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Volumn 21, Issue 1, 1996, Pages 43-56

Supraconvergence of a class of moving grid methods for solving a nonlinear problem

Author keywords

Moving grid methods; Semidiscrete problem; Supraconvergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 0030149909     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-9274(95)00135-2     Document Type: Article
Times cited : (1)

References (22)
  • 1
    • 38249043795 scopus 로고
    • An adaptive method of lines with error control for parabolic equations of the reaction-diffusion type
    • M. Bieterman and I. Babuška, An adaptive method of lines with error control for parabolic equations of the reaction-diffusion type, J. Comput. Phys. 63 (1986) 33-66.
    • (1986) J. Comput. Phys. , vol.63 , pp. 33-66
    • Bieterman, M.1    Babuška, I.2
  • 2
    • 0000984027 scopus 로고
    • On simple moving grid methods for one dimensional partial differential equations
    • J.G. Blom, J.M. Sanz-Serna and J.G. Verwer, On simple moving grid methods for one dimensional partial differential equations, J. Comput. Phys. 74 (1988) 191-213.
    • (1988) J. Comput. Phys. , vol.74 , pp. 191-213
    • Blom, J.G.1    Sanz-Serna, J.M.2    Verwer, J.G.3
  • 3
    • 0043123342 scopus 로고
    • A lagrangian moving grid scheme for one-dimensional evolutionary partial differential equations
    • W. Ames, ed., Vol. 1.1 IMACS, New Brunswick, NJ
    • J.G. Blom, J.M. Sanz-Serna and J.G. Verwer, A Lagrangian moving grid scheme for one-dimensional evolutionary partial differential equations, in: W. Ames, ed., IMACS Annals on Computing and Applied Mathematics, Vol. 1.1 (IMACS, New Brunswick, NJ, 1989) 247-255.
    • (1989) IMACS Annals on Computing and Applied Mathematics , pp. 247-255
    • Blom, J.G.1    Sanz-Serna, J.M.2    Verwer, J.G.3
  • 5
    • 38249002789 scopus 로고
    • The second order initial/boundary value problem: Supraconvergence of rcgridding methods
    • J.A. Ferreira, The second order initial/boundary value problem: supraconvergence of rcgridding methods, Appl. Numer. Math. 13 (1993) 69-81.
    • (1993) Appl. Numer. Math. , vol.13 , pp. 69-81
    • Ferreira, J.A.1
  • 7
    • 0041620523 scopus 로고
    • Convergence properties and regridding methods
    • J.A. Ferreira and P. de Oliveira, Convergence properties and regridding methods, J. Comput. Appl. Math. 45 (1993) 321-330.
    • (1993) J. Comput. Appl. Math. , vol.45 , pp. 321-330
    • Ferreira, J.A.1    De Oliveira, P.2
  • 8
    • 0000035056 scopus 로고
    • Quadratic convergence for cell-centered grid
    • P.A. Forsyth and P.H. Sammon, Quadratic convergence for cell-centered grid, Appl. Numer. Math. 4 (1988) 377-394.
    • (1988) Appl. Numer. Math. , vol.4 , pp. 377-394
    • Forsyth, P.A.1    Sammon, P.H.2
  • 9
    • 0001367417 scopus 로고
    • A numerical study of three moving grid methods for one dimensional partial differential equations which are based on the method of lines
    • R.M. Furzeland, J.G. Verwer and P.A. Zegeling, A numerical study of three moving grid methods for one dimensional partial differential equations which are based on the method of lines, J. Comput. Phys. 89 (1990) 349-388.
    • (1990) J. Comput. Phys. , vol.89 , pp. 349-388
    • Furzeland, R.M.1    Verwer, J.G.2    Zegeling, P.A.3
  • 11
    • 84985346428 scopus 로고
    • Some stability inequalities for compact difference operators
    • R.D. Grigorieff, Some stability inequalities for compact difference operators, Math. Nachr. 135 (1988) 93-101.
    • (1988) Math. Nachr. , vol.135 , pp. 93-101
    • Grigorieff, R.D.1
  • 12
    • 84966247178 scopus 로고
    • Approximation methods for solving nonlinear problems with application to two-point boundary value problems
    • H.B. Keller, Approximation methods for solving nonlinear problems with application to two-point boundary value problems, Math. Comp. 29 (1975) 464-474.
    • (1975) Math. Comp. , vol.29 , pp. 464-474
    • Keller, H.B.1
  • 16
    • 0002262211 scopus 로고    scopus 로고
    • Stability and convergence in numerical analysis III: Linear investigation of nonlinear stability
    • J.C. López-Marcos and J.M. Sanz-Serna, Stability and convergence in Numerical Analysis III: linear investigation of nonlinear stability, IMA J. Numer. Anal. 8, 71-84.
    • IMA J. Numer. Anal. , vol.8 , pp. 71-84
    • López-Marcos, J.C.1    Sanz-Serna, J.M.2
  • 17
    • 84966240649 scopus 로고
    • The numerical solution of second order boundary value problems on nonuniform meshes
    • T.A. Manteuffel and A.B. White Jr, The numerical solution of second order boundary value problems on nonuniform meshes, Math. Comp. 47 (1986) 511-535.
    • (1986) Math. Comp. , vol.47 , pp. 511-535
    • Manteuffel, T.A.1    White A.B., Jr.2
  • 19
    • 0000898457 scopus 로고
    • Samarskiǐ, homogeneous difference schemes on nonuniform nets
    • English translation
    • A.N. Tikhonov and A.A. Samarskiǐ, Homogeneous difference schemes on nonuniform nets, Zh. Vychisl. Mat. i Mat. Fiz. 2 (1962) 812-832 (English translation).
    • (1962) Zh. Vychisl. Mat. I Mat. Fiz. , vol.2 , pp. 812-832
    • Tikhonov, A.N.1
  • 20
    • 0004456294 scopus 로고
    • A moving grid method for one space dimension pdes based on the method of lines
    • J.E. Flaherty, P.J. Paslow, M.S. Shephard and J.P. Vasilakis, eds.
    • J.G. Verwer, J.G. Blom, R.M. Furzeland and F.A. Zegeling, A moving grid method for one space dimension PDEs based on the method of lines, in: J.E. Flaherty, P.J. Paslow, M.S. Shephard and J.P. Vasilakis, eds., Adaptive Methods for Partial Differential Equations (1989) 160-175.
    • (1989) Adaptive Methods for Partial Differential Equations , pp. 160-175
    • Verwer, J.G.1    Blom, J.G.2    Furzeland, R.M.3    Zegeling, F.A.4
  • 21
    • 0001319952 scopus 로고
    • An adaptive moving grid method for one-dimensional system of partial differential equations
    • J.G. Verwer, J.G. Blom and J.M. Sanz-Serna, An adaptive moving grid method for one-dimensional system of partial differential equations, J. Comput. Phys. 82 (1989) 454-486.
    • (1989) J. Comput. Phys. , vol.82 , pp. 454-486
    • Verwer, J.G.1    Blom, J.G.2    Sanz-Serna, J.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.