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Volumn 43, Issue 4, 2006, Pages 331-353

Modified nodal cubic spline collocation for biharmonic equations

Author keywords

Cubic splines; Fast Fourier transforms; Nodal collocation; Preconditioned conjugate gradient

Indexed keywords


EID: 33847390701     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-007-9064-8     Document Type: Article
Times cited : (9)

References (14)
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    • Multigrid solution of automatically generated high-order discretization for the biharmonic equation
    • Atlas, I., Dym, J., Gupta, M.M., Manohar, R.P.: Multigrid solution of automatically generated high-order discretization for the biharmonic equation. SIAM J. Sci. Comput. 19, 1575-1585 (1998)
    • (1998) SIAM J. Sci. Comput , vol.19 , pp. 1575-1585
    • Atlas, I.1    Dym, J.2    Gupta, M.M.3    Manohar, R.P.4
  • 4
    • 0242362304 scopus 로고    scopus 로고
    • A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles
    • Bialecki, B.: A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles. J. Comput. Phys. 191, 601-621 (2003)
    • (2003) J. Comput. Phys , vol.191 , pp. 601-621
    • Bialecki, B.1
  • 5
    • 0002524664 scopus 로고
    • Fast numerical solution of the biharmonic Dirichlet problem on rectangles
    • Bjørstad, P.: Fast numerical solution of the biharmonic Dirichlet problem on rectangles. SIAM J. Numer. Anal. 20, 59-71 (1983)
    • (1983) SIAM J. Numer. Anal , vol.20 , pp. 59-71
    • Bjørstad, P.1
  • 7
    • 0015078437 scopus 로고
    • Solving the biharmonic equation as coupled finite difference equation
    • Ehrlich, L.W.: Solving the biharmonic equation as coupled finite difference equation. SIAM J. Numer Anal. 8, 278-287 (1971)
    • (1971) SIAM J. Numer Anal , vol.8 , pp. 278-287
    • Ehrlich, L.W.1
  • 10
    • 53249092236 scopus 로고    scopus 로고
    • Biharmonic problem in a rectangle
    • Meleshko, V.V.: Biharmonic problem in a rectangle. Appl. Sci. Res. 58, 217-249 (1998)
    • (1998) Appl. Sci. Res , vol.58 , pp. 217-249
    • Meleshko, V.V.1
  • 11
    • 0039485965 scopus 로고
    • On the numerical solution of the first biharmonic equation
    • Peisker, P.: On the numerical solution of the first biharmonic equation. Model. Math. Anal. Numer. 22, 655-676 (1988)
    • (1988) Model. Math. Anal. Numer , vol.22 , pp. 655-676
    • Peisker, P.1
  • 14
    • 0001539061 scopus 로고
    • Multilevel Schwarz methods for the biharmonic Dirichlet problem
    • Zhang, X.: Multilevel Schwarz methods for the biharmonic Dirichlet problem. SIAM J. Sci. Comput. 15, 621-644 (1994)
    • (1994) SIAM J. Sci. Comput , vol.15 , pp. 621-644
    • Zhang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.