메뉴 건너뛰기




Volumn 30, Issue 1, 2002, Pages 1-10

Error estimates for multilevel approximation using polyharmonic splines

Author keywords

Convergence; Multilevel approximation; Polyharmonic splines

Indexed keywords


EID: 0036269363     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015674607196     Document Type: Article
Times cited : (18)

References (14)
  • 1
    • 0011002621 scopus 로고
    • Construction of three-dimensional black-hole initial data via multiquadrics
    • M.R. Dubal, Construction of three-dimensional black-hole initial data via multiquadrics, Phys. Rev. D 45 (1992) 1178-1186.
    • (1992) Phys. Rev. D , vol.45 , pp. 1178-1186
    • Dubal, M.R.1
  • 2
    • 0030571096 scopus 로고    scopus 로고
    • Multistep scattered data interpolation using compactly supported radial basis functions
    • M.S. Floater and A. Iske, Multistep scattered data interpolation using compactly supported radial basis functions, J. Comput. Appl. Math. 73 (1996) 65-78.
    • (1996) J. Comput. Appl. Math. , vol.73 , pp. 65-78
    • Floater, M.S.1    Iske, A.2
  • 3
    • 0037988444 scopus 로고
    • Studies of the R parameter in the multiquadric function applied to groundwater pumping
    • R.E. Hagan and E.J. Kansa, Studies of the R parameter in the multiquadric function applied to groundwater pumping, J. Appl. Sci. Comput. 1 (1994) 266-282.
    • (1994) J. Appl. Sci. Comput. , vol.1 , pp. 266-282
    • Hagan, R.E.1    Kansa, E.J.2
  • 4
    • 0141714179 scopus 로고    scopus 로고
    • Multilevel approximation to scattered data using inverse multiquadrics
    • eds. A. Cohen, C. Rabut and L.L. Schumaker (Vanderbilt University Press, Nashville
    • S.J. Hales and J. Levesley, Multilevel approximation to scattered data using inverse multiquadrics, in: Curve and Surface Fitting, Saint-Malo, 1999, eds. A. Cohen, C. Rabut and L.L. Schumaker (Vanderbilt University Press, Nashville, 2000).
    • (2000) Curve and Surface Fitting, Saint-Malo, 1999
    • Hales, S.J.1    Levesley, J.2
  • 5
    • 0001415363 scopus 로고
    • Radial basis functions: A class of grid-free, scattered data approximations
    • E.J. Kansa and R.E. Carlson, Radial basis functions: A class of grid-free, scattered data approximations, Comput. Fluid Dyn. J. 3 (1995) 479-496.
    • (1995) Comput. Fluid Dyn. J. , vol.3 , pp. 479-496
    • Kansa, E.J.1    Carlson, R.E.2
  • 6
    • 0033443790 scopus 로고    scopus 로고
    • Direct form seminorms arising in the theory of interpolation by translates of a basis function
    • J. Levesley and W. Light, Direct form seminorms arising in the theory of interpolation by translates of a basis function, Adv. Comput. Math. 11 (1999) 161-182.
    • (1999) Adv. Comput. Math. , vol.11 , pp. 161-182
    • Levesley, J.1    Light, W.2
  • 7
    • 0033477931 scopus 로고    scopus 로고
    • Spaces of distributions, interpolation by translates of a basis function and error estimates
    • W. Light and H. Wayne, Spaces of distributions, interpolation by translates of a basis function and error estimates, Numer. Math. 81 (1999) 415-450.
    • (1999) Numer. Math. , vol.81 , pp. 415-450
    • Light, W.1    Wayne, H.2
  • 8
    • 0002642902 scopus 로고
    • Multivariate interpolation and conditionally positive definite functions
    • W.R. Madych and S.A. Nelson, Multivariate interpolation and conditionally positive definite functions, Approx. Theory Appl. 4 (1988) 77-89.
    • (1988) Approx. Theory Appl. , vol.4 , pp. 77-89
    • Madych, W.R.1    Nelson, S.A.2
  • 12
    • 0000922795 scopus 로고
    • Multivariate interpolation and approximation by translates of a basis function
    • College Station, TX
    • R. Schaback, Multivariate interpolation and approximation by translates of a basis function, in: Approx. Theory VIII, Vol. 1 (College Station, TX, 1995) pp. 491-514.
    • (1995) Approx. Theory VIII , vol.1 , pp. 491-514
    • Schaback, R.1
  • 14
    • 0000764217 scopus 로고    scopus 로고
    • Error estimates for interpolation by compactly supported radial basis functions of minimal degree
    • H. Wendland, Error estimates for interpolation by compactly supported radial basis functions of minimal degree, J. Approx. Theory 93 (1998) 258-272.
    • (1998) J. Approx. Theory , vol.93 , pp. 258-272
    • Wendland, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.