High-order methods with minimal phase-lag for the numerical integration of the special second-order initial value problem and their application to the one-dimensional Schrödinger equation
type: Item
instance of: scholarly article
title: High-order methods with minimal phase-lag for the numerical integration of the special second-order initial value problem and their application to the one-dimensional Schrödinger equation
zbMATH Open document ID: 0855.65085
DOI: 10.1016/0010-4655(93)90106-M
published in: Computer Physics Communications
publication date: 1997-02-20T00:00:00Z
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 933315
zbMATH Keywords: two-step sixth-order methods with phase-lag
zbMATH Keywords: second-order initial value problem
zbMATH Keywords: interval of periodicity
zbMATH Keywords: Numerov method
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: resonance problem
author: T. E. Simos
MaRDI profile type: Publication
cites work: High-accuracy P-stable Methods for y″ = f(t, y)
cites work: A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
cites work: A one-step method for direct integration of structural dynamic equations
cites work: Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
cites work: Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
full work available at URL: 0010-4655(93)90106-m
OpenAlex ID: W2011318476
description: scientific article; zbMATH DE number 933315