Topic: differential-equations Goto Github

👇 Here are 823 public repositories matching this topic...

analysiscenter / pydens
differential-equations,PyDEns is a framework for solving Ordinary and Partial Differential Equations (ODEs & PDEs) using neural networks
Organization: analysiscenter
deep-learning neural-networks partial-differential-equations numerical-methods differential-equations solving-pdes ode ode-solver pde-solver

astusrush / amadia
differential-equations,Astus' Mathematical Display Application : A GUI for Mathematics (Calculator, LaTeX Converter, Plotter, ... )
User: astusrush
calculator plotter latex pyqt5 sympy numpy gui-application python scientific-calculator pyplot

benmoseley / fbpinns
differential-equations,Solve forward and inverse problems related to partial differential equations using finite basis physics-informed neural networks (FBPINNs)
User: benmoseley
neural-networks differential-equations domain-decomposition jax physics-informed-neural-networks pinns

bluescarni / heyoka
differential-equations,C++ library for ODE integration via Taylor's method and LLVM
User: bluescarni
Home Page: https://bluescarni.github.io/heyoka/
ode ode-solver differential-equations cpp cpp17 llvm just-in-time multiprecision extended-precision astronomy

brian-team / brian2
differential-equations,Brian is a free, open source simulator for spiking neural networks.
Organization: brian-team
Home Page: http://briansimulator.org
python neuroscience science differential-equations spiking-neural-networks biological-simulations code-generation simulation-framework brian computational-neuroscience brian2

cpmech / gosl
differential-equations,Linear algebra, eigenvalues, FFT, Bessel, elliptic, orthogonal polys, geometry, NURBS, numerical quadrature, 3D transfinite interpolation, random numbers, Mersenne twister, probability distributions, optimisation, differential equations.
User: cpmech
scientific-computing linear-algebra differential-equations sparse-systems parallel-computations computational-geometry fast-fourier-transform eigenvalues eigenvectors optimization linear-programming mersenne-twister

fancompute / wavetorch
differential-equations, 🌊 Numerically solving and backpropagating through the wave equation
Organization: fancompute
Home Page: https://advances.sciencemag.org/content/5/12/eaay6946
differential-equations pytorch recurrent-neural-network rnn time-series vowel-recognition wave-equation

fortran-foss-programmers / foodie
differential-equations,Fortran Object-Oriented Differential-equations Integration Environment, FOODIE
Organization: fortran-foss-programmers
fortran ode differential-equations runge-kutta-formulas oop numerical-methods integration

google-research / torchsde
differential-equations,Differentiable SDE solvers with GPU support and efficient sensitivity analysis.
Organization: google-research
deep-learning deep-neural-networks pytorch dynamical-systems differential-equations stochastic-processes stochastic-differential-equations stochastic-volatility-models neural-differential-equations

infiniteopt / infiniteopt.jl
differential-equations,An intuitive modeling interface for infinite-dimensional optimization problems.
Organization: infiniteopt
Home Page: https://infiniteopt.github.io/InfiniteOpt.jl/stable
optimization julia modeling-language dynamic-programming stochastic-optimization optimal-control pde-constrained-optimization nonlinear-optimization differential-equations measure-theory

jacobjinkelly / easy-neural-ode
differential-equations,Code for the paper "Learning Differential Equations that are Easy to Solve"
User: jacobjinkelly
Home Page: https://arxiv.org/abs/2007.04504
neural-ode differential-equations machine-learning jax deep-learning deep-neural-networks dynamical-systems neural-differential-equations numerical-integration ode

jonniedie / componentarrays.jl
differential-equations,Arrays with arbitrarily nested named components.
User: jonniedie
differential-equations differentialequations control-systems controls-and-dynamics controls scientific-machine-learning modeling simulation simulation-modeling dynamical-systems array named-tuples arrays machine-learning julia neural-ode neural-networks optimization modeling-language

juliareach / reachabilityanalysis.jl
differential-equations,Computing reachable states of dynamical systems in Julia
Organization: juliareach
Home Page: https://juliareach.github.io/ReachabilityAnalysis.jl/
numerical-analysis hybrid-systems formal-verification cyber-physical-systems reachability-analysis rigorous-numerics differential-equations interval-arithmetic dynamical-systems control-systems

mathlab / pina
differential-equations,Physics-Informed Neural networks for Advanced modeling
Organization: mathlab
Home Page: https://mathlab.github.io/PINA/
physics-informed-neural-networks modeling machine-learning deep-learning python pytorch differential-equations ode pde physics-informed

mitmath / 18s096sciml
differential-equations,18.S096 - Applications of Scientific Machine Learning
Organization: mitmath
scientific-machine-learning differential-equations neural-networks neural-ode partial-differential-equations sciml lecture-notes

narimiran / double_pendulum
differential-equations,Animations of random double pendulums
User: narimiran
Home Page: https://twitter.com/pendulum_bot
numpy matplotlib animation numerics numerical-methods differential-equations twitter twitter-bot python

neurodiffgym / neurodiffeq
differential-equations,A library for solving differential equations using neural networks based on PyTorch, used by multiple research groups around the world, including at Harvard IACS.
Organization: neurodiffgym
Home Page: http://pypi.org/project/neurodiffeq/
differential-equations neural-networks pytorch pde-solver odes artificial-intelligence deep-learning physics-informed-neural-networks pypi time-series

patrick-kidger / diffrax
differential-equations,Numerical differential equation solvers in JAX. Autodifferentiable and GPU-capable. https://docs.kidger.site/diffrax/
User: patrick-kidger
differential-equations jax deep-learning neural-differential-equations machine-learning dynamical-systems neural-networks equinox

patrick-kidger / neuralcde
differential-equations,Code for "Neural Controlled Differential Equations for Irregular Time Series" (Neurips 2020 Spotlight)
User: patrick-kidger
machine-learning rough-paths neural-differential-equations time-series controlled-differential-equations deep-learning deep-neural-networks pytorch dynamical-systems differential-equations

patrick-kidger / torchcde
differential-equations,Differentiable controlled differential equation solvers for PyTorch with GPU support and memory-efficient adjoint backpropagation.
User: patrick-kidger
time-series machine-learning neural-differential-equations controlled-differential-equations deep-learning deep-neural-networks pytorch dynamical-systems differential-equations neural-networks

pmichaillat / math-for-macro
differential-equations,Source files of the course "Mathematics for Macroeconomics"
User: pmichaillat
Home Page: https://pascalmichaillat.org/c3/
macroeconomics mathematics dynamic-programming differential-equations optimal-control course-material

scikit-fmm / scikit-fmm
differential-equations,scikit-fmm is a Python extension module which implements the fast marching method.
Organization: scikit-fmm
python python-extension numpy-arrays boundaries differential-equations surface-modeling surface-reconstruction scikit-fmm

sciml / catalyst.jl
differential-equations,Chemical reaction network and systems biology interface for scientific machine learning (SciML). High performance, GPU-parallelized, and O(1) solvers in open source software.
Organization: sciml
Home Page: https://docs.sciml.ai/Catalyst/stable/
differential-equations chemical-reactions reaction-network sde dsl ode gillespie-algorithm biology systems-biology rate-laws

sciml / datadrivendiffeq.jl
differential-equations,Data driven modeling and automated discovery of dynamical systems for the SciML Scientific Machine Learning organization
Organization: sciml
Home Page: https://docs.sciml.ai/DataDrivenDiffEq/stable/
differential-equations julia ode scientific-machine-learning sciml

sciml / diffeqbase.jl
differential-equations,The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
Organization: sciml
differentialequations differential-equations ode sde dae dde ordinary-differential-equations neural-differential-equations neural-ode stochastic-differential-equations delay-differential-equations differential-algebraic-equations pde partial-differential-equations sciml scientific-machine-learning hacktoberfest

sciml / diffeqbayes.jl
differential-equations,Extension functionality which uses Stan.jl, DynamicHMC.jl, and Turing.jl to estimate the parameters to differential equations and perform Bayesian probabilistic scientific machine learning
Organization: sciml
Home Page: https://docs.sciml.ai/DiffEqBayes/stable/
differential-equations stan julia ode sde dae dde ordinary-differential-equations stochastic-differential-equations neural-ode

sciml / diffeqdocs.jl
differential-equations,Documentation for the DiffEq differential equations and scientific machine learning (SciML) ecosystem
Organization: sciml
Home Page: https://docs.sciml.ai/DiffEqDocs/stable/
differential-equations sciml scientific-machine-learning physics-informed-learning ode sde dae dde neural-ode hacktoberfest

sciml / diffeqflux.jl
differential-equations,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
Organization: sciml
Home Page: https://docs.sciml.ai/DiffEqFlux/stable
neural-ode neural-sde neural-pde neural-dde neural-differential-equations stiff-ode ordinary-differential-equations stochastic-differential-equations delay-differential-equations partial-differential-equations

sciml / diffeqgpu.jl
differential-equations,GPU-acceleration routines for DifferentialEquations.jl and the broader SciML scientific machine learning ecosystem
Organization: sciml
Home Page: https://docs.sciml.ai/DiffEqGPU/stable/
gpu gpu-parallelism differentialequations differential-equations ode sde dae dde neural-ode neural-differential-equations

sciml / diffeqoperators.jl
differential-equations,Linear operators for discretizations of differential equations and scientific machine learning (SciML)
Organization: sciml
Home Page: https://docs.sciml.ai/DiffEqOperators/stable/
differential-equations differentialequations partial-differential-equations pde sde stochastic-differential-equations finite-difference-method fdm matrix-free julia

sciml / diffeqpy
differential-equations,Solving differential equations in Python using DifferentialEquations.jl and the SciML Scientific Machine Learning organization
Organization: sciml
differential-equations differentialequations sde sdes ode numba dae ordinary-differential-equations differential-algebraic-equations stochastic-differential-equations

sciml / diffeqr
differential-equations,Solving differential equations in R using DifferentialEquations.jl and the SciML Scientific Machine Learning ecosystem
Organization: sciml
differential-equations ode sde dae dde differential-algebraic-equations ordinary-differential-equations stochastic-differential-equations delay-differential-equations sciml

sciml / differentialequations.jl
differential-equations,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.
Organization: sciml
Home Page: https://docs.sciml.ai/DiffEqDocs/stable/
differential-equations differentialequations julia ode sde pde dae dde spde stochastic-processes

sciml / jumpprocesses.jl
differential-equations,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)
Organization: sciml
Home Page: https://docs.sciml.ai/JumpProcesses/stable/
gillespie ssa jump-diffusion stochastic differential-equations hybrid-differential-equation ode sde stochastic-jump-equations neural-ode

sciml / linearsolve.jl
differential-equations,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.
Organization: sciml
Home Page: https://docs.sciml.ai/LinearSolve/stable/
julia scientific-machine-learning differential-equations sciml linear-solvers amg distributed-computing factorization gpu krylov-methods

sciml / modelingtoolkit.jl
differential-equations,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
Organization: sciml
Home Page: https://mtk.sciml.ai/dev/
differential-equations ode dae ordinary-differential-equations pde sde dde stochastic-differential-equations delay-differential-equations julia

sciml / neuraloperators.jl
differential-equations,DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
Organization: sciml
Home Page: https://docs.sciml.ai/NeuralOperators/stable/
automatic-differentiation deep-learning deeponet differential-equations fourier-neural-operator fourier-transform gnn julia operator partial-differential-equations pde scientific-machine-learning

sciml / neuralpde.jl
differential-equations,Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
Organization: sciml
Home Page: https://docs.sciml.ai/NeuralPDE/stable/
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

sciml / nonlinearsolve.jl
differential-equations,High-performance and differentiation-enabled nonlinear solvers (Newton methods), bracketed rootfinding (bisection, Falsi), with sparsity and Newton-Krylov support.
Organization: sciml
Home Page: https://docs.sciml.ai/NonlinearSolve/stable/
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

sciml / ordinarydiffeq.jl
differential-equations,High performance ordinary differential equation (ODE) and differential-algebraic equation (DAE) solvers, including neural ordinary differential equations (neural ODEs) and scientific machine learning (SciML)
Organization: sciml
Home Page: https://diffeq.sciml.ai/latest/
adaptive differential-equations differentialequations event-handling hacktoberfest high-performance julia ode ordinary-differential-equations scientific-machine-learning sciml

sciml / reservoircomputing.jl
differential-equations,Reservoir computing utilities for scientific machine learning (SciML)
Organization: sciml
Home Page: https://docs.sciml.ai/ReservoirComputing/stable/
reservoir-computing echo-state-networks rnn machine-learning differential-equations scientific-machine-learning sciml julia

sciml / scimlbenchmarks.jl
differential-equations,Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
Organization: sciml
Home Page: https://docs.sciml.ai/SciMLBenchmarksOutput/stable/
differential-equations differentialequations ode sde dae neural-ode nerual-differential-equations benchmark pde partial-differential-equations

sciml / scimlbook
differential-equations,Parallel Computing and Scientific Machine Learning (SciML): Methods and Applications (MIT 18.337J/6.338J)
Organization: sciml
Home Page: https://book.sciml.ai/
differential-equations scientific-machine-learning neural-networks numerical-methods gpu-computing stiff-equations lecture-notes performance-engineering parallelism scientific-simulators

sciml / scimlsensitivity.jl
differential-equations,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.
Organization: sciml
Home Page: https://docs.sciml.ai/SciMLSensitivity/stable/
differentialequations sensitivity-analysis neural-ode adjoint backpropogation neural-sde ode sde dae dde

sciml / scimltutorials.jl
differential-equations,Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
Organization: sciml
Home Page: https://tutorials.sciml.ai
differentialequations differential-equations ode sde dae dde ordinary-differential-equations neural-differential-equations neural-ode pde

sciml / stochasticdiffeq.jl
differential-equations,Solvers for stochastic differential equations which connect with the scientific machine learning (SciML) ecosystem
Organization: sciml
stochastic-differential-equations stochastic sde sode adaptive ito stratonovich stochastic-processes noise random

sciml / sundials.jl
differential-equations,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
Organization: sciml
Home Page: https://diffeq.sciml.ai
julia sundials cvode ida ode differential-equations differentialequations ordinary-differential-equations dae differential-algebraic-equations

sciml / surrogates.jl
differential-equations,Surrogate modeling and optimization for scientific machine learning (SciML)
Organization: sciml
Home Page: https://docs.sciml.ai/Surrogates/stable/
surrogate-models surrogate-based-optimization surrogates surrogate sciml scientific-machine-learning high-performance-computing automatic-differentiation differential-equations julia

vavrines / kinetic.jl
differential-equations,Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
User: vavrines
Home Page: https://xiaotianbai.com/Kinetic.jl/dev
kinetic-theory cfd boltzmann-equation plasma finite-volume pde sciml deep-learning scientific-machine-learning finite-element-methods

vlang / vsl
differential-equations,V library to develop Artificial Intelligence and High-Performance Scientific Computations
Organization: vlang
Home Page: https://vlang.github.io/vsl
v hacktoberfest linear-algebra optimization sparse-systems computational-geometry differential-equations eigenvalues eigenvectors openblas