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Shenfun

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Description

Shenfun is a high performance computing platform for solving partial differential equations (PDEs) by the spectral Galerkin method. The user interface to shenfun is very similar to FEniCS, but applications are limited to multidimensional tensor product grids. The code is parallelized with MPI through the mpi4py-fft package.

Shenfun enables you to develop efficient and accurate PDE solvers (spectral order and accuracy), in the comfortable high-level Python language. The spectral accuracy is ensured from using high-order global orthogonal basis functions (Fourier, Legendre and Chebyshev), as opposed to finite element codes like FEniCS that are using low-order local basis functions. Efficiency is ensured through vectorization (Numpy), parallelization (mpi4py) and by moving critical routines to Cython. Shenfun has been used to run turbulence simulations (Direct Numerical Simulations) on thousands of processors on high-performance supercomputers, see the spectralDNS repository.

The demo folder contains several examples for the Poisson, Helmholtz and Biharmonic equations. For extended documentation and installation instructions see ReadTheDocs. See also this paper.

Installation

Shenfun can be installed using either pip or conda, see installation chapter on readthedocs.

Dependencies

Contact

For comments, issues, bug-reports and requests, please use the issue tracker of the current repository. Otherwise the principal author can be reached at:

Mikael Mortensen
mikaem at math.uio.no
http://folk.uio.no/mikaem/
Department of Mathematics
University of Oslo
Norway