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Volumn 86, Issue 3, 2000, Pages 419-442

A postprocessed Galerkin method with Chebyshev or Legendre polynomials

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EID: 0039011694     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110000188     Document Type: Article
Times cited : (21)

References (26)
  • 1
    • 0000494353 scopus 로고
    • Properties of some weighted Sobolev spaces and application to spectral approximations
    • C. Bernardi, Y. Maday: Properties of some weighted Sobolev spaces and application to spectral approximations. SIAM J. Numer. Anal. 26 (1989), 769-829
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 769-829
    • Bernardi, C.1    Maday, Y.2
  • 4
    • 0000135193 scopus 로고
    • On the construction of families of approximate inertial manifolds
    • A. Debussche, M. Marion: On the construction of families of approximate inertial manifolds. J. Diff. Eq. 100 (1992), 173-201
    • (1992) J. Diff. Eq. , vol.100 , pp. 173-201
    • Debussche, A.1    Marion, M.2
  • 5
    • 0008719072 scopus 로고    scopus 로고
    • A nonlinear Galerkin method: The two-level chebyshev collocation case
    • Proceedings of ICOSAHOM'95, A.V. Ilin & L.R. Scott (eds.), Houston, Texas
    • L. Dettori, D. Gottlieb, R. Temam: A nonlinear Galerkin method: the two-level Chebyshev collocation case. Proceedings of ICOSAHOM'95, A.V. Ilin & L.R. Scott (eds.), Houston Journal of Mathematics, Houston, Texas (1996), pp. 75-82
    • (1996) Houston Journal of Mathematics , pp. 75-82
    • Dettori, L.1    Gottlieb, D.2    Temam, R.3
  • 6
    • 84968484137 scopus 로고
    • On the rate of convergence of nonlinear Galerkin methods
    • C. Devulder, M. Marion, E.S. Titi: On the rate of convergence of Nonlinear Galerkin methods. Math. Comp. 60 (1993), 495-514
    • (1993) Math. Comp. , vol.60 , pp. 495-514
    • Devulder, C.1    Marion, M.2    Titi, E.S.3
  • 7
    • 0000640737 scopus 로고
    • Modelling of the interaction of small and large eddies in two dimensional turbulent flows
    • C. Foias, O. Manley, R. Temam: Modelling of the interaction of small and large eddies in two dimensional turbulent flows. Math. Mod. Num. Anal. 22 (1988), 93-114
    • (1988) Math. Mod. Num. Anal. , vol.22 , pp. 93-114
    • Foias, C.1    Manley, O.2    Temam, R.3
  • 9
    • 70350334167 scopus 로고
    • Evolution problems
    • P.O. Ciarlet, J.L. Lions (eds.) North-Holland, Amsterdam
    • H. Fujita, T. Suzuki: Evolution Problems, in Handbook of Numerical Analysis, Volume II, P.O. Ciarlet, J.L. Lions (eds.) North-Holland, Amsterdam (1991), pp. 790-928
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 790-928
    • Fujita, H.1    Suzuki, T.2
  • 10
    • 0001946354 scopus 로고
    • Some practical experience with the time integration of dissipative equations
    • B. García-Archilla: Some practical experience with the time integration of dissipative equations. J. Comp. Phys. 122 (1995), 25-29
    • (1995) J. Comp. Phys. , vol.122 , pp. 25-29
    • García-Archilla, B.1
  • 11
    • 0002107463 scopus 로고
    • Time integration of the nonlinear Galerkin method
    • B. García-Archilla, J. de Frutos: Time integration of the nonlinear Galerkin method. IMA J. Num. Anal. 14 (1994), 1-24
    • (1994) IMA J. Num. Anal. , vol.14 , pp. 1-24
    • García-Archilla, B.1    De Frutos, J.2
  • 12
    • 0001324638 scopus 로고    scopus 로고
    • Postprocessing the Galerkin method: A novel approach to approximate inertial manifolds
    • B. García-Archilla, J. Novo, E.S. Titi: Postprocessing the Galerkin method: a novel approach to approximate inertial manifolds. SIAM J. Numer. Anal. 35 (1998), 941-972
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 941-972
    • García-Archilla, B.1    Novo, J.2    Titi, E.S.3
  • 13
    • 0038855060 scopus 로고    scopus 로고
    • An approximate inertial manifold approach to postprocessing Galerkin methods for the Navier-Stokes equations
    • B. Garcia-Archilla, J. Novo, E.S. Titi: An approximate inertial manifold approach to postprocessing Galerkin methods for the Navier-Stokes equations. Math. Comp. 68 (1999), 893-911
    • (1999) Math. Comp. , vol.68 , pp. 893-911
    • Garcia-Archilla, B.1    Novo, J.2    Titi, E.S.3
  • 16
    • 0027833885 scopus 로고
    • On the question of turbulence modeling by approximate inertial manifolds and the nonlinear Galerkin scheme
    • J.G. Heywood, R. Rannacher: On the question of turbulence modeling by approximate inertial manifolds and the nonlinear Galerkin scheme. SIAM J. Numer. Anal. 30 ( 1993), 1603-1621
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1603-1621
    • Heywood, J.G.1    Rannacher, R.2
  • 19
    • 0000163574 scopus 로고
    • Stability and convergence in numerical analysis, II. The definition of stability in nonlinear problems
    • K. Strehmel (ed.), Teubner, Leipzig
    • J.C. López-Marcos, J.M. Sanz-Serna: Stability and convergence in Numerical Analysis, II. The definition of stability in nonlinear problems. In: K. Strehmel (ed.), Numerical Treatement of Differential Equations, Teubner, Leipzig (1988), pp. 216-226
    • (1988) Numerical Treatement of Differential Equations , pp. 216-226
    • López-Marcos, J.C.1    Sanz-Serna, J.M.2
  • 20
    • 0001669676 scopus 로고
    • Legendre and chebyshev spectral approximations of burgers' equation
    • Y. Maday, A. Quarteroni: Legendre and Chebyshev Spectral approximations of Burgers' Equation. Numer. Math. 37 (1981), 321-332
    • (1981) Numer. Math. , vol.37 , pp. 321-332
    • Maday, Y.1    Quarteroni, A.2
  • 21
    • 0002543392 scopus 로고
    • Efficient spectral-galerkin method II. Direct solvers of second and four order equations using Chebyshev polynomials
    • J. Shen: Efficient spectral-Galerkin method II. Direct solvers of second and four order equations using Chebyshev polynomials. SIAM J. Sci. Comput. 16 (1995), 74-87
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 74-87
    • Shen, J.1
  • 22
    • 0001012617 scopus 로고
    • Nonlinear galerkin method using chebyshev and legendre polynomials I. The one-dimensional case
    • J. Shen, R. Temam: Nonlinear Galerkin method using Chebyshev and Legendre polynomials I. The one-dimensional case. SIAM J. Numer. Anal. 32 (1995), 215-234
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 215-234
    • Shen, J.1    Temam, R.2
  • 23
    • 0000547750 scopus 로고
    • Nonlinear galerkin methods
    • M. Marion, R. Temam: Nonlinear Galerkin Methods. SIAM J. Numer. Anal. 26(1989), 1139-1157
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1139-1157
    • Marion, M.1    Temam, R.2
  • 25
    • 84908785301 scopus 로고
    • Dynamical systems, turbulence and the numerical solution of the navier stokes equations
    • D. Dwoyer, R. Voigt (eds.) Lecture Notes in Physics. Springer, Berlin
    • R. Temam: Dynamical systems, turbulence and the numerical solution of the Navier Stokes equations, in Proceedings of the 11th International Conference on Numerical Methods in Fluid Dynamics (Williamsburg), D. Dwoyer, R. Voigt (eds.) Lecture Notes in Physics. Springer, Berlin 1990
    • (1990) Proceedings of the 11th International Conference on Numerical Methods in Fluid Dynamics (Williamsburg)
    • Temam, R.1
  • 26
    • 0040067762 scopus 로고
    • Numerical solutions of a nonlinear dissipative system using a pseudospectral method and inertial manifolds
    • R. Wallace, D. Sloan: Numerical solutions of a nonlinear dissipative system using a pseudospectral method and inertial manifolds. SIAM J. Sci. Comput., 16 (1995), 1049-1070
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 1049-1070
    • Wallace, R.1    Sloan, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.