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25 search results found
Differentialequations.jl
⭐
2,689
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.
Modelingtoolkit.jl
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1,292
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
Neuralpde.jl
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864
Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation
Scimltutorials.jl
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698
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
Gridap.jl
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618
Grid-based approximation of partial differential equations in Julia
Diffeqbase.jl
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282
The lightweight Base library for shared types and functionality for defining differential equation and scientific machine learning (SciML) problems
Scimlbenchmarks.jl
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279
Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R
Diffeqoperators.jl
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279
Linear operators for discretizations of differential equations and scientific machine learning (SciML)
Bifurcationkit.jl
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275
A Julia package to perform Bifurcation Analysis
Neuraloperators.jl
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206
DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
Geophysicalflows.jl
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148
Geophysical fluid dynamics pseudospectral solvers with Julia and FourierFlows.jl.
Methodoflines.jl
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144
Automatic Finite Difference PDE solving with Julia SciML
Kinetic.jl
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110
Universal modeling and simulation of fluid mechanics upon machine learning. From the Boltzmann equation, heading towards multiscale and multiphysics flows.
Tutorials
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105
Start solving PDEs in Julia with Gridap.jl
Course 101 0250 00
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101
ETH course - Solving PDEs in parallel on GPUs
Econpdes.jl
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93
Solve forward-looking PDEs (e.g. HJB equations).
Fenics.jl
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86
A scientific machine learning (SciML) wrapper for the FEniCS Finite Element library in the Julia programming language
Fractionaldiffeq.jl
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70
Solve Fractional Differential Equations using high performance numerical methods
Highdimpde.jl
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61
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
Taylordiff.jl
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58
Taylor-mode automatic differentiation for higher-order derivatives
Flowvpm.jl
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47
Meshless large eddy simulation through the reformulated vortex particle method
Jfvm.jl
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37
A simple finite volume tool for Julia
Incompressiblenavierstokes.jl
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35
Incompressible Navier-Stokes solver
Galerkinsparsegrids.jl
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29
Sparse Grid Discretization with the Discontinuous Galerkin Method for solving PDEs
Mhdflows.jl
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20
Three Dimensional Magnetohydrodynamic(MHD) pseudospectral solvers written in julia with FourierFlows.jl
Fluxreconstruction.jl
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20
flux reconstruction method for advection-diffusion type physics
Mpihaloarrays.jl
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15
An array type for MPI halo data exchange in Julia
Skeelberzins.jl
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13
Solver for 1D nonlinear partial differential equations in Julia based on the collocation method of Skeel and Berzins and using an API similar to MATLAB's pdepe
Spindoctor.jl
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13
Diffusion MRI Simulation Toolbox in Julia
Adapode.jl
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10
Adaptive P/ODE numerical solvers with Grassmann element TensorField assembly
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