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Volumn 2, Issue 4, 2005, Pages 459-478

Taylor expansion algorithm for the branching solution of the navier-stokes equations

Author keywords

Nonlinear operator equation; Optimum nonlinear galerkin method; Taylor expansion algorithm; The navier stokes equations

Indexed keywords


EID: 33644537282     PISSN: 17055105     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (13)
  • 2
    • 0003278399 scopus 로고
    • Infinite Dimensional Dynamical Systems in Mechanics and Physics
    • Springer-Verlag, Berlin
    • R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, Applied Mathematical Sciences, 68, Springer-Verlag, Berlin, 1988.
    • (1988) Applied Mathematical Sciences , vol.68
    • Temam, R.1
  • 3
    • 0000640733 scopus 로고
    • Inertial manifolds for the nonlinear evolution equations
    • C. Foias, G. R. Sell and R.Temam, Inertial manifolds for the nonlinear evolution equations, J. Differential Equations, 73 (1988) 309-353.
    • (1988) J. Differential Equations , vol.73 , pp. 309-353
    • Foias, C.1    Sell, G.R.2    Temam, R.3
  • 4
    • 0000547750 scopus 로고
    • Nonlinear Galerkin methods
    • M. Marion and R. Temam, Nonlinear Galerkin methods, SIAM J.Nummer.Anal., 26 (1989) 1139-1157.
    • (1989) SIAM J.Nummer.Anal. , vol.26 , pp. 1139-1157
    • Marion, M.1    Temam, R.2
  • 5
    • 84968484137 scopus 로고
    • On the rate of convergence of nonlinear Galerkin method
    • C. Devulder, M. Marion and E. S. Titi, On the rate of convergence of nonlinear Galerkin method, Math. Comp., 60 (1993) 495-514.
    • (1993) Math. Comp. , vol.60 , pp. 495-514
    • Devulder, C.1    Marion, M.2    Titi, E.S.3
  • 6
    • 0001092754 scopus 로고
    • Long time stability and convergence for fully discrete nonlinear Galerkin methods
    • Jie Shen, Long time stability and convergence for fully discrete nonlinear Galerkin methods, Appl.Anal., 38 (1990) 201-514.
    • (1990) Appl.Anal. , vol.38 , pp. 201-514
    • Shen, J.1
  • 7
    • 0027833885 scopus 로고
    • On the question of turbulence modelling by the approximate inertial manifolds and the nonlinear Galerkin method
    • J. G. Heywood and R. Rannacher, On the question of turbulence modelling by the approximate inertial manifolds and the nonlinear Galerkin method, SIAM J. Numer. Anal., 30 (1994) 1630-1621.
    • (1994) SIAM J. Numer. Anal. , vol.30 , pp. 1621-1630
    • Heywood, J.G.1    Rannacher, R.2
  • 8
    • 0000752968 scopus 로고
    • Error estimates a new nonlinear Galerkin method based on two-grid finite elements
    • M.Marion and J. Xu, Error estimates a new nonlinear Galerkin method based on two-grid finite elements, SIAM J. Numer. Anal., 72 (1995)1170-1184.
    • (1995) SIAM J. Numer. Anal. , vol.72 , pp. 1170-1184
    • Marion, M.1    Xu, J.2
  • 9
    • 0005503413 scopus 로고    scopus 로고
    • Nonlinear Galerkin method and two-step method for the Navier-Stokes equation
    • Yinnian He and Kaitai Li, Nonlinear Galerkin method and two-step method for the Navier-Stokes equation, Numerical Methods for Partial Differential Equations, 12 (1996) 283-305.
    • (1996) Numerical Methods for Partial Differential Equations , vol.12 , pp. 283-305
    • He, Y.1    Li, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.