High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems
type: Item
instance of: scholarly article
title: High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems
zbMATH Open document ID: 1021.65036
DOI: 10.1016/S0096-3003(01)00133-3
author: Ch. Tsitouras
author: T. E. Simos
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 1861162
zbMATH Keywords: error bounds
zbMATH Keywords: numerical examples
zbMATH Keywords: second-order differential equations
zbMATH Keywords: oscillating solutions
zbMATH Keywords: interval of periodicity
zbMATH Keywords: high-order explicit methods
zbMATH Keywords: phase-lag
zbMATH Keywords: embedded Numerov-type method
zbMATH Keywords: periodic initial-value problems
MaRDI profile type: Publication
cites work: A one-step method for direct integration of structural dynamic equations
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: Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
cites work: High-Order Embedded Runge-Kutta-Nystrom Formulae
cites work: Solving Ordinary Differential Equations I
cites work: A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations
cites work: Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
cites work: Symmetric Multistip Methods for Periodic Initial Value Problems
cites work: Q5569399
cites work: Continuous extensions to high order runge-kutta methods
cites work: A General Family of Explicit Runge–Kutta Pairs of Orders $6(5)$
cites work: An explicit almost \(P\)-stable two-step method with phase-lag of order infinity for the numerical integration of second-order periodic initial- value problems
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: A \(P\)-stable eighth-order method for the numerical integration of periodic initial-value problems
cites work: Stabilization of Cowell's method
cites work: Phase properties of high order, almost P-stable formulae
cites work: Cheap Error Estimation for Runge--Kutta Methods
full work available at URL: s0096-3003(01)00133-3
OpenAlex ID: W2073984381
description: scientific article; zbMATH DE number 1861162