DOI: 10.1016/0898-1221(90)90270-t. Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates

Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates

10.1016/0898-1221(90)90270-t

Crossref journal-article

Elsevier BV

Computers & Mathematics with Applications (78)

Bibliography

Kansa, E. J. (1990). MultiquadricsâA scattered data approximation scheme with applications to computational fluid-dynamicsâI surface approximations and partial derivative estimates. Computers & Mathematics with Applications, 19(8â9), 127â145.

Authors 1

E.J. Kansa (first)

References 34 Referenced 1,535

10.1137/0717021 / SIAM Jl numer. Analysis / Monotone piecewise cubic interpolation by Fritsch (1980)
10.1137/0722023 / SIAM J numer. Analysis / Monotone piecewise bicubic interpolation by Carlson (1982)
10.1137/0904045 / SIAM Jl Sci. Stat. Comput. / Accurate monotonicity preserving cubic interpolation by Hyman (1983)
R. L. Dougherty, A. S. Edelman and J. M. Hyman, Positivity, monotonicity, or convexity-preserving cubic and quintic Hermite interpolation. LA-UR-85-2877 (submitted to SIAM Jl numer. Analysis).
10.1016/0021-9991(84)90073-1 / J. Comput. Phys. / Adaptive mesh refinement for hyperbolic partial differential equations by Berger (1984)
10.1016/0021-9991(74)90019-9 / J. Comput. Phys. / Toward the ultimate conservation scheme, I by van Leer (1974)
10.1016/0021-9991(77)90094-8 / J. Comput. Phys. / Toward the ultimate conservation scheme, II by van Leer (1974)
10.1016/0021-9991(77)90095-X / J. Comput. Phys. / Toward the ultimate conservation scheme, III by van Leer (1975)
{'key': '10.1016/0898-1221(90)90270-T_BIB7', 'first-page': '181', 'article-title': 'Scattered data interpolation: test of some methods', 'volume': '38', 'author': 'Franke', 'year': '1982', 'journal-title': 'Math. Comput.'} / Math. Comput. / Scattered data interpolation: test of some methods by Franke (1982)
{'key': '10.1016/0898-1221(90)90270-T_BIB8', 'series-title': 'Ph.D. Dissertation', 'article-title': 'Smooth multivariate interpolation to scattered data', 'author': 'Foley', 'year': '1979'} / Ph.D. Dissertation / Smooth multivariate interpolation to scattered data by Foley (1979)
{'key': '10.1016/0898-1221(90)90270-T_BIB9', 'series-title': 'Approximation Theory III', 'first-page': '419', 'article-title': 'Multivariate interpolation to scattered data using delta iteration', 'author': 'Foley', 'year': '1980'} / Approximation Theory III / Multivariate interpolation to scattered data using delta iteration by Foley (1980)
{'key': '10.1016/0898-1221(90)90270-T_BIB10', 'series-title': 'Report #231', 'article-title': 'Fonctions—spline du type plaque mince en dimension 2', 'author': 'Duchon', 'year': '1975'} / Report #231 / Fonctions—spline du type plaque mince en dimension 2 by Duchon (1975)
{'key': '10.1016/0898-1221(90)90270-T_BIB11', 'series-title': 'Report #27', 'article-title': 'Fonctions—spline a energie invariante par rotation', 'author': 'Duchon', 'year': '1976'} / Report #27 / Fonctions—spline a energie invariante par rotation by Duchon (1976)
10.1029/JB076i008p01905 / J. geophys. Res. / Multiquadric equations of topography and other irregular surfaces by Hardy (1971)
{'key': '10.1016/0898-1221(90)90270-T_BIB13', 'first-page': '321', 'article-title': 'Research results in the application of multiquadric equations to surveying and mapping problems', 'volume': '35', 'author': 'Hardy', 'year': '1975', 'journal-title': 'Survg Mapp.'} / Survg Mapp. / Research results in the application of multiquadric equations to surveying and mapping problems by Hardy (1975)
{'key': '10.1016/0898-1221(90)90270-T_BIB14', 'article-title': "A parameter study of Hardy's multiquadric method for scattered data interpolation", 'author': 'Tarwater', 'year': '1985', 'journal-title': 'UCRL-54670'} / UCRL-54670 / A parameter study of Hardy's multiquadric method for scattered data interpolation by Tarwater (1985)
10.1007/BF01893414 / Constr. Approx. / Interpolation of scattering data: distance matrices and conditionally positive definite functions by Micchelli (1986)
{'key': '10.1016/0898-1221(90)90270-T_BIB16', 'series-title': 'Mathematical Handbook for Scientists and Engineers', 'author': 'Korn', 'year': '1968'} / Mathematical Handbook for Scientists and Engineers by Korn (1968)
{'key': '10.1016/0898-1221(90)90270-T_BIB17', 'series-title': 'Curve and Surface Fitting: An Introduction', 'author': 'Lancaster', 'year': '1986'} / Curve and Surface Fitting: An Introduction by Lancaster (1986)
10.1216/RMJ-1984-14-1-265 / Rocky Mount. J. Math. / Estimation of gradients from scattered data by Stead (1984)
{'key': '10.1016/0898-1221(90)90270-T_BIB19', 'first-page': '111', 'article-title': "Application of Hardy's multiquadric interpolation to hydrodynamics", 'volume': 'Vol. 4', 'author': 'Kansa', 'year': '1986'} / Application of Hardy's multiquadric interpolation to hydrodynamics by Kansa (1986)
10.1016/0898-1221(87)90043-5 / Computers Math. Applic. / Interpolation and approximation of 3-D and 4-D scattered data by Foley (1987)
{'key': '10.1016/0898-1221(90)90270-T_BIB21', 'series-title': 'Recent advances in the approximation of surfaces from scattered data', 'author': 'Franke', 'year': '1986'} / Recent advances in the approximation of surfaces from scattered data by Franke (1986)
{'key': '10.1016/0898-1221(90)90270-T_BIB22', 'first-page': '365', 'article-title': 'An adaptive application of multiquadric interpolants for numerically modeling large numbers of irregularly spaced hydrographic data', 'volume': '44', 'author': 'Schiro', 'year': '1984', 'journal-title': 'Survg Mapp.'} / Survg Mapp. / An adaptive application of multiquadric interpolants for numerically modeling large numbers of irregularly spaced hydrographic data by Schiro (1984)
{'key': '10.1016/0898-1221(90)90270-T_BIB23', 'series-title': 'Technical Note COMA 3/86', 'article-title': 'Extensions of smoothing spline methods using generalized cross validation', 'author': 'Damon', 'year': '1986'} / Technical Note COMA 3/86 / Extensions of smoothing spline methods using generalized cross validation by Damon (1986)
10.1016/0167-8396(86)90034-8 / Comput. Aided. Geometric Des. / Scattered data interpolation and approximation with error bounds, Vol. 3 by Foley (1986)
10.1029/GL013i001p00018 / Geophys. Res. Lett. / A multiquadric-biharmonic representation and approximation of disturbing potentials by Hardy (1986)
{'key': '10.1016/0898-1221(90)90270-T_BIB26', 'first-page': '135', 'article-title': 'Surface Fitting with Biharmonic and Harmonic Models', 'author': 'Hardy', 'year': '1982'} / Surface Fitting with Biharmonic and Harmonic Models by Hardy (1982)
W. R. Madych and S. A. Nelson, Multivariate interpolation: a variational theory, J. Approx. Theory Applic. (in press).
10.1121/1.1906882 / J. acoust. Soc. Am. / Spherical wave propagation in solid media by Blake (1952)
10.1137/0908037 / SIAM Jl Sci. Stat. Comput. / Accurate conservative remapping (REZONING) for arbitrary Lagrangian-Eulerian computations by Dukowicz (1987)
R. E. Carlson, Private communication, LLNL (1986).
10.1137/0720026 / SIAM Jl numer. Analysis / Iterative solution of systems originating from integral equations and surface interpolation by Dyn (1983)
10.1137/0907043 / SIAM Jl Sci. Stat. Comput. / Numerical procedures for surface fitting of scattered data by radial functions by Dyn (1986)

Dates

Type	When
Created	22 years, 10 months ago (Oct. 8, 2002, 10:42 a.m.)
Deposited	6 years, 4 months ago (April 9, 2019, 4:26 p.m.)
Indexed	2 days, 1 hour ago (Aug. 19, 2025, 6:20 a.m.)
Issued	35 years, 7 months ago (Jan. 1, 1990)
Published	35 years, 7 months ago (Jan. 1, 1990)
Published Print	35 years, 7 months ago (Jan. 1, 1990)

Funders 0

None

BibTeX

@article{Kansa_1990, title={Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates}, volume={19}, ISSN={0898-1221}, url={http://dx.doi.org/10.1016/0898-1221(90)90270-t}, DOI={10.1016/0898-1221(90)90270-t}, number={8–9}, journal={Computers & Mathematics with Applications}, publisher={Elsevier BV}, author={Kansa, E.J.}, year={1990}, pages={127–145} }

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