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Update doc/arkode/guide/source/Mathematics.rst
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Co-authored-by: Daniel R. Reynolds <[email protected]>
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balos1 and drreynolds authored Jun 28, 2023
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Expand Up @@ -517,8 +517,8 @@ SPRKStep utilizes Symplectic Partitioned Runge-Kutta (SPRK) methods represented
\end{array}.
We use a compact storage of these coefficients in terms of two arrays, one for *a* and one for *b*.
The time weights are computed dynamically as :math:`c_j = \sum_{i=1}^s a_i` and
:math:`\hat{c}_j = \sum_{i=1}^s \hat{a}_i` respectively. These methods approximately conserve a nearby
The time weights are computed dynamically as :math:`c_j = \sum_{i=1}^j a_i` and
:math:`\hat{c}_j = \sum_{i=1}^j \hat{a}_i` respectively. These methods approximately conserve a nearby
Hamiltonian for exponentially long times :cite:p:`HaWa:06`.
SPRKStep makes the assumption that the Hamiltonian is separable,
in which case the schemes are explicit. SPRKStep provides methods with order of accuracy and conservation
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