Precondition STFC
=================

.. dropdown:: :doc:`TN-01_PriorityEquationsTestCases`

    This document discusses the prioritization of equations and test cases within the NEPTUNE Programme's Preconditioning project, focusing on elliptic and hyperbolic problems.

.. dropdown:: :doc:`TN-02_LinearSystemsEquationsPreconditionersRelatingNeptuneProgrammeABrief`

    This technical report provides a brief overview of preconditioners for linear systems of equations, including their motivation, classes, implementation details, and application cases.

.. dropdown:: :doc:`TN-03_ImplicitFactorizationPreconditionersNeptuneProgramme`

    This report describes the use of BOUT++ and Nektar++ for plasma physics modeling, focusing on the incorporation of preconditioners into these libraries.

.. dropdown:: :doc:`TN-04_ImplicitFactorizationPreconditionersNonSymmetricProblems`

    This report extends the class of constraint preconditioners from symmetric problems to non-symmetric problems. The authors consider the theoretical properties and demonstrate their effectiveness on a set of test problems inspired by the Hasegawa-Wakatani problem.


.. toctree::
    :hidden:
    :caption: Contents:
    TN-01_PriorityEquationsTestCases.rst
    TN-02_LinearSystemsEquationsPreconditionersRelatingNeptuneProgrammeABrief.rst
    TN-03_ImplicitFactorizationPreconditionersNeptuneProgramme.rst
    TN-04_ImplicitFactorizationPreconditionersNonSymmetricProblems.rst