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Volumn 51, Issue 8 SPEC. ISS., 2006, Pages 1209-1222

A new class of oscillatory radial basis functions

Author keywords

Bessel functions; Multivariate interpolation; Radial basis functions; RBF

Indexed keywords

BESSEL FUNCTIONS; FUNCTION EVALUATION; INTERPOLATION; INVERSE PROBLEMS; MULTIVARIABLE SYSTEMS;

EID: 33745894671     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.04.004     Document Type: Article
Times cited : (58)

References (18)
  • 3
    • 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 (1986) 11-22
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 5
    • 0036467951 scopus 로고    scopus 로고
    • Interpolation in the limit of increasingly flat radial basis functions
    • Driscoll T.A., and Fornberg B. Interpolation in the limit of increasingly flat radial basis functions. Computers Math. Applic. 43 3-5 (2002) 413-422
    • (2002) Computers Math. Applic. , vol.43 , Issue.3-5 , pp. 413-422
    • Driscoll, T.A.1    Fornberg, B.2
  • 6
    • 14644431037 scopus 로고    scopus 로고
    • Stable computation of multiquadric interpolants for all values of the shape parameter
    • Fornberg B., and Wright G. Stable computation of multiquadric interpolants for all values of the shape parameter. Computers Math. Applic. 48 5/6 (2004) 853-867
    • (2004) Computers Math. Applic. , vol.48 , Issue.5-6 , pp. 853-867
    • Fornberg, B.1    Wright, G.2
  • 7
    • 0942300715 scopus 로고    scopus 로고
    • Some observations regarding interpolants in the limit of flat radial basis functions
    • Fornberg B., Wright G., and Larsson E. Some observations regarding interpolants in the limit of flat radial basis functions. Computers Math. Applic. 47 1 (2004) 37-55
    • (2004) Computers Math. Applic. , vol.47 , Issue.1 , pp. 37-55
    • Fornberg, B.1    Wright, G.2    Larsson, E.3
  • 8
    • 0242667184 scopus 로고    scopus 로고
    • A numerical study of some radial basis function based solution methods for elliptic PDEs
    • Larsson E., and Fornberg B. A numerical study of some radial basis function based solution methods for elliptic PDEs. Computers Math. Applic. 46 5/6 (2003) 891-902
    • (2003) Computers Math. Applic. , vol.46 , Issue.5-6 , pp. 891-902
    • Larsson, E.1    Fornberg, B.2
  • 9
    • 17944381991 scopus 로고    scopus 로고
    • Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
    • Larsson E., and Fornberg B. Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions. Computers Math. Applic. 49 1 (2005) 103-130
    • (2005) Computers Math. Applic. , vol.49 , Issue.1 , pp. 103-130
    • Larsson, E.1    Fornberg, B.2
  • 11
    • 21244456148 scopus 로고    scopus 로고
    • Multivariate interpolation by polynomials and radial basis functions
    • Schaback R. Multivariate interpolation by polynomials and radial basis functions. Constr. Approx. 21 (2005) 293-317
    • (2005) Constr. Approx. , vol.21 , pp. 293-317
    • Schaback, R.1
  • 12
    • 0001743201 scopus 로고
    • Metric spaces and completely monotone functions
    • Schoenberg I.J. Metric spaces and completely monotone functions. Ann. Math. 39 (1938) 811-841
    • (1938) Ann. Math. , vol.39 , pp. 811-841
    • Schoenberg, I.J.1
  • 13
    • 33745885825 scopus 로고    scopus 로고
    • Frequency optimization, radial basis functions and interpolation
    • Swedish Defence Research Agency, Division of Aeronautics, Stockholm
    • Jakobsson S. Frequency optimization, radial basis functions and interpolation. Scientific Report FOI-R-0984-SE (2004), Swedish Defence Research Agency, Division of Aeronautics, Stockholm
    • (2004) Scientific Report FOI-R-0984-SE
    • Jakobsson, S.1
  • 15
    • 0004144211 scopus 로고
    • Reprinted by Dover, (2004), Interscience, New York
    • Reprinted by Dover, (2004). John F. Plane Waves and Spherical Means (1955), Interscience, New York
    • (1955) Plane Waves and Spherical Means
    • John, F.1
  • 17
    • 0001303543 scopus 로고
    • Monotone Funktionen, Stieltjes Integrale und harmonische Analyse
    • Bochner S. Monotone Funktionen, Stieltjes Integrale und harmonische Analyse. Math. Ann. 108 (1933) 378-410
    • (1933) Math. Ann. , vol.108 , pp. 378-410
    • Bochner, S.1
  • 18
    • 33745902241 scopus 로고    scopus 로고
    • Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices
    • Flyer N. Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices. Computers Math. Applic. 51 8 (2006) 1199-1208
    • (2006) Computers Math. Applic. , vol.51 , Issue.8 , pp. 1199-1208
    • Flyer, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.