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Volumn 137, Issue 2, 2005, Pages 238-249

Error estimates for matrix-valued radial basis function interpolation

Author keywords

Customized; Divergence free; Error estimates; Interpolation; Radial basis functions

Indexed keywords


EID: 29744452340     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jat.2005.09.008     Document Type: Article
Times cited : (33)

References (12)
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    • N. Dyn F.J. Narcowich J.D. Ward A framework for interpolation and approximation on Riemannian manifolds in: M.D. Buhman A. Iserles (Eds.) Approximation Theory and Optimization: Tributes to M.J.D. Powell 1997 Cambridge University Press Cambridge
    • (1997) Approximation Theory and Optimization: Tributes to M.J.D. Powell
    • Dyn, N.1    Narcowich, F.J.2    Ward, J.D.3
  • 2
    • 0033239782 scopus 로고    scopus 로고
    • Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold
    • N. Dyn F.J. Narcowich J.D. Ward Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold Constr. Approx. 15 1999 175-208
    • (1999) Constr. Approx. , vol.15 , pp. 175-208
    • Dyn, N.1    Narcowich, F.J.2    Ward, J.D.3
  • 3
    • 0040118904 scopus 로고    scopus 로고
    • Error estimates for scattered data interpolation on spheres
    • K. Jetter J. Stöckler J.D. Ward Error estimates for scattered data interpolation on spheres Math. Comp. 68 1999 733-747
    • (1999) Math. Comp. , vol.68 , pp. 733-747
    • Jetter, K.1    Stöckler, J.2    Ward, J.D.3
  • 5
    • 29744452727 scopus 로고    scopus 로고
    • Interpolation and approximation employing divergence-free radial basis functions with applications
    • Ph.D. Dissertation, Texas A&M University, College Station, TX, USA
    • S. Lowitzsch, Interpolation and approximation employing divergence-free radial basis functions with applications, Ph.D. Dissertation, Texas A&M University, College Station, TX, USA, 2002.
    • (2002)
    • Lowitzsch, S.1
  • 6
    • 84966244353 scopus 로고
    • Multivariate interpolation and conditionally positive definite functions II
    • W.R. Madych S.A. Nelson Multivariate interpolation and conditionally positive definite functions II Math. Comp. 54 1990 211-230
    • (1990) Math. Comp. , vol.54 , pp. 211-230
    • Madych, W.R.1    Nelson, S.A.2
  • 7
    • 0001134183 scopus 로고
    • Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
    • F.J. Narcowich Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold Math. Anal. Appl. 190 1995 165-193
    • (1995) Math. Anal. Appl. , vol.190 , pp. 165-193
    • Narcowich, F.J.1
  • 8
    • 84968510026 scopus 로고
    • Generalized Hermite interpolation via matrix-valued conditionally positive definite functions
    • F.J. Narcowich J.D. Ward Generalized Hermite interpolation via matrix-valued conditionally positive definite functions Math. Comp. 63 1994 661-687
    • (1994) Math. Comp. , vol.63 , pp. 661-687
    • Narcowich, F.J.1    Ward, J.D.2
  • 9
    • 0242360744 scopus 로고    scopus 로고
    • Refined error estimates for radial basis function interpolation
    • F.J. Narcowich J.D. Ward H. Wendland Refined error estimates for radial basis function interpolation Constr. Approx. 19 2003 541-564
    • (2003) Constr. Approx. , vol.19 , pp. 541-564
    • Narcowich, F.J.1    Ward, J.D.2    Wendland, H.3
  • 10
    • 0346847275 scopus 로고
    • Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
    • H. Wendland Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree Adv. Comput. Math. 4 1995 389-396
    • (1995) Adv. Comput. Math. , vol.4 , pp. 389-396
    • Wendland, H.1
  • 12
    • 14544290310 scopus 로고
    • Local error estimates for radial basis function interpolation of scattered data
    • Z. Wu R. Schaback Local error estimates for radial basis function interpolation of scattered data IMA J. Numer. Anal. 13 1993 13-27
    • (1993) IMA J. Numer. Anal. , vol.13 , pp. 13-27
    • Wu, Z.1    Schaback, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.