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The B-series composition theorem has been an important topic in numerical analysis of ordinary differential equations for the past-half century. Traditional proofs of this theorem rely on labelled trees, whereas recent developments in B-series analys
Externí odkaz:
http://arxiv.org/abs/2409.08533
In this paper, we propose linearly implicit and arbitrary high-order conservative numerical schemes for ordinary differential equations with a quadratic invariant. Many differential equations have invariants, and numerical schemes for preserving them
Externí odkaz:
http://arxiv.org/abs/2203.00944
Autor:
Butcher, John C., Podhaisky, Helmut
The conditions for a Runge--Kutta method to be of order $p$ with $p\ge 5$ for a scalar non-autonomous problem are a proper subset of the order conditions for a vector problem. Nevertheless, Runge--Kutta methods that were derived historically only for
Externí odkaz:
http://arxiv.org/abs/2112.01608
Publikováno v:
Nonprofit Policy Forum, Vol 3, Iss 2 (2012)
The Australian Labor Party (ALP) formed government under Prime Minister Kevin Rudd in 2007 promising to consult with the not-for-profit sector on the development of a national compact. It was the government’s aim to forge a new settlement with the
Externí odkaz:
https://doaj.org/article/aaac19bd01f14cc1a994118464629bb1
