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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ApproxFun.jl486Julia package for function approximation
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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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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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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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ReactionMechanismSimulator.jl54The amazing Reaction Mechanism Simulator for simulating large chemical kinetic mechanisms
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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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ClassicalOrthogonalPolynomials.jl33A Julia package for classical orthogonal polynomials and expansions
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PDSampler.jl31Piecewise Deterministic Sampler library (Bouncy particle sampler, Zig Zag sampler, ...)
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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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HarmonicOrthogonalPolynomials.jl24A Julia package for working with spherical harmonic expansions
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FluxReconstruction.jl18Flux reconstruction method for advection-diffusion type physics
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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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MOSLab.jl16From Semiconductor to TransistorLevel Modeling in Julia
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CompactBases.jl16Julia library for function approximation with compact basis functions
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MultivariateOrthogonalPolynomials.jl15Supports approximating functions and solving differential equations on various higher dimensional domains such as disks and triangles
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ApproxFunBase.jl13Core functionality of ApproxFun
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SimpleDifferentialOperators.jl12Library for simple upwind finite differences
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KitML.jl11Lightweight module of neural differential equations in Kinetic.jl
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MRIgeneralizedBloch.jl10-
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AtomicLevels.jl9-
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Poltergeist.jl9Julia package for transfer operator spectral methods
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NPCFs.jl9N-Point Correlation Functions in Julia
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QuantumStateDistributions.jl7Distributions for continuous variables
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KitBase.jl7Lightweight module of physical formulations in Kinetic.jl
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OrthogonalPolynomialsQuasi.jl7A package for representing orthogonal polynomials as quasi arrays
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OscillatoryIntegrals.jl7Calculate oscillatory integrals using Julia
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QuantumStateBase.jl7Quantum states for quantum optics.
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QuantumStatePlots.jl7Plot Wigner function and density matrix generated by QuantumStateBase.jl
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ApproxFunFourier.jl6Support for Fourier-based spaces in ApproxFun
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SemiseparableMatrices.jl5A Julia package to represent semiseparable and almost banded matrices
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SingularIntegrals.jl5A Julia package for computing singular integrals
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CoulombIntegrals.jl5-
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ApproxFunOrthogonalPolynomials.jl5Support for orthogonal polynomial-based spaces in ApproxFun
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