ROBUST DEFECT CONTROL WITH RUNGE-KUTTA SCHEMES

被引:25
|
作者
HIGHAM, DJ [1 ]
机构
[1] UNIV MANCHESTER,DEPT MATH,MANCHESTER M13 9PL,LANCS,ENGLAND
关键词
D O I
10.1137/0726065
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:1175 / 1183
页数:9
相关论文
共 50 条
  • [1] Robust and reliable defect control for Runge-Kutta methods
    Enright, W. H.
    Hayes, Wayne B.
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2007, 33 (01):
  • [2] Runge-Kutta schemes in control constrained optimal control
    Pulova, Nedka V.
    LARGE-SCALE SCIENTIFIC COMPUTING, 2008, 4818 : 358 - 365
  • [3] Acceleration of Runge-Kutta integration schemes
    Phohomsiri, P
    Udwadia, FE
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2004, 2004 (02) : 307 - 314
  • [4] Numerical smoothing of Runge-Kutta schemes
    Sun, Tong
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (04) : 1056 - 1062
  • [5] Computations with inverse Runge-Kutta schemes
    Kalitkin N.N.
    Poshivaylo I.P.
    Mathematical Models and Computer Simulations, 2014, 6 (3) : 272 - 285
  • [6] Runge-Kutta Residual Distribution Schemes
    Warzynski, Andrzej
    Hubbard, Matthew E.
    Ricchiuto, Mario
    JOURNAL OF SCIENTIFIC COMPUTING, 2015, 62 (03) : 772 - 802
  • [7] A Runge-Kutta BVODE Solver with Global Error and Defect Control
    Boisvert, Jason J.
    Muir, Paul H.
    Spiteri, Raymond J.
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2013, 39 (02):
  • [8] Runge-Kutta software with defect control for boundary value ODEs
    Enright, WH
    Muir, PH
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1996, 17 (02): : 479 - 497
  • [9] Entropy Production by Explicit Runge-Kutta Schemes
    Lozano, Carlos
    JOURNAL OF SCIENTIFIC COMPUTING, 2018, 76 (01) : 521 - 564
  • [10] LOW-STORAGE RUNGE-KUTTA SCHEMES
    WILLIAMSON, JH
    JOURNAL OF COMPUTATIONAL PHYSICS, 1980, 35 (01) : 48 - 56