Taylor Series Method for Second-Order Polynomial ODEs

被引:0
|
作者
Latypov, Viktor [1 ]
Sokolov, Sergei [1 ]
机构
[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An algorithm for numerical integration of non-linear Lagrange equations is presented. Formulas for approximate solutions are derived using the Taylor Series Method. Radius of convergence of estimates and error bounds are given.
引用
收藏
页码:62 / 64
页数:3
相关论文
共 50 条
  • [21] Adaptive finite elements for a set of second-order ODEs
    Urban, Jakub
    Preinhaelter, Josef
    JOURNAL OF PLASMA PHYSICS, 2006, 72 (06) : 1041 - 1044
  • [22] Point equivalence of second-order ODEs: Maximal invariant classification order
    Milson, Robert
    Valiquette, Francis
    JOURNAL OF SYMBOLIC COMPUTATION, 2015, 67 : 16 - 41
  • [23] A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions
    Yan, Jian-Ping
    Guo, Ben-Yu
    NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2011, 4 (02) : 283 - 295
  • [24] A semidefinite relaxation method for second-order cone polynomial complementarity problems
    Cheng, Lulu
    Zhang, Xinzhen
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2020, 75 (03) : 629 - 647
  • [25] A semidefinite relaxation method for second-order cone polynomial complementarity problems
    Lulu Cheng
    Xinzhen Zhang
    Computational Optimization and Applications, 2020, 75 : 629 - 647
  • [26] The Polynomial Nonlinearities Analysis based on the Second-order Normal Form Method
    Xin, Zhenfang
    Zuo, Zhengxing
    Feng, Huihua
    PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2012) / INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2012), 2012, : 2591 - 2600
  • [27] ON SECOND-ORDER TAYLOR EXPANSION OF CRITICAL VALUES
    Buetikofer, Stephan
    Klatte, Diethard
    Kummer, Bernd
    KYBERNETIKA, 2010, 46 (03) : 472 - 487
  • [28] Interval harmonic power flow for microgrids: an approach using the second-order Taylor series
    de Sousa, Leticia L. S.
    Melo, Igor D.
    Variz, Abilio M.
    ELECTRICAL ENGINEERING, 2024, 106 (05) : 5919 - 5935
  • [29] Offline Signature Verification Based on Partial Sum of Second-Order Taylor Series Expansion
    Shekar, B. H.
    Pilar, Bharathi
    Kumar, D. S. Sunil
    DATA ANALYTICS AND LEARNING, 2019, 43 : 359 - 367
  • [30] Jacobi fields and linear connections for arbitrary second-order ODEs
    Jerie, M
    Prince, GE
    JOURNAL OF GEOMETRY AND PHYSICS, 2002, 43 (04) : 351 - 370