finite-difference

There are 3 repositories under finite-difference topic.

devito
devitocodes / devito
DSL and compiler framework for automated finite-differences and stencil computation
finite-difference sympy jit performance fwi rtm dsl gpu hpc stencil compiler code-generation ultrasound-imaging
Language:Python 519
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
IBAMR / IBAMR
An adaptive and distributed-memory parallel implementation of the immersed boundary (IB) method
immersed-boundary-method adaptive-mesh-refinement multiphase-flow finite-difference finite-elements c-plus-plus fortran mpi volume-penalization-method level-set-method
Language:C++ 331
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 simulation partial-differential-equations scientific-computing inverse-problems linear-algebra
Language:Python 157
brli3 / CFD
Basic Computational Fluid Dynamics (CFD) schemes implemented in FORTRAN using Finite-Volume and Finite-Difference Methods. Sample simulations and figures are provided.
computational-fluid-dynamics cfd fluid-simulation heat-transfer fortran finite-volume finite-difference fluid-dynamics
Language:Fortran 156
JanThorbecke / OpenSource
Code for geophysical 3D/2D Finite Difference modelling, Marchenko algorithms, 2D/3D x-w migration and utilities.
marchenko wave-equation finite-difference modeling geophysics
Language:C 126
PSyclone
stfc / PSyclone
Domain-specific compiler and code transformation system for Finite Difference/Volume/Element Earth-system models in Fortran
python fortran compiler finite-elements finite-difference finite-volume optimization high-performance-computing parallel-computing hacktoberfest
Language:Python 94
wme7 / ApproximateRiemannSolvers
My personal collection of Riemann solvers using MUSCL and WENO schemes written as short Matlab scripts
weno-schemes riemann-solvers matlab finite-difference finite-volume
Language:MATLAB 81
ranocha / SummationByPartsOperators.jl
A Julia library of summation-by-parts (SBP) operators used in finite difference, Fourier pseudospectral, continuous Galerkin, and discontinuous Galerkin methods to get provably stable semidiscretizations, paying special attention to boundary conditions.
finite-difference summation-by-parts sbp boundary-conditions julia hacktoberfest discontinuous-galerkin continuous-galerkin fourier derivative-operator dgsem cgsem
Language:Julia 74
heat-pinn
314arhaam / heat-pinn
A Physics-Informed Neural Network to solve 2D steady-state heat equation.
physics-informed-neural-networks physics-informed-ml heat-transfer heat-equation machine-learning deep-learning chemical-engineering process-engineering finite-difference partial-differential-equations python3 physics
Language:Jupyter Notebook 72
acuoci / CFDofReactiveFlows
Collection of codes in Matlab(R) and C++ for solving basic problems presented and discussed in the "Computational Fluid Dynamics of Reactive Flows" course (Politecnico di Milano)
cfd fluid-dynamics reactions finite-difference finite-volume
Language:MATLAB 66
isds-neu / PeRCNN
Encoding physics to learn reaction-diffusion processes
equation-discovery finite-difference pde physics-simulation scientific-machine-learning surrogate-models physics-encoded-learning
Language:Python 63
dmitriy-kats / PhaseFieldGrainGrowthSimulations
These matlab codes simulate grain growth by solving the phase field equations using a centered finite difference method
phase-field grain-growth finite-difference
Language:MATLAB 59
larsgeb / psvWave
Forward code for the P-SV wave equation on a staggered grid, with full waveform inversion interfaces. Finite difference approach according to stress-velocity formulation.
wave-propagation shearwave staggeredgrid finite-difference full-waveform-inversion armadillo psv-wave velocity-stress-formulation python pybind11 eigen cpp11
Language:Jupyter Notebook 59
fancompute / fdfdpy
Pure Python implementation of the finite difference frequency domain (FDFD) method for electromagnetics
optics electromagnetics finite-difference frequency-domain eigenvalues eigenvectors fdfd modal-calculations python-fdfd
Language:Jupyter Notebook 52
zaman13 / Poisson-solver-2D
Finite difference solution of 2D Poisson equation. Can handle Dirichlet, Neumann and mixed boundary conditions.
differential-equations differential-equations-solvers dirichlet dirichlet-boundaries finite-difference linear-algebra math mathematics matrix matrix-solver neumann neumann-bc numerical-methods poisson-equation poisson-equation-solver python
Language:Python 50
eguidotti / calculus
High Dimensional Numerical and Symbolic Calculus in R
r r-package calculus gradient jacobian hessian divergence curl laplacian taylor hermite einstein finite-difference numerical-differentiation numerical-derivation numerical-derivatives symbolic-differentiation symbolic-computation coordinate-systems
Language:R 43
c0rychu / SchrodingerEq_1D_tutorial
Solving Schrodinger Equation Numerically
animation pde-solver python rk4 schrodinger schrodinger-equation schrodinger-equation-solution finite-difference physics physics-simulation
Language:Jupyter Notebook 37
usnistgov / hiperc
High Performance Computing Strategies for Boundary Value Problems
phase-field gpgpu xeon-phi materials-science computational-science cuda openacc diffusion-equation scientific-computing diffusion gpu gpu-computing finite-difference shared-memory-parallel
Language:HTML 37
byrneta / Computational-Fluid-Dynamics
:cyclone: Selected MATLAB code I wrote while taking a CFD class in graduate school. Finite-difference and finite volume approximations are compared to analytical solutions. Project descriptions are included. :cyclone:
cfd computational-fluid-dynamics matlab octave finite-difference finite-volume
Language:MATLAB 35
MahanFathi / Model-Based-RL
Model-based Policy Gradients
model-based reinforcement-learning backpropagation mujoco mujoco-py finite-difference computational-graphs pytorch gym openai-gym ilqg direct-policy-search policy-optimization policy-gradient ilqg-mujoco ilqr mujoco-dynamics policy-gradients computation-graph
Language:Python 29
stefanmeili / FastFD
A library for building finite difference simulations
finite-difference simulation python scipy cupy finite-difference-simulations engineering-tools engineering-design partial-differential-equations pde pde-solver physics-simulation heat-transfer fluid-dynamics process-simulation mechanical-engineering electromagnetic-simulation
Language:Python 28
ThomasThelen / Finite-Difference-Method
A Finite Difference Method Engine in C++
finite-difference finite-difference-method finite-differences partial-differential-equations diffusion-equation heat-equation heat-transfer fdm numerical-methods numerical-calculations numerical-computation numerical numerical-integration
Language:C++ 28
ovcharenkoo / CUDA_FDTD_2D_acoustic_wave_propagation
Acoustic wave propagation in 2D domain using CUDA, O(2,8). Solve second order wave equation in time domain using finite-differences.
cuda cuda-demo wave propagation acoustic 2d finite-difference time-domain fdtd tutorial demo
Language:Cuda 26
soumyasen1809 / 12-Steps-to-Navier-Stokes
CFD Python, a.k.a. the 12 steps to Navier-Stokes taught by Prof. Lorena Barba
barba cfd computational-fluid-dynamics finite-difference finite-volume fluid fluid-dynamics fluid-simulation mechanical-engineering python
Language:Python 25
nauaneed / PyDNS
Direct Numerical Simulation of Fluid Flow with IBM Using Python
cfd fluid-dynamics fluid-simulation finite-difference spectral-methods immersed-boundary-method immersed-boundary spectral-method projection-method direct-numerical-simulation turbulence fourier-transform fast-fourier-transform discrete-sine-transform discrete-cosine-transform
Language:Jupyter Notebook 24
xavierdechamps / Burgers_1D
Solve the 1D forced Burgers equation with high order finite elements and finite difference schemes.
burgers burgers-equation finite-difference finite-difference-method finite-element-methods finite-elements hermite high-order lagrange runge-kutta spectrum turbulence
Language:MATLAB 24
dkong8s93 / p2d-model
Numerical Implementation (Finite Difference) of the Pseudo-two-Dimensional Model for Lithium-ion Batteries
finite-difference p2d numerical-modelling matlab model-reduction
Language:MATLAB 22
LASG-GAMIL / GMCORE
A dynamical core for solving geophysical fluid equations on the sphere with conservative finite difference methods
atmospheric-modelling dynamical-core finite-difference fortran2008
Language:Fortran 21
AndybnACT / GPU-comcot
GPU-comcot offloads the computational component on the outermost layer of COMCOT to Nvidia GPU. Currently, the speed up achieved by parallelized code on GTX-1060 comparing to serial one on AMD-FX8150 is nearly 200X. The code is still under development to fulfill the full functionality of the original model.
tsunami gpu-computing cuda comcot gpu-acceleration finite-difference shallow-water-equations
Language:Fortran 20
inducer / numpde-notes
Slides/notes and Jupyter notebook demos for an introductory course of numerical methods for PDEs
finite-difference finite-element-methods finite-volume-methods firedrake jupyter-notebook lecture-notes notes numerical-methods org-mode pde pde-solver scientific-computing teaching
Language:Jupyter Notebook 19
arotem3 / numerics
library of numerical methods using Armadillo
numerical-analysis differential-equations partial-differential-equations numerical-methods interpolation-methods boundary-value-problem numerical-integration optimization-methods root-finding armadillo finite-difference data-science machine-learning splines fourier classification regression cross-validation linear-algebra
Language:C++ 18
munstermonster / cuSten
CUDA Finite Difference Library
stencil cuda-library cuda finite-difference partial-differential-equations parallel high-performance-computing library static-library nvidia-gpus direction-periodicity documentation doxygen doxygen-documentation gpu gpu-acceleration gpu-programming gpu-computing
Language:Cuda 15
wesselb / fdm
Estimate derivatives with finite differences
finite-difference python
Language:Python 15
gituliar / kwinto-cuda
Financial Analytics on GPU
american-options cuda finite-difference gpu option-pricing
Language:C++ 13