-
1
-
-
0025210711
-
Multiquadrics - A scattered data approximation scheme with applications to computational fluid-dynamics - II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
-
E.J. Kansa 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 1990 147-161
-
(1990)
Comput. Math. Appl.
, vol.19
, pp. 147-161
-
-
Kansa, E.J.1
-
2
-
-
0002879831
-
An efficient numerical scheme for Burgers' equation
-
Y.C. Hon X.Z. Mao 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
-
3
-
-
0041593773
-
Solving partial differential equations with radial basis functions: Multilevel methods and smoothing
-
G.E. Fasshauer Solving partial differential equations with radial basis functions: Multilevel methods and smoothing Adv. Comput. Math. 11 1999 139-159
-
(1999)
Adv. Comput. Math.
, vol.11
, pp. 139-159
-
-
Fasshauer, G.E.1
-
4
-
-
0242667184
-
A numerical study of some radial basis function based solution methods for elliptic PDEs
-
E. Larsson B. Fornberg A numerical study of some radial basis function based solution methods for elliptic PDEs Comput. Math. Appl. 46 2003 891-902
-
(2003)
Comput. Math. Appl.
, vol.46
, pp. 891-902
-
-
Larsson, E.1
Fornberg, B.2
-
5
-
-
0034173976
-
Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
-
E.J. Kansa Y.C. Hon 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
-
6
-
-
16244376155
-
A least-squares preconditioner for radial basis functions collocation methods
-
L. Ling E.J. Kansa A least-squares preconditioner for radial basis functions collocation methods Adv. Comput. Math. 23 2005 31-54
-
(2005)
Adv. Comput. Math.
, vol.23
, pp. 31-54
-
-
Ling, L.1
Kansa, E.J.2
-
7
-
-
0037436111
-
Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations
-
C. Shu H. Ding K.S. Yeo Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Eng. 192 2003 941-954
-
(2003)
Comput. Methods Appl. Mech. Eng.
, vol.192
, pp. 941-954
-
-
Shu, C.1
Ding, H.2
Yeo, K.S.3
-
8
-
-
29144490536
-
Numerical comparison of least square-based finite difference (LSFD) and local multiquadric-differential quadrature (LMQDQ) methods
-
(submitted)
-
C. Shu, H. Ding, Numerical comparison of least square-based finite difference (LSFD) and local multiquadric-differential quadrature (LMQDQ) methods, Comput. Math. Appl. (submitted).
-
Comput. Math. Appl.
-
-
Shu, C.1
Ding, H.2
-
10
-
-
1942539307
-
Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
-
T. Cecil J. Qian S. Osher Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions J. Comput. Phys. 196 2004 327-347
-
(2004)
J. Comput. Phys.
, vol.196
, pp. 327-347
-
-
Cecil, T.1
Qian, J.2
Osher, S.3
-
11
-
-
29144474093
-
Radial basis function interpolation: Numerical and analytical developments
-
Ph.D. thesis, University of Colorado, Boulder
-
G. Wright, Radial basis function interpolation: Numerical and analytical developments, Ph.D. thesis, University of Colorado, Boulder, 2003.
-
(2003)
-
-
Wright, G.1
-
13
-
-
0032166374
-
Calculation of weights in finite difference formulas
-
B. Fornberg Calculation of weights in finite difference formulas SIAM Rev. 40 3 1998 685-691
-
(1998)
SIAM Rev.
, vol.40
, Issue.3
, pp. 685-691
-
-
Fornberg, B.1
-
14
-
-
0002677386
-
On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation
-
R. Abgrall On essentially non-oscillatory schemes on unstructured meshes: Analysis and implementation J. Comput. Phys. 114 1994 45-58
-
(1994)
J. Comput. Phys.
, vol.114
, pp. 45-58
-
-
Abgrall, R.1
-
17
-
-
0000172493
-
Miscellaneous error bounds for multiquadric and related interpolants
-
W.R. Madych Miscellaneous error bounds for multiquadric and related interpolants Comput. Math. Appl. 24 1992 121-138
-
(1992)
Comput. Math. Appl.
, vol.24
, pp. 121-138
-
-
Madych, W.R.1
-
18
-
-
16244408932
-
Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids
-
B. Fornberg N. Flyer Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids Adv. Comput. Math. 23 2005 5-20
-
(2005)
Adv. Comput. Math.
, vol.23
, pp. 5-20
-
-
Fornberg, B.1
Flyer, N.2
-
19
-
-
0036467951
-
Interpolation in the limit of increasingly flat radial basis functions
-
T.A. Driscoll B. Fornberg Interpolation in the limit of increasingly flat radial basis functions Comput. Math. Appl. 43 2002 413-422
-
(2002)
Comput. Math. Appl.
, vol.43
, pp. 413-422
-
-
Driscoll, T.A.1
Fornberg, B.2
-
20
-
-
0942300715
-
Some observations regarding interpolants in the limit of flat radial basis functions
-
B. Fornberg G. Wright E. Larsson Some observations regarding interpolants in the limit of flat radial basis functions Comput. Math. Appl. 47 2004 37-55
-
(2004)
Comput. Math. Appl.
, vol.47
, pp. 37-55
-
-
Fornberg, B.1
Wright, G.2
Larsson, E.3
-
21
-
-
17944381991
-
Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
-
E. Larsson B. Fornberg Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions Comput. Math. Appl. 49 2005 103-130
-
(2005)
Comput. Math. Appl.
, vol.49
, pp. 103-130
-
-
Larsson, E.1
Fornberg, B.2
-
22
-
-
21244456148
-
Multivariate interpolation by polynomials and radial basis functions
-
R. Schaback 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
-
24
-
-
9144220381
-
Compact finite difference schemes with spectral-like resolution
-
S.K. Lele Compact finite difference schemes with spectral-like resolution J. Comput. Phys. 103 1992 16-42
-
(1992)
J. Comput. Phys.
, vol.103
, pp. 16-42
-
-
Lele, S.K.1
-
25
-
-
34250122797
-
Interpolation of scattered data: Distance matrices and conditionally positive definite functions
-
C.A. Micchelli 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
-
26
-
-
51249166702
-
Error estimates and condition numbers for radial basis function interpolants
-
R. Schaback Error estimates and condition numbers for radial basis function interpolants Adv. Comput. Math. 3 1995 251-264
-
(1995)
Adv. Comput. Math.
, vol.3
, pp. 251-264
-
-
Schaback, R.1
-
27
-
-
0035556014
-
Spectral approximation orders of radial basis function interpolation on the Sobolev space
-
J. Yoon Spectral approximation orders of radial basis function interpolation on the Sobolev space SIAM J. Math. Anal. 23 4 2001 946-958
-
(2001)
SIAM J. Math. Anal.
, vol.23
, Issue.4
, pp. 946-958
-
-
Yoon, J.1
-
28
-
-
0001018295
-
Multiquadric equations of topograpy and other irregular surfaces
-
R.L. Hardy Multiquadric equations of topograpy and other irregular surfaces J. Geophy. Res. 76 1971 1905-1915
-
(1971)
J. Geophy. Res.
, vol.76
, pp. 1905-1915
-
-
Hardy, R.L.1
-
29
-
-
0025206382
-
Theory and applications of the multiquadric-biharmonic method: 20 years of discovery
-
R.L. Hardy Theory and applications of the multiquadric-biharmonic method: 20 years of discovery Comput. Math. Appl. 19 1990 163-208
-
(1990)
Comput. Math. Appl.
, vol.19
, pp. 163-208
-
-
Hardy, R.L.1
-
30
-
-
0033481828
-
Hermite interpolation with radial basis functions on spheres
-
G.E. Fasshauer Hermite interpolation with radial basis functions on spheres Adv. Comput. Math. 10 1999 81-96
-
(1999)
Adv. Comput. Math.
, vol.10
, pp. 81-96
-
-
Fasshauer, G.E.1
-
31
-
-
21344493132
-
Scattered Hermite interpolation using radial basis functions
-
X. Sun Scattered Hermite interpolation using radial basis functions Linear Algebra Appl. 207 1994 135-146
-
(1994)
Linear Algebra Appl.
, vol.207
, pp. 135-146
-
-
Sun, X.1
-
32
-
-
51649133223
-
Hermite-Birkhoff interpolation of scattered data by radial basis functions
-
Z. Wu Hermite-Birkhoff interpolation of scattered data by radial basis functions Approx. Theory Appl. 8 2 1992 1-10
-
(1992)
Approx. Theory Appl.
, vol.8
, Issue.2
, pp. 1-10
-
-
Wu, Z.1
-
33
-
-
14644431037
-
Stable computation of multiquadric interpolants for all values of the shape parameter
-
B. Fornberg G. Wright Stable computation of multiquadric interpolants for all values of the shape parameter Comput. Math. Appl. 48 2004 853-867
-
(2004)
Comput. Math. Appl.
, vol.48
, pp. 853-867
-
-
Fornberg, B.1
Wright, G.2
-
36
-
-
0011740432
-
High-order finite-difference schemes to solve Poisson's equation in polar coordinates
-
R.C. Mittal S. Gahlaut High-order finite-difference schemes to solve Poisson's equation in polar coordinates IMA J. Numer. Anal. 11 1991 261-270
-
(1991)
IMA J. Numer. Anal.
, vol.11
, pp. 261-270
-
-
Mittal, R.C.1
Gahlaut, S.2
-
38
-
-
0036144243
-
Fast direct solvers for Poisson equation on 2D polar and spherical geometries
-
M.-C. Lai W.-C. Wang Fast direct solvers for Poisson equation on 2D polar and spherical geometries Numer. Methods Partial Differential Equations 18 2002 56-68
-
(2002)
Numer. Methods Partial Differential Equations
, vol.18
, pp. 56-68
-
-
Lai, M.-C.1
Wang, W.-C.2
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