Trigonometrically-fitted symmetric multistep methods for the approximate solution of orbital problems

被引：9
|
作者：
Psihoyios, G
Simos, TE
机构：
[1] Anglia Polytech Univ, Sch Appl Sci, Dept Math, Cambridge CB1 1PT, England
[2] Univ Peloponnese, Fac Sci & Technol, Dept Comp Sci & Technol, GR-22100 Tripolis, Greece
来源：
NEW ASTRONOMY | 2003年 / 8卷 / 07期
关键词：
methods; numerical;
D O I：
10.1016/S1384-1076(03)00059-9
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
An explicit hybrid symmetric eight-step method of algebraic order ten is presented in this paper. Numerical comparative results from the application of the new method to well-known periodic orbital problems, clearly demonstrate the superior efficiency of the method presented in this paper. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：679 / 690
页数：12
相关论文
共 50 条
  • [21] Trigonometrically-fitted Scheifele two-step methods for perturbed oscillators
    You, Xiong
    Zhang, Yonghui
    Zhao, Jinxi
    COMPUTER PHYSICS COMMUNICATIONS, 2011, 182 (07) : 1481 - 1490
  • [22] A family of trigonometrically-fitted partitioned Runge-Kutta symplectic methods
    Monovasills, Th.
    Kalogiratou, Z.
    Simos, T. E.
    COMPUTATION IN MODERN SCIENCE AND ENGINEERING VOL 2, PTS A AND B, 2007, 2 : 1306 - +
  • [23] A trigonometrically fitted Runge-Kutta method for the numerical solution of orbital problems
    Anastassi, ZA
    Simos, TE
    NEW ASTRONOMY, 2005, 10 (04) : 301 - 309
  • [24] Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems
    Simos, T. E.
    APPLIED MATHEMATICS LETTERS, 2009, 22 (10) : 1616 - 1621
  • [25] Closed Newton-Cotes Trigonometrically-Fitted Formulae for the Solution of the Schrodinger Equation
    Simos, T. E.
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2008, 60 (03) : 787 - 801
  • [26] A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative
    Ramos, Higinio
    Vigo-Aguiar, J.
    COMPUTER PHYSICS COMMUNICATIONS, 2014, 185 (04) : 1230 - 1236
  • [27] Exponentially-fitted and trigonometrically-fitted implicit RKN methods for solving y" = f (t, y)
    Zhai, Wenjuan
    Fu, Shuhuan
    Zhou, Tianchong
    Xiu, Chun
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (02) : 1449 - 1466
  • [28] Two-frequency trigonometrically-fitted and symmetric linear multi-step methods for second-order oscillators
    Fang, Yonglei
    Huang, Ting
    You, Xiong
    Zheng, Juan
    Wang, Bin
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 392
  • [29] A trigonometrically-fitted P-stable multistep method for the numerical integration of the N-body problem
    Anastassi, Z. A.
    Simos, T. E.
    RECENT PROGRESS IN COMPUTATIONAL SCIENCES AND ENGINEERING, VOLS 7A AND 7B, 2006, 7A-B : 455 - 457
  • [30] Trigonmetrically-fitted partitioned multistep methods for the integration of orbital problems
    Simos, TE
    NEW ASTRONOMY, 2004, 9 (06): : 409 - 415
12345