URL:
  <https://savannah.gnu.org/bugs/?66695>

                 Summary: Feature: additional high order ODE solvers (Feagin,
Verner)
                   Group: GNU Scientific Library
               Submitter: mangrove84
               Submitted: Wed 22 Jan 2025 03:31:30 PM CET
                Category: None
                Severity: 3 - Normal
        Operating System:
                  Status: None
             Assigned to: None
             Open/Closed: Open
         Discussion Lock: Any
                 Release: v2.8


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Follow-up Comments:


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Date: Wed 22 Jan 2025 03:31:30 PM CET By: Christian Krueger <mangrove84>
We offer a patch against v2.8 that implements a few more embedded Runge-Kutta
type solvers.

In particular, these are three Verner integrators of orders 7, 8, and 9
(https://www.sfu.ca/~jverner/) and the highly accurate Feagin integrators of
orders 10, 12, 14 (https://sce.uhcl.edu/rungekutta/).

These integrators offer a larger variety of ODE solvers, in particular those
of higher order, as are already available in other libraries. These
integrators are usually recommended when high-order RK solvers are being
discussed. Currently, only Prince-Dormand is available in GSL and I found
these additional integrators useful when testing my code.

The patch also adjusts the documentation and extends the test suite.







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File Attachments:


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Name: feagin_verner.patch  Size: 187KiB
<https://file.savannah.gnu.org/file/feagin_verner.patch?file_id=56800>

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