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Volumn 62, Issue 206, 1994, Pages 645-669

Algorithms for optimal discontinuous piecewise linear and constant L2 fits to continuous functions with adjustable nodes in one and two dimensions

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EID: 84968502702     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1994-1223231-5     Document Type: Article
Times cited : (19)

References (12)
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    • Baines, M.J.1    Wathen, A.J.2
  • 3
    • 84966238161 scopus 로고
    • Unicity of best mean approximation by second order splines with variable knots
    • D. L. Barrow, C. K. Chui, P. W. Smith, and J. D. Ward, Unicity of best mean approximation by second order splines with variable knots, Math. Comp. 32 (1978), 1131-1143.
    • (1978) Math. Comp , vol.32 , pp. 1131-1143
    • Barrow, D.L.1    Chui, C.K.2    Smith, P.W.3    Ward, J.D.4
  • 4
    • 0012316589 scopus 로고
    • Good approximation by splines with variable knots
    • (A. Meir and A. Sarma, eds.), Intemat. Ser. Numer. Methods, Birkhauser, Basel
    • C. de Boor, Good approximation by splines with variable knots, Spline Functions and Approximation Theory (A. Meir and A. Sarma, eds.), Intemat. Ser. Numer. Methods, vol. 21, Birkhauser, Basel, 1973, pp. 57-72.
    • (1973) Spline Functions and Approximation Theory , vol.21 , pp. 57-72
    • De Boor, C.1
  • 5
    • 0002791812 scopus 로고
    • Good approximation by splines with variable knots
    • II, Numerical Methods for ODEs (Dundee 1973), Springer, New York and Berlin
    • C. de Boor, Good approximation by splines with variable knots, II, Numerical Methods for ODEs (Dundee 1973), Lecture Notes Math., vol. 3, Springer, New York and Berlin, 1974, pp. 12-20
    • (1974) Lecture Notes Math , vol.3 , pp. 12-20
    • De Boor, C.1
  • 6
    • 0022145329 scopus 로고
    • Grading functions and mesh redistribution
    • G. F. Carey and H. T. Dinh, Grading functions and mesh redistribution, SIAM J. Numer. Anal. 22 (1985), 1028-1040.
    • (1985) SIAM J. Numer. Anal , vol.22 , pp. 1028-1040
    • Carey, G.F.1    Dinh, H.T.2
  • 7
    • 84966234735 scopus 로고
    • On the smoothness of best L2 approximants from nonlinear spline manifolds
    • C. K. Chui, P. W. Smith, and J. D. Ward, On the smoothness of best L2 approximants from nonlinear spline manifolds, Math. Comp. 31 (1977), 17-23.
    • (1977) Math. Comp , vol.31 , pp. 17-23
    • Chui, C.K.1    Smith, P.W.2    Ward, J.D.3
  • 8
    • 84968478141 scopus 로고
    • A catalog of algorithms for approximation
    • (Shrivenham, England, 1988), Chapman and Hall
    • E. Grosse, A catalog of algorithms for approximation, Proc. Conf. on Algorithms for Approximation (Shrivenham, England, 1988), Chapman and Hall, 1988.
    • (1988) Proc. Conf. On Algorithms for Approximation
    • Grosse, E.1
  • 10
    • 0000046383 scopus 로고
    • On the best least squares approximation of continuous functions using linear splines with free knots
    • P. D. Loach and A. J. Wathen, On the best least squares approximation of continuous functions using linear splines with free knots, IMA J. Numer. Anal. 11 (1991), 393-409.
    • (1991) IMA J. Numer. Anal , vol.11 , pp. 393-409
    • Loach, P.D.1    Wathen, A.J.2
  • 11
    • 0001480945 scopus 로고
    • On the convergence of iterated remeshing
    • J. D. Pryce, On the convergence of iterated remeshing, IMA J. Numer. Anal. 9 (1989), 315-335.
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    • Pryce, J.D.1
  • 12
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    • On the selection of equidistributing meshes for two-point boundary value problems
    • A. B. White, On the selection of equidistributing meshes for two-point boundary value problems, SIAM J. Numer. Anal. 16 (1979), 473-502.
    • (1979) SIAM J. Numer. Anal , vol.16 , pp. 473-502
    • White, A.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.