Projects in Awesome Lists tagged with differential-equations

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: 17 Dec 2024

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: 05 Nov 2024

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: 02 Dec 2024

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: 13 Nov 2024

https://github.com/cpmech/gosl

Linear algebra, eigenvalues, FFT, Bessel, elliptic, orthogonal polys, geometry, NURBS, numerical quadrature, 3D transfinite interpolation, random numbers, Mersenne twister, probability distributions, optimisation, differential equations.

computational-geometry differential-equations eigenvalues eigenvectors fast-fourier-transform linear-algebra linear-programming mersenne-twister optimization parallel-computations scientific-computing sparse-systems

Last synced: 18 Dec 2024

https://github.com/google-research/torchsde

Differentiable SDE solvers with GPU support and efficient sensitivity analysis.

deep-learning deep-neural-networks differential-equations dynamical-systems neural-differential-equations pytorch stochastic-differential-equations stochastic-processes stochastic-volatility-models

Last synced: 17 Dec 2024

https://github.com/patrick-kidger/diffrax

Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/

deep-learning differential-equations dynamical-systems equinox jax machine-learning neural-differential-equations neural-networks

Last synced: 17 Dec 2024

https://github.com/patrick-kidger/diffrax?ref=zzun.app

Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/

deep-learning differential-equations dynamical-systems equinox jax machine-learning neural-differential-equations neural-networks

Last synced: 13 Nov 2024

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: 18 Dec 2024

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: 30 Oct 2024

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: 26 Oct 2024

https://github.com/brian-team/brian2

Brian is a free, open source simulator for spiking neural networks.

biological-simulations brian brian2 code-generation computational-neuroscience differential-equations neuroscience python science simulation-framework spiking-neural-networks

Last synced: 18 Dec 2024

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: 05 Nov 2024

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: 20 Nov 2024

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: 15 Dec 2024

https://github.com/NeuroDiffGym/neurodiffeq

A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.

artificial-intelligence boundary-value-problem deep-learning differential-equations initial-value-problem mathematical-modelling neural-networks ode odes pde-solver physics-informed-neural-networks pinn pypi pytorch scientific-computing time-series

Last synced: 13 Nov 2024

https://github.com/patrick-kidger/neuralcde

Code for "Neural Controlled Differential Equations for Irregular Time Series" (Neurips 2020 Spotlight)

controlled-differential-equations deep-learning deep-neural-networks differential-equations dynamical-systems machine-learning neural-differential-equations neural-networks pytorch rough-paths time-series

Last synced: 21 Dec 2024

https://github.com/patrick-kidger/NeuralCDE

Code for "Neural Controlled Differential Equations for Irregular Time Series" (Neurips 2020 Spotlight)

controlled-differential-equations deep-learning deep-neural-networks differential-equations dynamical-systems machine-learning neural-differential-equations neural-networks pytorch rough-paths time-series

Last synced: 02 Nov 2024

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: 19 Dec 2024

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: 29 Nov 2024

https://github.com/fancompute/wavetorch

🌊 Numerically solving and backpropagating through the wave equation

differential-equations pytorch recurrent-neural-network rnn time-series vowel-recognition wave-equation

Last synced: 14 Nov 2024

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: 01 Nov 2024

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: 20 Dec 2024

https://github.com/patrick-kidger/torchcde

Differentiable controlled differential equation solvers for PyTorch with GPU support and memory-efficient adjoint backpropagation.

controlled-differential-equations deep-learning deep-neural-networks differential-equations dynamical-systems machine-learning neural-differential-equations neural-networks pytorch time-series

Last synced: 15 Dec 2024

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: 15 Dec 2024

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: 13 Nov 2024

https://github.com/vlang/vsl

V library to develop Artificial Intelligence and High-Performance Scientific Computations

computational-geometry differential-equations eigenvalues eigenvectors hacktoberfest linear-algebra openblas opencl optimization parallel-computations scientific-computing sparse-systems v

Last synced: 15 Nov 2024

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 Dec 2024

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: 13 Nov 2024

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: 13 Nov 2024

https://github.com/SciML/DiffEqSensitivity.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: 14 Dec 2024

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: 30 Oct 2024

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: 21 Dec 2024

https://github.com/mitmath/18s096sciml

18.S096 - Applications of Scientific Machine Learning

differential-equations lecture-notes neural-networks neural-ode partial-differential-equations scientific-machine-learning sciml

Last synced: 10 Nov 2024

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: 17 Dec 2024

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: 05 Dec 2024

https://github.com/jonniedie/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: 12 Oct 2024

https://github.com/jonniedie/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: 30 Oct 2024

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: 13 Nov 2024

https://github.com/scikit-fmm/scikit-fmm

scikit-fmm is a Python extension module which implements the fast marching method.

boundaries differential-equations numpy-arrays python python-extension scikit-fmm surface-modeling surface-reconstruction

Last synced: 27 Nov 2024

https://github.com/jacobjinkelly/easy-neural-ode

Code for the paper "Learning Differential Equations that are Easy to Solve"

deep-learning deep-neural-networks differential-equations dynamical-systems jax machine-learning neural-differential-equations neural-ode numerical-integration ode ode-solver

Last synced: 23 Nov 2024

https://github.com/infiniteopt/InfiniteOpt.jl

An intuitive modeling interface for infinite-dimensional optimization problems.

differential-equations dynamic-programming julia measure-theory modeling-language nonlinear-optimization optimal-control optimization pde-constrained-optimization stochastic-optimization

Last synced: 13 Nov 2024

https://github.com/pulsipher/InfiniteOpt.jl

An intuitive modeling interface for infinite-dimensional optimization problems.

differential-equations dynamic-programming julia measure-theory modeling-language nonlinear-optimization optimal-control optimization pde-constrained-optimization stochastic-optimization

Last synced: 14 Nov 2024

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: 29 Nov 2024

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: 13 Nov 2024

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: 21 Dec 2024

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: 13 Nov 2024

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: 16 Dec 2024

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: 29 Nov 2024

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: 12 Nov 2024

https://github.com/bluescarni/heyoka

C++ library for ODE integration via Taylor's method and LLVM

astrodynamics astronomy astrophysics celestial-mechanics cpp cpp17 differential-equations extended-precision just-in-time llvm multiprecision n-body nbody ode ode-solver simd

Last synced: 18 Dec 2024

https://github.com/juliareach/reachabilityanalysis.jl

Computing reachable states of dynamical systems in Julia

automatic-control control-systems cyber-physical-systems differential-equations dynamical-systems flowpipe formal-verification hybrid-systems interval-arithmetic julia numerical-analysis ode reachability-analysis rigorous-numerics set-propagation simulations verification

Last synced: 18 Dec 2024

https://github.com/JuliaReach/ReachabilityAnalysis.jl

Computing reachable states of dynamical systems in Julia

automatic-control control-systems cyber-physical-systems differential-equations dynamical-systems flowpipe formal-verification hybrid-systems interval-arithmetic julia numerical-analysis ode reachability-analysis rigorous-numerics set-propagation simulations verification

Last synced: 30 Oct 2024

https://github.com/narimiran/double_pendulum

Animations of random double pendulums

animation differential-equations matplotlib numerical-methods numerics numpy python twitter twitter-bot

Last synced: 27 Oct 2024

https://github.com/pmichaillat/math-for-macro

Source files of the course "Mathematics for Macroeconomics"

course-material differential-equations dynamic-programming macroeconomics mathematics optimal-control

Last synced: 11 Nov 2024

https://github.com/vavrines/Kinetic.jl

Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.

boltzmann-equation cfd deep-learning differential-equations finite-element-methods finite-volume fluid-dynamics julia kinetic-theory numerical-pdes pde plasma rarefied-gas-dynamics scientific-machine-learning sciml

Last synced: 13 Nov 2024

https://github.com/nathanaelbosch/probnumdiffeq.jl

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

differential-equations hacktoberfest julia ode ode-solver probabilistic-models probabilistic-numerics

Last synced: 21 Dec 2024

https://github.com/nathanaelbosch/ProbNumDiffEq.jl

Probabilistic Numerical Differential Equation solvers via Bayesian filtering and smoothing

differential-equations hacktoberfest julia ode ode-solver probabilistic-models probabilistic-numerics

Last synced: 13 Nov 2024

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: 21 Dec 2024

https://github.com/cpmech/russell

Rust Scientific Libary. ODE and DAE (Runge-Kutta) solvers. Special functions (Bessel, Elliptic, Beta, Gamma, Erf). Linear algebra. Sparse solvers (MUMPS, UMFPACK). Probability distributions. Tensor calculus.

bessel-function differential-equations eigenvalues eigenvectors gamma-function interpolation linear-algebra mathematics numerical-derivatives numerical-integration quadrature quadrature-integration rust scientific-computing sparse-matrix special-functions spectral-methods

Last synced: 15 Dec 2024

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: 22 Dec 2024

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: 22 Dec 2024

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: 13 Nov 2024

https://github.com/patrick-kidger/fasterneuraldiffeq

Code for "'Hey, that's not an ODE:' Faster ODE Adjoints via Seminorms" (ICML 2021)

controlled-differential-equations deep-learning deep-neural-networks differential-equations dynamical-systems machine-learning neural-differential-equations numerical-analysis numerical-methods ordinary-differential-equations pytorch

Last synced: 06 Dec 2024

https://github.com/juliateachingctu/scientific-programming-in-julia

Repository for B0M36SPJ

automatic-differentiation differential-equations gpu-acceleration julia julia-language julialang meta-programming parallel-programming

Last synced: 17 Dec 2024

https://github.com/scifracx/fractionaldiffeq.jl

Solve Fractional Differential Equations using high performance numerical methods

caputo differential-equations distributed-order fdde fde fractional-calculus fractional-differencing fractional-differential-equations julia matrix-discrete numerical numerical-methods ode pde riemann-liouville scientific-machine-learning

Last synced: 17 Dec 2024

https://github.com/SciFracX/FractionalDiffEq.jl

Solve Fractional Differential Equations using high performance numerical methods

caputo differential-equations distributed-order fdde fde fractional-calculus fractional-differencing fractional-differential-equations julia matrix-discrete numerical numerical-methods ode pde riemann-liouville scientific-machine-learning

Last synced: 13 Nov 2024

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: 16 Dec 2024

https://github.com/pyrates-neuroscience/pyrates

Open-source, graph-based Python code generator and analysis toolbox for dynamical systems (pre-implemented and custom models). Most pre-implemented models belong to the family of neural population models.

code-generation delayed-differential-equation differential-equations dynamical-systems fortran90 julia matlab network-simulator neural-networks numpy parameter-search python pytorch scientific-computing scientific-research simulations tensorflow

Last synced: 21 Dec 2024

https://github.com/pyrates-neuroscience/PyRates

Open-source, graph-based Python code generator and analysis toolbox for dynamical systems (pre-implemented and custom models). Most pre-implemented models belong to the family of neural population models.

code-generation delayed-differential-equation differential-equations dynamical-systems fortran90 julia matlab network-simulator neural-networks numpy parameter-search python pytorch scientific-computing scientific-research simulations tensorflow

Last synced: 12 Nov 2024

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: 15 Dec 2024

https://github.com/odinn-sciml/odinn.jl

Global glacier model using Universal Differential Equations for climate-glacier interactions

climate cryosphere differential-equations glaciers julia scientific-machine-learning sciml

Last synced: 18 Dec 2024

https://github.com/ODINN-SciML/ODINN.jl

Global glacier model using Universal Differential Equations for climate-glacier interactions

climate cryosphere differential-equations glaciers julia scientific-machine-learning sciml

Last synced: 27 Nov 2024

https://github.com/bluescarni/heyoka.py

Python library for ODE integration via Taylor's method and LLVM

astrodynamics astronomy astrophysics celestial-mechanics differential-equations extended-precision just-in-time llvm multiprecision n-body nbody ode ode-solver python python3 simd

Last synced: 21 Dec 2024

https://github.com/jacobwilliams/rklib

Fixed and variable-step Runge-Kutta solvers in Modern Fortran

differential-equations fortran fortran-package-manager ode ode-solver root-finding runge-kutta runge-kutta-adaptive-step-size runge-kutta-fehlberg

Last synced: 08 Nov 2024

https://github.com/brian-team/brian2cuda

A brian2 extension to simulate spiking neural networks on GPUs

biological-simulations brian brian2 code-generation computational-neuroscience differential-equations gpu gpu-acceleration neuroscience python science simulation simulation-framework spiking-neural-networks

Last synced: 14 Dec 2024

https://github.com/eric-bradford/ukf-snmpc

This repository contains the source code for “Unscented Kalman filter stochastic nonlinear model predictive control” (UKF-SNMPC).

casadi chemical-engineering differential-equations model-predictive-control nonlinear-optimization python27 robust-control stochastic unscented-transformation

Last synced: 03 Dec 2024

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: 15 Dec 2024

https://github.com/littleredcomputer/odex-js

Bulirsch-Stoer integration of systems of ordinary differential equations in JavaScript

differential-equations ode ode-solver odex solver

Last synced: 27 Oct 2024

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: 16 Dec 2024

https://github.com/eric-bradford/sdd-gp-mpc

This repository contains the source code for "Stochastic data-driven model predictive control using Gaussian processes" (SDD-GP-MPC).

casadi chemical-engineering constraints differential-equations gaussian-processes machine-learning model-predictive-control monte-carlo-simulation optimization-algorithms python3 state-space-model stochastic-processes

Last synced: 06 Dec 2024

https://github.com/eric-bradford/nominal_nmpc

A basic nonlinear model predictive control implementation using Casadi with Unscented Kalman filter state estimation

automatic-differentiation casadi chemical-engineering control-systems differential-equations model-predictive-control nonlinear-dynamics nonlinear-optimization python3 unscented-kalman-filter

Last synced: 06 Dec 2024

https://github.com/krichelj/pydiffgame

PyDiffGame is a Python implementation of a Nash Equilibrium solution to Differential Games, based on a reduction of Game Hamilton-Bellman-Jacobi (GHJB) equations to Game Algebraic and Differential Riccati equations, associated with Multi-Objective Dynamical Control Systems

artificial-intelligence-algorithms bellman-equation computer-science control-theory differential-equations differential-game dynamical-systems game-theory hamilton-jacobi-bellman hamiltonian inverted-pendulum matrix-equations multi-objective-optimization nash-equilibrium numerical-methods object-oriented-programming optimization-algorithms pontryagin-maximum-principle quadrotor riccati-equation