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Volumn 45, Issue 1, 1999, Pages 77-99

Higher-order accurate least-squares methods for first-order initial value problems

Author keywords

Approximations; Generalized pad ; Time step integration methods; Unconditionally stable higher order accurate algorithms; Weighting parameters

Indexed keywords

ALGORITHMS; INTEGRATION; LEAST SQUARES APPROXIMATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 0032678179     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19990510)45:1<77::AID-NME579>3.0.CO;2-5     Document Type: Article
Times cited : (17)

References (18)
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    • Segerlind, L.J.1
  • 10
    • 0016894740 scopus 로고
    • Review of least-squares methods for solving partial differential equations
    • E. D. Eason, 'Review of least-squares methods for solving partial differential equations', Int. J. Numer. Meth. Engng., 10, 1021-1046 (1976).
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    • Eason, E.D.1
  • 11
    • 84985839935 scopus 로고
    • An analysis of various time-stepping schemes for initial value problems
    • O. C. Zienkiewicz and R. W. Lewis, 'An analysis of various time-stepping schemes for initial value problems', Earthquake Engng. Struct. Dyn., 1, 407-408 (1973).
    • (1973) Earthquake Engng. Struct. Dyn. , vol.1 , pp. 407-408
    • Zienkiewicz, O.C.1    Lewis, R.W.2
  • 12
    • 0015970377 scopus 로고
    • An application of least squares to one dimensional transient problems
    • R. W. Lewis and I. C. Bruch Jr., 'An application of least squares to one dimensional transient problems', Int. J. Numer. Meth. Engng., 8, 633-647 (1974).
    • (1974) Int. J. Numer. Meth. Engng. , vol.8 , pp. 633-647
    • Lewis, R.W.1    Bruch I.C., Jr.2
  • 13
    • 0023089439 scopus 로고
    • Least-squares schemes for time integration of thermal problems
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    • Kujawski, J.1    Wiberg, N.E.2
  • 14
    • 0024471368 scopus 로고
    • A generalized least-squares family of algorithms for transient dynamic analysis
    • J. Kujawski and R. H. Gallagher, 'A generalized least-squares family of algorithms for transient dynamic analysis', Earthquake Engng. Struct. Dyn., 18, 539-550 (1989).
    • (1989) Earthquake Engng. Struct. Dyn. , vol.18 , pp. 539-550
    • Kujawski, J.1    Gallagher, R.H.2
  • 15
    • 0027575276 scopus 로고
    • Least squares finite element formulation in time domain for the dual reciprocity boundary element method in heat conduction
    • K. M. Singh and M. S. Kalra, 'Least squares finite element formulation in time domain for the dual reciprocity boundary element method in heat conduction', Comput. Meth. Appl. Mech. Engng., 104, 147-172 (1993).
    • (1993) Comput. Meth. Appl. Mech. Engng. , vol.104 , pp. 147-172
    • Singh, K.M.1    Kalra, M.S.2
  • 16
    • 0030192966 scopus 로고    scopus 로고
    • Three and four step least squares finite element schemes in the time domain
    • K. M. Singh and M. S. Kalra, 'Three and four step least squares finite element schemes in the time domain', Commun. Numer. Meth. Engng., 12, 425-431 (1996).
    • (1996) Commun. Numer. Meth. Engng. , vol.12 , pp. 425-431
    • Singh, K.M.1    Kalra, M.S.2
  • 17
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    • Weighting parameters for unconditionally stable higher-order accurate time step integration algorithms - Part 1. First order equations
    • to appear
    • T. C. Fung, 'Weighting parameters for unconditionally stable higher-order accurate time step integration algorithms - part 1. First order equations', Int. J. Numer. Meth. Engng., (to appear).
    • Int. J. Numer. Meth. Engng.,
    • Fung, T.C.1
  • 18
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    • Comparison of some single-step methods for the numerical solution of the structural dynamics equation
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    • Penry, S.N.1    Wood, W.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.