메뉴 건너뛰기




Volumn 35, Issue 5, 1998, Pages 43-61

Regularization of index-1 differential-algebraic equations with rank-deficient constraints

Author keywords

Differential algebraic equations; Rank deficient; Regularization; Singularity

Indexed keywords

ALGEBRA; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; LINEAR EQUATIONS;

EID: 0032021198     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00004-2     Document Type: Article
Times cited : (8)

References (27)
  • 2
    • 0031129203 scopus 로고    scopus 로고
    • Regularization of higher-index differential-algebraic equations with rank-deficient donstraints
    • to appear
    • L.R. Petzold, Y. Ren and T. Maly, Regularization of higher-index differential-algebraic equations with rank-deficient donstraints, SIAM J. Scientific Computing (to appear).
    • SIAM J. Scientific Computing
    • Petzold, L.R.1    Ren, Y.2    Maly, T.3
  • 3
    • 0021427835 scopus 로고
    • Regularizations of linear time-varying singular systems
    • S.L. Campbell, Regularizations of linear time-varying singular systems, Automatica 20, 365-370, (1984).
    • (1984) Automatica , vol.20 , pp. 365-370
    • Campbell, S.L.1
  • 6
    • 0041166610 scopus 로고
    • Regularization of nonlinear differential-algebraic equations
    • R.E. O'Malley, Jr. and L. Kalachev, Regularization of nonlinear differential-algebraic equations, SIAM J. Math. Anal. 25, 615-629, (1994).
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 615-629
    • O'Malley R.E., Jr.1    Kalachev, L.2
  • 8
    • 0030536939 scopus 로고    scopus 로고
    • The regularization of linear differential-algebraic equations
    • L. Kalachev and R.E. O'Malley, Jr., The regularization of linear differential-algebraic equations, SIAM J. Math. Anal. 27, 258-273, (1996).
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 258-273
    • Kalachev, L.1    O'Malley R.E., Jr.2
  • 9
    • 0028401021 scopus 로고
    • Singularity-free augmented lagrangian algorithms for constrained multibody dynamics
    • E. Bayo and A. Avello, Singularity-free augmented Lagrangian algorithms for constrained multibody dynamics, Nonlinear Dynamics 5, 209-231, (1994).
    • (1994) Nonlinear Dynamics , vol.5 , pp. 209-231
    • Bayo, E.1    Avello, A.2
  • 12
    • 0024036508 scopus 로고
    • Stabilization of computational procedures for constrained dynamical systems
    • K.C. Park and J.C. Chiou, Stabilization of computational procedures for constrained dynamical systems, J. Guidance, Control and Dynamics II, 365-370, (1988).
    • (1988) J. Guidance, Control and Dynamics , vol.2 , pp. 365-370
    • Park, K.C.1    Chiou, J.C.2
  • 13
    • 0039387416 scopus 로고    scopus 로고
    • Sequential regularization methods for higher index DAEs with constraint singularities: I. Linear index-2 case
    • U. Ascher and P. Lin, Sequential regularization methods for higher index DAEs with constraint singularities: I. Linear index-2 case, SIAM J. Numer. Anal. 33, 1921-1940, (1996).
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1921-1940
    • Ascher, U.1    Lin, P.2
  • 14
    • 0012630592 scopus 로고
    • Regularization and stability of the constraints in the dynamics of multibody systems
    • F.M.L. Amirouche and Chin-Wei Tung, Regularization and stability of the constraints in the dynamics of multibody systems, Nonlinear Dynamics 1, 459-475, (1990).
    • (1990) Nonlinear Dynamics , vol.1 , pp. 459-475
    • Amirouche, F.M.L.1    Tung, C.-W.2
  • 15
    • 0024928048 scopus 로고
    • Numerical stability of the constraints near singular positions in the dynamics of multibody systems
    • S.K. Ider and F.M.L. Amirouche, Numerical stability of the constraints near singular positions in the dynamics of multibody systems, Computers and Structures 33, 129-137, (1989).
    • (1989) Computers and Structures , vol.33 , pp. 129-137
    • Ider, S.K.1    Amirouche, F.M.L.2
  • 16
    • 0000474711 scopus 로고
    • On impasse points of quasilinear differential algebraic equations
    • P. J. Rabier and W.C. Rheinboldt, On impasse points of quasilinear differential algebraic equations, J. Math. Anal. Appl. 181, 429-454, (1994).
    • (1994) J. Math. Anal. Appl. , vol.181 , pp. 429-454
    • Rabier, P.J.1    Rheinboldt, W.C.2
  • 18
    • 21344479898 scopus 로고
    • A bottom-up inductive proof of the singular value decomposition
    • C.-T. Pan and K. Sigmon, A bottom-up inductive proof of the singular value decomposition, SIAM J. Matrix Anal. Appl. 15, 59-61, (1994).
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , pp. 59-61
    • Pan, C.-T.1    Sigmon, K.2
  • 22
    • 0026204126 scopus 로고
    • Projected implicit Runge-Kutta methods for differential-algebraic equations
    • U. Ascher and L. Petzold, Projected implicit Runge-Kutta methods for differential-algebraic equations, SIAM J. Numer. Anal. 28, 1097-1120, (1991).
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1097-1120
    • Ascher, U.1    Petzold, L.2
  • 23
    • 0002987221 scopus 로고
    • Stability of computational methods for constrained dynamics systems
    • U. Ascher and L. Petzold, Stability of computational methods for constrained dynamics systems, SIAM J. Sci. Comput. 14, 95-120, (1993).
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 95-120
    • Ascher, U.1    Petzold, L.2
  • 24
    • 0001559216 scopus 로고
    • Projected collocation for higher-order higher-index differential-algebraic equations
    • U. Ascher and L. Petzold, Projected collocation for higher-order higher-index differential-algebraic equations, J. Comp. and Appl. Math. 43, 293-259, (1992).
    • (1992) J. Comp. and Appl. Math. , vol.43 , pp. 293-259
    • Ascher, U.1    Petzold, L.2
  • 25
    • 21344492077 scopus 로고
    • Stabilization of DAE and invariant manifolds
    • U. Ascher, H. Qin and S. Reich, Stabilization of DAE and invariant manifolds, Numer. Math. 69, 131-149, (1994).
    • (1994) Numer. Math. , vol.69 , pp. 131-149
    • Ascher, U.1    Qin, H.2    Reich, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.