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<p class="MsoNormal">Matt, they seem to be provided in Butcher
tableau form in the paper. One can register an RK method and use
it.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">An example (for ARKIMEX) is here: <a class="moz-txt-link-freetext" href="https://petsc.org/release/src/ts/tutorials/ex19.c.html" moz-do-not-send="true">https://petsc.org/release/src/ts/tutorials/ex19.c.html</a><o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Emil<o:p></o:p></p>
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<p class="MsoNormal" style="margin-bottom:12.0pt"><b><span style="font-size:12.0pt;color:black">From: </span></b><span style="font-size:12.0pt;color:black">petsc-dev <a class="moz-txt-link-rfc2396E" href="mailto:petsc-dev-bounces@mcs.anl.gov" moz-do-not-send="true"><petsc-dev-bounces@mcs.anl.gov></a>
on behalf of Matthew Knepley <a class="moz-txt-link-rfc2396E" href="mailto:knepley@gmail.com" moz-do-not-send="true"><knepley@gmail.com></a><br>
<b>Date: </b>Wednesday, May 11, 2022 at 6:01 AM<br>
<b>To: </b>PETSc <a class="moz-txt-link-rfc2396E" href="mailto:petsc-dev@mcs.anl.gov" moz-do-not-send="true"><petsc-dev@mcs.anl.gov></a><br>
<b>Subject: </b>[petsc-dev] Another SSP method<o:p></o:p></span></p>
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<p class="MsoNormal">Someone from my class requested<o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal"> R. J. Spiteri, S. J. Ruuth, A new class
of optimal high-order strong-stability-<br>
preserving time discretization methods, SIAM J. Numer. Anal.
40 (2002) 469-491.<br clear="all">
<o:p></o:p></p>
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<p class="MsoNormal">which is a fourth order, five stage
method that we do not appear to have. How hard is this to
add?<o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal"> Thanks,<o:p></o:p></p>
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<p class="MsoNormal"> Matt<o:p></o:p></p>
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<p class="MsoNormal">-- <o:p></o:p></p>
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<p class="MsoNormal">What most experimenters
take for granted before they begin their
experiments is infinitely more interesting
than any results to which their experiments
lead.<br>
-- Norbert Wiener<o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal"><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank" moz-do-not-send="true">https://www.cse.buffalo.edu/~knepley/</a><o:p></o:p></p>
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