Projects in Awesome Lists by SciML | Ecosyste.ms: Awesome

https://github.com/sciml/differentialequations.jl

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.

dae dde delay-differential-equations differential-algebraic-equations differential-equations differentialequations dynamical-systems julia neural-differential-equations numerical ode python r scientific scientific-machine-learning sciml sde spde stochastic-differential-equations stochastic-processes

Last synced: 13 May 2025

https://github.com/SciML/DifferentialEquations.jl

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), and more in Julia.

dae dde delay-differential-equations differential-algebraic-equations differential-equations differentialequations dynamical-systems julia neural-differential-equations numerical ode python r scientific scientific-machine-learning sciml sde spde stochastic-differential-equations stochastic-processes

Last synced: 04 Apr 2025

https://github.com/sciml/scimlbook

Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)

differential-equations gpu-computing lecture-notes neural-networks neural-ode neural-sde numerical-methods parallelism performance-engineering scientific-machine-learning scientific-simulators sciml stiff-equations

Last synced: 22 Feb 2026

https://github.com/SciML/SciMLBook

Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)

differential-equations gpu-computing lecture-notes neural-networks neural-ode neural-sde numerical-methods parallelism performance-engineering scientific-machine-learning scientific-simulators sciml stiff-equations

Last synced: 04 May 2025

https://github.com/sciml/modelingtoolkit.jl

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

acausal computer-algebra dae dde delay-differential-equations differential-equations equation-based julia nonlinear-programming ode optimization ordinary-differential-equations pde scientific-machine-learning sciml sde stochastic-differential-equations symbolic symbolic-computation symbolic-numerics

Last synced: 22 May 2026

https://github.com/SciML/ModelingToolkit.jl

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

acausal computer-algebra dae dde delay-differential-equations differential-equations equation-based julia nonlinear-programming ode optimization ordinary-differential-equations pde scientific-machine-learning sciml sde stochastic-differential-equations symbolic symbolic-computation symbolic-numerics

Last synced: 27 Mar 2025

https://github.com/SciML/NeuralPDE.jl

Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation

differential-equations differentialequations machine-learning neural-differential-equations neural-network neural-networks ode ordinary-differential-equations partial-differential-equations pde pinn scientific-ai scientific-machine-learning scientific-ml sciml

Last synced: 14 Mar 2025

https://github.com/sciml/diffeqflux.jl

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

delay-differential-equations differential-equations differentialequations neural-dde neural-differential-equations neural-jump-diffusions neural-networks neural-ode neural-pde neural-sde neural-sdes ordinary-differential-equations partial-differential-equations physics-informed-learning pinn scientific-ai scientific-machine-learning scientific-ml stiff-ode stochastic-differential-equations

Last synced: 18 Feb 2026

https://github.com/SciML/DiffEqFlux.jl

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods

delay-differential-equations differential-equations differentialequations neural-dde neural-differential-equations neural-jump-diffusions neural-networks neural-ode neural-pde neural-sde neural-sdes ordinary-differential-equations partial-differential-equations physics-informed-learning pinn scientific-ai scientific-machine-learning scientific-ml stiff-ode stochastic-differential-equations

Last synced: 04 Apr 2025

https://github.com/sciml/optimization.jl

Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

algorithmic-differentiation automatic-differentiation convex-optimization derivative-free-optimization global-optimization hacktoberfest julia local-optimization mixed-integer-programming nonlinear-optimization optimization scientific-machine-learning sciml

Last synced: 01 Apr 2026

https://github.com/SciML/GalacticOptim.jl

Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

algorithmic-differentiation automatic-differentiation convex-optimization derivative-free-optimization global-optimization hacktoberfest julia local-optimization mixed-integer-programming nonlinear-optimization optimization scientific-machine-learning sciml

Last synced: 23 Mar 2025

https://github.com/SciML/Optimization.jl

Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one simple, fast, and differentiable interface.

algorithmic-differentiation automatic-differentiation convex-optimization derivative-free-optimization global-optimization hacktoberfest julia local-optimization mixed-integer-programming nonlinear-optimization optimization scientific-machine-learning sciml

Last synced: 04 May 2025

https://github.com/SciML/SciMLTutorials.jl

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

dae dde differential-equations differentialequations hacktoberfest julia neural-differential-equations neural-ode ode ordinary-differential-equations partial-differential-equations pde python r scientific-machine-learning sciml sde stochastic-differential-equations

Last synced: 09 Jul 2025

https://github.com/sciml/scimltutorials.jl

Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.

dae dde differential-equations differentialequations hacktoberfest julia neural-differential-equations neural-ode ode ordinary-differential-equations partial-differential-equations pde python r scientific-machine-learning sciml sde stochastic-differential-equations

Last synced: 11 Dec 2025

https://github.com/sciml/ordinarydiffeq.jl

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

adaptive differential-equations differentialequations event-handling hacktoberfest high-performance julia ode ordinary-differential-equations scientific-machine-learning sciml

Last synced: 10 Jul 2026

https://github.com/SciML/OrdinaryDiffEq.jl

High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)

adaptive differential-equations differentialequations event-handling hacktoberfest high-performance julia ode ordinary-differential-equations scientific-machine-learning sciml

Last synced: 22 Jul 2025

https://github.com/sciml/catalyst.jl

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

biology chemical-reactions differential-equations dsl gillespie-algorithm julia ode rate-laws reaction-network scientific-machine-learning sciml sde simulation systems-biology systems-biology-simulation

Last synced: 09 Apr 2026

https://github.com/SciML/Catalyst.jl

Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.

biology chemical-reactions differential-equations dsl gillespie-algorithm julia ode rate-laws reaction-network scientific-machine-learning sciml sde simulation systems-biology systems-biology-simulation

Last synced: 30 Mar 2025

https://github.com/sciml/datadrivendiffeq.jl

Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

differential-equations julia ode scientific-machine-learning sciml

Last synced: 24 Apr 2026

https://github.com/SciML/DataDrivenDiffEq.jl

Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization

differential-equations julia ode scientific-machine-learning sciml

Last synced: 04 May 2025

https://github.com/sciml/scimlsensitivity.jl

A 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.

adjoint backpropogation dae dde differential-equations differentialequations hacktoberfest neural-ode neural-sde ode scientific-machine-learning sciml sde sensitivity-analysis

Last synced: 28 Feb 2026

https://github.com/sciml/componentarrays.jl

Arrays with arbitrarily nested named components.

array arrays control-systems controls controls-and-dynamics differential-equations differentialequations dynamical-systems julia machine-learning modeling modeling-language named-tuples neural-networks neural-ode optimization scientific-machine-learning simulation simulation-modeling

Last synced: 22 Apr 2026

https://github.com/sciml/diffeqbase.jl

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

dae dde delay-differential-equations differential-algebraic-equations differential-equations differentialequations hacktoberfest neural-differential-equations neural-ode ode ordinary-differential-equations partial-differential-equations pde scientific-machine-learning sciml sde stochastic-differential-equations

Last synced: 28 Feb 2026

https://github.com/sciml/surrogates.jl

Surrogate modeling and optimization for scientific machine learning (SciML)

automatic-differentiation differential-equations high-performance-computing julia optimization scientific-machine-learning sciml surrogate surrogate-based-optimization surrogate-models surrogates

Last synced: 15 May 2025

https://github.com/SciML/Surrogates.jl

Surrogate modeling and optimization for scientific machine learning (SciML)

automatic-differentiation differential-equations high-performance-computing julia optimization scientific-machine-learning sciml surrogate surrogate-based-optimization surrogate-models surrogates

Last synced: 04 May 2025

https://github.com/SciML/SciMLSensitivity.jl

A 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.

adjoint backpropogation dae dde differential-equations differentialequations hacktoberfest neural-ode neural-sde ode scientific-machine-learning sciml sde sensitivity-analysis

Last synced: 04 May 2025

https://github.com/sciml/scimlbenchmarks.jl

Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

ai ai-for-science benchmark dae differential-equations differentialequations jax julia matlab nerual-differential-equations neural-ode ode partial-differential-equations pde python pytorch scientific-machine-learning sciml sde

Last synced: 08 Oct 2025

https://github.com/SciML/DiffEqBase.jl

The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems

dae dde delay-differential-equations differential-algebraic-equations differential-equations differentialequations hacktoberfest neural-differential-equations neural-ode ode ordinary-differential-equations partial-differential-equations pde scientific-machine-learning sciml sde stochastic-differential-equations

Last synced: 27 Mar 2025

https://github.com/sciml/diffeqdocs.jl

Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem

dae dde differential-equations hacktoberfest neural-ode ode physics-informed-learning scientific-machine-learning sciml sde

Last synced: 04 Sep 2025

https://github.com/sciml/diffeqgpu.jl

GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem

dae dde differential-equations differentialequations gpu gpu-parallelism neural-differential-equations neural-ode ode scientific-machine-learning sciml sde

Last synced: 04 Sep 2025

https://github.com/SciML/ComponentArrays.jl

Arrays with arbitrarily nested named components.

array arrays control-systems controls controls-and-dynamics differential-equations differentialequations dynamical-systems julia machine-learning modeling modeling-language named-tuples neural-networks neural-ode optimization scientific-machine-learning simulation simulation-modeling

Last synced: 01 Aug 2025

https://github.com/sciml/nonlinearsolve.jl

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

bracketing deep-equilibrium-models differential-equations equilibrium factorization high-performance-computing julia newton-krylov newton-method newton-raphson nonlinear-equations scientific-machine-learning sciml sparse-matrices sparse-matrix steady-state

Last synced: 05 Jun 2026

https://github.com/SciML/StochasticDiffEq.jl

Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem

adaptive differential-equations differentialequations hacktoberfest ito noise random random-differential-equations rde rode scientific-machine-learning sciml sde sode solvers stochastic stochastic-differential-equations stochastic-processes stratonovich

Last synced: 22 Jul 2025

https://github.com/SciML/DiffEqOperators.jl

Linear operators for discretizations of differential equations and scientific machine learning (SciML)

differential-equations differentialequations fdm finite-difference-method julia matrix-free neural-differential-equations neural-ode partial-differential-equations pde scientific-machine-learning sciml sde stochastic-differential-equations

Last synced: 04 May 2025

https://github.com/sciml/linearsolve.jl

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

amg differential-equations distributed-computing factorization gpu julia krylov-methods linear-algebra linear-solvers multigrid newton-krylov preconditioners scientific-machine-learning sciml

Last synced: 08 Apr 2026

https://github.com/SciML/NonlinearSolve.jl

High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.

bracketing deep-equilibrium-models differential-equations equilibrium factorization high-performance-computing julia newton-krylov newton-method newton-raphson nonlinear-equations scientific-machine-learning sciml sparse-matrices sparse-matrix steady-state

Last synced: 04 May 2025

https://github.com/sciml/datainterpolations.jl

A library of data interpolation and smoothing functions

Last synced: 04 Sep 2025

https://github.com/SciML/LinearSolve.jl

LinearSolve.jl: High-Performance Unified Interface for Linear Solvers in Julia. Easily switch between factorization and Krylov methods, add preconditioners, and all in one interface.

amg differential-equations distributed-computing factorization gpu julia krylov-methods linear-algebra linear-solvers multigrid newton-krylov preconditioners scientific-machine-learning sciml

Last synced: 04 May 2025

https://github.com/sciml/integrals.jl

A common interface for quadrature and numerical integration for the SciML scientific machine learning organization

algorithmic-differentiation automatic-differentiation differentiable-programming integration julia julia-language julialang numerical-integration quadrature scientific-machine-learning sciml

Last synced: 15 May 2025

https://github.com/SciML/DataInterpolations.jl

A library of data interpolation and smoothing functions

Last synced: 04 May 2025

https://github.com/SciML/Integrals.jl

A common interface for quadrature and numerical integration for the SciML scientific machine learning organization

algorithmic-differentiation automatic-differentiation differentiable-programming integration julia julia-language julialang numerical-integration quadrature scientific-machine-learning sciml

Last synced: 04 May 2025

https://github.com/sciml/recursivearraytools.jl

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

array recursion scientific-machine-learning sciml vector

Last synced: 12 Apr 2026

https://github.com/sciml/reservoircomputing.jl

Reservoir computing utilities for scientific machine learning (SciML)

differential-equations echo-state-networks julia machine-learning reservoir-computing rnn scientific-machine-learning sciml

Last synced: 02 Apr 2026

https://github.com/SciML/RecursiveArrayTools.jl

Tools for easily handling objects like arrays of arrays and deeper nestings in scientific machine learning (SciML) and other applications

array recursion scientific-machine-learning sciml vector

Last synced: 27 Mar 2025

https://github.com/SciML/ReservoirComputing.jl

Reservoir computing utilities for scientific machine learning (SciML)

differential-equations echo-state-networks julia machine-learning reservoir-computing rnn scientific-machine-learning sciml

Last synced: 01 May 2025

https://github.com/SciML/Sundials.jl

Julia interface to Sundials, including a nonlinear solver (KINSOL), ODE's (CVODE and ARKODE), and DAE's (IDA) in a SciML scientific machine learning enabled manner

arkode clang cvode dae differential-algebraic-equations differential-equations differentialequations hacktoberfest hybrid-differential-equation ida idas julia kinsol ode ordinary-differential-equations scientific-machine-learning sciml sensitivity-analysis sundials sundials-libraries

Last synced: 22 Jul 2025

https://github.com/sciml/scimlbase.jl

The Base interface of the SciML ecosystem

dae dde differentialequations julia ode ordinary-differential-equations scientific-machine-learning sciml sde

Last synced: 11 Apr 2026

https://github.com/sciml/modelingtoolkitstandardlibrary.jl

A standard library of components to model the world and beyond

acausal blockmodels differential-equations julia modelica ode ordinary-differential-equations scientific-computing scientific-machine-learrning sciml sde

Last synced: 01 May 2026

https://github.com/sciml/jumpprocesses.jl

Build and simulate jump equations like Gillespie simulations and jump diffusions with constant and state-dependent rates and mix with differential equations and scientific machine learning (SciML)

differential-equations gillespie hybrid-differential-equation jump-diffusion neural-differential-equations neural-ode ode scientific-ai scientific-machine-learning scientific-ml sciml sde ssa stochastic stochastic-jump-equations

Last synced: 01 Mar 2026

https://github.com/SciML/SciMLBase.jl

The Base interface of the SciML ecosystem

dae dde differentialequations julia ode ordinary-differential-equations scientific-machine-learning sciml sde

Last synced: 27 Mar 2025

https://github.com/sciml/nbodysimulator.jl

A differentiable simulator for scientific machine learning (SciML) with N-body problems, including astrophysical and molecular dynamics

algorithmic-differentiation automatic-differentiation differentiable-programming geometric-algorithms molecular-dynamics molecular-dynamics-simulation scientific-machine-learning sciml symbolic-integration

Last synced: 21 Oct 2025

https://github.com/sciml/symbolicnumericintegration.jl

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

integration julia julia-language scientific-machine-learning symbolic-regression

Last synced: 19 Jul 2025

https://github.com/sciml/preallocationtools.jl

Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes

automatic-differentiation differentiable-programming garbage-collection high-performance-computing

Last synced: 28 Jan 2026

https://github.com/sciml/colprac

Contributor's Guide on Collaborative Practices for Community Packages

best-practices community julialang

Last synced: 04 Aug 2025

https://github.com/sciml/polychaos.jl

A Julia package to construct orthogonal polynomials, their quadrature rules, and use it with polynomial chaos expansions.

differential-equations julia julia-language orthogonal-polynomials polynomial-chaos-expansions polynomials quadrature quadrature-integration quadrature-rules scientific-machine-learning uncertainty-propagation uncertainty-quantification

Last synced: 01 Aug 2025

https://github.com/SciML/LabelledArrays.jl

Arrays which also have a label for each element for easy scientific machine learning (SciML)

arrays scientific-machine-learning sciml

Last synced: 04 May 2025

https://github.com/SciML/StructuralIdentifiability.jl

Fast and automatic structural identifiability software for ODE systems

differentialequations julia parameter-estimation structural-identifiability

Last synced: 04 May 2025

https://github.com/SciML/PreallocationTools.jl

Tools for building non-allocating pre-cached functions in Julia, allowing for GC-free usage of automatic differentiation in complex codes

automatic-differentiation differentiable-programming garbage-collection high-performance-computing

Last synced: 10 Apr 2025

https://github.com/SciML/SymbolicNumericIntegration.jl

SymbolicNumericIntegration.jl: Symbolic-Numerics for Solving Integrals

integration julia julia-language scientific-machine-learning symbolic-regression

Last synced: 04 May 2025

https://github.com/sciml/structuralidentifiability.jl

Fast and automatic structural identifiability software for ODE systems

differentialequations julia parameter-estimation structural-identifiability

Last synced: 04 Apr 2025

https://github.com/sciml/quasimontecarlo.jl

Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)

julia parameter-estimation physics-informed-learning quasi-monte-carlo scientific-machine-learning sciml

Last synced: 16 May 2025

https://github.com/sciml/fenics.jl

A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language

differential-equations differentialequations fenics julia partial-differential-equations pde scientific-machine-learning sciml

Last synced: 04 Apr 2025

https://github.com/SciML/QuasiMonteCarlo.jl

Lightweight and easy generation of quasi-Monte Carlo sequences with a ton of different methods on one API for easy parameter exploration in scientific machine learning (SciML)

julia parameter-estimation physics-informed-learning quasi-monte-carlo scientific-machine-learning sciml

Last synced: 04 May 2025

https://github.com/sciml/diffeqcallbacks.jl

A library of useful callbacks for hybrid scientific machine learning (SciML) with augmented differential equation solvers

callback dae dde differential-equations julia neural-ode ode scientific-machine-learning sciml sde

Last synced: 27 Jul 2025

https://github.com/SciML/ExponentialUtilities.jl

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

differential-equations expmv expokit exponential gpu high-performance julia kiops krylov krylov-methods krylov-subspace-methods matrix-exponential matrix-exponentials scientific-machine-learning sciml

Last synced: 04 May 2025

https://github.com/sciml/exponentialutilities.jl

Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.

differential-equations expmv expokit exponential gpu high-performance julia kiops krylov krylov-methods krylov-subspace-methods matrix-exponential matrix-exponentials scientific-machine-learning sciml

Last synced: 16 May 2025

https://github.com/sciml/ellipsisnotation.jl

Julia-based implementation of ellipsis array indexing notation `..`

arrays julia julia-language julialang

Last synced: 12 Apr 2025

https://github.com/sciml/highdimpde.jl

A Julia package for Deep Backwards Stochastic Differential Equation (Deep BSDE) and Feynman-Kac methods to solve high-dimensional PDEs without the curse of dimensionality

deep-learning deepbsde differential-equations feynman-kac julia machine-learning neural-networks pde pde-solver scientific-machine-learning sciml

Last synced: 06 Apr 2025

https://github.com/sciml/scimldocs

Global documentation for the Julia SciML Scientific Machine Learning Organization

documentation julia scientific-machine-learning sciml

Last synced: 04 Sep 2025

https://github.com/sciml/multiscalearrays.jl

A framework for developing multi-scale arrays for use in scientific machine learning (SciML) simulations

automatic-differentiation dae dde differential-equations differentialequations hybrid-differential-equations julia models multiscale neural-differential-equations neural-ode ode scientific-ai scientific-machine-learning scientific-ml sciml sde

Last synced: 24 Feb 2026

https://github.com/sciml/scimlexpectations.jl

Fast uncertainty quantification for scientific machine learning (SciML) and differential equations

differential-equations differentialequations integration julia ode scientific-machine-learning sciml uncertainty-quantification uq

Last synced: 09 Sep 2025

https://github.com/sciml/cellmltoolkit.jl

CellMLToolkit.jl is a Julia library that connects CellML models to the Scientific Julia ecosystem.

cellml differential-equations julia ode physiology scientific-machine-learning sciml systems-biology

Last synced: 06 Apr 2025

https://github.com/sciml/diffeqnoiseprocess.jl

A library of noise processes for stochastic systems like stochastic differential equations (SDEs) and other systems that are present in scientific machine learning (SciML)

brownian-motion differential-equations neural-sde noise-processes scientific-machine-learning sciml sde stochastic-processes wiener-process

Last synced: 07 Apr 2026

https://github.com/sciml/delaydiffeq.jl

Delay differential equation (DDE) solvers in Julia for the SciML scientific machine learning ecosystem. Covers neutral and retarded delay differential equations, and differential-algebraic equations.

adaptive dde delay-differential-equations differential-equations differentialequations julia ode scientific-machine-learning sciml solvers stiff

Last synced: 20 Jan 2026

https://github.com/sciml/boundaryvaluediffeq.jl

Boundary value problem (BVP) solvers for scientific machine learning (SciML)

bvp differential-equations differentialequations gpu neural-bvp neural-differential-equations neural-ode scientific-machine-learning sciml

Last synced: 02 May 2026

https://github.com/SciML/GlobalSensitivity.jl

Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia

differential-equations efast global-sensitivity-analysis gsa julia julia-language julialang morris-method ode ordinary-differential-equations scientific-machine-learning sciml sensitivity-analysis sobol-method

Last synced: 04 May 2025

https://github.com/sciml/sciml.ai

The SciML Scientific Machine Learning Software Organization Website

dae dde differential-equations franklin julia julia-language julialang machine-learning neural-ode ode physics-informed-learning scientific-machine-learning sciml sde

Last synced: 05 Apr 2025

https://github.com/sciml/scimloperators.jl

SciMLOperators.jl: Matrix-Free Operators for the SciML Scientific Machine Learning Common Interface in Julia

differential-equations julia linear-algebra ode scientific-machine-learning sciml

Last synced: 04 Apr 2026

https://github.com/sciml/globalsensitivity.jl

Robust, Fast, and Parallel Global Sensitivity Analysis (GSA) in Julia

differential-equations efast global-sensitivity-analysis gsa julia julia-language julialang morris-method ode ordinary-differential-equations scientific-machine-learning sciml sensitivity-analysis sobol-method

Last synced: 05 Apr 2025

https://github.com/sciml/adtypes.jl

Repository for automatic differentiation backend types

autodiff automatic-differentiation julia

Last synced: 04 Apr 2025

https://github.com/sciml/modelingtoolkitcourse

A course on composable system modeling, differential-algebraic equations, acausal modeling, compilers for simulation, and building digital twins of real-world devices

acausal aerospace-engineering chemical-engineering component-based-modeling dae julia mechanical-engineering modelica sciml

Last synced: 17 Jan 2026

https://github.com/sciml/finitevolumemethod.jl

Solver for two-dimensional conservation equations using the finite volume method in Julia.

finite-volume-method partial-differential-equations

Last synced: 21 Oct 2025

https://github.com/SciML/DeepEquilibriumNetworks.jl

Implicit Layer Machine Learning via Deep Equilibrium Networks, O(1) backpropagation with accelerated convergence.

deep-equilibrium-models deep-learning implicit-deep-learning julia machine-learning neural-networks nonlinear-equations nonlinear-solve

Last synced: 04 May 2025

https://github.com/sciml/operatorlearning.jl

No need to train, he's a smooth operator

deeponet julia neural-operator physics-informed-ml

Last synced: 29 Jun 2025

https://github.com/sciml/muladdmacro.jl

This package contains a macro for converting expressions to use muladd calls and fused-multiply-add (FMA) operations for high-performance in the SciML scientific machine learning ecosystem

fma julia julia-language julialang muladd scientific-machine-learning sciml