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.. ---------------------------------------------------------------- | ||
SUNDIALS Copyright Start | ||
Copyright (c) 2002-2024, Lawrence Livermore National Security | ||
and Southern Methodist University. | ||
All rights reserved. | ||
See the top-level LICENSE and NOTICE files for details. | ||
SPDX-License-Identifier: BSD-3-Clause | ||
SUNDIALS Copyright End | ||
---------------------------------------------------------------- | ||
.. include:: ../../../../shared/sunstepper/SUNStepper_Description.rst | ||
.. include:: ../../../../shared/sunstepper/SUNStepper_Implementing.rst |
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.. ---------------------------------------------------------------- | ||
Programmer(s): Steven B. Roberts @ LLNL | ||
---------------------------------------------------------------- | ||
SUNDIALS Copyright Start | ||
Copyright (c) 2002-2024, Lawrence Livermore National Security | ||
and Southern Methodist University. | ||
All rights reserved. | ||
See the top-level LICENSE and NOTICE files for details. | ||
SPDX-License-Identifier: BSD-3-Clause | ||
SUNDIALS Copyright End | ||
---------------------------------------------------------------- | ||
.. _SUNStepper: | ||
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##################################### | ||
Stepper Data Structure | ||
##################################### | ||
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This section presents the :c:type:`SUNStepper` base class which represents a | ||
generic solution procedure for IVPs of the form | ||
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.. math:: | ||
\dot{v}(t) = f(t, v) + r(t), \qquad v(t_0) = v_0, | ||
:label: SUNStepper_IVP | ||
on an interval :math:`t \in [t_0, t_f]`. The forcing term, :math:`r_i(t)`, is | ||
given by | ||
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.. math:: | ||
r(t) = \sum_{k = 0}^{n_{\text{forcing}}} | ||
\frac{t - t_{\text{shift}}}{t_{\text{scale}}} \widehat{f}_k. | ||
:label: SUNStepper_forcing | ||
:c:type:`SUNStepper` provides an abstraction over SUNDIALS integrators, custom | ||
integrators, exact solution procedures, or other approaches for solving | ||
:eq:`SUNStepper_IVP`. These are used, for example, in operator splitting and | ||
forcing methods to solve inner IVPs in a flexible way. | ||
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.. toctree:: | ||
:maxdepth: 1 | ||
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SUNStepper_links.rst |
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