-
1
-
-
0034775741
-
Fast solution of the radial basis function interpolation equations: Domain decomposition methods
-
R. K. Beatson, W. A. Light, and S. Billings, Fast solution of the radial basis function interpolation equations: Domain decomposition methods, SIAM J. Sci. Comput., 22 (2000), pp. 1717-1740.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1717-1740
-
-
Beatson, R.K.1
Light, W.A.2
Billings, S.3
-
2
-
-
33645770295
-
On interpolation by radial polynomials
-
DOI 10.1007/s10444-004-7630-3
-
C. de Boor, On interpolation by radial polynomials, Adv. Comput. Math., 24 (2006), pp. 143- 153. (Pubitemid 43563916)
-
(2006)
Advances in Computational Mathematics
, vol.24
, Issue.1-4
, pp. 143-153
-
-
De Boor, C.1
-
3
-
-
33646130396
-
Some comments on the ill-conditioning of the method of fundamental solutions
-
C. S. Chen, H. A. Cho, and M. A. Golberg, Some comments on the ill-conditioning of the method of fundamental solutions, Engrg. Anal. Bound. Elem., 30 (2006), pp. 405-410.
-
(2006)
Engrg. Anal. Bound. Elem.
, vol.30
, pp. 405-410
-
-
Chen, C.S.1
Cho, H.A.2
Golberg, M.A.3
-
4
-
-
0036467951
-
Interpolation in the limit of increasingly flat radial basis functions
-
DOI 10.1016/S0898-1221(01)00295-4, PII S0898122101002954
-
T. A. Driscoll and B. Fornberg, Interpolation in the limit of increasingly flat radial basis functions, Comput. Math. Appl., 43 (2002), pp. 413-422. (Pubitemid 34104977)
-
(2002)
Computers and Mathematics with Applications
, vol.43
, Issue.3-5
, pp. 413-422
-
-
Driscoll, T.A.1
Fornberg, B.2
-
5
-
-
85008515483
-
Average case approximation: Convergence and tractability of Gaussian kernels
-
H. Woźniakowski and L. Plaskota, eds., Springer, to appear.
-
G. E. Fasshauer, F. J. Hickernell, and H. Woźniakowski, Average case approximation: convergence and tractability of Gaussian kernels, in Monte Carlo and Quasi-Monte Carlo Methods 2010, H. Woźniakowski and L. Plaskota, eds., Springer, to appear.
-
(2010)
Monte Carlo and Quasi-Monte Carlo Methods
-
-
Fasshauer, G.E.1
Hickernell, F.J.2
Woźniakowski, H.3
-
6
-
-
84861371337
-
On dimension-independent rates of convergence for function approximation with Gaussian kernels
-
G. E. Fasshauer, F. J. Hickernell, and H.Woźniakowski, On dimension-independent rates of convergence for function approximation with Gaussian kernels, SIAM J. Numer. Anal., 50 (2012), pp. 247-271.
-
(2012)
SIAM J. Numer. Anal.
, vol.50
, pp. 247-271
-
-
Fasshauer, G.E.1
Hickernell, F.J.2
Woźniakowski, H.3
-
7
-
-
0000669521
-
Scattered data fitting on the sphere
-
M. Dæhlen, T. Lyche, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN
-
G. E. Fasshauer and L. L. Schumaker, Scattered data fitting on the sphere, inMathematical Methods for Curves and Surfaces II, M. Dæhlen, T. Lyche, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN, 1998, pp. 117-166.
-
(1998)
Mathematical Methods for Curves and Surfaces II
, pp. 117-166
-
-
Fasshauer, G.E.1
Schumaker, L.L.2
-
8
-
-
80053982512
-
Reproducing kernels of generalized Sobolev spaces via a Green function approach with distributional operators
-
G. E. Fasshauer and Q. Ye, Reproducing kernels of generalized Sobolev spaces via a Green function approach with distributional operators, Numer. Math., 119 (2011), pp. 585-611.
-
(2011)
Numer. Math.
, vol.119
, pp. 585-611
-
-
Fasshauer, G.E.1
Ye, Q.2
-
9
-
-
84876443934
-
Reproducing kernels of Sobolev spaces via a Green function approach with differential operators and boundary operators
-
to appear. DOI: 10.1007/s10444-011-9264-6.
-
G. E. Fasshauer and Q. Ye, Reproducing kernels of Sobolev spaces via a Green function approach with differential operators and boundary operators, Adv. Comput. Math., to appear. DOI: 10.1007/s10444-011-9264-6.
-
Adv. Comput. Math.
-
-
Fasshauer, G.E.1
Ye, Q.2
-
11
-
-
84869800131
-
Green's functions: Taking another look at kernel approximation, radial basis functions, and splines
-
M. Neamtu and L. L. Schumaker, eds., Springer Proc. Math. Ser., Springer, New York
-
G. E. Fasshauer, Green's functions: Taking another look at kernel approximation, radial basis functions, and splines, in Approximation Theory XIII: San Antonio 2010, M. Neamtu and L. L. Schumaker, eds., Springer Proc. Math. Ser., Springer, New York, 2012, pp. 37-63.
-
(2012)
Approximation Theory XIII: San Antonio 2010
, pp. 37-63
-
-
Fasshauer, G.E.1
-
12
-
-
79957589881
-
Stable computations with Gaussian radial basis functions
-
B. Fornberg, E. Larsson, and N. Flyer, Stable computations with Gaussian radial basis functions, SIAM J. Sci. Comput., 33 (2011), pp. 869-892.
-
(2011)
SIAM J. Sci. Comput.
, vol.33
, pp. 869-892
-
-
Fornberg, B.1
Larsson, E.2
Flyer, N.3
-
13
-
-
38549125605
-
A stable algorithm for flat radial basis functions on a sphere
-
B. Fornberg and C. Piret, A stable algorithm for flat radial basis functions on a sphere, SIAM J. Sci. Comput., 30 (2007), pp. 60-80.
-
(2007)
SIAM J. Sci. Comput.
, vol.30
, pp. 60-80
-
-
Fornberg, B.1
Piret, C.2
-
14
-
-
14644431037
-
Stable computation of multiquadric interpolants for all values of the shape parameter
-
DOI 10.1016/j.camwa.2003.08.010, PII S0898122104003190
-
B. Fornberg and G. Wright, Stable computation of multiquadric interpolants for all values of the shape parameter, Comput. Math. Appl., 48 (2004), pp. 853-867. (Pubitemid 40319740)
-
(2004)
Computers and Mathematics with Applications
, vol.48
, Issue.5-6
, pp. 853-867
-
-
Fornberg, B.1
Wright, G.2
-
15
-
-
34250838673
-
The Runge phenomenon and spatially variable shape parameters in RBF interpolation
-
DOI 10.1016/j.camwa.2007.01.028, PII S0898122107002210
-
B. Fornberg and J. Zuev, The Runge phenomenon and spatially variable shape parameters in RBF interpolation, Comput. Math. Appl., 54 (2007), pp. 379-398. (Pubitemid 46977176)
-
(2007)
Computers and Mathematics with Applications
, vol.54
, Issue.3
, pp. 379-398
-
-
Fornberg, B.1
Zuev, J.2
-
16
-
-
0004236492
-
-
3rd ed., Johns Hopkins University Press, Baltimore, MD
-
G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed., Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
17
-
-
0242667184
-
A numerical study of some radial basis function based solution methods for elliptic PDEs
-
E. Larsson and B. Fornberg, A numerical study of some radial basis function based solution methods for elliptic PDEs, Comput. Math. Appl., 46 (2003), pp. 891-902.
-
(2003)
Comput. Math. Appl.
, vol.46
, pp. 891-902
-
-
Larsson, E.1
Fornberg, B.2
-
18
-
-
17944381991
-
Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
-
DOI 10.1016/j.camwa.2005.01.010, PII S0898122105000118
-
E. Larsson and B. Fornberg, Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions, Comput. Math. Appl., 49 (2005), pp. 103-130. (Pubitemid 40597177)
-
(2005)
Computers and Mathematics with Applications
, vol.49
, Issue.1
, pp. 103-130
-
-
Larsson, E.1
Fornberg, B.2
-
19
-
-
37249010964
-
Convergence of increasingly flat radial basis interpolants to polynomial interpolants
-
DOI 10.1137/050642113
-
Y. J. Lee, G. J. Yoon, and J. Yoon, Convergence of increasingly flat radial basis interpolants to polynomial interpolants, SIAM J. Math. Anal., 39 (2007), pp. 537-553. (Pubitemid 351456393)
-
(2007)
SIAM Journal on Mathematical Analysis
, vol.39
, Issue.2
, pp. 537-553
-
-
Lee, Y.J.1
Yoon, G.J.2
Yoon, J.3
-
20
-
-
0001500115
-
Functions of positive and negative type, and their connection with the theory of integral equations
-
J. Mercer, Functions of positive and negative type, and their connection with the theory of integral equations, Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, 209 (1909), pp. 415-446.
-
(1909)
Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of A Mathematical or Physical Character
, vol.209
, pp. 415-446
-
-
Mercer, J.1
-
21
-
-
80052754103
-
Impossibility of fast stable approximation of analytic functions from equispaced samples
-
R. B. Platte, L. N. Trefethen, and A. B. J. Kuijlaars, Impossibility of fast stable approximation of analytic functions from equispaced samples, SIAM Rev., 53 (2011), pp. 308-318.
-
(2011)
SIAM Rev.
, vol.53
, pp. 308-318
-
-
Platte, R.B.1
Trefethen, L.N.2
Kuijlaars, A.B.J.3
-
23
-
-
65749310935
-
Error estimates and condition numbers for radial basis function interpolation
-
R. Schaback, Error estimates and condition numbers for radial basis function interpolation, Adv. Comput. Math., 3 (1995), pp. 251-264.
-
(1995)
Adv. Comput. Math.
, vol.3
, pp. 251-264
-
-
Schaback, R.1
-
24
-
-
40049104874
-
Convergence of unsymmetric kernel-based meshless collocation methods
-
DOI 10.1137/050633366
-
R. Schaback, Convergence of unsymmetric kernel-based meshless collocation methods, SIAM J. Numer. Anal., 45 (2007), pp. 333-351. (Pubitemid 351321971)
-
(2007)
SIAM Journal on Numerical Analysis
, vol.45
, Issue.1
, pp. 333-351
-
-
Schaback, R.1
-
25
-
-
37249027597
-
Limit problems for interpolation by analytic radial basis functions
-
DOI 10.1016/j.cam.2006.11.023, PII S0377042706007151
-
R. Schaback, Limit problems for interpolation by analytic radial basis functions, J. Comput. Appl. Math., 212 (2008), pp. 127-149. (Pubitemid 350266206)
-
(2008)
Journal of Computational and Applied Mathematics
, vol.212
, Issue.2
, pp. 127-149
-
-
Schaback, R.1
-
26
-
-
84861402283
-
-
Institut für Numerische und Angewandte Mathematik, Universität Göttingen
-
R. Schaback, Approximationsverfahren II, Institut für Numerische und Angewandte Mathematik, Universität Göttingen, 2011; also available online from http://num.math.unigoettingen. de/schaback/teaching/Appverf II.pdf.
-
(2011)
Approximationsverfahren II
-
-
Schaback, R.1
-
27
-
-
0010744570
-
Über die Auflösung linearer Gleichungen mit unendlich vielen Unbekannten
-
E. Schmidt, Über die Auflösung linearer Gleichungen mit unendlich vielen Unbekannten, Rend. Circ. Mat. Palermo, 25 (1908), pp. 53-77.
-
(1908)
Rend. Circ. Mat. Palermo
, vol.25
, pp. 53-77
-
-
Schmidt, E.1
-
29
-
-
84861402280
-
-
American Mathematical Society, Providence, RI
-
G. Szego, Orthogonal Polynomials, Colloquium Publications, American Mathematical Society, Providence, RI, 1939.
-
(1939)
Orthogonal Polynomials, Colloquium Publications
-
-
Szego, G.1
-
30
-
-
0004220675
-
-
Academic Press Professional, San Diego, CA
-
J. F. Traub, G. W. Wasilkowski, and H. Woźniakowski, Information-Based Complexity, Academic Press Professional, San Diego, CA, 1988.
-
(1988)
Information-Based Complexity
-
-
Traub, J.F.1
Wasilkowski, G.W.2
Woźniakowski, H.3
-
31
-
-
26644435618
-
Scattered data approximation
-
Cambridge University Press, Cambridge, UK
-
H. Wendland, Scattered data approximation, Camb. Monogr. Appl. Comput. Math., Cambridge University Press, Cambridge, UK, 2005.
-
(2005)
Camb. Monogr. Appl. Comput. Math.
-
-
Wendland, H.1
-
32
-
-
0039813137
-
Gaussian regression and optimal finite dimensional linear models
-
C. M. Bishop, ed., Springer-Verlag, Berlin
-
H. Zhu, C. K. I. Williams, R. J. Rohwer, and M. Morciniec, Gaussian regression and optimal finite dimensional linear models, in Neural Networks and Machine Learning, C. M. Bishop, ed., Springer-Verlag, Berlin, 1998.
-
(1998)
Neural Networks and Machine Learning
-
-
Zhu, H.1
Williams, C.K.I.2
Rohwer, R.J.3
Morciniec, M.4
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