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Volumn 59, Issue 1, 1997, Pages 43-61

Partitioned half-explicit Runge-Kutta methods for differential-algebraic systems of index 2

Author keywords

Constrained mechanical systems; Differential algebraic systems of index 2; Half explicit Runge Kutta methods

Indexed keywords

ERROR ANALYSIS; NUMERICAL METHODS; OPTIMIZATION; PROBLEM SOLVING;

EID: 0030689882     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02684403     Document Type: Article
Times cited : (17)

References (16)
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    • Submitted
    • Arnold, M.: Half-explicit Runge-Kutta Methods with explicit stages for differential-algebraic systems of index 2. Submitted to BIT (1995).
    • (1995) BIT
    • Arnold, M.1
  • 2
    • 0026204126 scopus 로고
    • Projected implicit Runge-Kutta methods for differential-algebraic equations
    • Ascher, U., Petzold, L. R.: Projected implicit Runge-Kutta methods for differential-algebraic equations, SIAM J. Numer. Anal. 4, 1097-1120 (1991).
    • (1991) SIAM J. Numer. Anal. , vol.4 , pp. 1097-1120
    • Ascher, U.1    Petzold, L.R.2
  • 4
    • 0027575465 scopus 로고
    • Half-explicit Runge-Kutta methods for differential-algebraic systems of index 2
    • Brasey, V., Hairer, E.: Half-explicit Runge-Kutta methods for differential-algebraic systems of index 2. SIAM J. Numer. Anal. 30, 538-552 (1993).
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 538-552
    • Brasey, V.1    Hairer, E.2
  • 5
    • 0040331987 scopus 로고
    • A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems
    • Brasey, V.: A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems. Computing 48, 191-201 (1992).
    • (1992) Computing , vol.48 , pp. 191-201
    • Brasey, V.1
  • 7
    • 0018991720 scopus 로고
    • A family of embedded Runge-Kutta formulae
    • Dormand, J. R., Prince, P. J.: A family of embedded Runge-Kutta formulae. J. Comp. Appl. Math. 6, 19-26 (1980).
    • (1980) J. Comp. Appl. Math. , vol.6 , pp. 19-26
    • Dormand, J.R.1    Prince, P.J.2
  • 8
    • 0003321806 scopus 로고
    • The numerical solution of differential algebraic systems by Runge-Kutta Methods
    • Berlin Heidelberg New York Tokyo: Springer
    • Hairer, E., Lubich, Ch., Roche, M.: The numerical solution of differential algebraic systems by Runge-Kutta Methods. Lecture Notes in Mathematics 1409. Berlin Heidelberg New York Tokyo: Springer, 1989.
    • (1989) Lecture Notes in Mathematics , vol.1409
    • Hairer, E.1    Lubich, Ch.2    Roche, M.3
  • 11
    • 0000279884 scopus 로고
    • Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
    • Jay, L.: Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2. BIT 33, 137-150 (1993).
    • (1993) BIT , vol.33 , pp. 137-150
    • Jay, L.1
  • 14
    • 0042082743 scopus 로고
    • On the numerical solution of Euler-Lagrange equations
    • Potra, F. A., Rheinboldt, W. C.: On the numerical solution of Euler-Lagrange equations. J. Mech. Struct. Mach. 19, 1-18 (1991).
    • (1991) J. Mech. Struct. Mach. , vol.19 , pp. 1-18
    • Potra, F.A.1    Rheinboldt, W.C.2
  • 15
    • 0028423479 scopus 로고
    • A nonlinear truck model and its treatment as a multi-body system
    • Simeon, B., Grupp, F., Führer, C., Rentrop, P.: A nonlinear truck model and its treatment as a multi-body system. J. Comput. Appl. Math. 50, 523-532 (1994).
    • (1994) J. Comput. Appl. Math. , vol.50 , pp. 523-532
    • Simeon, B.1    Grupp, F.2    Führer, C.3    Rentrop, P.4
  • 16
    • 0029721052 scopus 로고
    • On the numerical solution of a wheel suspension benchmark problem
    • Simeon, B.: On the numerical solution of a wheel suspension benchmark problem, Comp. Appl. Math. 66, 443-456 (1995).
    • (1995) Comp. Appl. Math. , vol.66 , pp. 443-456
    • Simeon, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.