A note on multi-step difference schemes

被引：0
|
作者：
Guo, Bing [1 ]
Wang, Ren-Hong [1 ]
Zhu, Chun-Gang [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 236卷 / 05期
关键词：
Algebraic function; Difference scheme; Unstable; ODE; STABILITY; ORDER; PADE;
D O I：
10.1016/j.cam.2011.06.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Constructing multi-step difference schemes is important for solving ODE numerically. In this paper, by using an algebraic function approximation to the exponent function, linear multi-step schemes for solving ODE are deduced. The approximation order of this linear multi-step scheme equals that of the algebraic function approximation to e(z). Moreover, we show that the linear n-step difference scheme of order 2n is unstable, which is proved in a novel way. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：647 / 652
页数：6
相关论文
共 50 条
  • [41] Multi-step methods for equations
    Kumar S.
    Sharma J.R.
    Argyros I.K.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2024, 70 (4) : 1193 - 1215
  • [42] What is a 'step' in a multi-step pathogenesis of leukemia?
    Jankovic, GM
    Colovic, MD
    Bogdanovic, AD
    Vukanic, D
    Andolina, M
    Anagnostopoulos, A
    LEUKEMIA RESEARCH, 1996, 20 (06) : 531 - 532
  • [43] Temporal difference learning with multi-step returns for intelligent optimal control of dynamic systems☆
    Xin, Peng
    Wang, Ding
    Liu, Ao
    Qiao, Junfei
    NEUROCOMPUTING, 2025, 622
  • [44] ANOTEON:MULTI-STEP APPROXIMATION SCHEMES FOR THE FIXED POINTS OF FINITE FAMILY OF ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS
    Mogbademu, Adesanmi Alao
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2013, 1 (02): : 106 - 112
  • [45] Boosting multi-step autoregressive forecasts
    Ben Taieb, Souhaib
    Hyndman, Rob J.
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 32 (CYCLE 1), 2014, 32
  • [46] MULTI-STEP STRIPPING ON DEFORMED NUCLEI
    LUKYANOV, VK
    PETKOV, IZ
    PHYSICS LETTERS B, 1969, B 28 (06) : 368 - &
  • [47] Multi-Step Planning for Robotic Manipulation
    Pflueger, Max
    Sukhatme, Gaurav S.
    2015 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION (ICRA), 2015, : 2496 - 2501
  • [48] A multi-step method for speaker identification
    Savastano, M.
    Luciano, A.
    Pagano, A.
    Peticone, B.
    Riccardi, L.
    2006 IEEE INFORMATION ASSURANCE WORKSHOP, 2006, : 393 - +
  • [49] A multi-step conference for cooperative broadcast
    Dabora, Ron
    Servetto, Sergio D.
    2006 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1-6, PROCEEDINGS, 2006, : 2190 - +
  • [50] A TEST FOR IMPROVED MULTI-STEP FORECASTING
    Haywood, John
    Wilson, Granville Tunnicliffe
    JOURNAL OF TIME SERIES ANALYSIS, 2009, 30 (06) : 682 - 707
12345