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SciML is an open-source ecosystem for scientific machine learning and differentiable programming, unified around Julia-based tools for solving differential equations and physics-informed AI. It provides modular solvers (DifferentialEquations.jl for ODEs/SDEs/DDEs/DAEs and related tools like NonlinearSolve.jl, Optimization.jl) and model discovery/estimation (DiffEqParamEstim.jl, DiffEqBayes.jl) plus ML-accelerated methods (PINNs via NeuralPDE.jl, DeepBSDE, etc.) with support for distributed and GPU computing. It supports multi-language use via Python and R bridges (diffeqpy, diffeqr) and maintains a large, active community with comprehensive documentation, benchmarks, and collaboration channels.
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