A generator of families of two-step numerical methods with free parameters and minimal phase-lag

A Konguetsof - Journal of Mathematical Chemistry, 2017 - Springer
This research work is oriented in the behaviour of oscillating systems. In order to study such
problems, we deal with the solution of ordinary second order differential equations. A …

An implicit symmetric linear six-step methods with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial …

I Alolyan, TE Simos - Journal of Mathematical Chemistry, 2016 - Springer
In this paper we develop a new implicit eighth algebraic order symmetric six-step method.
For this method we request for the first time in the literature vanishing of the phase-lag and …

A new two stages tenth algebraic order symmetric six-step method with vanished phase-lag and its first and second derivatives for the solution of the radial …

I Alolyan, TE Simos - Journal of Mathematical Chemistry, 2017 - Springer
The presentation, development and analysis of a new two-stages tenth algebraic order
symmetric six-step method is introduced, for the first time in the literature, in this paper. More …

A family of two stages tenth algebraic order symmetric six-step methods with vanished phase-lag and its first derivatives for the numerical solution of the radial …

I Alolyan, TE Simos - Journal of Mathematical Chemistry, 2016 - Springer
In this paper, we introduce (first time in the literature) a family of two-stages high algebraic
order symmetric six-step methods—especially one of them which is phase-fitted and another …

A new eight algebraic order embedded explicit six-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of …

I Alolyan, TE Simos - Journal of Mathematical Chemistry, 2016 - Springer
A new embedded symmetric six-step method with vanished phase-lag and its first, second,
third and fourth derivatives is obtained for the first time in the literature in this paper. More …

Two stages six-step method with eliminated phase-lag and its first, second, third and fourth derivatives for the approximation of the Schrödinger equation

MA Medvedev, TE Simos - Journal of Mathematical Chemistry, 2017 - Springer
For the first time in the literature, a new two-stages symmetric six-step algorithm is
developed and analyzed. The new algorithm has: tenth algebraic order (which is the highest …

New two stages high order symmetric six-step method with vanished phase–lag and its first, second and third derivatives for the numerical solution of the Schrödinger …

I Alolyan, TE Simos - Journal of Mathematical Chemistry, 2017 - Springer
In the present paper, we obtain and analyze, for the first time in the literature, a new two-
stages high order symmetric six-step method. The specific characteristics of the new …

Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation

DB Berg, TE Simos - Journal of Mathematical Chemistry, 2017 - Springer
For the first time in the literature we develop in this paper a three stages symmetric six-step
scheme with twelfth algebraic and eliminated phase-lag and its first derivative. An additional …

High order computationally economical six-step method with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation

DB Berg, TE Simos - Journal of Mathematical Chemistry, 2017 - Springer
A computationally economical symmetric six-step algorithm with high algebraic and phase-
lag order is obtained in this paper, for the first time in the literature. Some characteristics of …

An efficient six-step method for the solution of the Schrödinger equation

DB Berg, TE Simos - Journal of Mathematical Chemistry, 2017 - Springer
In this paper we develop an efficient six-step method for the solution of the Schrödinger
equation and related problems. The characteristics of the new obtained scheme are: It is of …