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Volumn 19, Issue 1-2, 2008, Pages 3-20

On the optimal scaling of index three DAEs in multibody dynamics

Author keywords

Constraints; Differential algebraic equations; High index; Lagrange multipliers; Multibody dynamics

Indexed keywords

ALGEBRA; CONSTRAINT THEORY; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 38849136022     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11044-007-9051-9     Document Type: Article
Times cited : (59)

References (8)
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    • 33748042004 scopus 로고    scopus 로고
    • The Embedded Projection Method: A general index reduction procedure for constrained system dynamics
    • Borri, M., Trainelli, L., Croce, A.: The Embedded Projection Method: A general index reduction procedure for constrained system dynamics. Comput. Methods Appl. Mech. Eng. 195, 6974-6992 (2006)
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 6974-6992
    • Borri, M.1    Trainelli, L.2    Croce, A.3
  • 2
    • 38849137982 scopus 로고    scopus 로고
    • Time-step-size-independent conditioning and sensitivity to perturbations in the numerical solution of index three differential algebraic equations
    • Bottasso, C.L., Bauchau, O.A.: Time-step-size-independent conditioning and sensitivity to perturbations in the numerical solution of index three differential algebraic equations. SIAM J. Sci. Comput. 29, 397-414 (2007)
    • (2007) SIAM J. Sci. Comput. , vol.29 , pp. 397-414
    • Bottasso, C.L.1    Bauchau, O.A.2
  • 4
    • 0002318219 scopus 로고
    • Automatic integration of Euler-Lagrange equations with constraints
    • Gear, C., Leimkuhler, B., Gupta, G.: Automatic integration of Euler-Lagrange equations with constraints. J. Comput. Appl. Mech. 12-13, 77-90 (1985)
    • (1985) J. Comput. Appl. Mech. , vol.12-13 , pp. 77-90
    • Gear, C.1    Leimkuhler, B.2    Gupta, G.3
  • 6
    • 0002689020 scopus 로고
    • A method of computation for structural dynamics
    • Newmark, N.M.: A method of computation for structural dynamics. J. Eng. Mech. Div., Proc. ASCE 85, 67-94 (1959)
    • (1959) J. Eng. Mech. Div., Proc. ASCE , vol.85 , pp. 67-94
    • Newmark, N.M.1
  • 7
    • 0002510376 scopus 로고
    • Numerical solution of nonlinear differential equations with algebraic constraints
    • Petzold, L., Lötstedt, P.: Numerical solution of nonlinear differential equations with algebraic constraints. SIAM J. Sci. Comput. 7, 721-733 (1986)
    • (1986) SIAM J. Sci. Comput. , vol.7 , pp. 721-733
    • Petzold, L.1    Lötstedt, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.