partial-differential-equations

There are 27 repositories under partial-differential-equations topic.

cantaro86 / Financial-Models-Numerical-Methods
Collection of notebooks about quantitative finance, with interactive python code.
american-options brownian-motion econometrics financial-engineering financial-mathematics fourier-inversion heston-model jump-diffusion-mertons-model jupyter-notebooks kalman-filter levy-processes linear-regression linear-systems-equations monte-carlo-methods option-pricing partial-differential-equations python quantitative-finance stochastic-differential-equations stochastic-processes
Language:Jupyter Notebook 5249
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.
differential-equations differentialequations julia ode sde pde dae dde spde stochastic-processes stochastic-differential-equations delay-differential-equations partial-differential-equations differential-algebraic-equations dynamical-systems neural-differential-equations r python scientific-machine-learning sciml
Language:Julia 2754
neuraloperator / neuraloperator
Learning in infinite dimension with neural operators.
neural-operator pde neural-operators partial-differential-equations pytorch tensor-methods fourier-neural-operator fno tensorization tensorly uno
Language:Python 1769
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
Language:Julia 899
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
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 neural-networks differentialequations differential-equations scientific-ml scientific-ai neural-jump-diffusions neural-sdes scientific-machine-learning pinn physics-informed-learning
Language:Julia 836
SciML / SciMLTutorials.jl
Tutorials for doing scientific machine learning (SciML) and high-performance differential equation solving with open source software.
differentialequations differential-equations ode sde dae dde ordinary-differential-equations neural-differential-equations neural-ode pde partial-differential-equations stochastic-differential-equations julia scientific-machine-learning sciml python r hacktoberfest
Language:CSS 707
FreeFem / FreeFem-sources
FreeFEM source code
finite-element-analysis finite-element-methods finite-elements freefem freefem-sources partial-differential-equations simulation-framework
Language:C++ 698
FEniCS / dolfinx
Next generation FEniCS problem solving environment
finite-element-methods partial-differential-equations parallel-computing fenicsx
Language:C++ 652
gridap / Gridap.jl
Grid-based approximation of partial differential equations in Julia
julia pdes partial-differential-equations finite-elements numerical-methods gridap
Language:Julia 638
pdebench / PDEBench
PDEBench: An Extensive Benchmark for Scientific Machine Learning
ai benchmark jax machine-learning pytorch scientific scientific-computing sciml simulation deep-learning fluid-dynamics navier-stokes-equations neural-networks neural-operators partial-differential-equations physics-informed-neural-networks autoregressive-models
Language:Python 613
JuliaApproximation / ApproxFun.jl
Julia package for function approximation
julia partial-differential-equations approximation
Language:Julia 519
usnistgov / fipy
FiPy is a Finite Volume PDE solver written in Python
scientific-computing scientific-computing-with-python phase-field materials-science partial-differential-equations shared-memory-parallel simulation modeling
Language:Python 468
simpeg
simpeg / simpeg
Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications.
direct-current-resistivity electromagnetics finite-volume geophysics geoscience induced-polarization inverse-problems inversion linear-algebra magnetotellurics modeling modelling multiphysics open-science optimization partial-differential-equations python richards-equation scientific-computing simulation
Language:Python 463
maroba / findiff
Python package for numerical derivatives and partial differential equations in any number of dimensions.
scientific-computing numerical-methods derivative finite-difference-coefficients finite-difference finite-differences pde partial-differential-equations
Language:Python 395
zwicker-group / py-pde
Python package for solving partial differential equations using finite differences.
dynamical-systems finite-difference-method partial-differential-equations pdes python scientific-computing
Language:Python 371
Ferrite-FEM / Ferrite.jl
Finite element toolbox for Julia
finite-elements partial-differential-equations julialang julia hacktoberfest
Language:Julia 313
mitmath / 18S096SciML
18.S096 - Applications of Scientific Machine Learning
scientific-machine-learning differential-equations neural-networks neural-ode partial-differential-equations sciml lecture-notes
Language:HTML 303
twitter-research / graph-neural-pde
Graph Neural PDEs
graph-neural-networks deep-learning graph-convolutional-networks partial-differential-equations pytorch
Language:Jupyter Notebook 300
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
Language:Julia 295
ZichaoLong / PDE-Net
PDE-Net: Learning PDEs from Data
machine-learning applied-mathematics inverse-problems data-driven-model data-assimilation system-identification partial-differential-equations numerical-methods
294
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
Language:MATLAB 289
SciML / DiffEqOperators.jl
Linear operators for discretizations of differential equations and scientific machine learning (SciML)
differential-equations differentialequations partial-differential-equations pde sde stochastic-differential-equations finite-difference-method fdm matrix-free julia neural-differential-equations neural-ode sciml scientific-machine-learning
Language:Julia 283
analysiscenter / pydens
PyDEns is a framework for solving Ordinary and Partial Differential Equations (ODEs & PDEs) using neural networks
deep-learning neural-networks partial-differential-equations numerical-methods differential-equations solving-pdes ode ode-solver pde-solver
Language:Jupyter Notebook 273
clawpack / riemann_book
An interactive book about the Riemann problem for hyperbolic PDEs, using Jupyter notebooks.
riemann-solver python jupyter-notebook book hyperbolic-equations partial-differential-equations mathematics numerical-methods
Language:HTML 244
frankhan91 / DeepBSDE
Deep BSDE solver in TensorFlow
deep-learning partial-differential-equations
Language:Python 243
pierremtb / PINNs-TF2.0
TensorFlow 2.0 implementation of Maziar Raissi's Physics Informed Neural Networks (PINNs).
physics-informed deep-neural-networks tf2 partial-differential-equations mechanical-engineering
Language:Mathematica 234
SciML / NeuralOperators.jl
DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia
julia fourier-transform gnn pde operator deep-learning partial-differential-equations automatic-differentiation deeponet differential-equations scientific-machine-learning fourier-neural-operator
Language:Julia 226
scaomath / galerkin-transformer
[NeurIPS 2021] Galerkin Transformer: a linear attention without softmax
attention attention-mechanism deep-learning neurips-2021 partial-differential-equations pytorch transformer
Language:Python 201
FourierFlows / FourierFlows.jl
Tools for building fast, hackable, pseudospectral partial differential equation solvers on periodic domains
cfd fluid-dy fourier julia partial-differential-equations periodic-domains pseudospectral-methods spectral-methods
Language:Julia 197
j-fu / VoronoiFVM.jl
Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method
finite-volumes julia multiphysics partial-differential-equations
Language:Julia 179
p4pdes
bueler / p4pdes
C and Python examples from my book on using PETSc and Firedrake to solve PDEs
petsc partial-differential-equations c scientific-computing parallel-computing variational-inequality newtons-method multigrid ordinary-differential-equations krylov preconditioning finite-element-methods supercomputing firedrake python fluid-mechanics advection finite-difference
Language:C 178
simpeg / discretize
Discretization tools for finite volume and inverse problems.
finite-difference finite-volume inverse-problems linear-algebra partial-differential-equations scientific-computing simulation
Language:Python 157
clawpack / pyclaw
PyClaw is a Python-based interface to the algorithms of Clawpack and SharpClaw. It also contains the PetClaw package, which adds parallelism through PETSc.
pde-solver finite-volume partial-differential-equations hyperbolic-equations weno petsc pde
Language:Fortran 150
SciML / MethodOfLines.jl
Automatic Finite Difference PDE solving with Julia SciML
pde finite-difference-method sciml scientific-ml partial-differential-equations julia high-performance-computing symbolic-computation parallel-computing
Language:Julia 148
FinEtools.jl
PetrKryslUCSD / FinEtools.jl
Finite Element tools in Julia
julia finite-elements numerical-methods partial-differential-equations finite-element-methods
Language:Julia 141
jostbr / shallow-water
Python model solving the shallow water equations (linear momentum, nonlinear continuity)
python numpy fluid-dynamics fluid-simulation computational-fluid-dynamics partial-differential-equations visualization
Language:Python 138