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[Octave-bug-tracker] [bug #46074] missing function ode23tb


From: Markus Mützel
Subject: [Octave-bug-tracker] [bug #46074] missing function ode23tb
Date: Tue, 24 Aug 2021 11:14:17 -0400 (EDT)
User-agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/92.0.4515.159 Safari/537.36 Edg/92.0.902.78

Follow-up Comment #9, bug #46074 (project octave):

>From their website:
https://de.mathworks.com/help/matlab/ref/ode23tb.html
> ode23tb is an implementation of TR-BDF2, an implicit Runge-Kutta formula
with a trapezoidal rule step as its first stage and a backward differentiation
formula of order two as its second stage. By construction, the same iteration
matrix is used in evaluating both stages. Like ode23s and ode23t, this solver
may be more efficient than ode15s for problems with crude tolerances [1],
[2].

I guess that means that the TR-BDF2 algorithm would be at the heart of the
implementation.

Preferably, the interface to the new function would be compatible to Matlab's
`ode23tb`. So, this interface should be implemented additionally to the actual
algorithm.


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