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Volumn 85, Issue 2, 1997, Pages 333-344

On the convergence on nonrectangular grids

Author keywords

Convergence; Full discrete approximation; Moving grid methods; Nonrectangular grids

Indexed keywords

APPROXIMATION THEORY; DIFFERENCE EQUATIONS; FINITE DIFFERENCE METHOD; THEOREM PROVING;

EID: 0031272640     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00139-8     Document Type: Article
Times cited : (8)

References (15)
  • 1
    • 38249043795 scopus 로고
    • An adaptive method of lines with error control for parabolic equations of the reaction-diffusion type
    • M. Bieterman, I. Babuska, 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    Babuska, I.2
  • 2
    • 0000984027 scopus 로고
    • On simple moving grid methods for one dimensional partial differential equations
    • J.G. Blom, J.M. Sanz-Serna, 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
    • 1.1
    • J.G. Blom, J.M. Sanz-Serna, J.G. Verwer, A Lagrangian moving grid scheme for one-dimensional evolutionary partial differential equations, IMACS Ann. Comput. Appl. Math. 1.1 (1989) 247-255.
    • (1989) IMACS Ann. Comput. Appl. Math. , pp. 247-255
    • Blom, J.G.1    Sanz-Serna, J.M.2    Verwer, J.G.3
  • 5
    • 38249041847 scopus 로고
    • On the stability of mesh equidistribution strategies for time dependent partial differential equations
    • J.M. Coyle, I.E. Flaherty, R. Ludwig, On the stability of mesh equidistribution strategies for time dependent partial differential equations, J. Comput. Phys. 62 (1986) 26-39.
    • (1986) J. Comput. Phys. , vol.62 , pp. 26-39
    • Coyle, J.M.1    Flaherty, I.E.2    Ludwig, R.3
  • 6
    • 38249002789 scopus 로고
    • The second order initial/boundary value problems: Supraconvergence of regridding methods
    • J.A. Ferreira, The second order initial/boundary value problems: supraconvergence of regridding methods, App. Numer. Math. 13 (1993) 69-81.
    • (1993) App. Numer. Math. , vol.13 , pp. 69-81
    • Ferreira, J.A.1
  • 7
    • 0030149909 scopus 로고    scopus 로고
    • Supraconvergence of a class of moving grid methods for solving a nonlinear problem
    • J.A. Ferreira, Supraconvergence of a class of moving grid methods for solving a nonlinear problem, App. Numer. Math. 21 (1996) 43-56.
    • (1996) App. Numer. Math. , vol.21 , pp. 43-56
    • Ferreira, J.A.1
  • 8
    • 0041620523 scopus 로고
    • Convergence properties and regridding methods
    • J.A. Ferreira, P. Oliveira, Convergence properties and regridding methods, J. Comput. App. Math. 45 (1993) 321-330.
    • (1993) J. Comput. App. Math. , vol.45 , pp. 321-330
    • Ferreira, J.A.1    Oliveira, P.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, 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
  • 12
    • 0023393821 scopus 로고
    • Observations on an adaptive moving grid method for one-dimensional system of partial differential equations
    • L.R. Petzold, Observations on an adaptive moving grid method for one-dimensional system of partial differential equations, App. Numer. Math. 3 (1987) 347-360.
    • (1987) App. Numer. Math. , vol.3 , pp. 347-360
    • Petzold, L.R.1
  • 13
    • 0004456294 scopus 로고
    • A moving grid method for one space dimension PDE's based on the method of lines
    • J.E. Flaherty, P.J. Paslow, M.S. Sherphard, J.P. Vasilakis (Eds.)
    • J.G. Verwer, J.G. Blom, R.M. Furzeland, P.A. Zegeling, A moving grid method for one space dimension PDE's based on the method of lines, in: J.E. Flaherty, P.J. Paslow, M.S. Sherphard, J.P. Vasilakis (Eds.), Adaptive Methods for Partial Differential Equations, 1989, pp. 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, P.A.4
  • 14
    • 0001319952 scopus 로고
    • An adaptive moving grid method for one-dimensional system of partial differential equations
    • J.G. Verwer, J.G. Blom, J.M. Sanz-Sema, 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-Sema, J.M.3
  • 15
    • 0021600661 scopus 로고
    • Convergence of method of lines approximations to partial differential equations
    • J.G. Verwer, J.M. Sanz-Serna, Convergence of method of lines approximations to partial differential equations, Computing 33 (1984) 297-313.
    • (1984) Computing , vol.33 , pp. 297-313
    • Verwer, J.G.1    Sanz-Serna, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.