximation
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Stheno.jl324Probabilistic Programming with Gaussian processes in Julia
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DiffEqOperators.jl279Linear operators for discretizations of differential equations and scientific machine learning (SciML)
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DiffEqSensitivity.jl248A component of the DiffEq ecosystem for enabling sensitivity analysis for scientific machine learning (SciML). Optimize-then-discretize, discretize-then-optimize, adjoint methods, and more for ODEs, SDEs, DDEs, DAEs, etc.
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BifurcationKit.jl240A Julia package to perform Bifurcation Analysis
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Kinetic.jl96Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
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EconPDEs.jl91Solve forward-looking PDEs (e.g. HJB equations).
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OrbitalTrajectories.jl74OrbitalTrajectories.jl is a modern orbital trajectory design, optimisation, and analysis library for Julia, providing methods and tools for designing spacecraft orbits and transfers via high-performance simulations of astrodynamical models.
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GridapDistributed.jl70Parallel distributed-memory version of Gridap
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ClimaCore.jl59CliMA model dycore
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AtomicGraphNets.jl58Atomic graph models for molecules and crystals in Julia
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SingularIntegralEquations.jl57Julia package for solving singular integral equations
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BlockBandedMatrices.jl56A Julia package for representing block-banded matrices and banded-block-banded matrices
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ReactionMechanismSimulator.jl54The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms
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BEAST.jl44Boundary Element Analysis and Simulation Toolkit
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ClimaAtmos.jl43ClimaAtmos.jl is a library for building atmospheric circulation models that is designed from the outset to leverage data assimilation and machine learning tools. We welcome contributions!
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GeometricIntegrators.jl42Geometric Numerical Integration in Julia
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GridapMakie.jl33Makie plotting recipes for Gridap
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ClassicalOrthogonalPolynomials.jl33A Julia package for classical orthogonal polynomials and expansions
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GridapODEs.jl33Time stepping for Gridap
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NonlinearSchrodinger.jl33A suite of tools for solving Nonlinear Schrodinger equations via higher-order algorithms and Darboux transformations.
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PDSampler.jl31Piecewise Deterministic Sampler library (Bouncy particle sampler, Zig Zag sampler, ...)
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GridapGmsh.jl30Gmsh generated meshes for Gridap
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InfiniteLinearAlgebra.jl30A Julia repository for linear algebra with infinite matrices
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ODINN.jl27Global glacier model using Universal Differential Equations for climate-glacier interactions
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GridapEmbedded.jl27Embedded finite element methods in Julia
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BifurcationInference.jl26Learning state-space targets in dynamical systems
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GridapPETSc.jl26Provides PETSc solvers to the Gridap project
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TurbulenceConvection.jl24-
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HarmonicOrthogonalPolynomials.jl24A Julia package for working with spherical harmonic expansions
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ContinuumArrays.jl22A package for representing quasi arrays with continuous indices
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FrameFun.jl21Exploring practical possibilities of approximating functions with frames rather than with a basis
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FluxReconstruction.jl18Flux reconstruction method for advection-diffusion type physics
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PDENLPModels.jl18A NLPModel API for optimization problems with PDE-constraints
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EffectiveWaves.jl17A package to calculate ensemble averaged waves in heterogeneous materials. The focus is on wave propagation, scattering, and reflection, from particulate and porous materials.
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CompactBases.jl16Julia library for function approximation with compact basis functions
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NeutronTransport.jl16Method of Characteristics neutral particle transport code for reactor physics written in Julia.
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