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Extending Precision for Some DIRK Methods #593

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Extending Precision for Some DIRK Methods #593

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aee4ae6
Add high precision coefficients for some DIRK methods
Steven-Roberts Sep 22, 2024
674baef
Update Billington table in docs
Steven-Roberts Sep 22, 2024
eabd237
Merge branch 'develop' into feature/dirk-ext-prec
Steven-Roberts Oct 17, 2024
2216f53
Update changelog
Steven-Roberts Oct 17, 2024
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8 changes: 8 additions & 0 deletions CHANGELOG.md
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Expand Up @@ -6,6 +6,14 @@

### New Features and Enhancements

The following DIRK schemes now have coefficients accurate to quad precision:
* `ARKODE_BILLINGTON_3_3_2`
* `ARKODE_KVAERNO_4_2_3`
* `ARKODE_CASH_5_2_4`
* `ARKODE_CASH_5_3_4`
* `ARKODE_KVAERNO_5_3_4`
* `ARKODE_KVAERNO_7_4_5`

The default value of `CMAKE_CUDA_ARCHITECTURES` is no longer set to `70` and is
now determined automatically by CMake. The previous default was only valid for
Volta GPUs while the automatically selected value will vary across compilers and
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10 changes: 5 additions & 5 deletions doc/arkode/guide/source/Butcher.rst
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Expand Up @@ -1407,12 +1407,12 @@ Here, the higher-order embedding is less stable than the lower-order method

\renewcommand{\arraystretch}{1.5}
\begin{array}{r|ccc}
0.292893218813 & 0.292893218813 & 0 & 0 \\
1.091883092037 & 0.798989873223 & 0.292893218813 & 0 \\
1.292893218813 & 0.740789228841 & 0.259210771159 & 0.292893218813 \\
1 - \frac{1}{\sqrt{2}} & 1 - \frac{1}{\sqrt{2}} & 0 & 0 \\
\frac{27}{\sqrt{2}} - 18 & 14 \sqrt{2} - 19 & 1 - \frac{1}{\sqrt{2}} & 0 \\
2 - \frac{1}{\sqrt{2}} & \frac{53 - 5 \sqrt{2}}{62} & \frac{9 + 5 \sqrt{2}}{62} & 1 - \frac{1}{\sqrt{2}} \\
\hline
2 & 0.740789228840 & 0.259210771159 & 0 \\
3 & 0.691665115992 & 0.503597029883 & -0.195262145876
2 & \frac{53 - 5 \sqrt{2}}{62} & \frac{9 + 5 \sqrt{2}}{62} & 0 \\
3 & \frac{263 - 95 \sqrt{2}}{186} & \frac{47 + 33 \sqrt{2}}{186} & \frac{\sqrt{2} - 2}{3}
\end{array}

.. figure:: /figs/arkode/stab_region_12.png
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14 changes: 14 additions & 0 deletions doc/shared/RecentChanges.rst
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Expand Up @@ -2,6 +2,20 @@

**New Features and Enhancements**

The following DIRK schemes now have coefficients accurate to quad precision:

* ``ARKODE_BILLINGTON_3_3_2``

* ``ARKODE_KVAERNO_4_2_3``

* ``ARKODE_CASH_5_2_4``

* ``ARKODE_CASH_5_3_4``

* ``ARKODE_KVAERNO_5_3_4``

* ``ARKODE_KVAERNO_7_4_5``

The default value of :cmakeop:`CMAKE_CUDA_ARCHITECTURES` is no longer set to
``70`` and is now determined automatically by CMake. The previous default was
only valid for Volta GPUs while the automatically selected value will vary
Expand Down
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