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Volumn 35, Issue 2, 1998, Pages 617-631

Convergence analysis of orthogonal spline collocation for elliptic boundary value problems

Author keywords

Elliptic boundary value problems; Gauss points; Orthogonal spline collocation; Piecewise polynomials; Sobolev spaces

Indexed keywords


EID: 0001266031     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142996305406     Document Type: Article
Times cited : (47)

References (10)
  • 1
    • 0028485698 scopus 로고
    • 1-norm error bounds for piecewise Hermite bicubic orthogonal spline collocation schemes for elliptic boundary value problems
    • 1-norm error bounds for piecewise Hermite bicubic orthogonal spline collocation schemes for elliptic boundary value problems, SIAM J. Numer. Anal., 31 (1994), pp. 1128-1146.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1128-1146
    • Bialecki, B.1    Cai, X.C.2
  • 2
    • 0000497851 scopus 로고
    • Bounds for a class of linear functional with applications to Hermite interpolation
    • J. H. BRAMBLE AND S, R. HILBERT, Bounds for a class of linear functional with applications to Hermite interpolation, Numer. Math., 16 (1971), pp. 362-369.
    • (1971) Numer. Math. , vol.16 , pp. 362-369
    • Bramble, J.H.1    Hilbert, S.R.2
  • 5
    • 0003241565 scopus 로고
    • Collocation Methods for Parabolic Equations in a Single Space Variable
    • Springer-Verlag, New York
    • J. DOUGLAS JR. AND T, DUPONT, Collocation Methods for Parabolic Equations in a Single Space Variable, Lecture Notes in Math. 385, Springer-Verlag, New York, 1974.
    • (1974) Lecture Notes in Math. , vol.385
    • Douglas J., Jr.1    Dupont, T.2
  • 8
    • 0000383666 scopus 로고
    • 1 finite element collocation method for elliptic equations
    • 1 finite element collocation method for elliptic equations, SIAM J. Numer. Anal., 17 (1980), pp. 605-622.
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 605-622
    • Percell, P.1    Wheeler, M.F.2
  • 9
    • 0000164187 scopus 로고
    • Orthogonal collocation for elliptic partial differential equations
    • P. M. PRENTER AND R. D. RUSSELL, Orthogonal collocation for elliptic partial differential equations, SIAM J. Numer. Anal., 13 (1976), pp. 923-939.
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 923-939
    • Prenter, P.M.1    Russell, R.D.2
  • 10
    • 84966217446 scopus 로고
    • An observation concerning Ritz-Galerkin methods with indefinite bilinear forms
    • A. H. SCHATZ, An observation concerning Ritz-Galerkin methods with indefinite bilinear forms, Math. Comp., 28 (1974), pp. 959-962.
    • (1974) Math. Comp. , vol.28 , pp. 959-962
    • Schatz, A.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.