B-series and B-series Coefficients

被引:0
|
作者
Butcher, J. C. [1 ]
机构
[1] Univ Auckland, Auckland 1, New Zealand
关键词
B-series; Hopf algebra; Runge-Kutta method;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
B-series, together with the algebraic system which underpins them, are essential tools in the study of properties of numerical methods for evolutionary problems. This paper surveys the properties of these constructs and relates the theory to applications in numerical analysis.
引用
收藏
页码:7 / 10
页数:4
相关论文
共 50 条
  • [41] Time and strict partial order (A-series, B-series, relativity, theories)
    Lango, JW
    AMERICAN PHILOSOPHICAL QUARTERLY, 2000, 37 (04) : 373 - 387
  • [42] Tree hook length formulae, Feynman rules and B-series
    Jones, Bradley R.
    Yeats, Karen
    ANNALES DE L INSTITUT HENRI POINCARE D, 2015, 2 (04): : 413 - 430
  • [43] Relations between the Hopf algebra and the B-series with new concepts
    T. M. H. Chan
    Numerical Algorithms, 2014, 65 : 669 - 685
  • [44] Computational analysis on B-series propeller performance in open water
    Adam N.A.
    Fitriadhy A.
    Quah C.J.
    Haryanto T.
    Fitriadhy, A. (naoe.afit@gmail.com), 1600, Springer Science and Business Media Deutschland GmbH (15): : 299 - 307
  • [45] B-SERIES TEMPORAL-ORDER IN DOGEN THEORY OF TIME
    VORENKAMP, D
    PHILOSOPHY EAST & WEST, 1995, 45 (03): : 387 - 408
  • [46] Composition of stochastic B-series with applications to implicit Taylor methods
    Debrabant, Kristian
    Kvaerno, Anne
    APPLIED NUMERICAL MATHEMATICS, 2011, 61 (04) : 501 - 511
  • [47] Relations between the Hopf algebra and the B-series with new concepts
    Chan, T. M. H.
    NUMERICAL ALGORITHMS, 2014, 65 (03) : 669 - 685
  • [48] COMPUTER-AIDED PROPELLER PRELIMINARY DESIGN USING THE B-SERIES
    TRIANTAFYLLOU, MS
    MARINE TECHNOLOGY AND SNAME NEWS, 1979, 16 (04): : 381 - 391
  • [49] Higher-Order Averaging, Formal Series and Numerical Integration I: B-series
    P. Chartier
    A. Murua
    J. M. Sanz-Serna
    Foundations of Computational Mathematics, 2010, 10 : 695 - 727
  • [50] Higher-Order Averaging, Formal Series and Numerical Integration I: B-series
    Chartier, P.
    Murua, A.
    Sanz-Serna, J. M.
    FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2010, 10 (06) : 695 - 727