ERROR OF ROSENBROCK METHODS FOR STIFF PROBLEMS STUDIED VIA DIFFERENTIAL ALGEBRAIC EQUATIONS

被引:33
|
作者
HAIRER, E [1 ]
LUBICH, C [1 ]
ROCHE, M [1 ]
机构
[1] UNIV GENEVE, FAC SCI, MATH SECT, CH-1211 GENEVE, SWITZERLAND
关键词
D O I
10.1007/BF01932707
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
引用
收藏
页码:77 / 90
页数:14
相关论文
共 50 条
  • [1] ERROR OF RUNGE-KUTTA METHODS FOR STIFF PROBLEMS STUDIED VIA DIFFERENTIAL ALGEBRAIC EQUATIONS
    HAIRER, E
    LUBICH, C
    ROCHE, M
    [J]. BIT, 1988, 28 (03): : 678 - 700
  • [2] ROSENBROCK METHODS FOR DIFFERENTIAL ALGEBRAIC EQUATIONS
    ROCHE, M
    [J]. NUMERISCHE MATHEMATIK, 1988, 52 (01) : 45 - 63
  • [3] Modified parallel Rosenbrock methods for stiff differential equations
    Cao, XN
    Li, SF
    Liu, DG
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 20 (01) : 23 - 34
  • [4] MODIFIED PARALLEL ROSENBROCK METHODS FOR STIFF DIFFERENTIAL EQUATIONS
    Xue-nian Cao Shou-fu Li (Institute for Computational and Applied Mathematics
    [J]. Journal of Computational Mathematics, 2002, (01) : 23 - 34
  • [5] IMPLICIT-EXPLICIT RUNGE-KUTTA-ROSENBROCK METHODS WITH ERROR ANALYSIS FOR NONLINEAR STIFF DIFFERENTIAL EQUATIONS
    Huang, Bin
    Xiao, Aiguo
    Zhang, Gengen
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 39 (04) : 555 - 576
  • [6] Stability of the Rosenbrock methods for the neutral delay differential-algebraic equations
    Zhao, JJ
    Xu, Y
    Dong, SY
    Liu, MZ
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) : 1128 - 1144
  • [7] Rosenbrock schemes with complex coefficients for stiff and differential algebraic systems
    Al'shin A.B.
    Al'shina E.A.
    Kalitkin N.N.
    Koryagina A.B.
    [J]. Computational Mathematics and Mathematical Physics, 2006, 46 (8) : 1320 - 1340
  • [8] A RELIABLE ROSENBROCK INTEGRATOR FOR STIFF DIFFERENTIAL-EQUATIONS
    GOTTWALD, BA
    WANNER, G
    [J]. COMPUTING, 1981, 26 (04) : 355 - 360
  • [9] Stability analysis of explicit exponential Rosenbrock methods for stiff differential equations with constant delay
    Zhan, Rui
    Fang, Jinwei
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2024, 482
  • [10] A CLASS OF RUNGE-KUTTA-ROSENBROCK METHODS FOR SOLVING STIFF DIFFERENTIAL-EQUATIONS
    VERWER, JG
    SCHOLZ, S
    BLOM, JG
    LOUTERNOOL, M
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1983, 63 (01): : 13 - 20