Second derivative general linear methods

RI Okuonghae, MNO Ikhile - Numerical Algorithms, 2014 - Springer
A class of second derivative Runge Kutta methods (SD-RKM) which has a simple
transformation to the general linear methods (GLM) are employed for the numerical …

L(α)-Stable Multi-Derivative GLM

RI Okuonghae, MNO Ikhile - Journal of Algorithms & …, 2015 - journals.sagepub.com
This paper considers multi-derivative general linear methods and thus presents some
second and third derivative general linear methods of orders 5, 7 and 10 in its output …

L(α)-stable variable-order implicit second derivative Runge-Kutta methods

RI Okuonghae, MNO Ikhile - Numerical Analysis and Applications, 2014 - Springer
This paper considers the extension of the popular Runge-Kutta methods (RKM) to second
derivative Runge-Kutta methods (SDRKMs) for the direct solution of stiff initial value …

A-stable high order hybrid linear multistep methods for stiff problems

RI Okuonghae - Journal of Algorithms & Computational …, 2014 - journals.sagepub.com
A-Stable High Order Hybrid Linear Multistep Methods for Stiff Problems Page 1 Journal of
Algorithms & Computational Technology Vol. 8 No. 4 441 A-stable High Order Hybrid Linear …

Variable order explicit second derivative general linear methods

RI Okuonghae - Computational and Applied Mathematics, 2014 - Springer
Explicit second derivative general linear methods (ESDGLM) form an extension of the
general linear methods (GLM). These special class of methods are designed for the …

[PDF][PDF] High-order Hybrid Obreshkov Methods

RI Okuonghae, IB Aiguobasimwin - IAENG International Journal of …, 2018 - iaeng.org
In this paper, a family of high order Obreshkov hybrid formulas are proposed for the
numerical solution of first order initial value problems (IVPs) in ordinary differential equations …

A family of highly stable second derivative block methods for stiff IVPs in ODEs

RI Okuonghae, MNO Ikhile - Numerical Analysis and Applications, 2014 - Springer
This paper considers a class of highly stable block methods for numerically solving initial
value problems (IVPs) in ordinary differential equations (ODEs). The boundary locus of the …

Second derivative GLM with nearly ARK stability

RI Okuonghae, MNO Ikhile - Journal of Numerical Mathematics, 2014 - degruyter.com
This paper considers a special subclass of second derivative general linear methods (SD-
GLM). This new class of methods will be known as the second derivative GLMwith nearly …

Stiffly stable second derivative linear multistep methods with two hybrid points

RI Okuonghae, MNO Ikhile - Numerical Analysis and Applications, 2015 - Springer
Stiffly Stable Second Derivative Linear Multistep Methods with Two Hybrid Points Page 1 ISSN
1995-4239, Numerical Analysis and Applications, 2015, Vol. 8, No. 3, pp. 248–259. c Pleiades …

-устойчивые неявные методы Рунге–Кутты переменного порядка со второй производной

РИ Окуонгае, МНО Ихиле - Сибирский журнал вычислительной …, 2014 - mathnet.ru
В данной статье рассматривается обобщение популярных методов Рунге–Кутты (МРК)
до методов Рунге–Кутты со второй производной (МРКВП) для прямого решения …