Browsing by Author "Achar, S.D."

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Symmetric multistep methods with zero phase-lag for periodic initial value problems of second order differential equations
(2006) Saldanha, G.; Achar, S.D.
We present in this paper two-step and four-step symmetric multistep methods involving a parameter p to solve a special class of initial value problems associated with second order ordinary differential equations in which the first derivative does not appear explicitly. It is shown that the methods have zero phase-lag when p is chosen as 2? times the frequency of the given initial value problem. The periodicity intervals are given in terms of expressions involving the parameter p. As p increases, the periodicity intervals increase and for large p, the methods are almost P-stable. 2005 Elsevier Inc. All rights reserved.
Symmetric multistep methods with zero phase-lag for periodic initial value problems of second order differential equations
(2006) Saldanha, G.; Achar, S.D.
We present in this paper two-step and four-step symmetric multistep methods involving a parameter p to solve a special class of initial value problems associated with second order ordinary differential equations in which the first derivative does not appear explicitly. It is shown that the methods have zero phase-lag when p is chosen as 2? times the frequency of the given initial value problem. The periodicity intervals are given in terms of expressions involving the parameter p. As p increases, the periodicity intervals increase and for large p, the methods are almost P-stable. © 2005 Elsevier Inc. All rights reserved.
Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations
(2011) Achar, S.D.
In this paper, symmetric multistep Obrechkoff methods of orders 8 and 12, involving a parameter p to solve a special class of second order initial value problems in which the first order derivative does not appear explicitly, are discussed. It is shown that the methods have zero phase-lag when p is chosen as 2? times the frequency of the given initial value problem. 2011 Elsevier Inc. All rights reserved.
Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations
(2011) Achar, S.D.
In this paper, symmetric multistep Obrechkoff methods of orders 8 and 12, involving a parameter p to solve a special class of second order initial value problems in which the first order derivative does not appear explicitly, are discussed. It is shown that the methods have zero phase-lag when p is chosen as 2? times the frequency of the given initial value problem. © 2011 Elsevier Inc. All rights reserved.