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Volumn 98, Issue 4, 2004, Pages 675-694

An error analysis for radial basis function interpolation

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EID: 17744366162     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-004-0543-8     Document Type: Article
Times cited : (5)

References (15)
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  • 4
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  • 6
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    • von Golitschek, M., Light, W.: Interpolation by polynomials and radial basis functions on spheres. Constr. Approx. 17, 1-18 (2001)
    • (2001) Constr. Approx. , vol.17 , pp. 1-18
    • Von Golitschek, M.1    Light, W.2
  • 7
    • 0034349137 scopus 로고    scopus 로고
    • Overcoming the boundary effects in surface spline interpolation
    • Johnson, M.J.: Overcoming the boundary effects in surface spline interpolation. IMA J. Numer. Anal. 20, 405-422 (2000)
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    • Johnson, M.J.1
  • 8
    • 0000961679 scopus 로고    scopus 로고
    • On power functions and error estimates for radial basis function interpolation
    • Light, W., Wayne, H.: On power functions and error estimates for radial basis function interpolation. J. Approx. Th. 92, 245-266 (1998)
    • (1998) J. Approx. Th. , vol.92 , pp. 245-266
    • Light, W.1    Wayne, H.2
  • 9
    • 0033477931 scopus 로고    scopus 로고
    • Spaces of distributions, interpolation by translates of a basis function and error estimates
    • Light, W., Wayne, H.: Spaces of distributions, interpolation by translates of a basis function and error estimates. Numer. Math. 81, 415-450 (1999)
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  • 10
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    • Madych, W.1    Nelson, S.2
  • 11
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • Micchelli, C.A.: Interpolation of scattered data: distance matrices and conditionally positive definite functions. Constr. Approx. 2, 11-22 (1986)
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 13
    • 0009901188 scopus 로고    scopus 로고
    • Sobolev-type error estimates for interpolation by radial basis functions
    • A. LeMéhauté, C. Rabut, L.L. Schumaker, (eds.), Vanderbilt University Press, Nashville, Tenessee USA
    • Wendland, H.: Sobolev-type error estimates for interpolation by radial basis functions. Surface Fitting and Multiresolution Methods, A. LeMéhauté, C. Rabut, L.L. Schumaker, (eds.), Vanderbilt University Press, Nashville, Tenessee USA, 1997, pp. 337-344
    • Surface Fitting and Multiresolution Methods , vol.1997 , pp. 337-344
    • Wendland, H.1
  • 14
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    • Local error estimates for radial basis function interpolation of scattered data
    • Wu, Z., Schaback, R.: Local error estimates for radial basis function interpolation of scattered data. IMA J. Numer. Anal. 13, 13-27 (1993)
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 13-27
    • Wu, Z.1    Schaback, R.2
  • 15
    • 0038129680 scopus 로고    scopus 로고
    • p-error estimates for 'shifted' surface spline interpolation on Sobolev space
    • p-error estimates for 'shifted' surface spline interpolation on Sobolev space. Math. Comp. 72, 1349-1367 (2003)
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    • Yoon, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.