MONO-IMPLICIT RUNGE-KUTTA FORMULAS FOR THE NUMERICAL-INTEGRATION OF STIFF DIFFERENTIAL-SYSTEMS

被引:54
|
作者
CASH, JR
SINGHAL, A
机构
[1] Department of Mathematics, Imperial College, London,SW7, United Kingdom
关键词
D O I
10.1093/imanum/2.2.211
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
13
引用
收藏
页码:211 / 227
页数:17
相关论文
共 50 条
  • [31] The efficiency of Singly-implicit Runge-Kutta methods for stiff differential equations
    D. J. L. Chen
    Numerical Algorithms, 2014, 65 : 533 - 554
  • [32] The efficiency of Singly-implicit Runge-Kutta methods for stiff differential equations
    Chen, D. J. L.
    NUMERICAL ALGORITHMS, 2014, 65 (03) : 533 - 554
  • [33] Mono-implicit Runge-Kutta formulae for the numerical solution of second order nonlinear two-point boundary value problems
    Cash, JR
    Garcia, MP
    Moore, DR
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 143 (02) : 275 - 289
  • [34] Study on Banded Implicit Runge-Kutta Methods for Solving Stiff Differential Equations
    Liu, M. Y.
    Zhang, L.
    Zhang, C. F.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
  • [35] A mono-implicit Runge-Kutta-Nystrom modification of the Numerov method
    VanHecke, T
    VanDaele, M
    VandenBerghe, G
    DeMeyer, H
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 78 (01) : 161 - 177
  • [36] Numerical tests with Gauss-type nested implicit Runge-Kutta formulas
    Kulikov, Gennady Yu.
    Shindin, Sergey K.
    COMPUTATIONAL SCIENCE - ICCS 2007, PT 1, PROCEEDINGS, 2007, 4487 : 136 - +
  • [37] A CLASS OF HYBRID FORMULAS FOR THE NUMERICAL-INTEGRATION OF STIFF SYSTEMS
    PATRICIO, F
    BIT, 1983, 23 (03): : 360 - 369
  • [38] DIAGONALLY IMPLICIT RUNGE-KUTTA FORMULAS WITH ERROR ESTIMATES
    CASH, JR
    JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1979, 24 (03): : 293 - 301
  • [39] Bandlimited implicit Runge-Kutta integration for Astrodynamics
    Bradley, Ben K.
    Jones, Brandon A.
    Beylkin, Gregory
    Sandberg, Kristian
    Axelrad, Penina
    CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2014, 119 (02): : 143 - 168
  • [40] Accelerated implicit-explicit Runge-Kutta schemes for locally stiff systems
    Vermeire, Brian C.
    Nasab, Siavash Hedayati
    JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 429