Second derivative general linear methods

2013 ◽  
Vol 67 (3) ◽  
pp. 637-654 ◽  
Author(s):  
R. I. Okuonghae ◽  
M. N. O. Ikhile
Keyword(s):  
General Linear Methods ◽  
General Linear ◽  
Second Derivative

Global error estimation for explicit second derivative general linear methods

2021 ◽  
Author(s):  
Ali Abdi ◽  
Gholamreza Hojjati ◽  
Giuseppe Izzo ◽  
Zdzislaw Jackiewicz
Keyword(s):  
Error Estimation ◽  
General Linear Methods ◽  
Global Error ◽  
General Linear ◽  
Second Derivative ◽  
Global Error Estimation

Perturbed second derivative multistep methods

2015 ◽  
Vol 23 (3) ◽  
Author(s):  
Ali K. Ezzeddine ◽  
Gholamreza Hojjati ◽  
Ali Abdi
Keyword(s):  
Numerical Experiments ◽  
Multistep Methods ◽  
Point Of View ◽  
General Linear Methods ◽  
General Linear ◽  
Second Derivative ◽  
Stiff Systems ◽  
Stability Properties

AbstractExtended second derivative multistep methods and their modified form have been introduced as efficient numerical solvers for stiff systems. Considering these methods from second derivative general linear methods point of view, we construct some perturbations of these methods which improve their stability properties while preserve their order. Numerical experiments confirm efficiency of the constructed perturbed methods.

Second derivative general linear methods with inherent Runge–Kutta stability

2016 ◽  
Vol 73 (2) ◽  
pp. 371-389 ◽  
Author(s):  
A. Movahedinejad ◽  
G. Hojjati ◽  
A. Abdi
Keyword(s):  
General Linear Methods ◽  
General Linear ◽  
Second Derivative ◽  
Runge Kutta

Implementation of second derivative general linear methods

CALCOLO ◽  
2020 ◽  
Vol 57 (3) ◽  
Author(s):  
Ali Abdi ◽  
Dajana Conte
Keyword(s):  
General Linear Methods ◽  
General Linear ◽  
Second Derivative
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