Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Nordsieck methods"'
Construction of Nordsieck Second Derivative General Linear Methods with Inherent Quadratic Stability
Publikováno v:
Mathematical Modelling and Analysis, Vol 22, Iss 1 (2017)
This paper describes the construction of second derivative general linear methods in Nordsieck form with stability properties determined by quadratic stability functions. This is achieved by imposing the so–called inherent quadratic stability condi
Externí odkaz:
https://doaj.org/article/a4826420d4c545b391b0fe2d279b89af
Publikováno v:
STATISTICS AND COMPUTING. 29(1):99-122
Publikováno v:
Mathematical Modelling and Analysis, Vol 17, Iss 3 (2012)
We describe the search for explicit general linear methods in Nordsieck form for which the stability function has only two nonzero roots. This search is based on state-of-the-art optimization software. Examples of methods found in this way are given
Externí odkaz:
https://doaj.org/article/928d8ef7ea274fada20df431064e736c
Autor:
M. Braś
Publikováno v:
Mathematical Modelling and Analysis, Vol 16, Iss 1 (2011)
We derive suffcient conditions which guarantee that the stability polynomial of Nordsieck method for ordinary differential equations has only two nonzero roots. Examples of such methods up to order four are presented which are A-and L-stable. These e
Externí odkaz:
https://doaj.org/article/88fc3577a0314d1885d0d005763fceb4
CONSTRUCTION OF NORDSIECK SECOND DERIVATIVE GENERAL LINEAR METHODS WITH INHERENT QUADRATIC STABILITY
Publikováno v:
Mathematical Modelling and Analysis; Vol 22 No 1 (2017); 60-77
Mathematical Modelling and Analysis, Vol 22, Iss 1 (2017)
Mathematical Modelling and Analysis, Vol 22, Iss 1 (2017)
This paper describes the construction of second derivative general linear methods in Nordsieck form with stability properties determined by quadratic stability functions. This is achieved by imposing the so–called inherent quadratic stability condi
Publikováno v:
Journal of Computational and Applied Mathematics. 290:44-64
We describe the derivation of order conditions, without restrictions on stage order, for general linear methods for ordinary differential equations. This derivation is based on the extension of the Albrecht approach proposed in the context of Runge-K
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Like many numerical methods, solvers for initial value problems (IVPs) on ordinary differential equations estimate an analytically intractable quantity, using the results of tractable computations as inputs. This structure is closely connected to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50928ec0e8156bd458574c8a05da4c9a
http://arxiv.org/abs/1610.05261
http://arxiv.org/abs/1610.05261
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.