메뉴 건너뛰기




Volumn 82, Issue 2-3, 1997, Pages 273-302

Piecewise-linearized methods for initial-value problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347001662     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00040-9     Document Type: Article
Times cited : (27)

References (20)
  • 4
    • 0027684529 scopus 로고
    • The relative efficiency of alternative defect control schemes for high-order continuous Runge-Kutta formulas
    • W. H. Enright, The relative efficiency of alternative defect control schemes for high-order continuous Runge-Kutta formulas, SIAM J. Numer. Anal. 30:1419-1445 (1993).
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1419-1445
    • Enright, W.H.1
  • 5
    • 21844494729 scopus 로고
    • Continuous explicit Runge-Kutta methods of order 5
    • J. H. Verner and M. Zennaro, Continuous explicit Runge-Kutta methods of order 5, Mathematics of Computation 64:1123-1146 (1995).
    • (1995) Mathematics of Computation , vol.64 , pp. 1123-1146
    • Verner, J.H.1    Zennaro, M.2
  • 6
    • 0043242780 scopus 로고
    • Derivation of efficient, continuous, explicit Runge-Kutta methods
    • B. Owren and M. Zennaro, Derivation of efficient, continuous, explicit Runge-Kutta methods, SIAM J. Sc. Stat. Comput. 13:1488-1501 (1992).
    • (1992) SIAM J. Sc. Stat. Comput. , vol.13 , pp. 1488-1501
    • Owren, B.1    Zennaro, M.2
  • 7
    • 0027683528 scopus 로고
    • Differentiable interpolants for high-order Runge-Kutta methods
    • J. H. Verner, Differentiable interpolants for high-order Runge-Kutta methods, SIAM J. Numer. Anal. 30:1446-1466 (1993).
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1446-1466
    • Verner, J.H.1
  • 9
    • 0001943898 scopus 로고
    • Stiffness of ODEs
    • D. J. Higham and L. N. Trefethen, Stiffness of ODEs, BIT 33:285-303 (1993).
    • (1993) BIT , vol.33 , pp. 285-303
    • Higham, D.J.1    Trefethen, L.N.2
  • 10
    • 0025548782 scopus 로고
    • A review of the decomposition method and some recent results for nonlinear equations
    • G. Adomian, A review of the decomposition method and some recent results for nonlinear equations, Mathl. Comput. Modelling 13:17-43 (1990).
    • (1990) Mathl. Comput. Modelling , vol.13 , pp. 17-43
    • Adomian, G.1
  • 11
    • 0002840078 scopus 로고
    • Numerical study of Fisher's equation by Adomian's method
    • T. Mavoungou and Y. Cherruault, Numerical study of Fisher's equation by Adomian's method, Mathl. Comput. Modelling 19:89-95 (1994).
    • (1994) Mathl. Comput. Modelling , vol.19 , pp. 89-95
    • Mavoungou, T.1    Cherruault, Y.2
  • 15
    • 0013449822 scopus 로고
    • A simple time step size selection algorithm for ODE codes
    • L. F. Shampine and A. Witt, A simple time step size selection algorithm for ODE codes, J. Comput. Appl. Math. 58:345-354 (1995).
    • (1995) J. Comput. Appl. Math. , vol.58 , pp. 345-354
    • Shampine, L.F.1    Witt, A.2
  • 16
  • 17
    • 0027610365 scopus 로고
    • High-order integration of smooth dynamical systems: Theory and numerical experiments
    • M. Austin, High-order integration of smooth dynamical systems: Theory and numerical experiments, Int. J. Numer. Methods Eng. 36:2107-2122 (1993).
    • (1993) Int. J. Numer. Methods Eng. , vol.36 , pp. 2107-2122
    • Austin, M.1
  • 18
    • 0027542988 scopus 로고
    • On the accuracy of time-stepping schemes for dynamic problems with negative stiffness
    • Y. M. Xie and W. L. Wood, On the accuracy of time-stepping schemes for dynamic problems with negative stiffness, Commun. Numer. Methods Eng. 9:131-137 (1993).
    • (1993) Commun. Numer. Methods Eng. , vol.9 , pp. 131-137
    • Xie, Y.M.1    Wood, W.L.2
  • 19
    • 0027642991 scopus 로고
    • High-order hierarchical A- And L-stable integration methods
    • P. W. Möller, High-order hierarchical A- and L-stable integration methods, Int. J. Numer. Methods Eng. 36:2607-2624 (1993).
    • (1993) Int. J. Numer. Methods Eng. , vol.36 , pp. 2607-2624
    • Möller, P.W.1
  • 20
    • 0542375473 scopus 로고
    • Parametric excitation of computational mode of the leapfrog scheme applied to the van der Pol equation
    • D. S. Cai, A. Aoyagi, and K. Abe, Parametric excitation of computational mode of the leapfrog scheme applied to the van der Pol equation, J. Comput. Physics 107:146-151 (1993).
    • (1993) J. Comput. Physics , vol.107 , pp. 146-151
    • Cai, D.S.1    Aoyagi, A.2    Abe, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.