-
2
-
-
84975945910
-
Spectral convergence of multiquadric interpolation
-
Buhmann M.D., and Dyn N. Spectral convergence of multiquadric interpolation. Proc. Edinburgh Math. Soc. 36 2 (1993) 319-333
-
(1993)
Proc. Edinburgh Math. Soc.
, vol.36
, Issue.2
, pp. 319-333
-
-
Buhmann, M.D.1
Dyn, N.2
-
3
-
-
0035635781
-
A Padé-based algorithm for overcoming the Gibbs phenomenon
-
Driscoll T.A., and Fornberg B. A Padé-based algorithm for overcoming the Gibbs phenomenon. Numerical Algorithms 26 (2001) 77-92
-
(2001)
Numerical Algorithms
, vol.26
, pp. 77-92
-
-
Driscoll, T.A.1
Fornberg, B.2
-
4
-
-
0002245065
-
Solving partial differential equations by collocation using radial basis functions
-
Franke C., and Schaback R. Solving partial differential equations by collocation using radial basis functions. Appl. Math. Comput. 93 (1988) 73-83
-
(1988)
Appl. Math. Comput.
, vol.93
, pp. 73-83
-
-
Franke, C.1
Schaback, R.2
-
5
-
-
33846212409
-
-
D. Gottlieb, J.S. Hesthaven, Spectral Approximation of Partial Differential Equations: Numerical Analysis and Applications, Cambridge University Press, Cambridge, in press
-
-
-
-
7
-
-
0031381548
-
On the Gibbs phenomena and its resolution
-
Gottlieb D., and Shu C.-W. On the Gibbs phenomena and its resolution. SIAM Rev. 39 (1997) 644-668
-
(1997)
SIAM Rev.
, vol.39
, pp. 644-668
-
-
Gottlieb, D.1
Shu, C.-W.2
-
8
-
-
0002201787
-
On the Gibbs phenomenon I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
-
Gottlieb D., Shu C.-W., Solomonoff A., and Vandeven H. On the Gibbs phenomenon I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function. J. Comput. Appl. Math. 43 (1992) 81-92
-
(1992)
J. Comput. Appl. Math.
, vol.43
, pp. 81-92
-
-
Gottlieb, D.1
Shu, C.-W.2
Solomonoff, A.3
Vandeven, H.4
-
9
-
-
0001018295
-
Multiquadric equations of topography and other irregular surfaces
-
Hardy R.L. Multiquadric equations of topography and other irregular surfaces. J. Geophys. Res. 176 (1971) 1905-1915
-
(1971)
J. Geophys. Res.
, vol.176
, pp. 1905-1915
-
-
Hardy, R.L.1
-
10
-
-
33846201328
-
-
J.S. Hesthaven, R.M. Kirby, Filtering in Legendre spectral methods, in: International Conference of Spectral and High Order Methods 2004, Book of Abstract, 2004
-
-
-
-
11
-
-
0033133932
-
A multiquadric solution for the shallow water equations
-
Hon Y.C., Cheung K.F., Mao X.Z., and Kansa E.J. A multiquadric solution for the shallow water equations. J. Hydraulogy 125 5 (1999) 524-533
-
(1999)
J. Hydraulogy
, vol.125
, Issue.5
, pp. 524-533
-
-
Hon, Y.C.1
Cheung, K.F.2
Mao, X.Z.3
Kansa, E.J.4
-
12
-
-
0002879831
-
An efficient numerical scheme for Burgers equation
-
Hon Y.C., and Mao X.Z. An efficient numerical scheme for Burgers equation. Appl. Math. Comput. 95 (1998) 37-50
-
(1998)
Appl. Math. Comput.
, vol.95
, pp. 37-50
-
-
Hon, Y.C.1
Mao, X.Z.2
-
13
-
-
4444237676
-
Generalization of the inverse polynomial reconstruction method in the Resolution of the Gibbs Phenomena
-
Jung J.-H., and Shizgal B.D. Generalization of the inverse polynomial reconstruction method in the Resolution of the Gibbs Phenomena. J. Comput. Appl. Math. 172 (2004) 131-151
-
(2004)
J. Comput. Appl. Math.
, vol.172
, pp. 131-151
-
-
Jung, J.-H.1
Shizgal, B.D.2
-
14
-
-
29144478086
-
Inverse polynomial reconstruction of two dimensional Fourier images
-
Jung J.-H., and Shizgal B.D. Inverse polynomial reconstruction of two dimensional Fourier images. J. Sci. Comput. 25 (2005) 367-399
-
(2005)
J. Sci. Comput.
, vol.25
, pp. 367-399
-
-
Jung, J.-H.1
Shizgal, B.D.2
-
15
-
-
0025210711
-
Multiquadrics-A scattered data approximation scheme with applications to computational fluid dynamics: II. Solutions to parabolic, hyperbolic, and elliptic partial differential equations
-
Kansa E.J. Multiquadrics-A scattered data approximation scheme with applications to computational fluid dynamics: II. Solutions to parabolic, hyperbolic, and elliptic partial differential equations. Comput. Math. Appl. 19 6-8 (1990) 147-161
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.6-8
, pp. 147-161
-
-
Kansa, E.J.1
-
16
-
-
0002807993
-
Improved accuracy of multiquadric interpolation using variable shape parameters
-
Kansa E.J., and Carlson R.E. Improved accuracy of multiquadric interpolation using variable shape parameters. Comput. Math. Appl. 24 12 (1992) 99-120
-
(1992)
Comput. Math. Appl.
, vol.24
, Issue.12
, pp. 99-120
-
-
Kansa, E.J.1
Carlson, R.E.2
-
17
-
-
0034173976
-
Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
-
Kansa E.J., and Hon Y.C. Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations. Comput. Math. Appl. 39 (2000) 123-137
-
(2000)
Comput. Math. Appl.
, vol.39
, pp. 123-137
-
-
Kansa, E.J.1
Hon, Y.C.2
-
19
-
-
33846220067
-
-
E. Larsson, B. Fornberg, A numerical study of some radial basis function based solution methods for elliptic PDEs, Comput. Math. Appl., in press
-
-
-
-
20
-
-
33846219633
-
-
L. Ling, M. R. Trummer, Multiquadric collocation method with integral formulation for boundary layer problems, Preprint, 2003
-
-
-
-
21
-
-
0000172493
-
Miscellaneous error bounds for multiquadric and related interpolators
-
Madych W.R. Miscellaneous error bounds for multiquadric and related interpolators. Comput. Math. Appl. 24 (1992) 121-138
-
(1992)
Comput. Math. Appl.
, vol.24
, pp. 121-138
-
-
Madych, W.R.1
-
22
-
-
0002567674
-
Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
-
Madych W.R., and Nelson S.A. Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation. J. Approx. Theory 70 1 (1992) 94-114
-
(1992)
J. Approx. Theory
, vol.70
, Issue.1
, pp. 94-114
-
-
Madych, W.R.1
Nelson, S.A.2
-
23
-
-
33846196360
-
-
M.S. Min, M.S. Kaber, W.S. Don, Fourier-Padé approximations and filtering for the spectral simulations of incompressible Boussinesq convection problem, Publications of Laboratoire Jacques-Louis Lions, R03021, Math. Comput., in press
-
-
-
-
24
-
-
0242626810
-
Towards the resolution of the Gibbs phenomena
-
Shizgal B.D., and Jung J.-H. Towards the resolution of the Gibbs phenomena. J. Comput. Appl. Math. 161 (2003) 41-65
-
(2003)
J. Comput. Appl. Math.
, vol.161
, pp. 41-65
-
-
Shizgal, B.D.1
Jung, J.-H.2
-
25
-
-
0013002864
-
Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information
-
Tadmor E., and Tanner J. Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Found. Comput. Math. 2 (2002) 155-189
-
(2002)
Found. Comput. Math.
, vol.2
, pp. 155-189
-
-
Tadmor, E.1
Tanner, J.2
-
26
-
-
0001115166
-
Family of spectral filters for discontinuous problems
-
Vandeven H. Family of spectral filters for discontinuous problems. J. Sci. Comput. 6 2 (1991) 159-192
-
(1991)
J. Sci. Comput.
, vol.6
, Issue.2
, pp. 159-192
-
-
Vandeven, H.1
-
27
-
-
0035556014
-
Spectral approximation orders of radial basis function interpolation on the Sobolev space
-
Yoon J. Spectral approximation orders of radial basis function interpolation on the Sobolev space. SIAM J. Math. Anal. 33 (2001) 946-958
-
(2001)
SIAM J. Math. Anal.
, vol.33
, pp. 946-958
-
-
Yoon, J.1
-
28
-
-
0037215232
-
Overlapping domain decomposition method by radial basis functions
-
Zhou X., Hon Y.C., and Li J. Overlapping domain decomposition method by radial basis functions. Appl. Numer. Math. 44 (2003) 241-255
-
(2003)
Appl. Numer. Math.
, vol.44
, pp. 241-255
-
-
Zhou, X.1
Hon, Y.C.2
Li, J.3
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