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Volumn 27, Issue 2, 1998, Pages 171-183

An eight stage fourth order partitioned Rosenbrock method for multibody systems in index-3 formulation

Author keywords

Differential algebraic equations; Mechanical multibody systems; Partitioned rosenbrock methods

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS;

EID: 0032093558     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00007-5     Document Type: Article
Times cited : (5)

References (12)
  • 1
    • 21144471116 scopus 로고
    • Half-explicit Runge-Kutta methods for semi-explicit differential-algebraic equations of index-1
    • M. Arnold, K. Strehmel and R. Weiner, Half-explicit Runge-Kutta methods for semi-explicit differential-algebraic equations of index-1, Numer. Math. 64 (1993) 409-431.
    • (1993) Numer. Math. , vol.64 , pp. 409-431
    • Arnold, M.1    Strehmel, K.2    Weiner, R.3
  • 2
    • 0040331987 scopus 로고
    • A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems
    • V. Brasey, A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems, Computing 48 (2) (1992) 191-201.
    • (1992) Computing , vol.48 , Issue.2 , pp. 191-201
    • Brasey, V.1
  • 3
    • 0003321806 scopus 로고
    • The numerical solution of differential-algebraic systems by Runge-Kutta methods
    • Springer, Berlin
    • E. Hairer, Ch. Lubich and M. Roche, The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Lecture Notes in Mathematics 1409 (Springer, Berlin, 1989).
    • (1989) Lecture Notes in Mathematics , vol.1409
    • Hairer, E.1    Roche, M.2
  • 5
    • 0039740124 scopus 로고
    • Convergence of Runge-Kutta methods for differential-algebraic systems of index-3
    • L. Jay, Convergence of Runge-Kutta methods for differential-algebraic systems of index-3, Appl. Numer. Math. 17 (1995) 97-118.
    • (1995) Appl. Numer. Math. , vol.17 , pp. 97-118
    • Jay, L.1
  • 7
    • 0009695901 scopus 로고
    • Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative
    • C. Lubich and M. Roche, Rosenbrock methods for differential-algebraic systems with solution-dependent singular matrix multiplying the derivative, Computing 43 (1990) 325-342.
    • (1990) Computing , vol.43 , pp. 325-342
    • Lubich, C.1    Roche, M.2
  • 8
    • 38249001946 scopus 로고
    • A class of half-explicit Runge-Kutta methods for differential-algebraic systems of index-3
    • A. Ostermann, A class of half-explicit Runge-Kutta methods for differential-algebraic systems of index-3, Appl. Numer. Math. 13 (1993) 165-179.
    • (1993) Appl. Numer. Math. , vol.13 , pp. 165-179
    • Ostermann, A.1
  • 10
    • 0001386882 scopus 로고
    • On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential-algebraic systems
    • K. Strehmel, R. Weiner and I. Dannehl, On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential-algebraic systems, BIT 30 (1990) 358-375.
    • (1990) BIT , vol.30 , pp. 358-375
    • Strehmel, K.1    Weiner, R.2    Dannehl, I.3
  • 12
    • 0030287580 scopus 로고    scopus 로고
    • A class of linearly-implicit Runge-Kutta methods for multibody systems
    • J. Wensch, K. Strehmel and R. Weiner, A class of linearly-implicit Runge-Kutta methods for multibody systems, Appl. Numer. Math. 22 (1996) 381-398.
    • (1996) Appl. Numer. Math. , vol.22 , pp. 381-398
    • Wensch, J.1    Strehmel, K.2    Weiner, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.