New open modified Newton Cotes type formulae as multilayer symplectic integrators-Reference-Cited by-同舟云学术

New open modified Newton Cotes type formulae as multilayer symplectic integrators

Published:2013-02 Issue:4 Volume:37 Page:1983-1991
ISSN:0307-904X
Container-title:Applied Mathematical Modelling
language:en
Short-container-title:Applied Mathematical Modelling

Author:

Simos T.E.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation

Reference24 articles.

1. Numerical methods with a high order of accuracy in the quantum system;Zhu;J. Chem. Phys.,1996

2. Open Newton Cotes differential methods as multilayer symplectic integrators;Chiou;J. Chem. Phys.,1997

3. Newton Cotes formulae for long-time integration;Kalogiratou;J. Comput. Appl. Math.,2003

4. Closed Newton Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems;Simos;Appl. Math. Lett.,2009

5. High order closed Newton Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation;Simos;Appl. Math. Comput.,2009

Cited by 39 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A New Methodology for the Development of Efficient Multistep Methods for First-Order Initial Value Problems with Oscillating Solutions: III the Role of the Derivative of the Phase Lag and the Derivative of the Amplification Factor;Axioms;2024-07-29

2. Efficient Multistep Algorithms for First-Order IVPs with Oscillating Solutions: II Implicit and Predictor–Corrector Algorithms;Symmetry;2024-04-23

3. A New Methodology for the Development of Efficient Multistep Methods for First-Order IVPs with Oscillating Solutions;Mathematics;2024-02-06

4. Algorithm for the development of families of numerical methods based on phase-lag Taylor series;Journal of Mathematical Chemistry;2019-11-21

5. New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems;Journal of Mathematical Chemistry;2018-12-07