.. _sphx_glr__build_auto_examples_convergence:

Convergence analysis of numerical methods
=========================================



.. raw:: html

    <div class="sphx-glr-thumbnails">


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Benchmark of Error-Free Transforms for ODE IVP">

.. only:: html

  .. image:: /_build/auto_examples/convergence/images/thumb/sphx_glr_EFT_RungeKutta_thumb.png
    :alt:

  :ref:`sphx_glr__build_auto_examples_convergence_EFT_RungeKutta.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Benchmark of Error-Free Transforms for ODE IVP</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Convergence analysis of explicit Runge-Kutta methods for ODE IVP">

.. only:: html

  .. image:: /_build/auto_examples/convergence/images/thumb/sphx_glr_ExplicitRungeKutta_ivp_thumb.png
    :alt:

  :ref:`sphx_glr__build_auto_examples_convergence_ExplicitRungeKutta_ivp.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Convergence analysis of explicit Runge-Kutta methods for ODE IVP</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Convergence analysis of implicit Runge-Kutta methods for ODE IVP">

.. only:: html

  .. image:: /_build/auto_examples/convergence/images/thumb/sphx_glr_ImplicitRungeKutta_ivp_thumb.png
    :alt:

  :ref:`sphx_glr__build_auto_examples_convergence_ImplicitRungeKutta_ivp.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Convergence analysis of implicit Runge-Kutta methods for ODE IVP</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Convergence analysis of integration methods on segment">

.. only:: html

  .. image:: /_build/auto_examples/convergence/images/thumb/sphx_glr_Integration_on_segment_thumb.png
    :alt:

  :ref:`sphx_glr__build_auto_examples_convergence_Integration_on_segment.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Convergence analysis of integration methods on segment</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Convergence analysis of Runge-Kutta methods for ODE IVP">

.. only:: html

  .. image:: /_build/auto_examples/convergence/images/thumb/sphx_glr_SelectedRungeKutta_thumb.png
    :alt:

  :ref:`sphx_glr__build_auto_examples_convergence_SelectedRungeKutta.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Convergence analysis of Runge-Kutta methods for ODE IVP</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Valiadation of tangent integration alorithms using Finite Differences">

.. only:: html

  .. image:: /_build/auto_examples/convergence/images/thumb/sphx_glr_TangentIntegrationvs_FD_thumb.png
    :alt:

  :ref:`sphx_glr__build_auto_examples_convergence_TangentIntegrationvs_FD.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Valiadation of tangent integration alorithms using Finite Differences</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Convergence analysis of scipy&#x27;s Runge-Kutta methods for ODE IVP">

.. only:: html

  .. image:: /_build/auto_examples/convergence/images/thumb/sphx_glr_scipyRungeKutta_ivp_thumb.png
    :alt:

  :ref:`sphx_glr__build_auto_examples_convergence_scipyRungeKutta_ivp.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Convergence analysis of scipy's Runge-Kutta methods for ODE IVP</div>
    </div>


.. raw:: html

    </div>


.. toctree::
   :hidden:

   /_build/auto_examples/convergence/EFT_RungeKutta
   /_build/auto_examples/convergence/ExplicitRungeKutta_ivp
   /_build/auto_examples/convergence/ImplicitRungeKutta_ivp
   /_build/auto_examples/convergence/Integration_on_segment
   /_build/auto_examples/convergence/SelectedRungeKutta
   /_build/auto_examples/convergence/TangentIntegrationvs_FD
   /_build/auto_examples/convergence/scipyRungeKutta_ivp