-
2
-
-
0025229330
-
Multiquadrics-A scattered data approximation scheme with applications to computational fluid-dynamics. I. Surface approximations and partial derivative estimates
-
Kansa E.J. Multiquadrics-A scattered data approximation scheme with applications to computational fluid-dynamics. I. Surface approximations and partial derivative estimates. Comput. Math. Appl. 19 8-9 (1990) 127-145
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.8-9
, pp. 127-145
-
-
Kansa, E.J.1
-
3
-
-
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 8-9 (1990) 147-161
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.8-9
, pp. 147-161
-
-
Kansa, E.J.1
-
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 1 (1998) 73-82
-
(1998)
Appl. Math. Comput.
, vol.93
, Issue.1
, pp. 73-82
-
-
Franke, C.1
Schaback, R.2
-
5
-
-
0242667184
-
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. Comput. Math. Appl. 46 5-6 (2003) 891-902
-
(2003)
Comput. Math. Appl.
, vol.46
, Issue.5-6
, pp. 891-902
-
-
Larsson, E.1
Fornberg, B.2
-
6
-
-
0042334783
-
Exponential convergence and h - c multiquadric collocation method for partial differential equations
-
Cheng A.H.-D., Golberg M.A., Kansa E.J., and Zammito G. Exponential convergence and h - c multiquadric collocation method for partial differential equations. Numer. Methods Partial Differential Equations 19 5 (2003) 571-594
-
(2003)
Numer. Methods Partial Differential Equations
, vol.19
, Issue.5
, pp. 571-594
-
-
Cheng, A.H.-D.1
Golberg, M.A.2
Kansa, E.J.3
Zammito, G.4
-
7
-
-
84975945910
-
Spectral convergence of multiquadric interpolation
-
Buhmann M., and Dyn N. Spectral convergence of multiquadric interpolation. Proc. Edinb. Math. Soc. (2) 36 2 (1993) 319-333
-
(1993)
Proc. Edinb. Math. Soc. (2)
, vol.36
, Issue.2
, pp. 319-333
-
-
Buhmann, M.1
Dyn, N.2
-
9
-
-
23044522578
-
Adaptive greedy techniques for approximate solution of large RBF systems
-
Schaback R., and Wendland H. Adaptive greedy techniques for approximate solution of large RBF systems. Numer. Algorithms 24 3 (2000) 239-254
-
(2000)
Numer. Algorithms
, vol.24
, Issue.3
, pp. 239-254
-
-
Schaback, R.1
Wendland, H.2
-
10
-
-
0037276429
-
An adaptive greedy algorithm for solving large RBF collocation problems
-
Hon Y.C., Schaback R., and Zhou X. An adaptive greedy algorithm for solving large RBF collocation problems. Numer. Algorithms 32 1 (2003) 13-25
-
(2003)
Numer. Algorithms
, vol.32
, Issue.1
, pp. 13-25
-
-
Hon, Y.C.1
Schaback, R.2
Zhou, X.3
-
11
-
-
0008061154
-
Multiquadric collocation method with adaptive technique for problems with boundary layer
-
Hon Y.C. Multiquadric collocation method with adaptive technique for problems with boundary layer. Internat. J. Appl. Sci. Comput. 6 3 (1999) 173-184
-
(1999)
Internat. J. Appl. Sci. Comput.
, vol.6
, Issue.3
, pp. 173-184
-
-
Hon, Y.C.1
-
12
-
-
15544385301
-
Adaptive meshfree method of backward characteristics for nonlinear transport equations
-
Meshfree Methods for Partial Differential Equations (Bonn, 2001), Springer, Berlin
-
Behrens J., Iske A., and Käser M. Adaptive meshfree method of backward characteristics for nonlinear transport equations. Meshfree Methods for Partial Differential Equations (Bonn, 2001). Lect. Notes Comput. Sci. Eng. vol. 26 (2003), Springer, Berlin 21-36
-
(2003)
Lect. Notes Comput. Sci. Eng.
, vol.26
, pp. 21-36
-
-
Behrens, J.1
Iske, A.2
Käser, M.3
-
13
-
-
0036467813
-
Grid-free adaptive semi-Lagrangian advection using radial basis functions
-
Behrens J., and Iske A. Grid-free adaptive semi-Lagrangian advection using radial basis functions. Comput. Math. Appl. 43 3-5 (2002) 319-327
-
(2002)
Comput. Math. Appl.
, vol.43
, Issue.3-5
, pp. 319-327
-
-
Behrens, J.1
Iske, A.2
-
14
-
-
16644385826
-
Adaptive radial basis function methods for time dependent partial differential equations
-
Sarra S.A. Adaptive radial basis function methods for time dependent partial differential equations. Appl. Numer. Math. 54 1 (2005) 79-94
-
(2005)
Appl. Numer. Math.
, vol.54
, Issue.1
, pp. 79-94
-
-
Sarra, S.A.1
-
15
-
-
0346847275
-
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
-
Wendland H. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree. Adv. Comput. Math. 4 4 (1995) 389-396
-
(1995)
Adv. Comput. Math.
, vol.4
, Issue.4
, pp. 389-396
-
-
Wendland, H.1
-
16
-
-
34250122797
-
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 1 (1986) 11-22
-
(1986)
Constr. Approx.
, vol.2
, Issue.1
, pp. 11-22
-
-
Micchelli, C.A.1
-
17
-
-
0035556014
-
Spectral approximation orders of radial basis function interpolation on the Sobolev space
-
(Electronic)
-
Yoon J. Spectral approximation orders of radial basis function interpolation on the Sobolev space. SIAM J. Math. Anal. 33 4 (2001) 946-958 (Electronic)
-
(2001)
SIAM J. Math. Anal.
, vol.33
, Issue.4
, pp. 946-958
-
-
Yoon, J.1
-
18
-
-
0036467951
-
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. Comput. Math. Appl. 43 3-5 (2002) 413-422
-
(2002)
Comput. Math. Appl.
, vol.43
, Issue.3-5
, pp. 413-422
-
-
Driscoll, T.A.1
Fornberg, B.2
-
19
-
-
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
-
21
-
-
0033434521
-
An algorithm for selecting a good value for the parameter c in radial basis function interpolation
-
Rippa S. An algorithm for selecting a good value for the parameter c in radial basis function interpolation. Adv. Comput. Math. 11 2-3 (1999) 193-210
-
(1999)
Adv. Comput. Math.
, vol.11
, Issue.2-3
, pp. 193-210
-
-
Rippa, S.1
-
22
-
-
51249166702
-
Error estimates and condition numbers for radial basis function interpolation
-
Schaback R. Error estimates and condition numbers for radial basis function interpolation. Adv. Comput. Math. 3 3 (1995) 251-264
-
(1995)
Adv. Comput. Math.
, vol.3
, Issue.3
, pp. 251-264
-
-
Schaback, R.1
-
23
-
-
14644431037
-
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. Comput. Math. Appl. 48 5-6 (2004) 853-867
-
(2004)
Comput. Math. Appl.
, vol.48
, Issue.5-6
, pp. 853-867
-
-
Fornberg, B.1
Wright, G.2
-
24
-
-
0033442485
-
Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
-
Beatson R.K., Cherrie J.B., and Mouat C.T. Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration. Adv. Comput. Math. 11 2-3 (1999) 253-270
-
(1999)
Adv. Comput. Math.
, vol.11
, Issue.2-3
, pp. 253-270
-
-
Beatson, R.K.1
Cherrie, J.B.2
Mouat, C.T.3
-
25
-
-
33646486148
-
Polynomials and potential theory for Gaussian radial basis function interpolation
-
(Electronic)
-
Platte R.B., and Driscoll T.A. Polynomials and potential theory for Gaussian radial basis function interpolation. SIAM J. Numer. Anal. 43 2 (2005) 750-766 (Electronic)
-
(2005)
SIAM J. Numer. Anal.
, vol.43
, Issue.2
, pp. 750-766
-
-
Platte, R.B.1
Driscoll, T.A.2
-
26
-
-
0036467591
-
Observations on the behavior of radial basis function approximations near boundaries
-
Fornberg B., Driscoll T.A., Wright G., and Charles R. Observations on the behavior of radial basis function approximations near boundaries. Comput. Math. Appl. 43 3-5 (2002) 473-490
-
(2002)
Comput. Math. Appl.
, vol.43
, Issue.3-5
, pp. 473-490
-
-
Fornberg, B.1
Driscoll, T.A.2
Wright, G.3
Charles, R.4
-
27
-
-
34248216501
-
-
Driscoll T.A. http://www.math.udel.edu/~driscoll/index.html
-
-
-
Driscoll, T.A.1
-
28
-
-
0036468097
-
Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
-
Fedoseyev A.I., Friedman M.J., and Kansa E.J. Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary. Comput. Math. Appl. 43 3-5 (2002) 439-455
-
(2002)
Comput. Math. Appl.
, vol.43
, Issue.3-5
, pp. 439-455
-
-
Fedoseyev, A.I.1
Friedman, M.J.2
Kansa, E.J.3
-
29
-
-
84968515237
-
Scattered data interpolation: Tests of some methods
-
Franke R. Scattered data interpolation: Tests of some methods. Math. Comp. 38 157 (1982) 181-200
-
(1982)
Math. Comp.
, vol.38
, Issue.157
, pp. 181-200
-
-
Franke, R.1
-
30
-
-
0002494522
-
On the exponentially slow motion of a viscous shock
-
Reyna L.G., and Ward M.J. On the exponentially slow motion of a viscous shock. Comm. Pure Appl. Math. 48 2 (1995) 79-120
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, Issue.2
, pp. 79-120
-
-
Reyna, L.G.1
Ward, M.J.2
-
31
-
-
10644280743
-
Computing eigenmodes of elliptic operators using radial basis functions
-
Platte R.B., and Driscoll T.A. Computing eigenmodes of elliptic operators using radial basis functions. Comput. Math. Appl. 48 3-4 (2004) 561-576
-
(2004)
Comput. Math. Appl.
, vol.48
, Issue.3-4
, pp. 561-576
-
-
Platte, R.B.1
Driscoll, T.A.2
-
32
-
-
0000105971
-
Moving mesh methods based on moving mesh partial differential equations
-
Huang W., Ren Y., and Russell R.D. Moving mesh methods based on moving mesh partial differential equations. J. Comput. Phys. 113 2 (1994) 279-290
-
(1994)
J. Comput. Phys.
, vol.113
, Issue.2
, pp. 279-290
-
-
Huang, W.1
Ren, Y.2
Russell, R.D.3
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