Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Gholamreza Hojjati"'
Publikováno v:
Mathematical Modelling and Analysis, Vol 29, Iss 4 (2024)
In this paper, we construct explicit second derivative general linear methods (SGLMs) with quadratic stability and a large region of absolute stability for the numerical solution of non-stiff ODEs. The methods are constructed in two different cases:
Externí odkaz:
https://doaj.org/article/904d9efd630b4f2d9887fbcd5309aad3
Publikováno v:
Mathematical Modelling and Analysis, Vol 28, Iss 1 (2023)
Construction of second derivative diagonally implicit multistage integration methods (SDIMSIMs) as a subclass of second derivative general linear methods with Runge–Kutta stability property requires to generate the corresponding conditions dependin
Externí odkaz:
https://doaj.org/article/501e1fd8f301441c852f4c65394ab1c7
Publikováno v:
Mathematical Modelling and Analysis, Vol 24, Iss 4 (2019)
In this paper, we describe the construction of a class of methods with a large area of the stability region for solving Volterra integro-differential equations. In the structure of these methods which is based on a subclass of explicit general linear
Externí odkaz:
https://doaj.org/article/929c63b16b0f4019ad5a214dcbd5e507
Autor:
Ali Abdi, Gholamreza Hojjati
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 5, Iss 2, Pp 1-10 (2015)
We describe the construction of second derivative general linear methods (SGLMs) of orders five and six. We will aim for methods which are A--stable and have Runge--Kutta stability property. Some numerical results are given to show the
Externí odkaz:
https://doaj.org/article/24dc75a3a7a14eaf9eda7e653476f16f
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:
Iranian Journal of Numerical Analysis and Optimization, Vol 4, Iss 1, Pp 25-39 (2014)
Long time integration of large stiff systems of initial value problems, arising from chemical reactions, demands efficient methods with good accuracy and extensive absolute stability region. In this paper, we apply second derivative general linear me
Externí odkaz:
https://doaj.org/article/62875f39990f4dc0b19d11f188a8a5a8
Publikováno v:
ANZIAM Journal. 64:264-291
When faced with the task of solving hyperbolic partial differential equations (PDEs), high order, strong stability-preserving (SSP) time integration methods are often needed to ensure preservation of the nonlinear strong stability properties of spati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82f7d2a1a3f32c53b4181e540ea72ff4
https://doi.org/10.21914/anziamj.v64.17285
https://doi.org/10.21914/anziamj.v64.17285
Publikováno v:
The ANZIAM Journal. 64:264-291
When faced with the task of solving hyperbolic partial differential equations (PDEs), high order, strong stability-preserving (SSP) time integration methods are often needed to ensure preservation of the nonlinear strong stability properties of spati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03068c3ea2b5a85ac14463835dc66299
https://doi.org/10.1017/s1446181122000128
https://doi.org/10.1017/s1446181122000128
Publikováno v:
Computational and Applied Mathematics. 42
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72729d91f985cd5fa654d646fb9ca636
https://doi.org/10.1007/s40314-023-02336-4
https://doi.org/10.1007/s40314-023-02336-4
Publikováno v:
Numerical Algorithms. 91:227-250
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aecaae3731c29424ba819900e7f0255e
https://doi.org/10.1007/s11075-022-01260-8
https://doi.org/10.1007/s11075-022-01260-8