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Volumn 31, Issue 1-4, 2002, Pages 171-191

Iterative solution of SPARK methods applied to DAEs

Author keywords

Differential algebraic equations; Holonomic constraints; Inexact modified Newton method; Lobatto coefficients; Mechanical systems; Nonholonomic constraints; Overdetermined DAEs; Perturbation indexPreconditioning; Runge Kutta methods; Stiffness

Indexed keywords


EID: 0036441633     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021116800010     Document Type: Conference Paper
Times cited : (12)

References (17)
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  • 3
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    • Johns Hopkins Studies in the Mathematical Science, 3rd Ed. (Johns Hopkins Univ. Press, Baltimore/London)
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    • (1996) Matrix Computations
    • Golub, G.1    Van Loan, C.F.2
  • 9
    • 0032228613 scopus 로고    scopus 로고
    • Structure preservation for constrained dynamics with super partitioned additive Runge-Kutta methods
    • L.O. Jay, Structure preservation for constrained dynamics with super partitioned additive Runge-Kutta methods, SIAM J. Sci. Comput. 20 (1998) 416-446.
    • (1998) SIAM J. Sci. Comput. , vol.20 , pp. 416-446
    • Jay, L.O.1
  • 10
    • 0033355808 scopus 로고    scopus 로고
    • A parallelizable preconditioner for the iterative solution of implicit Runge-Kutta type methods
    • L.O. Jay, A parallelizable preconditioner for the iterative solution of implicit Runge-Kutta type methods, J. Comput. Appl. Math. 111 (1999) 63-76.
    • (1999) J. Comput. Appl. Math. , vol.111 , pp. 63-76
    • Jay, L.O.1
  • 11
    • 0034431557 scopus 로고    scopus 로고
    • Inexact simplified Newton iterations for implicit Runge-Kutta methods
    • L.O. Jay, Inexact simplified Newton iterations for implicit Runge-Kutta methods, SIAM J. Numer. Anal. 38 (2000) 1369-1388.
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 1369-1388
    • Jay, L.O.1
  • 12
    • 0141468093 scopus 로고    scopus 로고
    • Preconditioning and parallel implementation of implicit Runge-Kutta methods
    • Dept. of Math., University of Iowa, USA in preparation
    • L.O. Jay, Preconditioning and parallel implementation of implicit Runge-Kutta methods, Technical Report, Dept. of Math., University of Iowa, USA (2001) in preparation.
    • (2001) Technical Report
    • Jay, L.O.1
  • 15
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad and M.H. Schultz, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput. 7 (1986) 856-869.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.