A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems

In this article we develop a family of three explicit symmetric linear four-step methods. The new methods, with nullified phase-lag, are optimized for the efficient solution of the Schrödinger equation and related oscillatory problems. We perform an analysis of the local truncation error of the meth...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Applied mathematics and computation 2012, Vol.218 (9), p.5370-5382
Hauptverfasser:	Alolyan, I., Anastassi, Z.A., Simos, T.E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Computation Duffing’s problem Intervals Mathematical analysis Mathematical models Maximum power Numerical solution Ordinary differential equations Oscillating solutions Periodical solutions Phase fitting Schroedinger equation Schrödinger equation Symmetric linear multistep methods Truncation errors
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!