Explicit Numerov type methods with reduced number of stages.
type: Item
instance of: scholarly article
title: Explicit Numerov type methods with reduced number of stages.
zbMATH Open document ID: 1035.65078
DOI: 10.1016/S0898-1221(03)80005-6
publication date: 2003-12-14T00:00:00Z
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 2017175
zbMATH Keywords: Initial value problem
zbMATH Keywords: Numerical results
zbMATH Keywords: Two step methods
zbMATH Keywords: Hybrid methods
zbMATH Keywords: hybrid explicit Numerov type methods
author: Ch. Tsitouras
describes a project that uses: SLCPM12
describes a project that uses: Mathematica
MaRDI profile type: Publication
cites work: Q5569399
cites work: CP methods for the Schrödinger equation revisited
cites work: SLCPM12 -- a program for solving regular Sturm-Liouville problems
cites work: A conditionally \(P\)-stable fourth-order exponential-fitting method for \(y''=f(x,y)\)
cites work: A \(P\)-stable exponentially fitted method for the numerical integration of the Schrödinger equation
cites work: A family of \(P\)-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation
cites work: An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation
cites work: A General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems
cites work: A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
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: An explicit sixth-order method with phase-lag of order eight for \(y''=f(t,y)\)
cites work: Explicit two-step methods with minimal phase-lag for the numerical integration of special second-order initial-value problems and their application to the one-dimensional Schrödinger equation
cites work: Explicit high order methods for the numerical integration of periodic initial-value problems
cites work: Zur numerischen Integration von Differentialgleichungen durch Potenzreihen‐Ansätze, dargestellt an Hand physikalischer Beispiele
cites work: Q3779682
cites work: Intervals of periodicity and absolute stability of explicit Nyström methods for y''=f(x,y)
cites work: Families of Runge-Kutta-Nystrom Formulae
cites work: A tenth-order symplectic Runge-Kutta-Nyström method
cites work: Stabilization of Cowell's classical finite difference method for numerical integration
cites work: Q4023140
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2017175