An open API service providing repository metadata for many open source software ecosystems.

Topic: "partial-differential-equations"

cantaro86/Financial-Models-Numerical-Methods

Collection of notebooks about quantitative finance, with interactive python code.

Language: Jupyter Notebook - Size: 23.3 MB - Last synced at: 14 days ago - Pushed at: 7 months ago - Stars: 5,836 - Forks: 1,054

neuraloperator/neuraloperator

Learning in infinite dimension with neural operators.

Language: Python - Size: 127 MB - Last synced at: 18 days ago - Pushed at: 23 days ago - Stars: 2,603 - Forks: 657

SciML/NeuralPDE.jl

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

Language: Julia - Size: 550 MB - Last synced at: 3 days ago - Pushed at: 7 days ago - Stars: 1,073 - Forks: 217

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

Language: Julia - Size: 181 MB - Last synced at: 3 days ago - Pushed at: 14 days ago - Stars: 892 - Forks: 156

pdebench/PDEBench

PDEBench: An Extensive Benchmark for Scientific Machine Learning

Language: Python - Size: 1.09 MB - Last synced at: 4 days ago - Pushed at: 3 months ago - Stars: 891 - Forks: 104

FEniCS/dolfinx

Next generation FEniCS problem solving environment

Language: C++ - Size: 64.3 MB - Last synced at: about 12 hours ago - Pushed at: about 13 hours ago - Stars: 890 - Forks: 198

FreeFem/FreeFem-sources

FreeFEM source code

Language: C++ - Size: 393 MB - Last synced at: 7 days ago - Pushed at: 7 days ago - Stars: 826 - Forks: 199

gridap/Gridap.jl

Grid-based approximation of partial differential equations in Julia

Language: Julia - Size: 23.4 MB - Last synced at: 1 day ago - Pushed at: 1 day ago - Stars: 767 - Forks: 102

SciML/SciMLTutorials.jl

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

Language: CSS - Size: 217 MB - Last synced at: 4 days ago - Pushed at: about 1 year ago - Stars: 734 - Forks: 126

usnistgov/fipy

FiPy is a Finite Volume PDE solver written in Python

Language: Python - Size: 676 MB - Last synced at: 5 days ago - Pushed at: 10 days ago - Stars: 550 - Forks: 164

JuliaApproximation/ApproxFun.jl

Julia package for function approximation

Language: Julia - Size: 113 MB - Last synced at: 18 days ago - Pushed at: 19 days ago - Stars: 550 - Forks: 70

simpeg/simpeg

Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications.

Language: Python - Size: 88.5 MB - Last synced at: 9 days ago - Pushed at: 9 days ago - Stars: 548 - Forks: 273

maroba/findiff

Python package for numerical derivatives and partial differential equations in any number of dimensions.

Language: Python - Size: 2.35 MB - Last synced at: about 1 month ago - Pushed at: 4 months ago - Stars: 472 - Forks: 64

zwicker-group/py-pde

Python package for solving partial differential equations using finite differences.

Language: Python - Size: 10.8 MB - Last synced at: 9 days ago - Pushed at: about 1 month ago - Stars: 435 - Forks: 59

Ferrite-FEM/Ferrite.jl

Finite element toolbox for Julia

Language: Julia - Size: 63.2 MB - Last synced at: 3 days ago - Pushed at: 4 days ago - Stars: 372 - Forks: 97

SciML/DiffEqBase.jl

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

Language: Julia - Size: 3.1 MB - Last synced at: 3 days ago - Pushed at: 3 days ago - Stars: 331 - Forks: 117

SciML/SciMLBenchmarks.jl

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

Language: MATLAB - Size: 186 MB - Last synced at: 9 days ago - Pushed at: 9 days ago - Stars: 328 - Forks: 92

twitter-research/graph-neural-pde

Graph Neural PDEs

Language: Jupyter Notebook - Size: 18.3 MB - Last synced at: about 2 months ago - Pushed at: over 2 years ago - Stars: 328 - Forks: 56

mitmath/18S096SciML

18.S096 - Applications of Scientific Machine Learning

Language: HTML - Size: 31.9 MB - Last synced at: 3 months ago - Pushed at: about 3 years ago - Stars: 310 - Forks: 49

analysiscenter/pydens

PyDEns is a framework for solving Ordinary and Partial Differential Equations (ODEs & PDEs) using neural networks

Language: Jupyter Notebook - Size: 23.8 MB - Last synced at: about 6 hours ago - Pushed at: over 1 year ago - Stars: 307 - Forks: 67

ZichaoLong/PDE-Net

PDE-Net: Learning PDEs from Data

Size: 240 KB - Last synced at: over 1 year ago - Pushed at: almost 4 years ago - Stars: 292 - Forks: 104

SciML/DiffEqOperators.jl 📦

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

Language: Julia - Size: 3.33 MB - Last synced at: 3 days ago - Pushed at: almost 2 years ago - Stars: 283 - Forks: 73

SciML/FluxNeuralOperators.jl 📦

DeepONets, (Fourier) Neural Operators, Physics-Informed Neural Operators, and more in Julia

Language: Julia - Size: 15.3 MB - Last synced at: 5 days ago - Pushed at: 8 months ago - Stars: 276 - Forks: 41

frankhan91/DeepBSDE

Deep BSDE solver in TensorFlow

Language: Python - Size: 21.5 KB - Last synced at: 23 days ago - Pushed at: 24 days ago - Stars: 270 - Forks: 132

pierremtb/PINNs-TF2.0

TensorFlow 2.0 implementation of Maziar Raissi's Physics Informed Neural Networks (PINNs).

Language: Mathematica - Size: 3.87 MB - Last synced at: about 1 month ago - Pushed at: over 1 year ago - Stars: 258 - Forks: 87

WIAS-PDELib/VoronoiFVM.jl

Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

Language: Julia - Size: 440 MB - Last synced at: 7 days ago - Pushed at: 7 days ago - Stars: 247 - Forks: 39

clawpack/riemann_book

An interactive book about the Riemann problem for hyperbolic PDEs, using Jupyter notebooks.

Language: HTML - Size: 61.3 MB - Last synced at: about 1 year ago - Pushed at: over 2 years ago - Stars: 244 - Forks: 93

scaomath/galerkin-transformer

[NeurIPS 2021] Galerkin Transformer: a linear attention without softmax for Partial Differential Equations

Language: Python - Size: 7.91 MB - Last synced at: 5 days ago - Pushed at: 11 months ago - Stars: 241 - Forks: 28

FourierFlows/FourierFlows.jl

Tools for building fast, hackable, pseudospectral partial differential equation solvers on periodic domains

Language: Julia - Size: 5.07 MB - Last synced at: 12 days ago - Pushed at: 12 days ago - Stars: 206 - Forks: 30

bueler/p4pdes

C and Python examples from my book on using PETSc and Firedrake to solve PDEs

Language: C - Size: 4.48 MB - Last synced at: 6 days ago - Pushed at: 29 days ago - Stars: 199 - Forks: 74

simpeg/discretize

Discretization tools for finite volume and inverse problems.

Language: Python - Size: 56 MB - Last synced at: 7 days ago - Pushed at: 3 months ago - Stars: 176 - Forks: 35

SciML/MethodOfLines.jl

Automatic Finite Difference PDE solving with Julia SciML

Language: Julia - Size: 370 MB - Last synced at: 3 days ago - Pushed at: about 1 month ago - Stars: 175 - Forks: 34

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.

Language: Fortran - Size: 15 MB - Last synced at: 9 days ago - Pushed at: 9 days ago - Stars: 170 - Forks: 104

camlab-ethz/ConvolutionalNeuralOperator

This repository is the official implementation of the paper Convolutional Neural Operators for robust and accurate learning of PDEs

Language: Python - Size: 14.6 MB - Last synced at: 5 days ago - Pushed at: 5 days ago - Stars: 168 - Forks: 19

FEniCS/ffcx

Next generation FEniCS Form Compiler for finite element forms

Language: Python - Size: 11.4 MB - Last synced at: 12 days ago - Pushed at: 12 days ago - Stars: 165 - Forks: 45

PetrKryslUCSD/FinEtools.jl

Finite Element tools in Julia

Language: Julia - Size: 15.3 MB - Last synced at: 3 days ago - Pushed at: 29 days ago - Stars: 156 - Forks: 21

jostbr/shallow-water

Python model solving the shallow water equations (linear momentum, nonlinear continuity)

Language: Python - Size: 33.3 MB - Last synced at: 9 months ago - Pushed at: over 4 years ago - Stars: 146 - Forks: 38

Photon-AI-Research/NeuralSolvers

Neural network based solvers for partial differential equations and inverse problems :milky_way:. Implementation of physics-informed neural networks in pytorch.

Language: Python - Size: 321 MB - Last synced at: 4 months ago - Pushed at: 4 months ago - Stars: 142 - Forks: 46

gridap/GridapDistributed.jl

Parallel distributed-memory version of Gridap

Language: Julia - Size: 5.11 MB - Last synced at: 9 days ago - Pushed at: about 1 month ago - Stars: 121 - Forks: 19

FEniCS/ufl

UFL - Unified Form Language

Language: Python - Size: 5.84 MB - Last synced at: 5 days ago - Pushed at: 5 days ago - Stars: 114 - Forks: 68

adtzlr/felupe

:mag: finite element analysis for continuum mechanics of solid bodies

Language: Python - Size: 31.8 MB - Last synced at: 7 days ago - Pushed at: 13 days ago - Stars: 109 - Forks: 13

314arhaam/heat-pinn

A Physics-Informed Neural Network to solve 2D steady-state heat equations.

Language: Jupyter Notebook - Size: 2.2 MB - Last synced at: 6 months ago - Pushed at: 6 months ago - Stars: 106 - Forks: 14

john-s-butler-dit/Numerical-Analysis-Python

Python notebooks for Numerical Analysis

Language: Jupyter Notebook - Size: 17 MB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 106 - Forks: 24

SciML/FEniCS.jl

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

Language: Julia - Size: 856 KB - Last synced at: 4 days ago - Pushed at: 6 months ago - Stars: 105 - Forks: 25

clegaard/deep_learning_for_dynamical_systems

Language: Python - Size: 108 KB - Last synced at: about 1 month ago - Pushed at: about 2 years ago - Stars: 86 - Forks: 20

skoohy/GPT-PINN

Generative Pre-Trained Physics-Informed Neural Networks Implementation

Language: Python - Size: 3.1 MB - Last synced at: 3 months ago - Pushed at: 3 months ago - Stars: 85 - Forks: 18

cics-nd/ar-pde-cnn 📦

Physics-constrained auto-regressive convolutional neural networks for dynamical PDEs

Language: Python - Size: 18.6 MB - Last synced at: over 1 year ago - Pushed at: about 3 years ago - Stars: 81 - Forks: 30

theochem/grid

Python library for numerical integration, interpolation, and differentiation on (molecular) grids.

Language: Python - Size: 84.8 MB - Last synced at: 18 days ago - Pushed at: 18 days ago - Stars: 67 - Forks: 27

NBoulle/greenlearning

Learning Green's functions of partial differential equations with deep learning.

Language: Python - Size: 11.7 MB - Last synced at: 14 days ago - Pushed at: over 1 year ago - Stars: 66 - Forks: 14

katiana22/latent-deeponet

Source code of "Learning nonlinear operators in latent spaces for real-time predictions of complex dynamics in physical systems."

Language: Python - Size: 3.54 MB - Last synced at: 18 days ago - Pushed at: 18 days ago - Stars: 58 - Forks: 16

parsiad/QuantPDE

A high-performance, open-source, header-only C++(>=11) library for pricing derivatives.

Language: C++ - Size: 889 KB - Last synced at: 29 days ago - Pushed at: about 2 years ago - Stars: 58 - Forks: 15

haranjackson/PyPDE

A Python library for solving any system of hyperbolic or parabolic Partial Differential Equations. The PDEs can have stiff source terms and non-conservative components.

Language: C++ - Size: 1.54 MB - Last synced at: 28 days ago - Pushed at: over 5 years ago - Stars: 57 - Forks: 9

rsugimoto/WoBToolbox

Author's implementation of SIGGRAPH 2023 paper, "A Practical Walk-on-Boundary Method for Boundary Value Problems."

Language: Cuda - Size: 1.02 MB - Last synced at: 12 days ago - Pushed at: 12 days ago - Stars: 55 - Forks: 5

ashiq24/UNO

Language: Jupyter Notebook - Size: 351 KB - Last synced at: about 2 months ago - Pushed at: about 2 months ago - Stars: 55 - Forks: 8

amazon-science/probconserv

Datasets and code for results presented in the ProbConserv paper

Language: Python - Size: 34.7 MB - Last synced at: about 1 month ago - Pushed at: 11 months ago - Stars: 53 - Forks: 9

gaurav71531/mwt-operator

Multiwavelets-based operator model

Language: Python - Size: 176 KB - Last synced at: over 1 year ago - Pushed at: about 3 years ago - Stars: 50 - Forks: 7

cvarier/2D-Elliptic-Mesh-Generator

2D orthogonal elliptic mesh generator which solves the Winslow partial differential equations

Language: Java - Size: 25.9 MB - Last synced at: over 1 year ago - Pushed at: over 3 years ago - Stars: 50 - Forks: 10

cbritopacheco/rodin

Modern C++20 finite element method and shape optimization framework.

Language: C++ - Size: 160 MB - Last synced at: 5 days ago - Pushed at: 5 days ago - Stars: 49 - Forks: 9

manufactured-solutions/MASA

Method of Manufactured Solutions Repository

Language: C++ - Size: 4.85 MB - Last synced at: 6 months ago - Pushed at: 6 months ago - Stars: 49 - Forks: 27

PtFEM/PtFEM.jl 📦

"Programming the Finite Element Method" by I M Smith, D V Griffiths and L Margetts

Language: Julia - Size: 11.7 MB - Last synced at: 11 days ago - Pushed at: about 3 years ago - Stars: 46 - Forks: 16

SciML/FiniteVolumeMethod.jl

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

Language: Julia - Size: 307 MB - Last synced at: 4 days ago - Pushed at: 4 months ago - Stars: 43 - Forks: 4

amazon-science/boon

Datasets and code for results presented in the BOON paper

Language: Jupyter Notebook - Size: 458 KB - Last synced at: 9 days ago - Pushed at: about 2 years ago - Stars: 43 - Forks: 7

junbinhuang/DeepRitz

Implementation of the Deep Ritz method and the Deep Galerkin method

Language: Python - Size: 11.4 MB - Last synced at: about 1 year ago - Pushed at: almost 5 years ago - Stars: 43 - Forks: 17

notmatthancock/level-set-machine-learning

Level set segmentation with machine learning based velocity field

Language: Python - Size: 8.69 MB - Last synced at: 29 days ago - Pushed at: over 5 years ago - Stars: 42 - Forks: 16

MachineLearningJournalClub/MLJC-UniTo-ProjectX-2020-public

Public repository for the proposal “Physics-Informed Machine Learning Simulator for Wildfire Propagation” - MLJC University of Turin - ProjectX2020 Competition (UofT AI)

Language: Jupyter Notebook - Size: 115 MB - Last synced at: over 1 year ago - Pushed at: over 3 years ago - Stars: 41 - Forks: 7

JuntaoHuang/adaptive-multiresolution-DG

Adaptive multiresolution discontinuous Galerkin C++ package

Language: C++ - Size: 587 KB - Last synced at: 9 months ago - Pushed at: 9 months ago - Stars: 40 - Forks: 6

SciML/ModelOrderReduction.jl

High-level model-order reduction to automate the acceleration of large-scale simulations

Language: Julia - Size: 1.4 MB - Last synced at: 4 days ago - Pushed at: 6 days ago - Stars: 39 - Forks: 6

cmgcds/fastvpinns

FastVPINNs - A tensor-driven acceleration of VPINNs for complex geometries

Language: Python - Size: 38.6 MB - Last synced at: 9 days ago - Pushed at: 3 months ago - Stars: 39 - Forks: 67

remcovandermeer/Optimally-Weighted-PINNs

Language: Python - Size: 18.6 KB - Last synced at: over 1 year ago - Pushed at: about 5 years ago - Stars: 38 - Forks: 20

Parallel-in-Time/pySDC

pySDC is a Python implementation of the spectral deferred correction (SDC) approach and its flavors, esp. the multilevel extension MLSDC and PFASST.

Language: Jupyter Notebook - Size: 513 MB - Last synced at: 3 days ago - Pushed at: 3 days ago - Stars: 37 - Forks: 36

katiana22/TL-DeepONet

Source code of 'Deep transfer operator learning for partial differential equations under conditional shift'.

Language: Python - Size: 8.99 MB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 36 - Forks: 7

MJfadeaway/DAS

DAS: A deep adaptive sampling method for solving high-dimensional partial differential equations

Language: Python - Size: 5.29 MB - Last synced at: 6 months ago - Pushed at: 6 months ago - Stars: 35 - Forks: 8

dumux/dumux

DuMux: an open-source simulator for flow and transport processes in porous media (repository mirrored from https://git.iws.uni-stuttgart.de/dumux-repositories/dumux.git)

Language: C++ - Size: 247 MB - Last synced at: 7 days ago - Pushed at: 7 days ago - Stars: 34 - Forks: 12

stefanmeili/FastFD

A library for building finite difference simulations

Language: Python - Size: 60.2 MB - Last synced at: 23 days ago - Pushed at: about 4 years ago - Stars: 34 - Forks: 6

LukasMosser/DeepFlow

Pytorch implementation of "DeepFlow: History Matching in the Space of Deep Generative Models"

Language: MATLAB - Size: 184 MB - Last synced at: 26 days ago - Pushed at: almost 6 years ago - Stars: 34 - Forks: 13

scaomath/eit-transformer

[ICLR 2023] Interplay between the Attention and Electrical Impedance Tomography

Language: Python - Size: 31.3 KB - Last synced at: 5 days ago - Pushed at: over 2 years ago - Stars: 33 - Forks: 4

scaomath/torch-cfd

[ICLR 2025] Neural Operator-Assisted Computational Fluid Dynamics in PyTorch

Language: Python - Size: 31.7 MB - Last synced at: 5 days ago - Pushed at: 12 days ago - Stars: 32 - Forks: 3

xiaoyuxie-vico/Awesome-ML-PDE

Resources about Machine Learning for solving PDEs.

Size: 12.8 MB - Last synced at: over 1 year ago - Pushed at: almost 2 years ago - Stars: 32 - Forks: 4

FESTUNG/FESTUNG

The main project for the MATLAB / GNU Octave code of FESTUNG

Language: MATLAB - Size: 11.2 MB - Last synced at: about 2 years ago - Pushed at: over 2 years ago - Stars: 32 - Forks: 7

gilbertfrancois/partial-differential-equations

Notes and examples on how to solve partial differential equations with numerical methods, using Python.

Language: Jupyter Notebook - Size: 35.1 MB - Last synced at: 5 days ago - Pushed at: about 2 years ago - Stars: 31 - Forks: 6

ThomasThelen/Finite-Difference-Method

A Finite Difference Method Engine in C++

Language: C++ - Size: 7.84 MB - Last synced at: 12 days ago - Pushed at: over 2 years ago - Stars: 29 - Forks: 7

peterparity/PDE-VAE-pytorch

PDE-VAE: Variational Autoencoder for Extracting Interpretable Physical Parameters from Spatiotemporal Systems using Unsupervised Learning

Language: Python - Size: 28.3 KB - Last synced at: 10 months ago - Pushed at: over 3 years ago - Stars: 29 - Forks: 7

ZewenShen/hdp

A numerical library for High-Dimensional option Pricing problems, including Fourier transform methods, Monte Carlo methods and the Deep Galerkin method

Language: Python - Size: 423 KB - Last synced at: about 1 year ago - Pushed at: almost 5 years ago - Stars: 28 - Forks: 5

amkatrutsa/DeepPDE

Deep Learning application to the partial differential equations

Language: Jupyter Notebook - Size: 990 KB - Last synced at: about 2 years ago - Pushed at: about 7 years ago - Stars: 28 - Forks: 16

HewlettPackard/separable-operator-networks

Official repo for separable operator networks -- extreme-scale operator learning for parametric PDEs.

Language: Python - Size: 942 KB - Last synced at: 15 days ago - Pushed at: 6 months ago - Stars: 26 - Forks: 1

daleroberts/poisson

Solve Poisson equation on arbitrary 2D domain using the finite element method.

Language: Python - Size: 219 KB - Last synced at: 29 days ago - Pushed at: about 10 years ago - Stars: 26 - Forks: 10

marvinpfoertner/linpde-gp

Code for the Paper "Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers"

Language: Python - Size: 5.63 MB - Last synced at: about 1 month ago - Pushed at: about 1 year ago - Stars: 25 - Forks: 4

thu-ml/NUNO

[ICML 2023] Non-Uniform Neural Operator (NUNO)

Language: Python - Size: 5.26 MB - Last synced at: 7 days ago - Pushed at: almost 2 years ago - Stars: 25 - Forks: 0

jaggbow/magnet

This repository contains code for the paper "MAgNet: Mesh-Agnostic Neural PDE Solver" https://arxiv.org/abs/2210.05495

Language: Python - Size: 2.72 MB - Last synced at: almost 2 years ago - Pushed at: almost 2 years ago - Stars: 25 - Forks: 2

diegozain/gerjoii

Radar and DC resistivity 2.5D multi-physics inversion suite. Forward modeling, separate inversions, joint inversions.

Language: MATLAB - Size: 206 MB - Last synced at: about 2 years ago - Pushed at: over 2 years ago - Stars: 24 - Forks: 3

fdaPDE/fdaPDE-core

The fdaPDE core library is a C++ header-only library for Partial Differential Equation discretization, computational geometry, unconstrained nonlinear optimization, linear algebra and much more.

Language: C++ - Size: 10.4 MB - Last synced at: 6 days ago - Pushed at: 6 days ago - Stars: 23 - Forks: 16

FiniteVolumeTransportPhenomena/PyFVTool

Finite volume toolbox in Python

Language: Python - Size: 6.71 MB - Last synced at: about 1 month ago - Pushed at: about 1 month ago - Stars: 23 - Forks: 5

obrienadam/Phase

Unstructured 2D multiphase solver with immersed boundary methods.

Language: C++ - Size: 31.9 MB - Last synced at: over 1 year ago - Pushed at: almost 2 years ago - Stars: 23 - Forks: 9

neo-fetch/nvidia-modulus-airfoil-optimisation

Using NVIDIA modulus for airfoil optimizations at different angles.

Language: Python - Size: 24.6 MB - Last synced at: 11 months ago - Pushed at: about 2 years ago - Stars: 23 - Forks: 5

Mephistopheles-0/DeepBSDE

Python code for solving partial differential equations (PDEs) using deep learning. Specifically, we provide implementations for solving the following PDEs

Language: Jupyter Notebook - Size: 388 KB - Last synced at: 11 months ago - Pushed at: 11 months ago - Stars: 22 - Forks: 8

zachjweiner/pystella

A code generator for grid-based PDE solving on CPUs and GPUs

Language: Python - Size: 455 KB - Last synced at: about 1 month ago - Pushed at: almost 2 years ago - Stars: 21 - Forks: 2

singhsidhukuldeep/2D-Navier-Stokes-Solver

As the field of Computational Fluid Dynamics (CFD) progresses, the fluid flows are more and more analysed by using simulations with the help of high speed computers. In order to solve and analyse these fluid flows we require intensive simulation involving mathematical equations which governs the fluid flow, these are Navier Stokes (NS) equation. Solving these equations has become a necessity as almost every problem which is related to fluid flow analysis call for solving of Navier Stokes equation. These NS equations are partial differential equations so different numerical methods are used to solve these equations. Solving these partial differential equations so different numerical methods requires large amount of computing power and huge amount of memory is in play. Only practical feasible way to solve these equation is write a parallel program to solve them, which can then be run on powerful hardware capable of parallel processing to get the desired results High speed supercomputer will provide us very good performance in terms of reduction in execution time. In paper focus will be on finite volume as a numerical method. We will also see what GPGPU (General-Purpose computing on Graphics Processing Units) is and how we are taking its advantages to solve CFD problems.

Language: C - Size: 2.57 MB - Last synced at: over 1 year ago - Pushed at: almost 2 years ago - Stars: 21 - Forks: 11

snandasena/advanced-lane-finding

Udacity Self-Driving Car Engineer.

Language: HTML - Size: 254 MB - Last synced at: about 1 month ago - Pushed at: over 4 years ago - Stars: 21 - Forks: 9

xiaoyuxie-vico/PyDimension

Dimensionless learning codes for our paper called "Data-driven discovery of dimensionless numbers and governing laws from scarce measurements".

Language: Jupyter Notebook - Size: 5.72 MB - Last synced at: over 1 year ago - Pushed at: over 1 year ago - Stars: 20 - Forks: 4

pierremtb/UQPINNs-TF2.0

TensorFlow 2.0 implementation of Yibo Yang, Paris Perdikaris’s adversarial Uncertainty Quantification in Physics Informed Neural Networks (UQPINNs).

Language: Python - Size: 408 KB - Last synced at: 30 days ago - Pushed at: about 2 years ago - Stars: 20 - Forks: 23

Related Topics
numerical-methods 79 python 52 pde 48 differential-equations 41 deep-learning 38 scientific-computing 30 finite-element-methods 30 julia 28 numerical-analysis 26 ordinary-differential-equations 25 machine-learning 24 scientific-machine-learning 24 finite-elements 20 finite-difference 20 finite-difference-method 20 simulation 19 physics-informed-neural-networks 19 mathematics 18 pde-solver 18 matlab 17 neural-networks 16 pytorch 16 physics 14 neural-network 14 finite-element-method 13 computational-fluid-dynamics 13 linear-algebra 13 stochastic-differential-equations 13 sciml 12 c 11 monte-carlo 11 heat-equation 11 parallel-computing 11 ode 10 fluid-dynamics 9 numerical-integration 9 computational-physics 9 physics-informed-learning 9 spectral-methods 9 uncertainty-quantification 9 cpp 9 pinn 9 python3 8 neural-operator 8 fem 8 operator-learning 8 high-performance-computing 8 applied-mathematics 8 monte-carlo-simulation 8 inverse-problems 8 calculus 8 tensorflow 7 boundary-conditions 7 numpy 7 finite-element-analysis 7 burgers-equation 7 black-scholes 7 laplace-equation 7 differentialequations 7 navier-stokes-equations 7 finite-volume 7 dynamical-systems 7 graph-neural-networks 6 system-identification 6 reaction-diffusion 6 hyperbolic-equations 6 modeling 6 quantum-mechanics 6 fourier-neural-operator 6 jupyter-notebook 6 fourier-transform 6 neural-ode 6 diffusion-equation 6 scipy 6 wave-equation 6 method-of-lines 5 pdes 5 neural-differential-equations 5 finite-volume-methods 5 runge-kutta 5 neural-operators 5 deeponet 5 nonlinear-dynamics 5 monte-carlo-methods 5 physics-simulation 5 heat-transfer 5 differential-geometry 5 option-pricing 5 mathematical-modelling 5 fortran 5 c-plus-plus 5 hpc 5 automatic-differentiation 5 pinns 5 finance 5 geophysics 4 physics-informed 4 deep-neural-networks 4 meshing 4 mesh 4