Surfacefun
==========

.. toctree::
   :maxdepth: 2
   :hidden:

   install
   surfacemesh
   surfacefun
   surfaceop
   examples

Surfacefun is a MATLAB package for numerically computing with functions on
surfaces with high-order accuracy. It provides abstractions for managing
high-order unstructured :doc:`surface meshes <surfacemesh>`, representing
:doc:`scalar functions and vector fields <surfacefun>`, and efficiently
:doc:`solving partial differential equations (PDEs) <surfaceop>`. It is
particularly fast at the latter. See :doc:`the examples <examples>` for some
applications of surface PDEs.

Links
-----

- Code repository: https://github.com/danfortunato/surfacefun
- Documentation: https://surfacefun.readthedocs.io

For details on the fast direct solver for surface PDEs at the heart of
Surfacefun, please see:

   D. Fortunato, A high-order fast direct solver for surface PDEs, to appear in
   SIAM J. Sci. Comput. `[arXiv] <https://arxiv.org/abs/2210.00022>`_