A generator of families of two-step numerical methods with free parameters and minimal phase-lag
type: Item
instance of: scholarly article
title: A generator of families of two-step numerical methods with free parameters and minimal phase-lag
zbMATH Open document ID: 1421.65017
author: A. Konguetsof
publication date: 2018-02-01T00:00:00Z
review text: In studying oscillating systems, one frequently comes across certain specific second-order ordinary differential equations, in which the first derivative term is absent. The present work considers a families of numerical methods constructed by a ``generator''. These families have constant coefficients and free parameters, which in turn are calculated by employing a condition of minimal phase-leg. Stability and minimal local truncation error properties are studied, and the proposed methods are applied to the time independent Schrödinger equation. Numerical comparisons with other methods in the literature, are presented.
reviewed by: Kanakadurga Sivakumar
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 6833428
zbMATH Keywords: multistep methods
zbMATH Keywords: explicit methods
zbMATH Keywords: hybrid methods
zbMATH Keywords: phase-lag
zbMATH Keywords: phase-fitted
zbMATH Keywords: Schrödinger equation
MaRDI profile type: Publication
full work available at URL: s10910-017-0762-8
OpenAlex ID: W2625059883
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A generator of families of two-step numerical methods with free parameters and minimal phase-lag (DOI)
DOI: 10.1007/S10910-017-0762-8

A generator of families of two-step numerical methods with free parameters and minimal phase-lag (published in)
published in: Journal of Mathematical Chemistry