numerical-pdes

There are 1 repository under numerical-pdes topic.

• ADCME.jl

  kailaix / ADCME.jl

  Automatic Differentiation Library for Computational and Mathematical Engineering

  automatic-differentiationmachine-learningneural-networksnumerical-pdesoptimizationscientific-computingtensorflow
  Language:Julia 284

• vavrines / Kinetic.jl

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

  kinetic-theorycfdboltzmann-equationplasmafinite-volumepdescimldeep-learningscientific-machine-learningfinite-element-methodsfluid-dynamicsdifferential-equationsjulianumerical-pdesrarefied-gas-dynamics
  Language:Julia 118
• AdFem.jl

  kailaix / AdFem.jl

  Innovative, efficient, and computational-graph-based finite element simulator for inverse modeling

  machine-learningdeep-neural-networksfinite-element-methodsadjoint-methodnumerical-pdesautomatic-differentiation
  Language:Julia 79

• iwhoppock / viscous_burgers

  Two solutions, written in MATLAB, for solving the viscous Burger's equation. They are both spectral methods: the first is a Fourier Galerkin method, and the second is Collocation on the Tchebyshev-Gauß-Lobatto points.

  collocationsviscous-burgersdiffusion-coefficientspectral-methodsfourier-galerkinchebyyshevtchebyshevburgers-equationheat-equationheat-equation-solutionnumerical-pdespde
  Language:MATLAB 10

• cdalvaro / computational-physics

  🚧 Project for solving differential equations numerically, applied to physics

  numerical-pdesphysics-simulationopenglcppobjective-cpp
  Language:C++ 2

• iwhoppock / korteweg-de_vries

  A solution, written in C, to Korteweg de Vries using the fourth order Runge-Kutta method and finite differences.

  finite-differenceskorteweg-de-vriesrunge-kuttapdeinverse-scatteringsolitonskdv-equationnumerical-pdes
  Language:C 1

• iwhoppock / heat_equation

  A solution, written in C, to the heat equation using Crank-Nicholson and finite differences.

  crank-nicolsendifferential-equationsdiffusiondiffusion-equationfinite-differencesheat-equationnumerical-pdespdepdes
  Language:C 0

• iwhoppock / inviscid_burgers

  Solution to Burger's Equation (inviscid), written in C, using Adams-Bashforth Methods. These methods include the one, two, and three step algorithms.

  burgersinviscid-burgersburger-equationadams-bashforth-methodsfinite-differenceburgers-equationnumerical-pdespartial-differential-equationspde
  Language:C 0

• Rsmeets99 / M_scheme_biofilm_PDE

  Code corresponding to paper "Robust time-discretisation and linearisation schemes for singular and degenerate evolution systems modelling biofilm growth" implemented in python using FEniCSx. It covers the biofilm model and the porous medium equation.

  biofilm-growthfenicsxm-schemenumerical-pdesporous-mediapython
  Language:Python 0